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Saturday, May 23, 2020

A Grice Dictionary -- In Six Volumes, Vol. II.



PHILOSOPHY OF RELIGION. W.L.R. cave, allegory of the.PLATO. Cavell, Stanley Louis (b.1926), American philosopher whose work has explored skepticism and its consequences. He was Walter M. Cabot Professor of Aesthetics and General Value Theory at Harvard from 1963 until 1997. Central to Cavell’s thought is the view that skepticism is not a theoretical position to be refuted by philosophical theory or dismissed as a mere misuse of ordinary language; it is a reflection of the fundamental limits of human knowledge of the self, of others, and of the external world, limits that must be accepted – in his term “acknowledged” – because the refusal to do so results in illusion and risks tragedy. Cavell’s work defends J. L. Austin from both positivism and deconstructionism (Must We Mean What We Say?, 1969, and The Pitch of Philosophy, 1994), but not because Cavell is an “ordinary language” philosopher. Rather, his defense of Austin has combined with his response to skepticism to make him a philosopher of the ordinary: he explores the conditions of the possibility and limits of ordinary language, ordinary knowledge, ordinary action, and ordinary human relationships. He uses both the resources of ordinary language and the discourse of philosophers, such as Wittgenstein, Heidegger, Thoreau, and Emerson, and of the arts. Cavell has explored the ineliminability of skepticism in Must We Mean What We Say?, notably in its essay on King Lear, and has developed his analysis in his 1979 magnum opus, The Claim of Reason. He has examined the benefits of acknowledging the limits of human self-understanding, and the costs of refusing to do so, in a broad range of contexts from film (The World Viewed, 1971; Pursuits of Happiness, 1981; and Contesting Tears, 1996) to American philosophy (The Senses of Walden, 1972; and the chapters on Emerson in This New Yet Unapproachable America, 1989, and Conditions Handsome and Unhandsome, 1990). A central argument in The Claim of Reason develops Cavell’s approach by looking at Wittgenstein’s notion of criteria. Criteria are not rules for the use of our words that can guarantee the correctness of the claims we make by them; rather, criteria bring out what we claim by using the words we do. More generally, in making claims to knowledge, undertaking actions, and forming interpersonal relationships, we always risk failure, but it is also precisely in that room for risk that we find the possibility of freedom. This argument is indebted not only to Wittgenstein but also to Kant, especially in the Critique of Judgment. Cavell has used his view as a key to understanding classics of the theater and film. Regarding such tragic figures as Lear, he argues that their tragedies result from their refusal to accept the limits of human knowledge and human love, and their insistence on an illusory absolute and pure love. The World Viewed argues for a realistic approach to film, meaning that we should acknowledge that our cognitive and emotional responses to films are responses to the realities of the human condition portrayed in them. This “ontology of film” prepared the way for Cavell’s treatment of the genre of comedies of remarriage in Pursuits of Happiness. It also grounds his treatment of melodrama in Contesting Tears, which argues that human beings must remain tragically unknown to each other if the limits to our knowledge of each other are not acknowledged. In The Claim of Reason and later works Cavell has also contributed to moral philosophy by his defense – against Rawls’s critique of “moral perfectionism” – of “Emersonian perfectionism”: the view that no general principles of conduct, no matter how well established, can ever be employed in practice without the ongoing but never completed perfection of knowledge of oneself and of the others on and with whom one acts. Cavell’s Emersonian perfectionism is thus another application of his Wittgensteinian and Kantian recognition that rules must always be supplemented by the capacity for judgment.  AUSTIN, J. L.; EMERSON; KANT; cause, formal Cavell, Stanley Louis 128 4065A-  AM  128 ORDINARY LANGUAGE PHILOSOPHY; WITTGENSTEIN. P.Gu. Cavendish, Margaret, Duchess of Newcastle (1623–1673), English author of some dozen works in a variety of forms. Her central philosophical interest was the developments in natural science of her day. Her earliest works endorsed a kind of atomism, but her settled view, in Philosophical Letters (1664), Observations upon Experimental Philosophy (1666), and Grounds of Natural Philosophy (1668), was a kind of organic materialism. Cavendish argues for a hierarchy of increasingly fine matter, capable of self-motion. Philosophical Letters, among other matters, raises problems for the notion of inert matter found in Descartes, and Observations upon Experimental Philosophy criticizes microscopists such as Hooke for committing a double error, first of preferring the distortions introduced by instruments to unaided vision and second of preferring sense to reason.  ORGANISM. M.At. cellular automaton.SELF-REPRODUCING AUTOMATON. Celsus(late second century A.D.?), anti-Christian writer known only as the author of a work called The True Doctrine (Alethes Logos), which is quoted extensively by Origen of Alexandria in his response, Against Celsus(written in the late 240s). The True Doctrine is mainly important because it is the first anti-Christian polemic of which we have significant knowledge. Origen considers Celsus to be an Epicurean, but he is uncertain about this. There are no traces of Epicureanism in Origen’s quotations from Celsus, which indicate instead that he is an eclectic Middle Platonist of no great originality, a polytheist whose conception of the “unnameable” first deity transcending being and knowable only by “synthesis, analysis, or analogy” is based on Plato’s description of the Good in Republic VI. In accordance with the Timaeus, Celsus believes that God created “immortal things” and turned the creation of “mortal things” over to them. According to him, the universe has a providential organization in which humans hold no special place, and its history is one of eternally repeating sequences of events separated by catastrophes.  MIDDLE PLATONISM, ORIGEN. I.M. central state materialism.PHILOSOPHY OF MIND. certainty, the property of being certain, which is either a psychological property of persons or an epistemic feature of proposition-like objects (e.g., beliefs, utterances, statements). We can say that a person, S, is psychologically certain that p (where ‘p’ stands for a proposition) provided S has no doubt whatsoever that p is true. Thus, a person can be certain regardless of the degree of epistemic warrant for a proposition. In general, philosophers have not found this an interesting property to explore. The exception is Peter Unger, who argued for skepticism, claiming that (1) psychological certainty is required for knowledge and (2) no person is ever certain of anything or hardly anything. As applied to propositions, ‘certain’ has no univocal use. For example, some authors (e.g., Chisholm) may hold that a proposition is epistemically certain provided no proposition is more warranted than it. Given that account, it is possible that a proposition is certain, yet there are legitimate reasons for doubting it just as long as there are equally good grounds for doubting every equally warranted proposition. Other philosophers have adopted a Cartesian account of certainty in which a proposition is epistemically certain provided it is warranted and there are no legitimate grounds whatsoever for doubting it. Both Chisholm’s and the Cartesian characterizations of epistemic certainty can be employed to provide a basis for skepticism. If knowledge entails certainty, then it can be argued that very little, if anything, is known. For, the argument continues, only tautologies or propositions like ‘I exist’ or ‘I have beliefs’ are such that either nothing is more warranted or there are absolutely no grounds for doubt. Thus, hardly anything is known. Most philosophers have responded either by denying that ‘certainty’ is an absolute term, i.e., admitting of no degrees, or by denying that knowledge requires certainty (Dewey, Chisholm, Wittgenstein, and Lehrer). Others have agreed that knowledge does entail absolute certainty, but have argued that absolute certainty is possible (e.g., Moore). Sometimes ‘certain’ is modified by other expressions, as in ‘morally certain’ or ‘metaphysically certain’ or ‘logically certain’. Once again, there is no universally accepted account of these terms. Typically, however, they are used to indicate degrees of warrant for a proposition, and often that degree of warrant is taken to be a function of the type of proposition under consideration. For example, the proposition that smoking causes cancer is morally certain provided its warrant is sufficient to justify acting as though it were true. The evidence for such a proposition may, of necessity, depend upon recognizing particular features of the world. On the other hand, in Cavendish, Margaret certainty 129 4065A-  AM  129 order for a proposition, say that every event has a cause, to be metaphysically certain, the evidence for it must not depend upon recognizing particular features of the world but rather upon recognizing what must be true in order for our world to be the kind of world it is – i.e., one having causal connections. Finally, a proposition, say that every effect has a cause, may be logically certain if it is derivable from “truths of logic” that do not depend in any way upon recognizing anything about our world. Since other taxonomies for these terms are employed by philosophers, it is crucial to examine the use of the terms in their contexts.  EPISTEMOLOGY, JUSTIFICATION, SKEPTICISM. P.D.K. ceteris paribus clause.PHILOSOPHY OF SCIENCE. CH.Appendix of Special Symbols. chance.DETERMINISM. change.EVENT, TIME. change, Cambridge.CAMBRIDGE CHANGE. Chang Hsüeh-ch’eng (1738–1801), Chinese historian and philosopher who devised a dialectical theory of civilization in which beliefs, practices, institutions, and arts developed in response to natural necessities. This process reached its zenith several centuries before Confucius, who is unique in being the sage destined to record this moment. Chang’s teaching, “the Six Classics are all history,” means the classics are not theoretical statements about the tao (Way) but traces of it in operation. In the ideal age, a unity of chih (government) and chiao (teaching) prevailed; there were no private disciplines or schools of learning and all writing was anonymous, being tied to some official function. Later history has meandered around this ideal, dominated by successive ages of philosophy, philology, and literature. P.J.I. Chang Tsai (1020–1077), Chinese philosopher, a major Neo-Confucian figure whose Hsi-ming (“Western Inscription”) provided much of the metaphysical basis for Neo-Confucian ethics. It argues that the cosmos arose from a single source, the t’ai chi (Supreme Ultimate), as undifferentiated ch’i (ether) took shape out of an inchoate, primordial state, t’ai-hsü (the supremely tenuous). Thus the universe is fundamentally one. The sage “realizes his oneness with the universe” but, appreciating his particular place and role in the greater scheme, expresses his love for it in a graded fashion. Impure endowments of ch’i prevent most people from seeing the true nature of the world. They act “selfishly” but through ritual practice and learning can overcome this and achieve sagehood. P.J.I. chaos theory.PHILOSOPHY OF SCIENCE. chaotic system.PHILOSOPHY OF SCIENCE. character, the comprehensive set of ethical and intellectual dispositions of a person. Intellectual virtues – like carefulness in the evaluation of evidence – promote, for one, the practice of seeking truth. Moral or ethical virtues – including traits like courage and generosity – dispose persons not only to choices and actions but also to attitudes and emotions. Such dispositions are generally considered relatively stable and responsive to reasons. Appraisal of character transcends direct evaluation of particular actions in favor of examination of some set of virtues or the admirable human life as a whole. On some views this admirable life grounds the goodness of particular actions. This suggests seeking guidance from role models, and their practices, rather than relying exclusively on rules. Role models will, at times, simply perceive the salient features of a situation and act accordingly. Being guided by role models requires some recognition of just who should be a role model. One may act out of character, since dispositions do not automatically produce particular actions in specific cases. One may also have a conflicted character if the virtues one’s character comprises contain internal tensions (between, say, tendencies to impartiality and to friendship). The importance of formative education to the building of character introduces some good fortune into the acquisition of character. One can have a good character with a disagreeable personality or have a fine personality with a bad character because personality is not typically a normative notion, whereas character is.  CARDINAL VIRTUES, ETHICS, PERSONAL IDENTITY, EPISTEMOLOGY, VIRTUE ETHICS. M.J.M. character, semantic.INDEXICAL. characteristica universalis.COMPUTER THEORY, LEIBNIZ. ceteris paribus clause characteristica universalis 130 4065A-  AM  130 charity, principle of.MEANING. Charron, Pierre (1541–1603), French Catholic theologian who became the principal expositor of Montaigne’s ideas, presenting them in didactic form. His first work, The Three Truths (1595), presented a negative argument for Catholicism by offering a skeptical challenge to atheism, nonChristian religions, and Calvinism. He argued that we cannot know or understand God because of His infinitude and the weakness of our faculties. We can have no good reasons for rejecting Christianity or Catholicism. Therefore, we should accept it on faith alone. His second work, On Wisdom (1603), is a systematic presentation of Pyrrhonian skepticism coupled with a fideistic defense of Catholicism. The skepticism of Montaigne and the Greek skeptics is used to show that we cannot know anything unless God reveals it to us. This is followed by offering an ethics to live by, an undogmatic version of Stoicism. This is the first modern presentation of a morality apart from any religious considerations. Charron’s On Wisdom was extremely popular in France and England. It was read and used by many philosophers and theologians during the seventeenth century. Some claimed that his skepticism opened his defense of Catholicism to question, and suggested that he was insincere in his fideism. He was defended by important figures in the French Catholic church.  MONTAIGNE. R.H.P. cheapest-cost avoider, in the economic analysis of law, the party in a dispute that could have prevented the dispute, or minimized the losses arising from it, with the lowest loss to itself. The term encompasses several types of behavior. As the lowest-cost accident avoider, it is the party that could have prevented the accident at the lowest cost. As the lowest-cost insurer, it is the party that could been have insured against the losses arising from the dispute. This could be the party that could have purchased insurance at the lowest cost or self-insured, or the party best able to appraise the expected losses and the probability of the occurrence. As the lowest-cost briber, it is the party least subject to transaction costs. This party is the one best able to correct any legal errors in the assignment of the entitlement by purchasing the entitlement from the other party. As the lowest-cost information gatherer, it is the party best able to make an informed judgment as to the likely benefits and costs of an action.  COASE THEOREM, PHILOSOPHY OF ECONOMICS. M.S.M. Ch’en Hsien-chang (1428–1500), Chinese poetphilosopher. In the early Ming dynasty Chu Hsi’s li-hsüeh (learning of principles) had been firmly established as the orthodoxy and became somewhat fossilized. Ch’en opposed this trend and emphasized “self-attained learning” by digging deep into the self to find meaning in life. He did not care for book learning and conceptualization, and chose to express his ideas and feelings through poems. Primarily a Confucian, he also drew from Buddhism and Taoism. He was credited with being the first to realize the depth and subtlety of hsin-hsüeh (learning of the mind), later developed into a comprehensive philosophy by Wang Yang-ming.  CHU HSI, NEO-CONFUCIANISM, WANG YANG-MING. S.-h.L. ch’eng, Chinese term meaning ‘sincerity’. It means much more than just a psychological attitude. Mencius barely touched upon the subject; it was in the Confucian Doctrine of the Mean that the idea was greatly elaborated. The ultimate metaphysical principle is characterized by ch’eng, as it is true, real, totally beyond illusion and delusion. According to the classic, sincerity is the Way of Heaven; to think how to be sincere is the Way of man; and only those who can be absolutely sincere can fully develop their nature, after which they can assist in the transforming and nourishing process of Heaven and Earth.  MENCIUS. S.-H.L. Ch’eng Hao (1032–85), Ch’eng Yi (1033–1107), Chinese philosophers, brothers who established mature Neo-Confucianism. They elevated the notion of li (pattern) to preeminence and systematically linked their metaphysics to central ethical notions, e.g. hsing (nature) and hsin (heart/mind). Ch’eng Hao was more mystical and a stronger intuitionist. He emphasized a universal, creative spirit of life, jen (benevolence), which permeates all things, just as ch’i (ether/vital force) permeates one’s body, and likened an “unfeeling” (i.e., unbenevolent) person to an “unfeeling” (i.e., paralyzed) person. Both fail to realize a unifying “oneness.” Ch’eng Yi presented a more detailed and developed philosophical system in which the li (pattern) in the mind was awakened by perceiving the li in the world, particularly as revealed in the classics, and by t’ui (extending/inferring) their interconnections. If one studies with ching (reverential attentiveness), one can gain both cognitively accurate and affectively appropriate charity, principle of Ch’eng Hao, Ch’eng Yi 131 4065A-  AM  131 “real knowledge,” which Ch’eng Yi illustrates with an allegory about those who “know” (i.e., have heard that) tigers are dangerous and those who “know” because they have been mauled. The two brothers differ most in their views on self-cultivation. For Ch’eng Hao, it is more an inner affair: setting oneself right by bringing into full play one’s moral intuition. For Ch’eng Yi, self-cultivation was more external: chih chih (extending knowledge) through ko wu (investigating things). Here lie the beginnings of the major schools of Neo-Confucianism: the Lu–Wang and Ch’eng–Chu schools.  LI1, NEO-CONFUCIANISM. P.J.I. cheng ming, also called Rectification of Names, a Confucian program of language reform advocating a return to traditional language. There is a brief reference to cheng ming in Analects 13:3, but Hsün Tzu presents the most detailed discussion of it. While admitting that new words (ming) will sometimes have to be created, Hsün Tzu fears the proliferation of words, dialects, and idiolects will endanger effective communication. He is also concerned that new ways of speaking may lend themselves to sophistry or fail to serve such purposes as accurately distinguishing the noble from the base.  CONFUCIANISM. B.W.V.N. Cheng-shih hsüan-hsüeh.NEO-TAOISM. ch’i, Chinese term for ether, air, corporeal vital energy, and the “atmosphere” of a season, person, event, or work. Ch’i can be dense/impure or limpid/pure, warm/rising/active or cool/settling/still. The brave brim with ch’i; a coward lacks it. Ch’i rises with excitement or health and sinks with depression or illness. Ch’i became a concept coordinate with li (pattern), being the medium in which li is embedded and through which it can be experienced. Ch’i serves a role akin to ‘matter’ in Western thought, but being “lively” and “flowing,” it generated a distinct and different set of questions. P.J.I. Chiao Hung (1540?–1620), Chinese historian and philosopher affiliated with the T’ai-chou school, often referred to as the left wing of Wang Yang-ming’s hsin-hsüeh (learning of the mind). However, he did not repudiate book learning; he was very erudite, and became a forerunner of evidential research. He believed in the unity of the teachings of Confucianism, Buddhism, and Taoism. In opposition to Chu Hsi’s orthodoxy he made use of insights of Ch’an (Zen) Buddhism to give new interpretations to the classics. Learning for him is primarily and ultimately a process of realization in consciousness of one’s innate moral nature.  BUDDHISM, CHU HSI, NEO-CONFUCIANISM, WANG YANG-MING. S.-h.L. & A.K.L.C. Chia Yi (200–168 B.C.), Chinese scholar who attempted to synthesize Legalist, Confucian, and Taoist ideas. The Ch’in dynasty (221–206 B.C.) used the Legalist practice to unify China, but unlimited use of cruel punishment also caused its quick downfall; hence the Confucian system of li (propriety) had to be established, and the emperor had to delegate his power to able ministers to take care of the welfare of the people. The ultimate Way for Chia Yi is hsü (emptiness), a Taoist idea, but he interpreted it in such a way that it is totally compatible with the practice of li and the development of culture.  CONFUCIANISM, TAOISM. S.-h.L. ch’ien, k’un, in traditional Chinese cosmology, the names of the two most important trigrams in the system of I-Ching (the Book of Changes). Ch’ien (S) is composed of three undivided lines, the symbol of yang, and k’un (S S) three divided lines, the symbol of yin. Ch’ien means Heaven, the father, creativity; k’un means Earth, the mother, endurance. The two are complementary; they work together to form the whole cosmic order. In the system of I-Ching, there are eight trigrams, the doubling up of two trigrams forms a hexagram, and there are a total of sixtyfour hexagrams. The first two hexagrams are also named ch’ien (S S) and k’un (S S S S).  T’AICHI. S.-h.L. chien ai.MOHISM. Ch’ien-fu Lun, Chinese title of Comments of a Recluse (second century A.D.), a Confucian political and cosmological work by Wang Fu. Divided into thirty-six essays, it gives a vivid picture of the sociopolitical world of later Han China and prescribes practical measures to overcome corruption and other problems confronting the state. There are discussions on cosmology affirming the belief that the world is constituted by vital energy (ch’i). The pivotal role of human beings in shaping the world is emphasized. A person may be favorably endowed, but education remains crucial. Several essays address the perceived excesses in religious practices. Above all, the author targets for criticism the system of official appointment that privileges family backcheng ming Ch’ien-fu Lun 132 4065A-  AM  132 ground and reputation at the expense of moral worth and ability. Largely Confucian in outlook, the work reflects strong utilitarian interest reminiscent of Hsün Tzu.  CH’I, CONFUCIANISM. A.K.L.C. Ch’ien Mu (1895–1990), Chinese historian, a leading contemporary New Confucian scholar and cofounder (with T’ang Chün-i) of New Asia College in Hong Kong (1949). Early in his career he was respected for his effort to date the ancient Chinese philosophers and for his study of Confucian thought in the Han dynasty (206 B.C.–A.D. 220). During World War II he wrote the Outline of Chinese History, in which he developed a nationalist historical viewpoint stressing the vitality of traditional Chinese culture. Late in his career he published his monumental study of Chu Hsi (1130–1200). He firmly believed the spirit of Confucius and Chu Hsi should be revived today.  CHINESE PHILOSOPHY, CHU HSI, T’ANG CHÜN-I. S.-h.L. chih1, Chinese term roughly corresponding to ‘knowledge’. A concise explanation is found in the Hsün Tzu: “That in man by which he knows is called chih; the chih that accords with actuality is called wisdom (chih).” This definition suggests a distinction between intelligence or the ability to know and its achievement or wisdom, often indicated by its homophone. The later Mohists provide more technical definitions, stressing especially the connection between names and objects. Confucians for the most part are interested in the ethical significance of chih. Thus chih, in the Analects of Confucius, is often used as a verb in the sense ‘to realize’, conveying understanding and appreciation of ethical learning, in addition to the use of chih in the sense of acquiring information. And one of the basic problems in Confucian ethics pertains to chih-hsing ho-i (the unity of knowledge and action).  CONFUCIANISM, MOHISM. A.S.C. chih2, Chinese term often translated as ‘will’. It refers to general goals in life as well as to more specific aims and intentions. Chih is supposed to pertain to the heart/mind (hsin) and to be something that can be set up and attained. It is sometimes compared in Chinese philosophical texts to aiming in archery, and is explained by some commentators as “directions of the heart/mind.” Confucians emphasize the need to set up the proper chih to guide one’s behavior and way of life generally, while Taoists advocate letting oneself respond spontaneously to situations one is confronted with, free from direction by chih.  CONFUCIANISM. K.-l.S. chih-hsing ho-i, Chinese term for the Confucian doctrine, propounded by Wang Yang-ming, of the unity of knowledge and action. The doctrine is sometimes expressed in terms of the unity of moral learning and action. A recent interpretation focuses on the non-contingent connection between prospective and retrospective moral knowledge or achievement. Noteworthy is the role of desire, intention, will, and motive in the mediation of knowledge and action as informed by practical reasonableness in reflection that responds to changing circumstances. Wang’s doctrine is best construed as an attempt to articulate the concrete significance of jen, the NeoConfucian ideal of the universe as a moral community. A.S.C. Chillington, Richard.KILVINGTON. Chinese Legalism, the collective views of the Chinese “school of laws” theorists, so called in recognition of the importance given to strict application of laws in the work of Shang Yang (390–338 B.C.) and his most prominent successor, Han Fei Tzu (d. 223 B.C.). The Legalists were political realists who believed that success in the context of Warring States China (403–221 B.C.) depended on organizing the state into a military camp, and that failure meant nothing less than political extinction. Although they challenged the viability of the Confucian model of ritually constituted community with their call to law and order, they sidestepped the need to dispute the ritual-versus-law positions by claiming that different periods had different problems, and different problems required new and innovative solutions. Shang Yang believed that the fundamental and complementary occupations of the state, agriculture and warfare, could be prosecuted most successfully by insisting on adherence to clearly articulated laws and by enforcing strict punishments for even minor violations. There was an assumed antagonism between the interests of the individual and the interests of the state. By manipulating rewards and punishments and controlling the “handles of life and death,” the ruler could subjugate his people and bring them into compliance with the national purpose. Law would replace morality and function as the exclusive standard of good. Fastidious application of the law, with severe punishments for infractions, was believed to be a policy that Ch’ien Mu Chinese Legalism 133 4065A-  AM  133 would arrest criminality and quickly make punishment unnecessary. Given that the law served the state as an objective and impartial standard, the goal was to minimize any reliance upon subjective interpretation. The Legalists thus conceived of the machinery of state as operating automatically on the basis of self-regulating and self-perpetuating “systems.” They advocated techniques of statecraft (shu) such as “accountability” (hsing-ming), the demand for absolute congruency between stipulated duties and actual performance in office, and “doing nothing” (wu-wei), the ruler residing beyond the laws of the state to reformulate them when necessary, but to resist reinterpreting them to accommodate particular cases. Han Fei Tzu, the last and most influential spokesperson of Legalism, adapted the military precept of strategic advantage (shih) to the rule of government. The ruler, without the prestige and influence of his position, was most often a rather ordinary person. He had a choice: he could rely on his personal attributes and pit his character against the collective strength of his people, or he could tap the collective strength of the empire by using his position and his exclusive power over life and death as a fulcrum to ensure that his will was carried out. What was strategic advantage in warfare became political purchase in the government of the state. Only the ruler with the astuteness and the resolve to hoard and maximize all of the advantages available to him could guarantee continuation in power. Han Fei believed that the closer one was to the seat of power, the greater threat one posed to the ruler. Hence, all nobler virtues and sentiments – benevolence, trust, honor, mercy – were repudiated as means for conspiring ministers and would-be usurpers to undermine the absolute authority of the throne. Survival was dependent upon total and unflagging distrust.  FA, HAN FEI TZU, SHANG YANG. R.P.P. & R.T.A. Chinese philosophy, philosophy produced in China from the sixth century B.C. to the present. Traditional Chinese philosophy. Its history may be divided into six periods: (1) Pre-Ch’in, before 221 B.C. Spring and Autumn, 722–481 B.C. Warring States, 403–222 B.C. (2) Han, 206 B.C.–A.D. 220 Western (Former) Han, 206 B.C.–A.D. 8 Hsin, A.D. 9–23 Eastern (Later) Han, A.D. 25–220 (3) Wei-Chin, 220–420 Wei, 220–65 Western Chin, 265–317 Eastern Chin, 317–420 (4) Sui-Tang, 581–907 Sui, 581–618 Tang, 618–907 Five Dynasties, 907–60 (5) Sung-(Yüan)-Ming, 960–1644 Northern Sung, 960–1126 Southern Sung, 1127–1279 Yuan (Mongol), 1271–1368 Ming, 1368–1644 (6) Ch’ing (Manchu), 1644–1912 In the late Chou dynasty (1111–249 B.C.), before Ch’in (221–206 B.C.) unified the country, China entered the so-called Spring and Autumn period and the Warring States period, and Chou culture was in decline. The so-called hundred schools of thought were contending with one another; among them six were philosophically significant: (a) Ju-chia (Confucianism), represented by Confucius (551–479 B.C.), Mencius (371– 289 B.C.?), and Hsün Tzu (fl. 298–238 B.C.) (b) Tao-chia (Taoism), represented by Lao Tzu (sixth or fourth century B.C.) and Chuang Tzu (between 399 and 295 B.C.) (c) Mo-chia (Mohism), represented by Mo Tzu (fl. 479–438 B.C.) (d) Ming-chia (Logicians), represented by Hui Shih (380–305 B.C.), Kung-sun Lung (b.380 B.C.?) (e) Yin-yang-chia (Yin–yang school), represented by Tsou Yen (305–240 B.C.?) (f) Fa-chia (Legalism), represented by Han Fei (d. 233 B.C.) Thus, China enjoyed her first golden period of philosophy in the Pre-Ch’in period. As most Chinese philosophies were giving responses to existential problems then, it is no wonder Chinese philosophy had a predominantly practical character. It has never developed the purely theoretical attitude characteristic of Greek philosophy. During the Han dynasty, in 136 B.C., Confucianism was established as the state ideology. But it was blended with ideas of Taoism, Legalism, and the Yin–yang school. An organic view of the universe was developed; creative thinking was replaced by study of the so-called Five Classics: Book of Poetry, Book of History, Book of Changes, Book of Rites, and Spring and Autumn Annals. As the First Emperor of Ch’in burned the Classics except Chinese philosophy Chinese philosophy 134 4065A-  AM  134 for the I-Ching, in the early Han scholars were asked to write down the texts they had memorized in modern script. Later some texts in ancient script were discovered, but were rejected as spurious by modern-script supporters. Hence there were constant disputes between the modern-script school and the ancient-script school. Wei-Chin scholars were fed up with studies of the Classics in trivial detail. They also showed a tendency to step over the bounds of rites. Their interest turned to something more metaphysical; the Lao Tzu, the Chuang Tzu, and the I-Ching were their favorite readings. Especially influential were Hsiang Hsiu’s (fl. A.D. 250) and Kuo Hsiang’s (d. A.D. 312) Commentaries on the Chuang Tzu, and Wang Pi’s (226–49) Commentaries on the Lao Tzu and I-Ching. Although Wang’s perspective was predominantly Taoist, he was the first to brush aside the hsiang-shu (forms and numbers) approach to the study of the I-Ching and concentrate on i-li (meanings and principles) alone. Sung philosophers continued the i-li approach, but they reinterpreted the Classics from a Confucian perspective. Although Buddhism was imported into China in the late Han period, it took several hundred years for the Chinese to absorb Buddhist insights and ways of thinking. First the Chinese had to rely on ko-i (matching the concepts) by using Taoist ideas to transmit Buddhist messages. After the Chinese learned a great deal from Buddhism by translating Buddhist texts into Chinese, they attempted to develop the Chinese versions of Buddhism in the Sui–Tang period. On the whole they favored Mahayana over Hinayana (Theravada) Buddhism, and they developed a much more life-affirming attitude through Hua-yen and T’ien-tai Buddhism, which they believed to represent Buddha’s mature thought. Ch’an went even further, seeking sudden enlightenment instead of scripture studies. Ch’an, exported to Japan, has become Zen, a better-known term in the West. In response to the Buddhist challenge, the Neo-Confucian thinkers gave a totally new interpretation of Confucian philosophy by going back to insights implicit in Confucius’s so-called Four Books: the Analects, the Mencius, The Great Learning, and the Doctrine of the Mean (the latter two were chapters taken from the Book of Rites). They were also fascinated by the I-Ching. They borrowed ideas from Buddhism and Taoism to develop a new Confucian cosmology and moral metaphysics. Sung–Ming Neo-Confucianism brought Chinese philosophy to a new height; some consider the period the Chinese Renaissance. The movement started with Chou Tun-i (1017–73), but the real founders of Neo-Confucianism were the Ch’eng brothers: Ch’eng Hao (1032–85) and Ch’eng Yi (1033–1107). Then came Chu Hsi (1130–1200), a great synthesizer often compared with Thomas Aquinas or Kant in the West, who further developed Ch’eng Yi’s ideas into a systematic philosophy and originated the so-called Ch’eng–Chu school. But he was opposed by his younger contemporary Lu Hsiang-shan (1139–93). During the Ming dynasty, Wang Yang-ming (1472–1529) reacted against Chu Hsi by reviving the insight of Lu Hsiang-shan, hence the so-called Lu–Wang school. During the Ch’ing dynasty, under the rule of the Manchus, scholars turned to historical scholarship and showed little interest in philosophical speculation. In the late Ch’ing, K’ang Yu-wei (1858–1927) revived the modern-script school, pushed for radical reform, but failed miserably in his attempt. Contemporary Chinese philosophy. Three important trends can be discerned, intertwined with one another: the importation of Western philosophy, the dominance of Marxism on Mainland China, and the development of contemporary New Confucian philosophy. During the early twentieth century China awoke to the fact that traditional Chinese culture could not provide all the means for China to enter into the modern era in competition with the Western powers. Hence the first urgent task was to learn from the West. Almost all philosophical movements had their exponents, but they were soon totally eclipsed by Marxism, which was established as the official ideology in China after the Communist takeover in 1949. Mao Tse-tung (1893–1976) succeeded in the line of Marx, Engels, Lenin, and Stalin. The Communist regime was intolerant of all opposing views. The Cultural Revolution was launched in 1967, and for a whole decade China closed her doors to the outside world. Almost all the intellectuals inside or outside of the Communist party were purged or suppressed. After the Cultural Revolution was over, universities were reopened in 1978. From 1979 to 1989, intellectuals enjoyed unprecedented freedom. One editorial in People’s Daily News said that Marx’s ideas were the product of the nineteenth century and did not provide all the answers for problems at the present time, and hence it was desirable to develop Marxism further. Such a message was interpreted by scholars in different ways. Although the thoughts set forth by scholChinese philosophy Chinese philosophy 135 4065A-  AM  135 ars lacked depth, the lively atmosphere could be compared to the May Fourth New Culture Movement in 1919. Unfortunately, however, violent suppression of demonstrators in Peking’s Tiananmen Square in 1989 put a stop to all this. Control of ideology became much stricter for the time being, although the doors to the outside world were not completely closed. As for the Nationalist government, which had fled to Taiwan in 1949, the control of ideology under its jurisdiction was never total on the island; liberalism has been strong among the intellectuals. Analytic philosophy, existentialism, and hermeneutics all have their followers; today even radicalism has its attraction for certain young scholars. Even though mainstream Chinese thought in the twentieth century has condemned the Chinese tradition altogether, that tradition has never completely died out. In fact the most creative talents were found in the contemporary New Confucian movement, which sought to bring about a synthesis between East and West. Among those who stayed on the mainland, Fung Yu-lan (1895–1990) and Ho Lin (1902–92) changed their earlier views after the Communist takeover, but Liang Sou-ming (1893–1988) and Hsiung Shih-li (1885–1968) kept some of their beliefs. Ch’ien Mu (1895–1990) and Tang Chün-i (1909–78) moved to Hong Kong and Thomé H. Fang (1899–1976), Hsü Fu-kuan (1903–82), and Mou Tsung-san (1909–95) moved to Taiwan, where they exerted profound influence on younger scholars. Today contemporary New Confucianism is still a vital intellectual movement in Hong Kong, Taiwan, and overseas; it is even studied in Mainland China. The New Confucians urge a revival of the traditional spirit of jen (humanity) and sheng (creativity); at the same time they turn to the West, arguing for the incorporation of modern science and democracy into Chinese culture. The New Confucian philosophical movement in the narrower sense derived inspiration from Hsiung Shih-li. Among his disciples the most original thinker is Mou Tsung-san, who has developed his own system of philosophy. He maintains that the three major Chinese traditions – Confucian, Taoist, and Buddhist – agree in asserting that humans have the endowment for intellectual intuition, meaning personal participation in tao (the Way). But the so-called third generation has a much broader scope; it includes scholars with varied backgrounds such as Yu Ying-shih (b. 1930), Liu Shu-hsien (b. 1934), and Tu Wei-ming (b.1940), whose ideas have impact on intellectuals at large and whose selected writings have recently been allowed to be published on the mainland. The future of Chinese philosophy will still depend on the interactions of imported Western thought, Chinese Marxism, and New Confucianism.  BUDDHISM, CHU HSI, CONFUCIANISM, HSIUNG SHIH-LI, NEO-CONFUCIANISM, TAOISM, WANG YANG-MING. S.-h.L. Chinese room argument.SEARLE. ching, Chinese term meaning ‘reverence’, ‘seriousness’, ‘attentiveness’, ‘composure’. In early texts, ching is the appropriate attitude toward spirits, one’s parents, and the ruler; it was originally interchangeable with another term, kung (respect). Among Neo-Confucians, these terms are distinguished: ching reserved for the inner state of mind and kung for its outer manifestations. This distinction was part of the Neo-Confucian response to the quietistic goal of meditative calm advocated by many Taoists and Buddhists. Neo-Confucians sought to maintain an imperturbable state of “reverential attentiveness” not only in meditation but throughout all activity. This sense of ching is best understood as a Neo-Confucian appropriation of the Ch’an (Zen) ideal of yi-hsing san-mei (universal samadhi), prominent in texts such as the Platform Sutra. P.J.I. ch’ing, Chinese term meaning (1) ‘essence’, ‘essential’; (2) ‘emotion’, ‘passions’. Originally, the ch’ing of x was the properties without which x would cease to be the kind of thing that it is. In this sense it contrasts with the nature (hsing) of x: the properties x has if it is a flourishing instance of its kind. By the time of Hsün Tzu, though, ch’ing comes to refer to human emotions or passions. A list of “the six emotions” (liu ch’ing) soon became fairly standard: fondness (hao), dislike (wu), delight (hsi), anger (nu), sadness (ai), and joy (le). B.W.V.N. Chisholm, Roderick Milton (1916–99), influential American philosopher whose publications spanned the field, including ethics and the history of philosophy. He is mainly known as an epistemologist, metaphysician, and philosopher of mind. In early opposition to powerful forms of reductionism, such as phenomenalism, extensionalism, and physicalism, Chisholm developed an original philosophy of his own. Educated at Brown and Harvard (Ph.D., 1942), he spent nearly his entire career at Brown. Chinese room argument Chisholm, Roderick Milton 136 4065A-  AM  136 He is known chiefly for the following contributions. (a) Together with his teacher and later his colleague at Brown, C. J. Ducasse, he developed and long defended an adverbial account of sensory experience, set against the sense-datum act-object account then dominant. (b) Based on deeply probing analysis of the free will problematic, he defended a libertarian position, again in opposition to the compatibilism long orthodox in analytic circles. His libertarianism had, moreover, an unusual account of agency, based on distinguishing transeunt (event) causation from immanent (agent) causation. (c) In opposition to the celebrated linguistic turn of linguistic philosophy, he defended the primacy of intentionality, a defense made famous not only through important papers, but also through his extensive and eventually published correspondence with Wilfrid Sellars. (d) Quick to recognize the importance and distinctiveness of the de se, he welcomed it as a basis for much de re thought. (e) His realist ontology is developed through an intentional concept of “entailment,” used to define key concepts of his system, and to provide criteria of identity for occupants of fundamental categories. (f) In epistemology, he famously defended forms of foundationalism and internalism, and offered a delicately argued (dis)solution of the ancient problem of the criterion. The principles of Chisholm’s epistemology and metaphysics are not laid down antecedently as hard-and-fast axioms. Lacking any inviolable antecedent privilege, they must pass muster in the light of their consequences and by comparison with whatever else we may find plausible. In this regard he sharply contrasts with such epistemologists as Popper, with the skepticism of justification attendant on his deductivism, and Quine, whose stranded naturalism drives so much of his radical epistemology and metaphysics. By contrast, Chisholm has no antecedently set epistemic or metaphysical principles. His philosophical views develop rather dialectically, with sensitivity to whatever considerations, examples, or counterexamples reflection may reveal as relevant. This makes for a demanding complexity of elaboration, relieved, however, by a powerful drive for ontological and conceptual economy.  EPISTEMOLOGY, FOUNDATIONALISM, FREE WILL PROBLEM, KNOWLEDGE DE SE, PROBLEM OF THE CRITERION, SKEPTICISM. E.S. chit.SAT/CHIT/ANANDA. choice, axiom of.LÖWENHEIM-SKOLEM THEOREM, SET THEORY. choice sequence, a variety of infinite sequence introduced by L. E. J. Brouwer to express the non-classical properties of the continuum (the set of real numbers) within intuitionism. A choice sequence is determined by a finite initial segment together with a “rule” for continuing the sequence. The rule, however, may allow some freedom in choosing each subsequent element. Thus the sequence might start with the rational numbers 0 and then ½, and the rule might require the n ! 1st element to be some rational number within (½)n of the nth choice, without any further restriction. The sequence of rationals thus generated must converge to a real number, r. But r’s definition leaves open its exact location in the continuum. Speaking intuitionistically, r violates the classical law of trichotomy: given any pair of real numbers (e.g., r and ½), the first is either less than, equal to, or greater than the second. From the 1940s Brouwer got this non-classical effect without appealing to the apparently nonmathematical notion of free choice. Instead he used sequences generated by the activity of an idealized mathematician (the creating subject), together with propositions that he took to be undecided. Given such a proposition, P – e.g. Fermat’s last theorem (that for n ( 2 there is no general method of finding triplets of numbers with the property that the sum of each of the first two raised to the nth power is equal to the result of raising the third to the nth power) or Goldbach’s conjecture (that every even number is the sum of two prime numbers) – we can modify the definition of r: The n ! 1st element is ½ if at the nth stage of research P remains undecided. That element and all its successors are ½ ! (½)n if by that stage P is proved; they are ½ † (½)n if P is refuted. Since he held that there is an endless supply of such propositions, Brouwer believed that we can always use this method to refute classical laws. In the early 1960s Stephen Kleene and Richard Vesley reproduced some main parts of Brouwer’s theory of the continuum in a formal system based on Kleene’s earlier recursion-theoretic interpretation of intuitionism and of choice sequences. At about the same time – but in a different and occasionally incompatible vein – Saul Kripke formally captured the power of Brouwer’s counterexamples without recourse to recursive functions and without invoking either the creating subject or the notion of free choice. chit choice sequence 137 4065A-  AM  137 Subsequently Georg Kreisel, A. N. Troelstra, Dirk Van Dalen, and others produced formal systems that analyze Brouwer’s basic assumptions about open-futured objects like choice sequences.  MATHEMATICAL INTUITIONISM, PHILOSOPHY OF MATHEMATICS. C.J.P. Chomsky, Noam (b.1928), preeminent American linguist, philosopher, and political activist who has spent his professional career at the Massachusetts Institute of Technology. Chomsky’s best-known scientific achievement is the establishment of a rigorous and philosophically compelling foundation for the scientific study of the grammar of natural language. With the use of tools from the study of formal languages, he gave a far more precise and explanatory account of natural language grammar than had previously been given (Syntactic Structures, 1957). He has since developed a number of highly influential frameworks for the study of natural language grammar (e.g., Aspects of the Theory of Syntax, 1965; Lectures on Government and Binding, 1981; The Minimalist Program, 1995). Though there are significant differences in detail, there are also common themes that underlie these approaches. Perhaps the most central is that there is an innate set of linguistic principles shared by all humans, and the purpose of linguistic inquiry is to describe the initial state of the language learner, and account for linguistic variation via the most general possible mechanisms. On Chomsky’s conception of linguistics, languages are structures in the brains of individual speakers, described at a certain level of abstraction within the theory. These structures occur within the language faculty, a hypothesized module of the human brain. Universal Grammar is the set of principles hard-wired into the language faculty that determine the class of possible human languages. This conception of linguistics involves several influential and controversial theses. First, the hypothesis of a Universal Grammar entails the existence of innate linguistic principles. Secondly, the hypothesis of a language faculty entails that our linguistic abilities, at least so far as grammar is concerned, are not a product of general reasoning processes. Finally, and perhaps most controversially, since having one of these structures is an intrinsic property of a speaker, properties of languages so conceived are determined solely by states of the speaker. On this individualistic conception of language, there is no room in scientific linguistics for the social entities determined by linguistic communities that are languages according to previous anthropological conceptions of the discipline. Many of Chomsky’s most significant contributions to philosophy, such as his influential rejection of behaviorism (“Review of Skinner’s Verbal Behavior,” Language, 1959), stem from his elaborations and defenses of the above consequences (cf. also Cartesian Linguistics, 1966; Reflections on Language, 1975; Rules and Representations, 1980; Knowledge of Language, 1986). Chomsky’s philosophical writings are characterized by an adherence to methodological naturalism, the view that the mind should be studied like any other natural phenomenon. In recent years, he has also argued that reference, in the sense in which it is used in the philosophy of language, plays no role in a scientific theory of language (“Language and Nature,” Mind, 1995).  FORMAL LEARNABILITY THEORY, GRAMMAR, MEANING, PHILOSOPHY OF LANGUAGE, PSYCHOLINGUISTICS. J.Sta. Chomsky hierarchy of languages.PHILOSOPHY OF LANGUAGE. chora.KRISTEVA. Chou Tun-yi (1017–73), Chinese Neo-Confucian philosopher. His most important work, the T’aichi t’u-shuo (“Explanations of the Diagram of the Supreme Ultimate”), consists of a chart, depicting the constituents, structure, and evolutionary process of the cosmos, along with an explanatory commentary. This work, together with his T’ungshu (“Penetrating the I-Ching“), introduced many of the fundamental ideas of Neo-Confucian metaphysics. Consequently, heated debates arose concerning Chou’s diagram, some claiming it described the universe as arising out of wu (non-being) and thus was inspired by and supported Taoism. Chou’s primary interest was always cosmological; he never systematically related his metaphysics to ethical concerns.  T’AI-CHI. P.J.I. Chrysippus.STOICISM. Chrysorrhoas.JOHN OF DAMASCUS. ch’üan, Chinese term for a key Confucian concept that may be rendered as meaning ‘weighing of circumstances’, ‘exigency’, or ‘moral discretion’. A metaphorical extension of the basic sense of a steelyard for measuring weight, ch’üan essentially pertains to assessment of the imporChomsky, Noam ch’üan 138 4065A-  AM  138 tance of moral considerations to a current matter of concern. Alternatively, the exercise of ch’üan consists in a judgment of the comparative importance of competing options answering to a current problematic situation. The judgment must accord with li (principle, reason), i.e., be a principled or reasoned judgment. In the sense of exigency, ch’üan is a hard case, i.e., one falling outside the normal scope of the operation of standards of conduct. In the sense of ‘moral discretion’, ch’üan must conform to the requirement of i (rightness).  CONFUCIANISM. A.S.C. Chuang Tzu, also called Chuang Chou (4th century B.C.), Chinese Taoist philosopher. According to many scholars, ideas in the inner chapters (chapters 1 to 7) of the text Chuang Tzu may be ascribed to the person Chuang Tzu, while the other chapters contain ideas related to his thought and later developments of his ideas. The inner chapters contain dialogues, stories, verses, sayings, and brief essays geared toward inducing an altered perspective on life. A realization that there is no neutral ground for adjudicating between opposing judgments made from different perspectives is supposed to lead to a relaxation of the importance one attaches to such judgments and to such distinctions as those between right and wrong, life and death, and self and others. The way of life advocated is subject to different interpretations. Parts of the text seem to advocate a way of life not radically different from the conventional one, though with a lessened emotional involvement. Other parts seem to advocate a more radical change; one is supposed to react spontaneously to situations one is confronted with, with no preconceived goals or preconceptions of what is right or proper, and to view all occurrences, including changes in oneself, as part of the transformation process of the natural order.  TAOISM. K.-l.S. Chu Hsi (1130–1200), Neo-Confucian scholar of the Sung dynasty (960–1279), commonly regarded as the greatest Chinese philosopher after Confucius and Mencius. His mentor was Ch’eng Yi (1033–1107), hence the so-called Ch’eng–Chu School. Chu Hsi developed Ch’eng Yi’s ideas into a comprehensive metaphysics of li (principle) and ch’i (material force). Li is incorporeal, one, eternal, and unchanging, always good; ch’i is physical, many, transitory, and changeable, involving both good and evil. They are not to be mixed or separated. Things are composed of both li and ch’i. Chu identifies hsing (human nature) as li, ch’ing (feelings and emotions) as ch’i, and hsin (mind/heart) as ch’i of the subtlest kind, comprising principles. He interprets ko-wu in the Great Learning to mean the investigation of principles inherent in things, and chih-chih to mean the extension of knowledge. He was opposed by Lu Hsiang-shan (1139– 93) and Wang Yang-ming (1472–1529), who argued that mind is principle. Mou Tsung-san thinks that Lu’s and Wang’s position was closer to Mencius’s philosophy, which was honored as orthodoxy. But Ch’eng and Chu’s commentaries on the Four Books were used as the basis for civil service examinations from 1313 until the system was abolished in 1905.  CH’IEN MU, CHINESE PHILOSOPHY, CONFUCIUS, FUNG YULAN, MENCIUS, WANG YANG-MING. S.-h.L. chung, shu, Chinese philosophical terms important in Confucianism, meaning ‘loyalty’ or ‘commitment’, and ‘consideration’ or ‘reciprocity’, respectively. In the Analects, Confucius observes that there is one thread running through his way of life, and a disciple describes the one thread as constituted by chung and shu. Shu is explained in the text as not doing to another what one would not have wished done to oneself, but chung is not explicitly explained. Scholars interpret chung variously as a commitment to having one’s behavior guided by shu, as a commitment to observing the norms of li (rites) (to be supplemented by shu, which humanizes and adds a flexibility to the observance of such norms), or as a strictness in observing one’s duties toward superiors or equals (to be supplemented by shu, which involves considerateness toward inferiors or equals, thereby humanizing and adding a flexibility to the application of rules governing one’s treatment of them). The pair of terms continued to be used by later Confucians to refer to supplementary aspects of the ethical ideal or self-cultivation process; e.g., some used chung to refer to a full manifestation of one’s originally good heart/mind (hsin), and shu to refer to the extension of that heart/mind to others.  CONFUCIANISM. K.-l.S. Chung-yung, a portion of the Chinese Confucian classic Book of Rites. The standard English title of the Chung-yung (composed in the third or second century B.C.) is The Doctrine of the Mean, but Centrality and Commonality is more accurate. Although frequently treated as an independent classic from quite early in its history, it did not Chuang Tzu Chung-yung 139 4065A-  AM  139 receive canonical status until Chu Hsi made it one of the Four Books. The text is a collection of aphorisms and short essays unified by common themes. Portions of the text outline a virtue ethic, stressing flexible response to changing contexts, and identifying human flourishing with complete development of the capacities present in one’s nature (hsing), which is given by Heaven (t’ien). As is typical of Confucianism, virtue in the family parallels political virtue.  CH’ENG, TA-HSÜEH. B.W.V.N. chün-tzu, Chinese term meaning ‘gentleman’, ‘superior man’, ‘noble person’, or ‘exemplary individual’. Chün-tzu is Confucius’s practically attainable ideal of ethical excellence. A chün-tzu, unlike a sheng (sage), is one who exemplifies in his life and conduct a concern for jen (humanity), li (propriety), and i (rightness/righteousness). Jen pertains to affectionate regard to the well-being of one’s fellows in the community; li to ritual propriety conformable to traditional rules of proper behavior; and i to one’s sense of rightness, especially in dealing with changing circumstances. A chün-tzu is marked by a catholic and neutral attitude toward preconceived moral opinions and established moral practices, a concern with harmony of words and deeds. These salient features enable the chün-tzu to cope with novel and exigent circumstances, while at the same time heeding the importance of moral tradition as a guide to conduct. A.S.C. Church, Alonzo (1903–95), American logician, mathematician, and philosopher, known in pure logic for his discovery and application of the Church lambda operator, one of the central ideas of the Church lambda calculus, and for his rigorous formalizations of the theory of types, a higher-order underlying logic originally formulated in a flawed form by Whitehead and Russell. The lambda operator enables direct, unambiguous, symbolic representation of a range of philosophically and mathematically important expressions previously representable only ambiguously or after elaborate paraphrasing. In philosophy, Church advocated rigorous analytic methods based on symbolic logic. His philosophy was characterized by his own version of logicism, the view that mathematics is reducible to logic, and by his unhesitating acceptance of higherorder logics. Higher-order logics, including second-order, are ontologically rich systems that involve quantification of higher-order variables, variables that range over properties, relations, and so on. Higher-order logics were routinely used in foundational work by Frege, Peano, Hilbert, Gödel, Tarski, and others until around World War II, when they suddenly lost favor. In regard to both his logicism and his acceptance of higher-order logics, Church countered trends, increasingly dominant in the third quarter of the twentieth century, against reduction of mathematics to logic and against the so-called “ontological excesses” of higher-order logic. In the 1970s, although admired for his high standards of rigor and for his achievements, Church was regarded as conservative or perhaps even reactionary. Opinions have softened in recent years. On the computational and epistemological sides of logic Church made two major contributions. He was the first to articulate the now widely accepted principle known as Church’s thesis, that every effectively calculable arithmetic function is recursive. At first highly controversial, this principle connects intuitive, epistemic, extrinsic, and operational aspects of arithmetic with its formal, ontic, intrinsic, and abstract aspects. Church’s thesis sets a purely arithmetic outer limit on what is computationally achievable. Church’s further work on Hilbert’s “decision problem” led to the discovery and proof of Church’s theorem – basically that there is no computational procedure for determining, of a finite-premised first-order argument, whether it is valid or invalid. This result contrasts sharply with the previously known result that the computational truth-table method suffices to determine the validity of a finite-premised truthfunctional argument. Church’s thesis at once highlights the vast difference between propositional logic and first-order logic and sets an outer limit on what is achievable by “automated reasoning.” Church’s mathematical and philosophical writings are influenced by Frege, especially by Frege’s semantic distinction between sense and reference, his emphasis on purely syntactical treatment of proof, and his doctrine that sentences denote (are names of) their truth-values.  CHURCH’S THESIS, COMPUTABILITY, FORMALIZATION, HILBERT, HILBERT’S PROGRAM, LOGICISM, RECURSIVE FUNCTION THEORY, SECOND-ORDER LOGIC, TRUTH TABLE, TYPE THEORY. J.Cor. church fathers.PATRISTIC AUTHORS. Churchland, Patricia Smith (b.1943), Canadianborn American philosopher and advocate of neurophilosophy. She received her B.Phil. from Oxford in 1969 and held positions at the Unichün-tzu Churchland, Patricia Smith 140 4065A-  AM  140 versity of Manitoba and the Institute for Advanced Studies at Princeton, settling at the UniversityofCalifornia,SanDiego, with appointments in philosophy and the Institute for Neural Computation. Skeptical of philosophy’s a priori specification of mental categories and dissatisfied with computational psychology’s purely top-down approach to their function, Churchland began studying the brain at the University of Manitoba medical school. The result was a unique merger of science and philosophy, a “neurophilosophy” that challenged the prevailing methodology of mind. Thus, in a series of articles that includes “Fodor on Language Learning” (1978) and “A Perspective on Mind-Brain Research” (1980), she outlines a new neurobiologically based paradigm. It subsumes simple non-linguistic structures and organisms, since the brain is an evolved organ; but it preserves functionalism, since a cognitive system’s mental states are explained via high-level neurofunctional theories. It is a strategy of cooperation between psychology and neuroscience, a “co-evolutionary” process eloquently described in Neurophilosophy (1986) with the prediction that genuine cognitive phenomena will be reduced, some as conceptualized within the commonsense framework, others as transformed through the sciences. The same intellectual confluence is displayed through Churchland’s various collaborations: with psychologist and computational neurobiologist Terrence Sejnowski in The Computational Brain (1992); with neuroscientist Rodolfo Llinas in The Mind-Brain Continuum (1996); and with philosopher and husband Paul Churchland in On the Contrary (1998) (she and Paul Churchland are jointly appraised in R. McCauley, The Churchlands and Their Critics, 1996). From the viewpoint of neurophilosophy, interdisciplinary cooperation is essential for advancing knowledge, for the truth lies in the intertheoretic details.  PHILOSOPHY OF LANGUAGE, PHILOSOPHY OF MIND, PHILOSOPHY OF SCIENCE. R.P.E. Churchland, Paul M. (b.1942), Canadian-born American philosopher, leading proponent of eliminative materialism. He received his Ph.D. from the University of Pittsburgh in 1969 and held positions at the Universities of Toronto, Manitoba, and the Institute for Advanced Studies at Princeton. He is professor of philosophy and member of the Institute for Neural Computation at the University of California, San Diego. Churchland’s literary corpus constitutes a lucidly written, scientifically informed narrative where his neurocomputational philosophy unfolds. Scientific Realism and the Plasticity of Mind (1979) maintains that, though science is best construed realistically, perception is conceptually driven, with no observational given, while language is holistic, with meaning fixed by networks of associated usage. Moreover, regarding the structure of science, higher-level theories should be reduced by, incorporated into, or eliminated in favor of more basic theories from natural science, and, in the specific case, commonsense psychology is a largely false empirical theory, to be replaced by a non-sentential, neuroscientific framework. This skepticism regarding “sentential” approaches is a common thread, present in earlier papers, and taken up again in “Eliminative Materialism and the Propositional Attitudes” (1981). When fully developed, the non-sentential, neuroscientific framework takes the form of connectionist network or parallel distributed processing models. Thus, with essays in A Neurocomputational Perspective (1989), Churchland adds that genuine psychological processes are sequences of activation patterns over neuronal networks. Scientific theories, likewise, are learned vectors in the space of possible activation patterns, with scientific explanation being prototypical activation of a preferred vector. Classical epistemology, too, should be neurocomputationally naturalized. Indeed, Churchland suggests a semantic view whereby synonymy, or the sharing of concepts, is a similarity between patterns in neuronal state-space. Even moral knowledge is analyzed as stored prototypes of social reality that are elicited when an individual navigates through other neurocomputational systems. The entire picture is expressed in The Engine of Reason, the Seat of the Soul (1996) and, with his wife Patricia Churchland, by the essays in On the Contrary (1998). What has emerged is a neurocomputational embodiment of the naturalist program, a panphilosophy that promises to capture science, epistemology, language, and morals in one broad sweep of its connectionist net.  CONNECTIONISM, MEANING, PHILOSOPHY OF MIND, PHILOSOPHY OF SCIENCE. R.P.E. Church’s theorem.CHURCH’S THESIS. Church’s thesis, the thesis, proposed by Alonzo Church at a meeting of the American Mathematical Society in April 1935, “that the notion of an effectively calculable function of positive inteChurchland, Paul M. Church’s thesis 141 4065A-  AM  141 gers should be identified with that of a recursive function. . . .” This proposal has been called Church’s thesis ever since Kleene used that name in his Introduction to Metamathematics (1952). The informal notion of an effectively calculable function (effective procedure, or algorithm) had been used in mathematics and logic to indicate that a class of problems is solvable in a “mechanical fashion” by following fixed elementary rules. Underlying epistemological concerns came to the fore when modern logic moved in the late nineteenth century from axiomatic to formal presentations of theories. Hilbert suggested in 1904 that such formally presented theories be taken as objects of mathematical study, and metamathematics has been pursued vigorously and systematically since the 1920s. In its pursuit, concrete issues arose that required for their resolution a delimitation of the class of effective procedures. Hilbert’s important Entscheidungsproblem, the decision problem for predicate logic, was one such issue. It was solved negatively by Church and Turing – relative to the precise notion of recursiveness; the result was obtained independently by Church and Turing, but is usually called Church’s theorem. A second significant issue was the general formulation of the incompleteness theorems as applying to all formal theories (satisfying the usual representability and derivability conditions), not just to specific formal systems like that of Principia Mathematica. According to Kleene, Church proposed in 1933 the identification of effective calculability with l-definability. That proposal was not published at the time, but in 1934 Church mentioned it in conversation to Gödel, who judged it to be “thoroughly unsatisfactory.” In his Princeton Lectures of 1934, Gödel defined the concept of a recursive function, but he was not convinced that all effectively calculable functions would fall under it. The proof of the equivalence between l-definability and recursiveness (by Church and Kleene) led to Church’s first published formulation of the thesis as quoted above. The thesis was reiterated in Church’s “An Unsolvable Problem of Elementary Number Theory” (1936). Turing introduced, in “On Computable Numbers, with an Application to the Entscheidungsproblem” (1936), a notion of computability by machines and maintained that it captures effective calculability exactly. Post’s paper “Finite Combinatory Processes, Formulation 1” (1936) contains a model of computation that is strikingly similar to Turing’s. However, Post did not provide any analysis; he suggested considering the identification of effective calculability with his concept as a working hypothesis that should be verified by investigating ever wider formulations and reducing them to his basic formulation. (The classic papers of Gödel, Church, Turing, Post, and Kleene are all reprinted in Davis, ed., The Undecidable, 1965.) In his 1936 paper Church gave one central reason for the proposed identification, namely that other plausible explications of the informal notion lead to mathematical concepts weaker than or equivalent to recursiveness. Two paradigmatic explications, calculability of a function via algorithms or in a logic, were considered by Church. In either case, the steps taken in determining function values have to be effective; and if the effectiveness of steps is, as Church put it, interpreted to mean recursiveness, then the function is recursive. The fundamental interpretative difficulty in Church’s “step-by-step argument” (which was turned into one of the “recursiveness conditions” Hilbert and Bernays used in their 1939 characterization of functions that can be evaluated according to rules) was bypassed by Turing. Analyzing human mechanical computations, Turing was led to finiteness conditions that are motivated by the human computer’s sensory limitations, but are ultimately based on memory limitations. Then he showed that any function calculable by a human computer satisfying these conditions is also computable by one of his machines. Both Church and Gödel found Turing’s analysis convincing; indeed, Church wrote in a 1937 review of Turing’s paper that Turing’s notion makes “the identification with effectiveness in the ordinary (not explicitly defined) sense evident immediately.” This reflective work of partly philosophical and partly mathematical character provides one of the fundamental notions in mathematical logic. Indeed, its proper understanding is crucial for (judging) the philosophical significance of central metamathematical results – like Gödel’s incompleteness theorems or Church’s theorem. The work is also crucial for computer science, artificial intelligence, and cognitive psychology, providing in these fields a basic theoretical notion. For example, Church’s thesis is the cornerstone for Newell and Simon’s delimitation of the class of physical symbol systems, i.e. universal machines with a particular architecture; see Newell’s Physical Symbol Systems (1980). Newell views the delimitation “as the most fundamental contribution of artificial intelligence and computer science to the joint enterprise of cognitive science.” In a turn that had been taken by Turing in “Intelligent Machinery” (1948) and “ComputChurch’s thesis Church’s thesis 142 4065A-  AM  142 ing Machinery and Intelligence” (1950), Newell points out the basic role physical symbol systems take on in the study of the human mind: “the hypothesis is that humans are instances of physical symbol systems, and, by virtue of this, mind enters into the physical universe. . . . this hypothesis sets the terms on which we search for a scientific theory of mind.”  COMPUTER THEORY, GÖDEL’S INCOMPLETENESS THEOREMS, PROOF THEORY, RECURSIVE FUNCTION THEORY. W.S. Church-Turing thesis.PHILOSOPHY OF MIND. Cicero, Marcus Tullius (106–43 B.C.), Roman statesman, orator, essayist, and letter writer. He was important not so much for formulating individual philosophical arguments as for expositions of the doctrines of the major schools of Hellenistic philosophy, and for, as he put it, “teaching philosophy to speak Latin.” The significance of the latter can hardly be overestimated. Cicero’s coinages helped shape the philosophical vocabulary of the Latin-speaking West well into the early modern period. The most characteristic feature of Cicero’s thought is his attempt to unify philosophy and rhetoric. His first major trilogy, On the Orator, On the Republic, and On the Laws, presents a vision of wise statesmen-philosophers whose greatest achievement is guiding political affairs through rhetorical persuasion rather than violence. Philosophy, Cicero argues, needs rhetoric to effect its most important practical goals, while rhetoric is useless without the psychological, moral, and logical justification provided by philosophy. This combination of eloquence and philosophy constitutes what he calls humanitas – a coinage whose enduring influence is attested in later revivals of humanism – and it alone provides the foundation for constitutional governments; it is acquired, moreover, only through broad training in those subjects worthy of free citizens (artes liberales). In philosophy of education, this Ciceronian conception of a humane education encompassing poetry, rhetoric, history, morals, and politics endured as an ideal, especially for those convinced that instruction in the liberal disciplines is essential for citizens if their rational autonomy is to be expressed in ways that are culturally and politically beneficial. A major aim of Cicero’s earlier works is to appropriate for Roman high culture one of Greece’s most distinctive products, philosophical theory, and to demonstrate Roman superiority. He thus insists that Rome’s laws and political institutions successfully embody the best in Greek political theory, whereas the Greeks themselves were inadequate to the crucial task of putting their theories into practice. Taking over the Stoic conception of the universe as a rational whole, governed by divine reason, he argues that human societies must be grounded in natural law. For Cicero, nature’s law possesses the characteristics of a legal code; in particular, it is formulable in a comparatively extended set of rules against which existing societal institutions can be measured. Indeed, since they so closely mirror the requirements of nature, Roman laws and institutions furnish a nearly perfect paradigm for human societies. Cicero’s overall theory, if not its particular details, established a lasting framework for anti-positivist theories of law and morality, including those of Aquinas, Grotius, Suárez, and Locke. The final two years of his life saw the creation of a series of dialogue-treatises that provide an encyclopedic survey of Hellenistic philosophy. Cicero himself follows the moderate fallibilism of Philo of Larissa and the New Academy. Holding that philosophy is a method and not a set of dogmas, he endorses an attitude of systematic doubt. However, unlike Cartesian doubt, Cicero’s does not extend to the real world behind phenomena, since he does not envision the possibility of strict phenomenalism. Nor does he believe that systematic doubt leads to radical skepticism about knowledge. Although no infallible criterion for distinguishing true from false impressions is available, some impressions, he argues, are more “persuasive” (probabile) and can be relied on to guide action. In Academics he offers detailed accounts of Hellenistic epistemological debates, steering a middle course between dogmatism and radical skepticism. A similar strategy governs the rest of his later writings. Cicero presents the views of the major schools, submits them to criticism, and tentatively supports any positions he finds “persuasive.” Three connected works, On Divination, On Fate, and On the Nature of the Gods, survey Epicurean, Stoic, and Academic arguments about theology and natural philosophy. Much of the treatment of religious thought and practice is cool, witty, and skeptically detached – much in the manner of eighteenth-century philosophes who, along with Hume, found much in Cicero to emulate. However, he concedes that Stoic arguments for providence are “persuasive.” So too in ethics, he criticizes Epicurean, Stoic, and Peripatetic doctrines in On Ends (45) and their views on death, pain, irrational emotions, and happiChurch-Turing thesis Cicero, Marcus Tullius 143 4065A-  AM  143 ness in Tusculan Disputations (45). Yet, a final work, On Duties, offers a practical ethical system based on Stoic principles. Although sometimes dismissed as the eclecticism of an amateur, Cicero’s method of selectively choosing from what had become authoritative professional systems often displays considerable reflectiveness and originality.  HELLENISTIC PHILOSOPHY, NATURAL LAW, NEW ACADEMY, STOICISM. P.Mi. circularity.CIRCULAR REASONING, DEFINITION, DIALLELON. circular reasoning, reasoning that, when traced backward from its conclusion, returns to that starting point, as one returns to a starting point when tracing a circle. The discussion of this topic by Richard Whatley (1787–1863) in his Logic (1826) sets a high standard of clarity and penetration. Logic textbooks often quote the following example from Whatley: To allow every man an unbounded freedom of speech must always be, on the whole, advantageous to the State; for it is highly conducive to the interests of the Community, that each individual should enjoy a liberty perfectly unlimited, of expressing his sentiments. This passage illustrates how circular reasoning is less obvious in a language, such as English, that, in Whatley’s words, is “abounding in synonymous expressions, which have no resemblance in sound, and no connection in etymology.” The premise and conclusion do not consist of just the same words in the same order, nor can logical or grammatical principles transform one into the other. Rather, they have the same propositional content: they say the same thing in different words. That is why appealing to one of them to provide reason for believing the other amounts to giving something as a reason for itself. Circular reasoning is often said to beg the question. ‘Begging the question’ and petitio principii are translations of a phrase in Aristotle connected with a game of formal disputation played in antiquity but not in recent times. The meanings of ‘question’ and ‘begging’ do not in any clear way determine the meaning of ‘question begging’. There is no simple argument form that all and only circular arguments have. It is not logic, in Whatley’s example above, that determines the identity of content between the premise and the conclusion. Some theorists propose rather more complicated formal or syntactic accounts of circularity. Others believe that any account of circular reasoning must refer to the beliefs of those who reason. Whether or not the following argument about articles in this dictionary is circular depends on why the first premise should be accepted: (1) The article on inference contains no split infinitives. (2) The other articles contain no split infinitives. Therefore, (3) No article contains split infinitives. Consider two cases. Case I: Although (2) supports (1) inductively, both (1) and (2) have solid outside support independent of any prior acceptance of (3). This reasoning is not circular. Case II: Someone who advances the argument accepts (1) or (2) or both, only because he believes (3). Such reasoning is circular, even though neither premise expresses just the same proposition as the conclusion. The question remains controversial whether, in explaining circularity, we should refer to the beliefs of individual reasoners or only to the surrounding circumstances. One purpose of reasoning is to increase the degree of reasonable confidence that one has in the truth of a conclusion. Presuming the truth of a conclusion in support of a premise thwarts this purpose, because the initial degree of reasonable confidence in the premise cannot then exceed the initial degree of reasonable confidence in the conclusion.  INFORMAL FALLACY, JUSTIFICATION. D.H.S. citta-matra, the Yogacara Buddhist doctrine that there are no extramental entities, given classical expression by Vasubandhu in the fourth or fifth century A.D. The classical form of this doctrine is a variety of idealism that claims (1) that a coherent explanation of the facts of experience can be provided without appeal to anything extramental; (2) that no coherent account of what extramental entities are like is possible; and (3) that therefore the doctrine that there is nothing but mind is to be preferred to its realistic competitors. The claim and the argument were and are controversial among Buddhist metaphysicians.  VIJÑAPTI. P.J.G. civic humanism.CLASSICAL REPUBLICANISM. civil disobedience, a deliberate violation of the law, committed in order to draw attention to or circularity civil disobedience 144 4065A-  AM  144 rectify perceived injustices in the law or policies of a state. Illustrative questions raised by the topic include: how are such acts justified, how should the legal system respond to such acts when justified, and must such acts be done publicly, nonviolently, and/or with a willingness to accept attendant legal sanctions?  NONVIOLENCE, POLITICAL PHILOSOPHY. P.S. civil rights.RIGHTS. claim right.HOHFELD, RIGHTS. clairvoyance.PARAPSYCHOLOGY. Clarke, Samuel (1675–1729), English philosopher, preacher, and theologian. Born in Norwich, he was educated at Cambridge, where he came under the influence of Newton. Upon graduation Clarke entered the established church, serving for a time as chaplain to Queen Anne. He spent the last twenty years of his life as rector of St. James, Westminster. Clarke wrote extensively on controversial theological and philosophical issues – the nature of space and time, proofs of the existence of God, the doctrine of the Trinity, the incorporeality and natural immortality of the soul, freedom of the will, the nature of morality, etc. His most philosophical works are his Boyle lectures of 1704 and 1705, in which he developed a forceful version of the cosmological argument for the existence and nature of God and attacked the views of Hobbes, Spinoza, and some proponents of deism; his correspondence with Leibniz (1715–16), in which he defended Newton’s views of space and time and charged Leibniz with holding views inconsistent with free will; and his writings against Anthony Collins, in which he defended a libertarian view of the agent as the undetermined cause of free actions and attacked Collins’s arguments for a materialistic view of the mind. In these works Clarke maintains a position of extreme rationalism, contending that the existence and nature of God can be conclusively demonstrated, that the basic principles of morality are necessarily true and immediately knowable, and that the existence of a future state of rewards and punishments is assured by our knowledge that God will reward the morally just and punish the morally wicked.  HOBBES, LEIBNIZ, PHILOSOPHY OF RELIGION, SPINOZA. W.L.R. class, term sometimes used as a synonym for ‘set’. When the two are distinguished, a class is understood as a collection in the logical sense, i.e., as the extension of a concept (e.g. the class of red objects). By contrast, sets, i.e., collections in the mathematical sense, are understood as occurring in stages, where each stage consists of the sets that can be formed from the non-sets and the sets already formed at previous stages. When a set is formed at a given stage, only the non-sets and the previously formed sets are even candidates for membership, but absolutely anything can gain membership in a class simply by falling under the appropriate concept. Thus, it is classes, not sets, that figure in the inconsistent principle of unlimited comprehension. In set theory, proper classes are collections of sets that are never formed at any stage, e.g., the class of all sets (since new sets are formed at each stage, there is no stage at which all sets are available to be collected into a set).  SET THEORY. P.Mad. class, equivalence.PARTITION, RELATION. class, proper.CLASS. class, reference.PROBABILITY. classical conditioning.CONDITIONING. classical liberalism.LIBERALISM. classical republicanism, also known as civic humanism, a political outlook developed by Machiavelli in Renaissance Italy and by James Harrington (1611–77) in seventeenth-century England, modified by eighteenth-century British and Continental writers and important for the thought of the American founding fathers. Drawing on Roman historians, Machiavelli argued that a state could hope for security from the blows of fortune only if its (male) citizens were devoted to its well-being. They should take turns ruling and being ruled, be always prepared to fight for the republic, and limit their private possessions. Such men would possess a wholly secular virtù appropriate to political beings. Corruption, in the form of excessive attachment to private interest, would then be the most serious threat to the republic. Harrington’s utopian Oceana (1656) portrayed England governed under such a system. Opposing the authoritarian views of Hobbes, it described a system in which the well-to-do male citizens would elect some of their number to govern for limited terms. Those governing would propose state policies; the others would vote on the acceptability of the proposals. Agriculture was the basis of economics, civil rights classical republicanism 145 4065A-  AM  145 but the size of estates was to be strictly controlled. Harringtonianism helped form the views of the political party opposing the dominance of the king and court. Montesquieu in France drew on classical sources in discussing the importance of civic virtue and devotion to the republic. All these views were well known to Jefferson, Adams, and other American colonial and revolutionary thinkers; and some contemporary communitarian critics of American culture return to classical republican ideas.  MACHIAVELLI, POLITICAL PHILOSOPHY. J.B.S. class paradox.UNEXPECTED EXAMINATION PARADOX. Cleanthes.STOICISM. clear and distinct idea.DESCARTES. Clement of Alexandria (A.D. c.150–c.215), formative teacher in the early Christian church who, as a “Christian gnostic,” combined enthusiasm for Greek philosophy with a defense of the church’s faith. He espoused spiritual and intellectual ascent toward that complete but hidden knowledge or gnosis reserved for the truly enlightened. Clement’s school did not practice strict fidelity to the authorities, and possibly the teachings, of the institutional church, drawing upon the Hellenistic traditions of Alexandria, including Philo and Middle Platonism. As with the law among the Jews, so, for Clement, philosophy among the pagans was a pedagogical preparation for Christ, in whom logos, reason, had become enfleshed. Philosophers now should rise above their inferior understanding to the perfect knowledge revealed in Christ. Though hostile to gnosticism and its speculations, Clement was thoroughly Hellenized in outlook and sometimes guilty of Docetism, not least in his reluctance to concede the utter humanness of Jesus.  GNOSTICISM. A.E.L. Clifford, W(illiam) K(ingdon) (1845–79), British mathematician and philosopher. Educated at King’s College, London, and Trinity College, Cambridge, he began giving public lectures in 1868, when he was appointed a fellow of Trinity, and in 1870 became professor of applied mathematics at University College, London. His academic career ended prematurely when he died of tuberculosis. Clifford is best known for his rigorous view on the relation between belief and evidence, which, in “The Ethics of Belief,” he summarized thus: “It is wrong always, everywhere, and for anyone, to believe anything on insufficient evidence.” He gives this example. Imagine a shipowner who sends to sea an emigrant ship, although the evidence raises strong suspicions as to the vessel’s seaworthiness. Ignoring this evidence, he convinces himself that the ship’s condition is good enough and, after it sinks and all the passengers die, collects his insurance money without a trace of guilt. Clifford maintains that the owner had no right to believe in the soundness of the ship. “He had acquired his belief not by honestly earning it in patient investigation, but by stifling his doubts.” The right Clifford is alluding to is moral, for what one believes is not a private but a public affair and may have grave consequences for others. He regards us as morally obliged to investigate the evidence thoroughly on any occasion, and to withhold belief if evidential support is lacking. This obligation must be fulfilled however trivial and insignificant a belief may seem, for a violation of it may “leave its stamp upon our character forever.” Clifford thus rejected Catholicism, to which he had subscribed originally, and became an agnostic. James’s famous essay “The Will to Believe” criticizes Clifford’s view. According to James, insufficient evidence need not stand in the way of religious belief, for we have a right to hold beliefs that go beyond the evidence provided they serve the pursuit of a legitimate goal.  EPISTEMOLOGY, EVIDENTIALISM. M.St. closed formula.WELL-FORMED FORMULA. closed loop.CYBERNETICS. closed sentence.OPEN FORMULA. closure. A set of objects, O, is said to exhibit closure or to be closed under a given operation, R, provided that for every object, x, if x is a member of O and x is R-related to any object, y, then y is a member of O. For example, the set of propositions is closed under deduction, for if p is a proposition and p entails q, i.e., q is deducible from p, then q is a proposition (simply because only propositions can be entailed by propositions). In addition, many subsets of the set of propositions are also closed under deduction. For example, the set of true propositions is closed under deduction or entailment. Others are not. Under most accounts of belief, we may fail to believe what is entailed by what we do, in fact, believe. Thus, if knowledge is some form of class paradox closure 146 4065A-  AM  146 true, justified belief, knowledge is not closed under deduction, for we may fail to believe a proposition entailed by a known proposition. Nevertheless, there is a related issue that has been the subject of much debate, namely: Is the set of justified propositions closed under deduction? Aside from the obvious importance of the answer to that question in developing an account of justification, there are two important issues in epistemology that also depend on the answer. Subtleties aside, the so-called Gettier problem depends in large part upon an affirmative answer to that question. For, assuming that a proposition can be justified and false, it is possible to construct cases in which a proposition, say p, is justified, false, but believed. Now, consider a true proposition, q, which is believed and entailed by p. If justification is closed under deduction, then q is justified, true, and believed. But if the only basis for believing q is p, it is clear that q is not known. Thus, true, justified belief is not sufficient for knowledge. What response is appropriate to this problem has been a central issue in epistemology since E. Gettier’s publication of “Is Justified True Belief Knowledge?” (Analysis, 1963). Whether justification is closed under deduction is also crucial when evaluating a common, traditional argument for skepticism. Consider any person, S, and let p be any proposition ordinarily thought to be knowable, e.g., that there is a table before S. The argument for skepticism goes like this: (1) If p is justified for S, then, since p entails q, where q is ‘there is no evil genius making S falsely believe that p’, q is justified for S. (2) S is not justified in believing q. Therefore, S is not justified in believing p. The first premise depends upon justification being closed under deduction.  EPISTEMIC LOGIC, EPISTEMOLOGY, JUSTIFICATION, SKEPTICISM. P.D.K. closure, causal.DAVIDSON. Coase theorem, a non-formal insight by Ronald Coase (Nobel Prize in Economics, 1991): assuming that there are no (transaction) costs involved in exchanging rights for money, then no matter how rights are initially distributed, rational agents will buy and sell them so as to maximize individual returns. In jurisprudence this proposition has been the basis for a claim about how rights should be distributed even when (as is usual) transaction costs are high: the law should confer rights on those who would purchase them were they for sale on markets without transaction costs; e.g., the right to an indivisible, unsharable resource should be conferred on the agent willing to pay the highest price for it.  PHILOSOPHY OF ECONOMICS. A.R. Cockburn, Catherine (Trotter) (1679–1749), English philosopher and playwright who made a significant contribution to the debates on ethical rationalism sparked by Clarke’s Boyle lectures (1704–05). The major theme of her writings is the nature of moral obligation. Cockburn displays a consistent, non-doctrinaire philosophical position, arguing that moral duty is to be rationally deduced from the “nature and fitness of things” (Remarks, 1747) and is not founded primarily in externally imposed sanctions. Her writings, published anonymously, take the form of philosophical debates with others, including Samuel Rutherforth, William Warburton, Isaac Watts, Francis Hutcheson, and Lord Shaftesbury. Her best-known intervention in contemporary philosophical debate was her able defense of Locke’s Essay in 1702. S.H. coercion.FREE WILL PROBLEM. cogito argument.DESCARTES. Cogito ergo sum (Latin, ‘I think, therefore I am’), the starting point of Descartes’s system of knowledge. In his Discourse on the Method (1637), he observes that the proposition ‘I am thinking, therefore I exist’ (je pense, donc je suis) is “so firm and sure that the most extravagant suppositions of the skeptics were incapable of shaking it.” The celebrated phrase, in its better-known Latin version, also occurs in the Principles of Philosophy (1644), but is not to be found in the Meditations (1641), though the latter contains the fullest statement of the reasoning behind Descartes’s certainty of his own existence.  DESCARTES. J.C.O. cognitive architecture.COGNITIVE SCIENCE. cognitive dissonance, mental discomfort arising from conflicting beliefs or attitudes held simultaneously. Leon Festinger, who originated the theory of cognitive dissonance in a book of that title (1957), suggested that cognitive dissonance has motivational characteristics. Suppose a person is contemplating moving to a new city. She Coase theorem cognitive dissonance 147 4065A-  AM  147 is considering both Birmingham and Boston. She cannot move to both, so she must choose. Dissonance is experienced by the person if in choosing, say, Birmingham, she acquires knowledge of bad or unwelcome features of Birmingham and of good or welcome aspects of Boston. The amount of dissonance depends on the relative intensities of dissonant elements. Hence, if the only dissonant factor is her learning that Boston is cooler than Birmingham, and she does not regard climate as important, she will experience little dissonance. Dissonance may occur in several sorts of psychological states or processes, although the bulk of research in cognitive dissonance theory has been on dissonance in choice and on the justification and psychological aftereffects of choice. Cognitive dissonance may be involved in two phenomena of interest to philosophers, namely, self-deception and weakness of will. Why do self-deceivers try to get themselves to believe something that, in some sense, they know to be false? One may resort to self-deception when knowledge causes dissonance. Why do the weak-willed perform actions they know to be wrong? One may become weak-willed when dissonance arises from the expected consequences of doing the right thing. G.A.G. cognitive meaning.MEANING. cognitive psychology.COGNITIVE SCIENCE. cognitive psychotherapy, an expression introduced by Brandt in A Theory of the Good and the Right (1979) to refer to a process of assessing and adjusting one’s desires, aversions, or pleasures (henceforth, “attitudes”). This process is central to Brandt’s analysis of rationality, and ultimately, to his view on the justification of morality. Cognitive psychotherapy consists of the agent’s criticizing his attitudes by repeatedly representing to himself, in an ideally vivid way and at appropriate times, all relevant available information. Brandt characterizes the key definiens as follows: (1) available information is “propositions accepted by the science of the agent’s day, plus factual propositions justified by publicly accessible evidence (including testimony of others about themselves) and the principles of logic”; (2) information is relevant provided, if the agent were to reflect repeatedly on it, “it would make a difference,” i.e., would affect the attitude in question, and the effect would be a function of its content, not an accidental byproduct; (3) relevant information is represented in an ideally vivid way when the agent focuses on it with maximal clarity and detail and with no hesitation or doubt about its truth; and (4) repeatedly and at appropriate times refer, respectively, to the frequency and occasions that would result in the information’s having the maximal attitudinal impact. Suppose Mary’s desire to smoke were extinguished by her bringing to the focus of her attention, whenever she was about to inhale smoke, some justified beliefs, say that smoking is hazardous to one’s health and may cause lung cancer; Mary’s desire would have been removed by cognitive psychotherapy. According to Brandt, an attitude is rational for a person provided it is one that would survive, or be produced by, cognitive psychotherapy; otherwise it is irrational. Rational attitudes, in this sense, provide a basis for moral norms. Roughly, the correct moral norms are those of a moral code that persons would opt for if (i) they were motivated by attitudes that survive the process of cognitive psychotherapy; and (ii) at the time of opting for a moral code, they were fully aware of, and vividly attentive to, all available information relevant to choosing a moral code (for a society in which they are to live for the rest of their lives). In this way, Brandt seeks a value-free justification for moral norms – one that avoids the problems of other theories such as those that make an appeal to intuitions.  ETHICS, INSTRUMENTALISM, INTUITION, RATIONALITY. Y.Y. cognitive science, an interdisciplinary research cluster that seeks to account for intelligent activity, whether exhibited by living organisms (especially adult humans) or machines. Hence, cognitive psychology and artificial intelligence constitute its core. A number of other disciplines, including neuroscience, linguistics, anthropology, and philosophy, as well as other fields of psychology (e.g., developmental psychology), are more peripheral contributors. The quintessential cognitive scientist is someone who employs computer modeling techniques (developing computer programs for the purpose of simulating particular human cognitive activities), but the broad range of disciplines that are at least peripherally constitutive of cognitive science have lent a variety of research strategies to the enterprise. While there are a few common institutions that seek to unify cognitive science (e.g., departments, journals, and societies), the problems investigated and the methods of investigation often are limited to a single contributing discicognitive meaning cognitive science 148 4065A-  AM  148 pline. Thus, it is more appropriate to view cognitive science as a cross-disciplinary enterprise than as itself a new discipline. While interest in cognitive phenomena has historically played a central role in the various disciplines contributing to cognitive science, the term properly applies to cross-disciplinary activities that emerged in the 1970s. During the preceding two decades each of the disciplines that became part of cogntive science gradually broke free of positivistic and behavioristic proscriptions that barred systematic inquiry into the operation of the mind. One of the primary factors that catalyzed new investigations of cognitive activities was Chomsky’s generative grammar, which he advanced not only as an abstract theory of the structure of language, but also as an account of language users’ mental knowledge of language (their linguistic competence). A more fundamental factor was the development of approaches for theorizing about information in an abstract manner, and the introduction of machines (computers) that could manipulate information. This gave rise to the idea that one might program a computer to process information so as to exhibit behavior that would, if performed by a human, require intelligence. If one tried to formulate a unifying question guiding cognitive science research, it would probably be: How does the cognitive system work? But even this common question is interpreted quite differently in different disciplines. We can appreciate these differences by looking just at language. While psycholinguists (generally psychologists) seek to identify the processing activities in the mind that underlie language use, most linguists focus on the products of this internal processing, seeking to articulate the abstract structure of language. A frequent goal of computer scientists, in contrast, has been to develop computer programs to parse natural language input and produce appropriate syntactic and semantic representations. These differences in objectives among the cognitive science disciplines correlate with different methodologies. The following represent some of the major methodological approaches of the contributing disciplines and some of the problems each encounters. Artificial intelligence. If the human cognition system is viewed as computational, a natural goal is to simulate its performance. This typically requires formats for representing information as well as procedures for searching and manipulating it. Some of the earliest AIprograms drew heavily on the resources of first-order predicate calculus, representing information in propositional formats and manipulating it according to logical principles. For many modeling endeavors, however, it proved important to represent information in larger-scale structures, such as frames (Marvin Minsky), schemata (David Rumelhart), or scripts (Roger Schank), in which different pieces of information associated with an object or activity would be stored together. Such structures generally employed default values for specific slots (specifying, e.g., that deer live in forests) that would be part of the representation unless overridden by new information (e.g., that a particular deer lives in the San Diego Zoo). A very influential alternative approach, developed by Allen Newell, replaces declarative representations of information with procedural representations, known as productions. These productions take the form of conditionals that specify actions to be performed (e.g., copying an expression into working memory) if certain conditions are satisfied (e.g., the expression matches another expression). Psychology. While some psychologists develop computer simulations, a more characteristic activity is to acquire detailed data from human subjects that can reveal the cognitive system’s actual operation. This is a challenging endeavor. While cognitive activities transpire within us, they frequently do so in such a smooth and rapid fashion that we are unaware of them. For example, we have little awareness of what occurs when we recognize an object as a chair or remember the name of a client. Some cognitive functions, though, seem to be transparent to consciousness. For example, we might approach a logic problem systematically, enumerating possible solutions and evaluating them serially. Allen Newell and Herbert Simon have refined methods for exploiting verbal protocols obtained from subjects as they solve such problems. These methods have been quite fruitful, but their limitations must be respected. In many cases in which we think we know how we performed a cognitive task, Richard Nisbett and Timothy Wilson have argued that we are misled, relying on folk theories to describe how our minds work rather than reporting directly on their operation. In most cases cognitive psychologists cannot rely on conscious awareness of cognitive processes, but must proceed as do physiologists trying to understand metabolism: they must devise experiments that reveal the underlying processes operative in cognition. One approach is to seek clues in the errors to which the cognitive system cognitive science cognitive science 149 4065A-  AM  149 is prone. Such errors might be more easily accounted for by one kind of underlying process than by another. Speech errors, such as substituting ‘bat cad’ for ‘bad cat’, may be diagnostic of the mechanisms used to construct speech. This approach is often combined with strategies that seek to overload or disrupt the system’s normal operation. A common technique is to have a subject perform two tasks at once – e.g., read a passage while watching for a colored spot. Cognitive psychologists may also rely on the ability to dissociate two phenomena (e.g., obliterate one while maintaining the other) to establish their independence. Other types of data widely used to make inferences about the cognitive system include patterns of reaction times, error rates, and priming effects (in which activation of one item facilitates access to related items). Finally, developmental psychologists have brought a variety of kinds of data to bear on cognitive science issues. For example, patterns of acquisition times have been used in a manner similar to reaction time patterns, and accounts of the origin and development of systems constrain and elucidate mature systems. Linguistics. Since linguists focus on a product of cognition rather than the processes that produce the product, they tend to test their analyses directly against our shared knowledge of that product. Generative linguists in the tradition of Chomsky, for instance, develop grammars that they test by probing whether they generate the sentences of the language and no others. While grammars are certainly germane to developing processing models, they do not directly determine the structure of processing models. Hence, the central task of linguistics is not central to cognitive science. However, Chomsky has augmented his work on grammatical description with a number of controversial claims that are psycholinguistic in nature (e.g., his nativism and his notion of linguistic competence). Further, an alternative approach to incorporating psycholinguistic concerns, the cognitive linguistics of Lakoff and Langacker, has achieved prominence as a contributor to cognitive science. Neuroscience. Cognitive scientists have generally assumed that the processes they study are carried out, in humans, by the brain. Until recently, however, neuroscience has been relatively peripheral to cognitive science. In part this is because neuroscientists have been chiefly concerned with the implementation of processes, rather than the processes themselves, and in part because the techniques available to neuroscientists (such as single-cell recording) have been most suitable for studying the neural implementation of lower-order processes such as sensation. A prominent exception was the classical studies of brain lesions initiated by Broca and Wernicke, which seemed to show that the location of lesions correlated with deficits in production versus comprehension of speech. (More recent data suggest that lesions in Broca’s area impair certain kinds of syntactic processing.) However, other developments in neuroscience promise to make its data more relevant to cognitive modeling in the future. These include studies of simple nervous systems, such as that of the aplysia (a genus of marine mollusk) by Eric Kandel, and the development of a variety of techniques for determining the brain activities involved in the performance of cognitive tasks (e.g., recording of evoked response potentials over larger brain structures, and imaging techniques such as positron emission tomography). While in the future neuroscience is likely to offer much richer information that will guide the development and constrain the character of cognitive models, neuroscience will probably not become central to cognitive science. It is itself a rich, multidisciplinary research cluster whose contributing disciplines employ a host of complicated research tools. Moreover, the focus of cognitive science can be expected to remain on cognition, not on its implementation. So far cognitive science has been characterized in terms of its modes of inquiry. One can also focus on the domains of cognitive phenomena that have been explored. Language represents one such domain. Syntax was one of the first domains to attract wide attention in cognitive science. For example, shortly after Chomsky introduced his transformational grammar, psychologists such as George Miller sought evidence that transformations figured directly in human language processing. From this beginning, a more complex but enduring relationship among linguists, psychologists, and computer scientists has formed a leading edge for much cognitive science research. Psycholinguistics has matured; sophisticated computer models of natural language processing have been developed; and cognitive linguists have offered a particular synthesis that emphasizes semantics, pragmatics, and cognitive foundations of language. Thinking and reasoning. These constitute an important domain of cognitive science that is closely linked to philosophical interests. Problem cognitive science cognitive science 150 4065A-  AM  150 solving, such as that which figures in solving puzzles, playing games, or serving as an expert in a domain, has provided a prototype for thinking. Newell and Simon’s influential work construed problem solving as a search through a problem space and introduced the idea of heuristics – generally reliable but fallible simplifying devices to facilitate the search. One arena for problem solving, scientific reasoning and discovery, has particularly interested philosophers. Artificial intelligence researchers such as Simon and Patrick Langley, as well as philosophers such as Paul Thagard and Lindley Darden, have developed computer programs that can utilize the same data as that available to historical scientists to develop and evaluate theories and plan future experiments. Cognitive scientists have also sought to study the cognitive processes underlying the sorts of logical reasoning (both deductive and inductive) whose normative dimensions have been a concern of philosophers. Philip JohnsonLaird, for example, has sought to account for human performance in dealing with syllogistic reasoning by describing a processing of constructing and manipulating mental models. Finally, the process of constructing and using analogies is another aspect of reasoning that has been extensively studied by traditional philosophers as well as cognitive scientists. Memory, attention, and learning. Cognitive scientists have differentiated a variety of types of memory. The distinction between long- and short-term memory was very influential in the information-processing models of the 1970s. Short-term memory was characterized by limited capacity, such as that exhibited by the ability to retain a seven-digit telephone number for a short period. In much cognitive science work, the notion of working memory has superseded short-term memory, but many theorists are reluctant to construe this as a separate memory system (as opposed to a part of long-term memory that is activated at a given time). Endel Tulving introduced a distinction between semantic memory (general knowledge that is not specific to a time or place) and episodic memory (memory for particular episodes or occurrences). More recently, Daniel Schacter proposed a related distinction that emphasizes consciousness: implicit memory (access without awareness) versus explicit memory (which does involve awareness and is similar to episodic memory). One of the interesting results of cognitive research is the dissociation between different kinds of memory: a person might have severely impaired memory of recent events while having largely unimpaired implicit memory. More generally, memory research has shown that human memory does not simply store away information as in a file cabinet. Rather, information is organized according to preexisting structures such as scripts, and can be influenced by events subsequent to the initial storage. Exactly what gets stored and retrieved is partly determined by attention, and psychologists in the information-processing tradition have sought to construct general cognitive models that emphasize memory and attention. Finally, the topic of learning has once again become prominent. Extensively studied by the behaviorists of the precognitive era, learning was superseded by memory and attention as a research focus in the 1970s. In the 1980s, artificial intelligence researchers developed a growing interest in designing systems that can learn; machine learning is now a major problem area in AI. During the same period, connectionism arose to offer an alternative kind of learning model. Perception and motor control. Perceptual and motor systems provide the inputs and outputs to cognitive systems. An important aspect of perception is the recognition of something as a particular kind of object or event; this requires accessing knowledge of objects and events. One of the central issues concerning perception questions the extent to which perceptual processes are influenced by higher-level cognitive information (top-down processing) versus how much they are driven purely by incoming sensory information (bottom-up processing). A related issue concerns the claim that visual imagery is a distinct cognitive process and is closely related to visual perception, perhaps relying on the same brain processes. A number of cognitive science inquiries (e.g., by Roger Shepard and Stephen Kosslyn) have focused on how people use images in problem solving and have sought evidence that people solve problems by rotating images or scanning them. This research has been extremely controversial, as other investigators have argued against the use of images and have tried to account for the performance data that have been generated in terms of the use of propositionally represented information. Finally, a distinction recently has been proposed between the What and Where systems. All of the foregoing issues concern the What system (which recognizes and represents objects as exemplars of categories). The Where system, in contrast, concerns objects in their environment, and is particcognitive science cognitive science 151 4065A-  AM  151 ularly adapted to the dynamics of movement. Gibson’s ecological psychology is a long-standing inquiry into this aspect of perception, and work on the neural substrates is now attracting the interest of cognitive scientists as well. Recent developments. The breadth of cognitive science has been expanding in recent years. In the 1970s, cognitive science inquiries tended to focus on processing activities of adult humans or on computer models of intelligent performance; the best work often combined these approaches. Subsequently, investigators examined in much greater detail how cognitive systems develop, and developmental psychologists have increasingly contributed to cognitive science. One of the surprising findings has been that, contrary to the claims of William James, infants do not seem to confront the world as a “blooming, buzzing confusion,” but rather recognize objects and events quite early in life. Cognitive science has also expanded along a different dimension. Until recently many cognitive studies focused on what humans could accomplish in laboratory settings in which they performed tasks isolated from reallife contexts. The motivation for this was the assumption that cognitive processes were generic and not limited to specific contexts. However, a variety of influences, including Gibsonian ecological psychology (especially as interpreted and developed by Ulric Neisser) and Soviet activity theory, have advanced the view that cognition is much more dynamic and situated in real-world tasks and environmental contexts; hence, it is necessary to study cognitive activities in an ecologically valid manner. Another form of expansion has resulted from a challenge to what has been the dominant architecture for modeling cognition. An architecture defines the basic processing capacities of the cognitive system. The dominant cognitive architecture has assumed that the mind possesses a capacity for storing and manipulating symbols. These symbols can be composed into larger structures according to syntactic rules that can then be operated upon by formal rules that recognize that structure. Jerry Fodor has referred to this view of the cognitive system as the “language of thought hypothesis” and clearly construes it as a modern heir of rationalism. One of the basic arguments for it, due to Fodor and Zenon Pylyshyn, is that thoughts, like language, exhibit productivity (the unlimited capacity to generate new thoughts) and systematicity (exhibited by the inherent relation between thoughts such as ‘Joan loves the florist’ and ‘The florist loves Joan’). They argue that only if the architecture of cognition has languagelike compositional structure would productivity and systematicity be generic properties and hence not require special case-by-case accounts. The challenge to this architecture has arisen with the development of an alternative architecture, known as connectionism, parallel distributed processing, or neural network modeling, which proposes that the cognitive system consists of vast numbers of neuronlike units that excite or inhibit each other. Knowledge is stored in these systems by the adjustment of connection strengths between processing units; consequently, connectionism is a modern descendant of associationism. Connectionist networks provide a natural account of certain cognitive phenomena that have proven challenging for the symbolic architecture, including pattern recognition, reasoning with soft constraints, and learning. Whether they also can account for productivity and systematicity has been the subject of debate. Philosophical theorizing about the mind has often provided a starting point for the modeling and empirical investigations of modern cognitive science. The ascent of cognitive science has not meant that philosophers have ceased to play a role in examining cognition. Indeed, a number of philosophers have pursued their inquiries as contributors to cognitive science, focusing on such issues as the possible reduction of cognitive theories to those of neuroscience, the status of folk psychology relative to emerging scientific theories of mind, the merits of rationalism versus empiricism, and strategies for accounting for the intentionality of mental states. The interaction between philosophers and other cognitive scientists, however, is bidirectional, and a number of developments in cognitive science promise to challenge or modify traditional philosophical views of cognition. For example, studies by cognitive and social psychologists have challenged the assumption that human thinking tends to accord with the norms of logic and decision theory. On a variety of tasks humans seem to follow procedures (heuristics) that violate normative canons, raising questions about how philosophers should characterize rationality. Another area of empirical study that has challenged philosophical assumptions has been the study of concepts and categorization. Philosophers since Plato have widely assumed that concepts of ordinary language, such as red, bird, and justice, should be definable by necessary and sufficient conditions. But celebrated studies by cognitive science cognitive science 152 4065A-  AM  152 Eleanor Rosch and her colleagues indicated that many ordinary-language concepts had a prototype structure instead. On this view, the categories employed in human thinking are characterized by prototypes (the clearest exemplars) and a metric that grades exemplars according to their degree of typicality. Recent investigations have also pointed to significant instability in conceptual structure and to the role of theoretical beliefs in organizing categories. This alternative conception of concepts has profound implications for philosophical methodologies that portray philosophy’s task to be the analysis of concepts.  ARTIFICIAL INTELLIGENCE, INTENTIONALITY, PHILOSOPHY OF LANGUAGE, PHILOSOPHY OF MIND. W.B. cognitive value.FREGE. Cohen, Hermann (1842–1918), German Jewish philosopher who originated and led, with Paul Natorp (1854–1924), the Marburg School of neo-Kantianism. He taught at Marburg from 1876 to 1912. Cohen wrote commentaries on Kant’s Critiques prior to publishing System der Philosophie (1902–12), which consisted of parts on logic, ethics, and aesthetics. He developed a Kantian idealism of the natural sciences, arguing that a transcendental analysis of these sciences shows that “pure thought” (his system of Kantian a priori principles) “constructs” their “reality.” He also developed Kant’s ethics as a democratic socialist ethics. He ended his career at a rabbinical seminary in Berlin, writing his influential Religion der Vernunft aus den Quellen des Judentums (“Religion of Reason out of the Sources of Judaism,” 1919), which explicated Judaism on the basis of his own Kantian ethical idealism. Cohen’s ethical-political views were adopted by Kurt Eisner (1867–1919), leader of the Munich revolution of 1918, and also had an impact on the revisionism (of orthodox Marxism) of the German Social Democratic Party, while his philosophical writings greatly influenced Cassirer.  CASSIRER, KANT, NEOKANTIANISM. H.v.d.L. coherence theory of justification.COHERENTISM. coherence theory of knowledge.COHERENTISM. coherence theory of truth, the view that either the nature of truth or the sole criterion for determining truth is constituted by a relation of coherence between the belief (or judgment) being assessed and other beliefs (or judgments). As a view of the nature of truth, the coherence theory represents an alternative to the correspondence theory of truth. Whereas the correspondence theory holds that a belief is true provided it corresponds to independent reality, the coherence theory holds that it is true provided it stands in a suitably strong relation of coherence to other beliefs, so that the believer’s total system of beliefs forms a highly or perhaps perfectly coherent system. Since, on such a characterization, truth depends entirely on the internal relations within the system of beliefs, such a conception of truth seems to lead at once to idealism as regards the nature of reality, and its main advocates have been proponents of absolute idealism (mainly Bradley, Bosanquet, and Brand Blanshard). A less explicitly metaphysical version of the coherence theory was also held by certain members of the school of logical positivism (mainly Otto Neurath and Carl Hempel). The nature of the intended relation of coherence, often characterized metaphorically in terms of the beliefs in question fitting together or dovetailing with each other, has been and continues to be a matter of uncertainty and controversy. Despite occasional misconceptions to the contrary, it is clear that coherence is intended to be a substantially more demanding relation than mere consistency, involving such things as inferential and explanatory relations within the system of beliefs. Perfect or ideal coherence is sometimes described as requiring that every belief in the system of beliefs entails all the others (though it must be remembered that those offering such a characterization do not restrict entailments to those that are formal or analytic in character). Since actual human systems of belief seem inevitably to fall short of perfect coherence, however that is understood, their truth is usually held to be only approximate at best, thus leading to the absolute idealist view that truth admits of degrees. As a view of the criterion of truth, the coherence theory of truth holds that the sole criterion or standard for determining whether a belief is true is its coherence with other beliefs or judgments, with the degree of justification varying with the degree of coherence. Such a view amounts to a coherence theory of epistemic justification. It was held by most of the proponents of the coherence theory of the nature of truth, though usually without distinguishing the two views very clearly. For philosophers who hold both of these cognitive value coherence theory of truth 153 4065A-  AM  153 views, the thesis that coherence is the sole criterion of truth is usually logically prior, and the coherence theory of the nature of truth is adopted as a consequence, the clearest argument being that only the view that perfect or ideal coherence is the nature of truth can make sense of the appeal to degrees of coherence as a criterion of truth.  COHERENTISM, IDEALISM, TRUTH. L.B. coherentism, in epistemology, a theory of the structure of knowledge or justified beliefs according to which all beliefs representing knowledge are known or justified in virtue of their relations to other beliefs, specifically, in virtue of belonging to a coherent system of beliefs. Assuming that the orthodox account of knowledge is correct at least in maintaining that justified true belief is necessary for knowledge, we can identify two kinds of coherence theories of knowledge: those that are coherentist merely in virtue of incorporating a coherence theory of justification, and those that are doubly coherentist because they account for both justification and truth in terms of coherence. What follows will focus on coherence theories of justification. Historically, coherentism is the most significant alternative to foundationalism. The latter holds that some beliefs, basic or foundational beliefs, are justified apart from their relations to other beliefs, while all other beliefs derive their justification from that of foundational beliefs. Foundationalism portrays justification as having a structure like that of a building, with certain beliefs serving as the foundations and all other beliefs supported by them. Coherentism rejects this image and pictures justification as having the structure of a raft. Justified beliefs, like the planks that make up a raft, mutually support one another. This picture of the coherence theory is due to the positivist Otto Neurath. Among the positivists, Hempel shared Neurath’s sympathy for coherentism. Other defenders of coherentism from the late nineteenth and early twentieth centuries were idealists, e.g., Bradley, Bosanquet, and Brand Blanshard. (Idealists often held the sort of double coherence theory mentioned above.) The contrast between foundationalism and coherentism is commonly developed in terms of the regress argument. If we are asked what justifies one of our beliefs, we characteristically answer by citing some other belief that supports it, e.g., logically or probabilistically. If we are asked about this second belief, we are likely to cite a third belief, and so on. There are three shapes such an evidential chain might have: it could go on forever, if could eventually end in some belief, or it could loop back upon itself, i.e., eventually contain again a belief that had occurred “higher up” on the chain. Assuming that infinite chains are not really possible, we are left with a choice between chains that end and circular chains. According to foundationalists, evidential chains must eventually end with a foundational belief that is justified, if the belief at the beginning of the chain is to be justified. Coherentists are then portrayed as holding that circular chains can yield justified beliefs. This portrayal is, in a way, correct. But it is also misleading since it suggests that the disagreement between coherentism and foundationalism is best understood as concerning only the structure of evidential chains. Talk of evidential chains in which beliefs that are further down on the chain are responsible for beliefs that are higher up naturally suggests the idea that just as real chains transfer forces, evidential chains transfer justification. Foundationalism then sounds like a real possibility. Foundational beliefs already have justification, and evidential chains serve to pass the justification along to other beliefs. But coherentism seems to be a nonstarter, for if no belief in the chain is justified to begin with, there is nothing to pass along. Altering the metaphor, we might say that coherentism seems about as likely to succeed as a bucket brigade that does not end at a well, but simply moves around in a circle. The coherentist seeks to dispel this appearance by pointing out that the primary function of evidential chains is not to transfer epistemic status, such as justification, from belief to belief. Indeed, beliefs are not the primary locus of justification. Rather, it is whole systems of belief that are justified or not in the primary sense; individual beliefs are justified in virtue of their membership in an appropriately structured system of beliefs. Accordingly, what the coherentist claims is that the appropriate sorts of evidential chains, which will be circular – indeed, will likely contain numerous circles – constitute justified systems of belief. The individual beliefs within such a system are themselves justified in virtue of their place in the entire system and not because this status is passed on to them from beliefs further down some evidential chain in which they figure. One can, therefore, view coherentism with considerable accuracy as a version of foundationalism that holds all beliefs to be foundational. From this perspective, the difference between coherentism and traditional foundationalism has to do with coherentism coherentism 154 4065A-  AM  154 what accounts for the epistemic status of foundational beliefs, with traditional foundationalism holding that such beliefs can be justified in various ways, e.g., by perception or reason, while coherentism insists that the only way such beliefs can be justified is by being a member of an appropriately structured system of beliefs. One outstanding problem the coherentist faces is to specify exactly what constitutes a coherent system of beliefs. Coherence clearly must involve much more than mere absence of mutually contradictory beliefs. One way in which beliefs can be logically consistent is by concerning completely unrelated matters, but such a consistent system of beliefs would not embody the sort of mutual support that constitutes the core idea of coherentism. Moreover, one might question whether logical consistency is even necessary for coherence, e.g., on the basis of the preface paradox. Similar points can be made regarding efforts to begin an account of coherence with the idea that beliefs and degrees of belief must correspond to the probability calculus. So although it is difficult to avoid thinking that such formal features as logical and probabilistic consistency are significantly involved in coherence, it is not clear exactly how they are involved. An account of coherence can be drawn more directly from the following intuitive idea: a coherent system of belief is one in which each belief is epistemically supported by the others, where various types of epistemic support are recognized, e.g., deductive or inductive arguments, or inferences to the best explanation. There are, however, at least two problems this suggestion does not address. First, since very small sets of beliefs can be mutually supporting, the coherentist needs to say something about the scope a system of beliefs must have to exhibit the sort of coherence required for justification. Second, given the possibility of small sets of mutually supportive beliefs, it is apparently possible to build a system of very broad scope out of such small sets of mutually supportive beliefs by mere conjunction, i.e., without forging any significant support relations among them. Yet, since the interrelatedness of all truths does not seem discoverable by analyzing the concept of justification, the coherentist cannot rule out epistemically isolated subsystems of belief entirely. So the coherentist must say what sorts of isolated subsystems of belief are compatible with coherence. The difficulties involved in specifying a more precise concept of coherence should not be pressed too vigorously against the coherentist. For one thing, most foundationalists have been forced to grant coherence a significant role within their accounts of justification, so no dialectical advantage can be gained by pressing them. Moreover, only a little reflection is needed to see that nearly all the difficulties involved in specifying coherence are manifestations within a specific context of quite general philosophical problems concerning such matters as induction, explanation, theory choice, the nature of epistemic support, etc. They are, then, problems that are faced by logicians, philosophers of science, and epistemologists quite generally, regardless of whether they are sympathetic to coherentism. Coherentism faces a number of serious objections. Since according to coherentism justification is determined solely by the relations among beliefs, it does not seem to be capable of taking us outside the circle of our beliefs. This fact gives rise to complaints that coherentism cannot allow for any input from external reality, e.g., via perception, and that it can neither guarantee nor even claim that it is likely that coherent systems of belief will make contact with such reality or contain true beliefs. And while it is widely granted that justified false beliefs are possible, it is just as widely accepted that there is an important connection between justification and truth, a connection that rules out accounts according to which justification is not truth-conducive. These abstractly formulated complaints can be made more vivid, in the case of the former, by imagining a person with a coherent system of beliefs that becomes frozen, and fails to change in the face of ongoing sensory experience; and in the case of the latter, by pointing out that, barring an unexpected account of coherence, it seems that a wide variety of coherent systems of belief are possible, systems that are largely disjoint or even incompatible.  COHERENCE THEORY OF TRUTH, EPISTEMOLOGY, FOUNDATIONALISM, JUSTIFICATION. M.R.D. Coimbra commentaries.FONSECA. collective unconscious.JUNG. collectivity.DISTRIBUTION. Collier, Arthur (1680–1732), English philosopher, a Wiltshire parish priest whose Clavis Universalis (1713) defends a version of immaterialism closely akin to Berkeley’s. Matter, Collier contends, “exists in, or in dependence on mind.” He emphatically affirms the existence of bodies, and, like Berkeley, defends immaterialCoimbra commentaries Collier, Arthur 155 4065A-  AM  155 ism as the only alternative to skepticism. Collier grants that bodies seem to be external, but their “quasi-externeity” is only the effect of God’s will. In Part I of the Clavis Collier argues (as Berkeley had in his New Theory of Vision, 1709) that the visible world is not external. In Part II he argues (as Berkeley had in the Principles, 1710, and Three Dialogues, 1713) that the external world “is a being utterly impossible.” Two of Collier’s arguments for the “intrinsic repugnancy” of the external world resemble Kant’s first and second antinomies. Collier argues, e.g., that the material world is both finite and infinite; the contradiction can be avoided, he suggests, only by denying its external existence. Some scholars suspect that Collier deliberately concealed his debt to Berkeley; most accept his report that he arrived at his views ten years before he published them. Collier first refers to Berkeley in letters written in 1714–15. In A Specimen of True Philosophy (1730), where he offers an immaterialist interpretation of the opening verse of Genesis, Collier writes that “except a single passage or two” in Berkeley’s Dialogues, there is no other book “which I ever heard of” on the same subject as the Clavis. This is a puzzling remark on several counts, one being that in the Preface to the Dialogues, Berkeley describes his earlier books. Collier’s biographer reports seeing among his papers (now lost) an outline, dated 1708, on “the question of the visible world being without us or not,” but he says no more about it. The biographer concludes that Collier’s independence cannot reasonably be doubted; perhaps the outline would, if unearthed, establish this.  BERKELEY. K.P.W. colligation.WHEWELL. Collingwood, R(obin) G(eorge) (1889–1943), English philosopher and historian. His father, W. G. Collingwood, John Ruskin’s friend, secretary, and biographer, at first educated him at home in Coniston and later sent him to Rugby School and then Oxford. Immediately upon graduating in 1912, he was elected to a fellowship at Pembroke College; except for service with admiralty intelligence during World War I, he remained at Oxford until 1941, when illness compelled him to retire. Although his Autobiography expresses strong disapproval of the lines on which, during his lifetime, philosophy at Oxford developed, he was a university “insider.” In 1934 he was elected to the Waynflete Professorship, the first to become vacant after he had done enough work to be a serious candidate. He was also a leading archaeologist of Roman Britain. Although as a student Collingwood was deeply influenced by the “realist” teaching of John Cook Wilson, he studied not only the British idealists, but also Hegel and the contemporary Italian post-Hegelians. At twenty-three, he published a translation of Croce’s book on Vico’s philosophy. Religion and Philosophy (1916), the first of his attempts to present orthodox Christianity as philosophically acceptable, has both idealist and Cook Wilsonian elements. Thereafter the Cook Wilsonian element steadily diminished. In Speculum Mentis(1924), he investigated the nature and ultimate unity of the four special ‘forms of experience’ – art, religion, natural science, and history – and their relation to a fifth comprehensive form – philosophy. While all four, he contended, are necessary to a full human life now, each is a form of error that is corrected by its less erroneous successor. Philosophy is error-free but has no content of its own: “The truth is not some perfect system of philosophy: it is simply the way in which all systems, however perfect, collapse into nothingness on the discovery that they are only systems.” Some critics dismissed this enterprise as idealist (a description Collingwood accepted when he wrote), but even those who favored it were disturbed by the apparent skepticism of its result. A year later, he amplified his views about art in Outlines of a Philosophy of Art. Since much of what Collingwood went on to write about philosophy has never been published, and some of it has been negligently destroyed, his thought after Speculum Mentis is hard to trace. It will not be definitively established until the more than 3,000 s of his surviving unpublished manuscripts (deposited in the Bodleian Library in 1978) have been thoroughly studied. They were not available to the scholars who published studies of his philosophy as a whole up to 1990. Three trends in how his philosophy developed, however, are discernible. The first is that as he continued to investigate the four special forms of experience, he came to consider each valid in its own right, and not a form of error. As early as 1928, he abandoned the conception of the historical past in Speculum Mentis as simply a spectacle, alien to the historian’s mind; he now proposed a theory of it as thoughts explaining past actions that, although occurring in the past, can be rethought in the present. Not only can the identical thought “enacted” at a definite time in the past be “reenacted” any number of times after, but it can be known to be so reenacted if colligation Collingwood, R(obin) G(eorge) 156 4065A-  AM  156 physical evidence survives that can be shown to be incompatible with other proposed reenactments. In 1933–34 he wrote a series of lectures (posthumously published as The Idea of Nature) in which he renounced his skepticism about whether the quantitative material world can be known, and inquired why the three constructive periods he recognized in European scientific thought, the Greek, the Renaissance, and the modern, could each advance our knowledge of it as they did. Finally, in 1937, returning to the philosophy of art and taking full account of Croce’s later work, he showed that imagination expresses emotion and becomes false when it counterfeits emotion that is not felt; thus he transformed his earlier theory of art as purely imaginative. His later theories of art and of history remain alive; and his theory of nature, although corrected by research since his death, was an advance when published. The second trend was that his conception of philosophy changed as his treatment of the special forms of experience became less skeptical. In his beautifully written Essay on Philosophical Method (1933), he argued that philosophy has an object – the ens realissimum as the one, the true, and the good – of which the objects of the special forms of experience are appearances; but that implies what he had ceased to believe, that the special forms of experience are forms of error. In his Principles of Art (1938) and New Leviathan (1942) he denounced the idealist principle of Speculum Mentis that to abstract is to falsify. Then, in his Essay on Metaphysics (1940), he denied that metaphysics is the science of being qua being, and identified it with the investigation of the “absolute presuppositions” of the special forms of experience at definite historical periods. A third trend, which came to dominate his thought as World War II approached, was to see serious philosophy as practical, and so as having political implications. He had been, like Ruskin, a radical Tory, opposed less to liberal or even some socialist measures than to the bourgeois ethos from which they sprang. Recognizing European fascism as the barbarism it was, and detesting anti-Semitism, he advocated an antifascist foreign policy and intervention in the Spanish civil war in support of the republic. His last major publication, The New Leviathan, impressively defends what he called civilization against what he called barbarism; and although it was neglected by political theorists after the war was won, the collapse of Communism and the rise of Islamic states are winning it new readers.  CROCE, HEGEL, IDEALISM, PHILOSOPHY OF HISTORY, WILSON. A.D. color realism.QUALITIES. combinatory logic, a branch of formal logic that deals with formal systems designed for the study of certain basic operations for constructing and manipulating functions as rules, i.e. as rules of calculation expressed by definitions. The notion of a function was fundamental in the development of modern formal (or mathematical) logic that was initiated by Frege, Peano, Russell, Hilbert, and others. Frege was the first to introduce a generalization of the mathematical notion of a function to include propositional functions, and he used the general notion for formally representing logical notions such as those of a concept, object, relation, generality, and judgment. Frege’s proposal to replace the traditional logical notions of subject and predicate by argument and function, and thus to conceive predication as functional application, marks a turning point in the history of formal logic. In most modern logical systems, the notation used to express functions, including propositional functions, is essentially that used in ordinary mathematics. As in ordinary mathematics, certain basic notions are taken for granted, such as the use of variables to indicate processes of substitution. Like the original systems for modern formal logic, the systems of combinatory logic were designed to give a foundation for mathematics. But combinatory logic arose as an effort to carry the foundational aims further and deeper. It undertook an analysis of notions taken for granted in the original systems, in particular of the notions of substitution and of the use of variables. In this respect combinatory logic was conceived by one of its founders, H. B. Curry, to be concerned with the ultimate foundations and with notions that constitute a “prelogic.” It was hoped that an analysis of this prelogic would disclose the true source of the difficulties connected with the logical paradoxes. The operation of applying a function to one of its arguments, called application, is a primitive operation in all systems of combinatory logic. If f is a function and x a possible argument, then the result of the application operation is denoted (fx). In mathematics this is usually written f(x), but the notation (fx) is more convenient in combinatory logic. The German logician M. Schönfinkel, who started combinatory logic in 1924, observed that it is not necessary to introduce color realism combinatory logic 157 4065A-  AM  157 functions of more than one variable, provided that the idea of a function is enlarged so that functions can be arguments as well as values of other functions. A function F(x,y) is represented with the function f, which when applied to the argument x has, as a value, the function (fx), which, when applied to y, yields F(x,y), i.e. ((fx)y) % F(x,y). It is therefore convenient to omit parentheses with association to the left so that fx1 . . . xn is used for (( . . . (fx1 . . .) xn). Schönfinkel’s main result was to show how to make the class of functions studied closed under explicit definition by introducing two specific primitive functions, the combinators S and K, with the rules Kxy % x, and Sxyz % xz(yz). (To illustrate the effect of S in ordinary mathematical notation, let f and g be functions of two and one arguments, respectively; then Sfg is the function such that Sfgx % f(x,g(x)).) Generally, if a(x1, . . . ,xn) is an expression built up from constants and the variables shown by means of the application operation, then there is a function F constructed out of constants (including the combinators S and K), such that Fx1 . . . xn % a(x1, . . . , xn). This is essentially the meaning of the combinatory completeness of the theory of combinators in the terminology of H. B. Curry and R. Feys, Combinatory Logic (1958); and H. B. Curry, J. R. Hindley, and J. P. Seldin, Combinatory Logic, vol. II (1972). The system of combinatory logic with S and K as the only primitive functions is the simplest equation calculus that is essentially undecidable. It is a type-free theory that allows the formation of the term ff, i.e. self-application, which has given rise to problems of interpretation. There are also type theories based on combinatory logic. The systems obtained by extending the theory of combinators with functions representing more familiar logical notions such as negation, implication, and generality, or by adding a device for expressing inclusion in logical categories, are studied in illative combinatory logic. The theory of combinators exists in another, equivalent form, namely as the type-free l-calculus created by Church in 1932. Like the theory of combinators, it was designed as a formalism for representing functions as rules of calculation, and it was originally part of a more general system of functions intended as a foundation for mathematics. The l-calculus has application as a primitive operation, but instead of building up new functions from some primitive ones by application, new functions are here obtained by functional abstraction. If a(x) is an expression built up by means of application from constants and the variable x, then a(x) is considered to define a function denoted lx.a (x), whose value for the argument b is a(b), i.e. (lx.a (x))b % a(b). The function lx.a(x) is obtained from a(x) by functional abstraction. The property of combinatory completeness or closure under explicit definition is postulated in the form of functional abstraction. The combinators can be defined using functional abstraction (i.e., K % lx.ly.x and S % lx.ly.lz.xz(yz)), and conversely, in the theory of combinators, functional abstraction can be defined. A detailed presentation of the l-calculus is found in H. Barendregt, The Lambda Calculus, Its Syntax and Semantics (1981). It is possible to represent the series of natural numbers by a sequence of closed terms in the lcalculus. Certain expressions in the l-calculus will then represent functions on the natural numbers, and these l-definable functions are exactly the general recursive functions or the Turing computable functions. The equivalence of l-definability and general recursiveness was one of the arguments used by Church for what is known as Church’s thesis, i.e., the identification of the effectively computable functions and the recursive functions. The first problem about recursive undecidability was expressed by Church as a problem about expressions in the l calculus. The l-calculus thus played a historically important role in the original development of recursion theory. Due to the emphasis in combinatory logic on the computational aspect of functions, it is natural that its method has been found useful in proof theory and in the development of systems of constructive mathematics. For the same reason it has found several applications in computer science in the construction and analysis of programming languages. The techniques of combinatory logic have also been applied in theoretical linguistics, e.g. in so-called Montague grammar. In recent decades combinatory logic, like other domains of mathematical logic, has developed into a specialized branch of mathematics, in which the original philosophical and foundational aims and motives are of little and often no importance. One reason for this is the discovery of the new technical applications, which were not intended originally, and which have turned the interest toward several new mathematical problems. Thus, the original motives are often felt to be less urgent and only of historical significance. Another reason for the decline of the original philosophical and foundational aims may be a growing awareness in the philosophy of mathematics of the limitations of formal and mathematical methods as tools for conceptual combinatory logic combinatory logic 158 4065A-  AM  158 clarification, as tools for reaching “ultimate foundations.”  CHURCH’S THESIS, COMPUTABILITY, PROOF THEORY, RECURSIVE FUNCTION THEORY. S.St. command theory of law.PHILOSOPHY OF LAW. commentaries on Aristotle, the term commonly used for the Greek commentaries on Aristotle that take up about 15,000 s in the Berlin Commentaria in Aristotelem Graeca (1882–1909), still the basic edition of them. Only in the 1980s did a project begin, under the editorship of Richard Sorabji, of King’s College, London, to translate at least the most significant portions of them into English. They had remained the largest corpus of Greek philosophy not translated into any modern language. Most of these works, especially the later, Neoplatonic ones, are much more than simple commentaries on Aristotle. They are also a mode of doing philosophy, the favored one at this stage of intellectual history. They are therefore important not only for the understanding of Aristotle, but also for both the study of the pre-Socratics and the Hellenistic philosophers, particularly the Stoics, of whom they preserve many fragments, and lastly for the study of Neoplatonism itself – and, in the case of John Philoponus, for studying the innovations he introduces in the process of trying to reconcile Platonism with Christianity. The commentaries may be divided into three main groups. (1) The first group of commentaries are those by Peripatetic scholars of the second to fourth centuries A.D., most notably Alexander of Aphrodisias (fl. c.200), but also the paraphraser Themistius (fl. c.360). We must not omit, however, to note Alexander’s predecessor Aspasius, author of the earliest surviving commentary, one on the Nicomachean Ethics – a work not commented on again until the late Byzantine period. Commentaries by Alexander survive on the Prior Analytics, Topics, Metaphysics I–V, On the Senses, and Meteorologics, and his now lost ones on the Categories, On the Soul, and Physics had enormous influence in later times, particularly on Simplicius. (2) By far the largest group is that of the Neoplatonists up to the sixth century A.D. Most important of the earlier commentators is Porphyry (232–c.309), of whom only a short commentary on the Categories survives, together with an introduction (Isagoge) to Aristotle’s logical works, which provoked many commentaries itself, and proved most influential in both the East and (through Boethius) in the Latin West. The reconciling of Plato and Aristotle is largely his work. His big commentary on the Categories was of great importance in later times, and many fragments are preserved in that of Simplicius. His follower Iamblichus was also influential, but his commentaries are likewise lost. The Athenian School of Syrianus (c.375–437) and Proclus (410–85) also commented on Aristotle, but all that survives is a commentary of Syrianus on Books III, IV, XIII, and XIV of the Metaphysics. It is the early sixth century, however, that produces the bulk of our surviving commentaries, originating from the Alexandrian school of Ammonius, son of Hermeias (c.435–520), but composed both in Alexandria, by the Christian John Philoponus (c.490–575), and in (or at least from) Athens by Simplicius (writing after 532). Main commentaries of Philoponus are on Categories, Prior Analytics, Posterior Analytics, On Generation and Corruption, On the Soul I–II, and Physics; of Simplicius on Categories, Physics, On the Heavens, and (perhaps) On the Soul. The tradition is carried on in Alexandria by Olympiodorus (c.495–565) and the Christians Elias (fl. c.540) and David (an Armenian, nicknamed the Invincible, fl. c.575), and finally by Stephanus, who was brought by the emperor to take the chair of philosophy in Constantinople in about 610. These scholars comment chiefly on the Categories and other introductory material, but Olympiodorus produced a commentary on the Meteorologics. Characteristic of the Neoplatonists is a desire to reconcile Aristotle with Platonism (arguing, e.g., that Aristotle was not dismissing the Platonic theory of Forms), and to systematize his thought, thus reconciling him with himself. They are responding to a long tradition of criticism, during which difficulties were raised about incoherences and contradictions in Aristotle’s thought, and they are concerned to solve these, drawing on their comprehensive knowledge of his writings. Only Philoponus, as a Christian, dares to criticize him, in particular on the eternity of the world, but also on the concept of infinity (on which he produces an ingenious argument, picked up, via the Arabs, by Bonaventure in the thirteenth century). The Categories proves a particularly fruitful battleground, and much of the later debate between realism and nominalism stems from arguments about the proper subject matter of that work. The format of these commentaries is mostly that adopted by scholars ever since, that of taking command theory of law commentaries on Aristotle 159 4065A-  AM  159 one passage, or lemma, after another of the source work and discussing it from every angle, but there are variations. Sometimes the general subject matter is discussed first, and then details of the text are examined; alternatively, the lemma is taken in subdivisions without any such distinction. The commentary can also proceed explicitly by answering problems, or aporiai, which have been raised by previous authorities. Some commentaries, such as the short one of Porphyry on the Categories, and that of Iamblichus’s pupil Dexippus on the same work, have a “catechetical” form, proceeding by question and answer. In some cases (as with Wittgenstein in modern times) the commentaries are simply transcriptions by pupils of the lectures of a teacher. This is the case, for example, with the surviving “commentaries” of Ammonius. One may also indulge in simple paraphrase, as does Themistius on Posterior Analysis, Physics, On the Soul, and On the Heavens, but even here a good deal of interpretation is involved, and his works remain interesting. An important offshoot of all this activity in the Latin West is the figure of Boethius (c.480–524). It is he who first transmitted a knowledge of Aristotelian logic to the West, to become an integral part of medieval Scholasticism. He translated Porphyry’s Isagoge, and the whole of Aristotle’s logical works. He wrote a double commentary on the Isagoge, and commentaries on the Categories and On Interpretation. He is dependent ultimately on Porphyry, but more immediately, it would seem, on a source in the school of Proclus. (3) The third major group of commentaries dates from the late Byzantine period, and seems mainly to emanate from a circle of scholars grouped around the princess Anna Comnena in the twelfth century. The most important figures here are Eustratius (c.1050–1120) and Michael of Ephesus (originally dated c.1040, but now fixed at c.1130). Michael in particular seems concerned to comment on areas of Aristotle’s works that had hitherto escaped commentary. He therefore comments widely, for example, on the biological works, but also on the Sophistical Refutations. He and Eustratius, and perhaps others, seem to have cooperated also on a composite commentary on the Nicomachean Ethics, neglected since Aspasius. There is also evidence of lost commentaries on the Politics and the Rhetoric. The composite commentary on the Ethics was translated into Latin in the next century, in England, by Robert Grosseteste, but earlier than this translations of the various logical commentaries had been made by James of Venice (fl. c.1130), who may have even made the acquaintance of Michael of Ephesus in Constantinople. Later in that century other commentaries were being translated from Arabic versions by Gerard of Cremona (d.1187). The influence of the Greek commentary tradition in the West thus resumed after the long break since Boethius in the sixth century, but only now, it seems fair to say, is the full significance of this enormous body of work becoming properly appreciated.  ARISTOTLE, BOETHIUS, NEOPLATONISM, PORPHYRY. J.M.D. commentaries on Plato, a term designating the works in the tradition of commentary (hypomnema) on Plato that may go back to the Old Academy (Crantor is attested by Proclus to have been the first to have “commented” on the Timaeus). More probably, the tradition arises in the first century B.C. in Alexandria, where we find Eudorus commenting, again, on the Timaeus, but possibly also (if the scholars who attribute to him the Anonymous Theaetetus Commentary are correct) on the Theaetetus. It seems also as if the Stoic Posidonius composed a commentary of some sort on the Timaeus. The commentary form (such as we can observe in the biblical commentaries of Philo of Alexandria) owes much to the Stoic tradition of commentary on Homer, as practiced by the second-century B.C. School of Pergamum. It was normal to select (usually consecutive) portions of text (lemmata) for general, and then detailed, comment, raising and answering “problems” (aporiai), refuting one’s predecessors, and dealing with points of both doctrine and philology. By the second century A.D. the tradition of Platonic commentary was firmly established. We have evidence of commentaries by the Middle Platonists Gaius, Albinus, Atticus, Numenius, and Cronius, mainly on the Timaeus, but also on at least parts of the Republic, as well as a work by Atticus’s pupil Herpocration of Argos, in twentyfour books, on Plato’s work as a whole. These works are all lost, but in the surviving works of Plutarch we find exegesis of parts of Plato’s works, such as the creation of the soul in the Timaeus (35a–36d). The Latin commentary of Calcidius (fourth century A.D.) is also basically Middle Platonic. In the Neoplatonic period (after Plotinus, who did not indulge in formal commentary, though many of his essays are in fact informal commentaries), we have evidence of much more comprehensive exegetic activity. Porphyry initiated the tradition with commentaries on the Phaedo, commentaries on Plato commentaries on Plato 160 4065A-  AM  160 Cratylus, Sophist, Philebus, Parmenides (of which the surviving anonymous fragment of commentary is probably a part), and the Timaeus. He also commented on the myth of Er in the Republic. It seems to have been Porphyry who is responsible for introducing the allegorical interpretation of the introductory portions of the dialogues, though it was only his follower Iamblichus (who also commented on all the above dialogues, as well as the Alcibiades and the Phaedrus) who introduced the principle that each dialogue should have only one central theme, or skopos. The tradition was carried on in the Athenian School by Syrianus and his pupils Hermeias (on the Phaedrus – surviving) and Proclus (Alcibiades, Cratylus, Timaeus, Parmenides – all surviving, at least in part), and continued in later times by Damascius (Phaedo, Philebus, Parmenides) and Olympiodorus (Alcibiades, Phaedo, Gorgias – also surviving, though sometimes only in the form of pupils’ notes). These commentaries are not now to be valued primarily as expositions of Plato’s thought (though they do contain useful insights, and much valuable information); they are best regarded as original philosophical treatises presented in the mode of commentary, as is so much of later Greek philosophy, where it is not originality but rather faithfulness to an inspired master and a great tradition that is being striven for.  MIDDLE PLATONISM, NEOPLATONISM, PLATO. J.M.D. commission.ACTION THEORY. commissive.SPEECH ACT THEORY. common-consent arguments for the existence of God.MARTINEAU. common effects.CAUSATION. common good, a normative standard in Thomistic and Neo-Thomistic ethics for evaluating the justice of social, legal, and political arrangements, referring to those arrangements that promote the full flourishing of everyone in the community. Every good can be regarded as both a goal to be sought and, when achieved, a source of human fulfillment. A common good is any good sought by and/or enjoyed by two or more persons (as friendship is a good common to the friends); the common good is the good of a “perfect” (i.e., complete and politically organized) human community – a good that is the common goal of all who promote the justice of that community, as well as the common source of fulfillment of all who share in those just arrangements. ‘Common’ is an analogical term referring to kinds and degrees of sharing ranging from mere similarity to a deep ontological communion. Thus, any good that is a genuine perfection of our common human nature is a common good, as opposed to merely idiosyncratic or illusory goods. But goods are common in a deeper sense when the degree of sharing is more than merely coincidental: two children engaged in parallel play enjoy a good in common, but they realize a common good more fully by engaging each other in one game; similarly, if each in a group watches the same good movie alone at home, they have enjoyed a good in common but they realize this good at a deeper level when they watch the movie together in a theater and discuss it afterward. In short, common good includes aggregates of private, individual goods but transcends these aggregates by the unique fulfillment afforded by mutuality, shared activity, and communion of persons. As to the sources in Thomistic ethics for this emphasis on what is deeply shared over what merely coincides, the first is Aristotle’s understanding of us as social and political animals: many aspects of human perfection, on this view, can be achieved only through shared activities in communities, especially the political community. The second is Christian Trinitarian theology, in which the single Godhead involves the mysterious communion of three divine “persons,” the very exemplar of a common good; human personhood, by analogy, is similarly perfected only in a relationship of social communion. The achievement of such intimately shared goods requires very complex and delicate arrangements of coordination to prevent the exploitation and injustice that plague shared endeavors. The establishment and maintenance of these social, legal, and political arrangements is “the” common good of a political society, because the enjoyment of all goods is so dependent upon the quality and the justice of those arrangements. The common good of the political community includes, but is not limited to, public goods: goods characterized by non-rivalry and non-excludability and which, therefore, must generally be provided by public institutions. By the principle of subsidiarity, the common good is best promoted by, in addition to the state, many lower-level non-public societies, associations, and individuals. Thus, religiously affiliated schools educating non-religious minority chilcommission common good 161 4065A-  AM  161 dren might promote the common good without being public goods.  AQUINAS, JUSTICE, POLITICAL PHILOSOPHY, SOCIAL PHILOSOPHY, SUBSIDIARITY. J.B.M. common notions.STOICISM. common sense philosophy.SCOTTISH COMMON SENSE PHILOSOPHY. common sensibles.ARISTOTLE, SENSUS COMMUNIS. common sensism.SCOTTISH COMMON SENSE PHILOSOPHY. communication theory.INFORMATION THEORY. communism.POLITICAL PHILOSOPHY. communitarianism.POLITICAL PHILOSOPHY. commutative justice.JUSTICE. compactness.DEDUCTION. compactness theorem, a theorem for first-order logic: if every finite subset of a given infinite theory T is consistent, then the whole theory is consistent. The result is an immediate consequence of the completeness theorem, for if the theory were not consistent, a contradiction, say ‘P and not-P’, would be provable from it. But the proof, being a finitary object, would use only finitely many axioms from T, so this finite subset of T would be inconsistent. This proof of the compactness theorem is very general, showing that any language that has a sound and complete system of inference, where each rule allows only finitely many premises, satisfies the theorem. This is important because the theorem immediately implies that many familiar mathematical notions are not expressible in the language in question, notions like those of a finite set or a well-ordering relation. The compactness theorem is important for other reasons as well. It is the most frequently applied result in the study of first-order model theory and has inspired interesting developments within set theory and its foundations by generating a search for infinitary languages that obey some analog of the theorem.  INFINITARY LOGIC. J.Ba. compatibilism.FREE WILL PROBLEM. competence, linguistic.PHILOSOPHY OF LANGUAGE. complement.RELATION. complementarity.PHILOSOPHY OF SCIENCE, QUANTUM MECHANICS. complementary class, the class of all things not in a given class. For example, if C is the class of all red things, then its complementary class is the class containing everything that is not red. This latter class includes even non-colored things, like numbers and the class C itself. Often, the context will determine a less inclusive complementary class. If B 0 A, then the complement of B with respect to A is A – B. For example, if A is the class of physical objects, and B is the class of red physical objects, then the complement of B with respect to A is the class of non-red physical objects.  SET THEORY. P.Mad. complementary term.CONTRAPOSITION. complementation.NEGATION. complete negation.NECESSITY, PHILOSOPHY OF MIND. completeness, a property that something – typically, a set of axioms, a logic, a theory, a set of well-formed formulas, a language, or a set of connectives – has when it is strong enough in some desirable respect. (1) A set of axioms is complete for the logic L if every theorem of L is provable using those axioms. (2) A logic L has weak semantical completeness if every valid sentence of the language of L is a theorem of L. L has strong semantical completeness (or is deductively complete) if for every set G of sentences, every logical consequence of G is deducible from G using L. A propositional logic L is Halldén-complete if whenever A 7 B is a theorem of L, where A and B share no variables, either A or B is a theorem of L. And L is Post-complete if L is consistent but no stronger logic for the same language is consistent. Reference to the “completeness” of a logic, without further qualification, is almost invariably to either weak or strong semantical completeness. One curious exception: second-order logic is often said to be “incomplete,” where what is meant is that it is not axiomatizable. (3) A theory T is negation-complete (often simply complete) if for every sentence A of the lancommon notions completeness 162 4065A-  AM  162 guage of T, either A or its negation is provable in T. And T is omega-complete if whenever it is provable in T that a property f / holds of each natural number 0, 1, . . . , it is also provable that every number has f. (Generalizing on this, any set G of well-formed formulas might be called omega complete if (v)A[v] is deducible from G whenever A[t] is deducible from G for all terms t, where A[t] is the result of replacing all free occurrences of v in A[v] by t.) (4) A language L is expressively complete if each of a given class of items is expressible in L. Usually, the class in question is the class of (twovalued) truth-functions. The propositional language whose sole connectives are - and 7 is thus said to be expressively (or functionally) complete, while that built up using 7 alone is not, since classical negation is not expressible therein. Here one might also say that the set {-,7} is expressively (or functionally) complete, while {7} is not.  GÖDEL’S INCOMPLETENESS THEOREMS, SECOND-ORDER LOGIC, SHEFFER STROKE. G.F.S. completeness, combinatory.COMBINATORY LOGIC. completeness theorem.SATISFIABLE. complete symbol.SYNCATEGOREMATA. complexe significabile (plural: complexe significabilia), also called complexum significabile, in medieval philosophy, what is signified only by a complexum (a statement or declarative sentence), by a that-clause, or by a dictum (an accusative ! infinitive construction, as in: ‘I want him to go’). It is analogous to the modern proposition. The doctrine seems to have originated with Adam de Wodeham in the early fourteenth century, but is usually associated with Gregory of Rimini slightly later. Complexe significabilia do not fall under any of the Aristotelian categories, and so do not “exist” in the ordinary way. Still, they are somehow real. For before creation nothing existed except God, but even then God knew that the world was going to exist. The object of this knowledge cannot have been God himself (since God is necessary, but the world’s existence is contingent), and yet did not “exist” before creation. Nevertheless, it was real enough to be an object of knowledge. Some authors who maintained such a view held that these entities were not only signifiable in a complex way by a statement, but were themselves complex in their inner structure; the term ‘complexum significabile’ is unique to their theories. The theory of complexe significabilia was vehemently criticized by late medieval nominalists.  ABSTRACT ENTITY, PROPOSITION. P.V.S. complexum significabile.COMPLEXE SIGNIFICABILE. composition, fallacy of.INFORMAL FALLACY. compositional intention.LEWIS, DAVID. compositionality.COGNITIVE SCIENCE, PHILOSOPHY OF LANGUAGE. compossible, capable of existing or occurring together. E.g., two individuals are compossible provided the existence of one of them is compatible with the existence of the other. In terms of possible worlds, things are compossible provided there is some possible world to which all of them belong; otherwise they are incompossible. Not all possibilities are compossible. E.g., the extinction of life on earth by the year 3000 is possible; so is its continuation until the year 10,000; but since it is impossible that both of these things should happen, they are not compossible. Leibniz held that any non-actualized possibility must be incompossible with what is actual.  PRINCIPLE OF PLENITUDE. P.Mac. comprehension, as applied to a term, the set of attributes implied by a term. The comprehension of ‘square’, e.g., includes being four-sided, having equal sides, and being a plane figure, among other attributes. The comprehension of a term is contrasted with its extension, which is the set of individuals to which the term applies. The distinction between the extension and the comprehension of a term was introduced in the Port-Royal Logic by Arnauld and Pierre Nicole in 1662. Current practice is to use the expression ‘intension’ rather than ‘comprehension’. Both expressions, however, are inherently somewhat vague.  AXIOM OF COMPREHENSION. V.K. comprehension, axiom of.AXIOM OF COMPREHENSION. comprehension, principle of.SET THEORY. comprehension schema.SET-THEORETIC PARADOXES. completeness, combinatory comprehension schema 163 4065A-  AM  163 compresence, an unanalyzable relation in terms of which Russell, in his later writings (especially in Human Knowledge: Its Scope and Limits, 1948), took concrete particular objects to be analyzable. Concrete particular objects are analyzable in terms of complexes of qualities all of whose members are compresent. Although this relation can be defined only ostensively, Russell states that it appears in psychology as “simultaneity in one experience” and in physics as “overlapping in space-time.” Complete complexes of compresence are complexes of qualities having the following two properties: (1) all members of the complex are compresent; (2) given anything not a member of the complex, there is at least one member of the complex with which it is not compresent. He argues that there is strong empirical evidence that no two complete complexes have all their qualities in common. Finally, space-time pointinstants are analyzed as complete complexes of compresence. Concrete particulars, on the other hand, are analyzed as series of incomplete complexes of compresence related by certain causal laws.  BUNDLE THEORY, RUSSELL. A.C. computability, roughly, the possibility of computation on a Turing machine. The first convincing general definition, A. N. Turing’s (1936), has been proved equivalent to the known plausible alternatives, so that the concept of computability is generally recognized as an absolute one. Turing’s definition referred to computations by imaginary tape-processing machines that we now know to be capable of computing the same functions (whether simple sums and products or highly complex, esoteric functions) that modern digital computing machines could compute if provided with sufficient storage capacity. In the form ‘Any function that is computable at all is computable on a Turing machine’, this absoluteness claim is called Turing’s thesis. A comparable claim for Alonzo Church’s (1935) concept of lcomputability is called Church’s thesis. Similar theses are enunciated for Markov algorithms, for S. C. Kleene’s notion of general recursiveness, etc. It has been proved that the same functions are computable in all of these ways. There is no hope of proving any of those theses, for such a proof would require a definition of ‘computable’ – a definition that would simply be a further item in the list, the subject of a further thesis. But since computations of new kinds might be recognizable as genuine in particular cases, Turing’s thesis and its equivalents, if false, might be decisively refuted by discovery of a particular function, a way of computing it, and a proof that no Turing machine can compute it. The halting problem for (say) Turing machines is the problem of devising a Turing machine that computes the function h(m, n) % 1 or 0 depending on whether or not Turing machine number m ever halts, once started with the number n on its tape. This problem is unsolvable, for a machine that computed h could be modified to compute a function g(n), which is undefined (the machine goes into an endless loop) when h(n, n) % 1, and otherwise agrees with h(n, n). But this modified machine – Turing machine number k, say – would have contradictory properties: started with k on its tape, it would eventually halt if and only if it does not. Turing proved unsolvability of the decision problem for logic (the problem of devising a Turing machine that, applied to argument number n in logical notation, correctly classifies it as valid or invalid) by reducing the halting problem to the decision problem, i.e., showing how any solution to the latter could be used to solve the former problem, which we know to be unsolvable.  CHURCH’S THESIS, COMPUTER THEORY, TURING MACHINE. R.J. computability, algorithmic.ALGORITHM. computable.EFFECTIVE PROCEDURE. computational.COMPUTER THEORY. computational theories of mind.COGNITIVE SCIENCE. computer modeling.COMPUTER THEORY. computer program.COMPUTER THEORY. computer theory, the theory of the design, uses, powers, and limits of modern electronic digital computers. It has important bearings on philosophy, as may be seen from the many philosophical references herein. Modern computers are a radically new kind of machine, for they are active physical realizations of formal languages of logic and arithmetic. Computers employ sophisticated languages, and they have reasoning powers many orders of magnitude greater than those of any prior machines. Because they are far superior to humans in many important tasks, they have produced a revolution in society that is as profound as the industrial revolution and is advancing compresence computer theory 164 4065A-  AM  164 much more rapidly. Furthermore, computers themselves are evolving rapidly. When a computer is augmented with devices for sensing and acting, it becomes a powerful control system, or a robot. To understand the implications of computers for philosophy, one should imagine a robot that has basic goals and volitions built into it, including conflicting goals and competing desires. This concept first appeared in Karel C v apek’s play Rossum’s Universal Robots (1920), where the word ‘robot’ originated. A computer has two aspects, hardware and programming languages. The theory of each is relevant to philosophy. The software and hardware aspects of a computer are somewhat analogous to the human mind and body. This analogy is especially strong if we follow Peirce and consider all information processing in nature and in human organisms, not just the conscious use of language. Evolution has produced a succession of levels of sign usage and information processing: self-copying chemicals, self-reproducing cells, genetic programs directing the production of organic forms, chemical and neuronal signals in organisms, unconscious human information processing, ordinary languages, and technical languages. But each level evolved gradually from its predecessors, so that the line between body and mind is vague. The hardware of a computer is typically organized into three general blocks: memory, processor (arithmetic unit and control), and various inputoutput devices for communication between machine and environment. The memory stores the data to be processed as well as the program that directs the processing. The processor has an arithmetic-logic unit for transforming data, and a control for executing the program. Memory, processor, and input-output communicate to each other through a fast switching system. The memory and processor are constructed from registers, adders, switches, cables, and various other building blocks. These in turn are composed of electronic components: transistors, resistors, and wires. The input and output devices employ mechanical and electromechanical technologies as well as electronics. Some input-output devices also serve as auxiliary memories; floppy disks and magnetic tapes are examples. For theoretical purposes it is useful to imagine that the computer has an indefinitely expandable storage tape. So imagined, a computer is a physical realization of a Turing machine. The idea of an indefinitely expandable memory is similar to the logician’s concept of an axiomatic formal language that has an unlimited number of proofs and theorems. The software of a modern electronic computer is written in a hierarchy of programming languages. The higher-level languages are designed for use by human programmers, operators, and maintenance personnel. The “machine language” is the basic hardware language, interpreted and executed by the control. Its words are sequences of binary digits or bits. Programs written in intermediate-level languages are used by the computer to translate the languages employed by human users into the machine language for execution. A programming language has instructional means for carrying out three kinds of operations: data operations and transfers, transfers of control from one part of the program to the other, and program self-modification. Von Neumann designed the first modern programming language. A programming language is general purpose, and an electronic computer that executes it can in principle carry out any algorithm or effective procedure, including the simulation of any other computer. Thus the modern electronic computer is a practical realization of the abstract concept of a universal Turing machine. What can actually be computed in practice depends, of course, on the state of computer technology and its resources. It is common for computers at many different spatial locations to be interconnected into complex networks by telephone, radio, and satellite communication systems. Insofar as users in one part of the network can control other parts, either legitimately or illegitimately (e.g., by means of a “computer virus”), a global network of computers is really a global computer. Such vast computers greatly increase societal interdependence, a fact of importance for social philosophy. The theory of computers has two branches, corresponding to the hardware and software aspects of computers. The fundamental concept of hardware theory is that of a finite automaton, which may be expressed either as an idealized logical network of simple computer primitives, or as the corresponding temporal system of input, output, and internal states. A finite automaton may be specified as a logical net of truth-functional switches and simple memory elements, connected to one another by computer theory computer theory 165 4065A-  AM  165 idealized wires. These elements function synchronously, each wire being in a binary state (0 or 1) at each moment of time t % 0, 1, 2, . . . . Each switching element (or “gate”) executes a simple truth-functional operation (not, or, and, nor, not-and, etc.) and is imagined to operate instantaneously (compare the notions of sentential connective and truth table). A memory element (flip-flop, binary counter, unit delay line) preserves its input bit for one or more time-steps. A well-formed net of switches and memory elements may not have cycles through switches only, but it typically has feedback cycles through memory elements. The wires of a logical net are of three kinds: input, internal, and output. Correspondingly, at each moment of time a logical net has an input state, an internal state, and an output state. A logical net or automaton need not have any input wires, in which case it is a closed system. The complete history of a logical net is described by a deterministic law: at each moment of time t, the input and internal states of the net determine its output state and its next internal state. This leads to the second definition of ‘finite automaton’: it is a deterministic finite-state system characterized by two tables. The transition table gives the next internal state produced by each pair of input and internal states. The output table gives the output state produced by each input state and internal state. The state analysis approach to computer hardware is of practical value only for systems with a few elements (e.g., a binary-coded decimal counter), because the number of states increases as a power of the number of elements. Such a rapid rate of increase of complexity with size is called the combinatorial explosion, and it applies to many discrete systems. However, the state approach to finite automata does yield abstract models of law-governed systems that are of interest to logic and philosophy. A correctly operating digital computer is a finite automaton. Alan Turing defined the finite part of what we now call a Turing machine in terms of states. It seems doubtful that a human organism has more computing power than a finite automaton. A closed finite automaton illustrates Nietzsche’s law of eternal return. Since a finite automaton has a finite number of internal states, at least one of its internal states must occur infinitely many times in any infinite state history. And since a closed finite automaton is deterministic and has no inputs, a repeated state must be followed by the same sequence of states each time it occurs. Hence the history of a closed finite automaton is periodic, as in the law of eternal return. Idealized neurons are sometimes used as the primitive elements of logical nets, and it is plausible that for any brain and central nervous system there is a logical network that behaves the same and performs the same functions. This shows the close relation of finite automata to the brain and central nervous system. The switches and memory elements of a finite automaton may be made probabilistic, yielding a probabilistic automaton. These automata are models of indeterministic systems. Von Neumann showed how to extend deterministic logical nets to systems that contain selfreproducing automata. This is a very basic logical design relevant to the nature of life. The part of computer programming theory most relevant to philosophy contains the answer to Leibniz’s conjecture concerning his characteristica universalis and calculus ratiocinator. He held that “all our reasoning is nothing but the joining and substitution of characters, whether these characters be words or symbols or pictures.” He thought therefore that one could construct a universal, arithmetic language with two properties of great philosophical importance. First, every atomic concept would be represented by a prime number. Second, the truth-value of any logically true-or-false statement expressed in the characteristica universalis could be calculated arithmetically, and so any rational dispute could be resolved by calculation. Leibniz expected to do the computation by hand with the help of a calculating machine; today we would do it on an electronic computer. However, we know now that Leibniz’s proposed language cannot exist, for no computer (or computer program) can calculate the truth-value of every logically true-orfalse statement given to it. This fact follows from a logical theorem about the limits of what computer programs can do. Let E be a modern electronic computer with an indefinitely expandable memory, so that E has the power of a universal Turing machine. And let L be any formal language in which every arithmetic statement can be expressed, and which is consistent. Leibniz’s proposed characteristica universalis would be such a language. Now a computer that is operating correctly is an active formal language, carrying out the instructions of its program deductively. Accordingly, Gödel’s incompleteness theorems for formal arithmetic apply to computer E. It follows from these theorems that no program can enable computer E to decide of an arbitrary statecomputer theory computer theory 166 4065A-  AM  166 ment of L whether or not that statement is true. More strongly, there cannot even be a program that will enable E to enumerate the truths of language L one after another. Therefore Leibniz’s characteristica universalis cannot exist. Electronic computers are the first active or “live” mathematical systems. They are the latest addition to a long historical series of mathematical tools for inquiry: geometry, algebra, calculus and differential equations, probability and statistics, and modern mathematics. The most effective use of computer programs is to instruct computers in tasks for which they are superior to humans. Computers are being designed and programmed to cooperate with humans so that the calculation, storage, and judgment capabilities of the two are synthesized. The powers of such human–computer combines will increase at an exponential rate as computers continue to become faster, more powerful, and easier to use, while at the same time becoming smaller and cheaper. The social implications of this are very important. The modern electronic computer is a new tool for the logic of discovery (Peirce’s abduction). An inquirer (or inquirers) operating a computer interactively can use it as a universal simulator, dynamically modeling systems that are too complex to study by traditional mathematical methods, including non-linear systems. Simulation is used to explain known empirical results, and also to develop new hypotheses to be tested by observation. Computer models and simulations are unique in several ways: complexity, dynamism, controllability, and visual presentability. These properties make them important new tools for modeling and thereby relevant to some important philosophical problems. A human–computer combine is especially suited for the study of complex holistic and hierarchical systems with feedback (cf. cybernetics), including adaptive goal-directed systems. A hierarchical-feedback system is a dynamic structure organized into several levels, with the compounds of one level being the atoms or building blocks of the next higher level, and with cyclic paths of influence operating both on and between levels. For example, a complex human institution has several levels, and the people in it are themselves hierarchical organizations of selfcopying chemicals, cells, organs, and such systems as the pulmonary and the central nervous system. The behaviors of these systems are in general much more complex than, e.g., the behaviors of traditional systems of mechanics. Contrast an organism, society, or ecology with our planetary system as characterized by Kepler and Newton. Simple formulas (ellipses) describe the orbits of the planets. More basically, the planetary system is stable in the sense that a small perturbation of it produces a relatively small variation in its subsequent history. In contrast, a small change in the state of a holistic hierarchical feedback system often amplifies into a very large difference in behavior, a concern of chaos theory. For this reason it is helpful to model such systems on a computer and run sample histories. The operator searches for representative cases, interesting phenomena, and general principles of operation. The human–computer method of inquiry should be a useful tool for the study of biological evolution, the actual historical development of complex adaptive goal-directed systems. Evolution is a logical and communication process as well as a physical and chemical process. But evolution is statistical rather than deterministic, because a single temporal state of the system results in a probabilistic distribution of histories, rather than in a single history. The genetic operators of mutation and crossover, e.g., are probabilistic operators. But though it is stochastic, evolution cannot be understood in terms of limiting relative frequencies, for the important developments are the repeated emergence of new phenomena, and there may be no evolutionary convergence toward a final state or limit. Rather, to understand evolution the investigator must simulate the statistical spectra of histories covering critical stages of the process. Many important evolutionary phenomena should be studied by using simulation along with observation and experiment. Evolution has produced a succession of levels of organization: selfcopying chemicals, self-reproducing cells, communities of cells, simple organisms, haploid sexual reproduction, diploid sexuality with genetic dominance and recessiveness, organisms composed of organs, societies of organisms, humans, and societies of humans. Most of these systems are complex hierarchical feedback systems, and it is of interest to understand how they emerged from earlier systems. Also, the interaction of competition and cooperation at all stages of evolution is an important subject, of relevance to social philosophy and ethics. Some basic epistemological and metaphysical concepts enter into computer modeling. A model is a well-developed concept of its object, representing characteristics like structure and funccomputer theory computer theory 167 4065A-  AM  167 tion. A model is similar to its object in important respects, but simpler; in mathematical terminology, a model is homomorphic to its object but not isomorphic to it. However, it is often useful to think of a model as isomorphic to an embedded subsystem of the system it models. For example, a gas is a complicated system of microstates of particles, but these microstates can be grouped into macrostates, each with a pressure, volume, and temperature satisfying the gas law PV % kT. The derivation of this law from the detailed mechanics of the gas is a reduction of the embedded subsystem to the underlying system. In many cases it is adequate to work with the simpler embedded subsystem, but in other cases one must work with the more complex but complete underlying system. The law of an embedded subsystem may be different in kind from the law of the underlying system. Consider, e.g., a machine tossing a coin randomly. The sequence of tosses obeys a simple probability law, while the complex underlying mechanical system is deterministic. The random sequence of tosses is a probabilistic system embedded in a deterministic system, and a mathematical account of this embedding relation constitutes a reduction of the probabilistic system to a deterministic system. Compare the compatibilist’s claim that free choice can be embedded in a deterministic system. Compare also a pseudorandom sequence, which is a deterministic sequence with adequate randomness for a given (finite) simulation. Note finally that the probabilistic system of quantum mechanics underlies the deterministic system of mechanics. The ways in which models are used by goaldirected systems to solve problems and adapt to their environments are currently being modeled by human–computer combines. Since computer software can be converted into hardware, successful simulations of adaptive uses of models could be incorporated into the design of a robot. Human intentionality involves the use of a model of oneself in relation to others and the environment. A problem-solving robot using such a model would constitute an important step toward a robot with full human powers. These considerations lead to the central thesis of the philosophy of logical mechanism: a finite deterministic automaton can perform all human functions. This seems plausible in principle (and is treated in detail in Merrilee Salmon, ed., The Philosophy of Logical Mechanism: Essays in Honor of Arthur W. Burks,1990). A digital computer has reasoning and memory powers. Robots have sensory inputs for collecting information from the environment, and they have moving and acting devices. To obtain a robot with human powers, one would need to put these abilities under the direction of a system of desires, purposes, and goals. Logical mechanism is a form of mechanism or materialism, but differs from traditional forms of these doctrines in its reliance on the logical powers of computers and the logical nature of evolution and its products. The modern computer is a kind of complex hierarchical physical system, a system with memory, processor, and control that employs a hierarchy of programming languages. Humans are complex hierarchical systems designed by evolution – with structural levels of chemicals, cells, organs, and systems (e.g., circulatory, neural, immune) and linguistic levels of genes, enzymes, neural signals, and immune recognition. Traditional materialists did not have this model of a computer nor the contemporary understanding of evolution, and never gave an adequate account of logic and reasoning and such phenomena as goaldirectedness and self-modeling.  ARTIFICIAL INTELLIGENCE, CYBERNETICS, DETERMINISM, GÖDEL’S INCOMPLETENESS THEOREMS, SELF-REPRODUCING AUTOMATON, TURING MACHINE. A.W.B. Comte, Auguste (1798–1857), French philosopher and sociologist, the founder of positivism. He was educated in Paris at l’École Polytechnique, where he briefly taught mathematics. He suffered from a mental illness that occasionally interrupted his work. In conformity with empiricism, Comte held that knowledge of the world arises from observation. He went beyond many empiricists, however, in denying the possibility of knowledge of unobservable physical objects. He conceived of positivism as a method of study based on observation and restricted to the observable. He applied positivism chiefly to science. He claimed that the goal of science is prediction, to be accomplished using laws of succession. Explanation insofar as attainable has the same structure as prediction. It subsumes events under laws of succession; it is not causal. Influenced by Kant, he held that the causes of phenomena and the nature of things-in-themselves are not knowable. He criticized metaphysics for ungrounded speculation about such matters; he accused it of not keeping imagination subordinate to observation. He advanced positivism for all the sciences but held that each science has additional special methods, and has laws not derivable by human intelligence from laws of other sciences. He corresponded extensively with J. S. Mill, who Comte, Auguste Comte, Auguste 168 4065A-  AM  168 encouraged his work and discussed it in Auguste Comte and Positivism (1865). Twentieth-century logical positivism was inspired by Comte’s ideas. Comte was a founder of sociology, which he also called social physics. He divided the science into two branches – statics and dynamics dealing respectively with social organization and social development. He advocated a historical method of study for both branches. As a law of social development, he proposed that all societies pass through three intellectual stages, first interpreting phenomena theologically, then metaphysically, and finally positivistically. The general idea that societies develop according to laws of nature was adopted by Marx. Comte’s most important work is his six-volume Cours de philosophie positive (Course in Positive Philosophy, 1830–42). It is an encyclopedic treatment of the sciences that expounds positivism and culminates in the introduction of sociology.  EMPIRICISM, LOGICAL POSITIVISM. P.We. conative.VOLITION. conceivability, capability of being conceived or imagined. Thus, golden mountains are conceivable; round squares, inconceivable. As Descartes pointed out, the sort of imaginability required is not the ability to form mental images. Chiliagons, Cartesian minds, and God are all conceivable, though none of these can be pictured “in the mind’s eye.” Historical references include Anselm’s definition of God as “a being than which none greater can be conceived” and Descartes’s argument for dualism from the conceivability of disembodied existence. Several of Hume’s arguments rest upon the maxim that whatever is conceivable is possible. He argued, e.g., that an event can occur without a cause, since this is conceivable, and his critique of induction relies on the inference from the conceivability of a change in the course of nature to its possibility. In response, Reid maintained that to conceive is merely to understand the meaning of a proposition. Reid argued that impossibilities are conceivable, since we must be able to understand falsehoods. Many simply equate conceivability with possibility, so that to say something is conceivable (or inconceivable) just is to say that it is possible (or impossible). Such usage is controversial, since conceivability is broadly an epistemological notion concerning what can be thought, whereas possibility is a metaphysical notion concerning how things can be. The same controversy can arise regarding the compossible, or co-possible, where two states of affairs are compossible provided it is possible that they both obtain, and two propositions are compossible provided their conjunction is possible. Alternatively, two things are compossible if and only if there is a possible world containing both. Leibniz held that two things are compossible provided they can be ascribed to the same possible world without contradiction. “There are many possible universes, each collection of compossibles making one of them.” Others have argued that non-contradiction is sufficient for neither possibility nor compossibility. The claim that something is inconceivable is usually meant to suggest more than merely an inability to conceive. It is to say that trying to conceive results in a phenomenally distinctive mental repugnance, e.g. when one attempts to conceive of an object that is red and green all over at once. On this usage the inconceivable might be equated with what one can “just see” to be impossible. There are two related usages of ‘conceivable’: (1) not inconceivable in the sense just described; and (2) such that one can “just see” that the thing in question is possible. Goldbach’s conjecture would seem a clear example of something conceivable in the first sense, but not the second.  LEIBNIZ, NECESSITY, POSSIBLE WORLDS. P.Ti. concept.CONCEPTUALISM. concept, denoting.RUSSELL. concept, theoretical.THEORETICAL TERM. conceptual analysis.ANALYSIS. conceptual immediacy.IMMEDIACY. conceptualism, the view that there are no universals and that the supposed classificatory function of universals is actually served by particular concepts in the mind. A universal is a property that can be instantiated by more than one individual thing (or particular) at the same time; e.g., the shape of this , if identical with the shape of the next , will be one property instantiated by two distinct individual things at the same time. If viewed as located where the s are, then it would be immanent. If viewed as not having spatiotemporal location itself, but only bearing a connection, usually called instantiation or exemplification, to things that have such location, then the shape of this  would be transcendent conative conceptualism 169 4065A-  AM  169 and presumably would exist even if exemplified by nothing, as Plato seems to have held. The conceptualist rejects both views by holding that universals are merely concepts. Most generally, a concept may be understood as a principle of classification, something that can guide us in determining whether an entity belongs in a given class or does not. Of course, properties understood as universals satisfy, trivially, this definition and thus may be called concepts, as indeed they were by Frege. But the conceptualistic substantive views of concepts are that concepts are (1) mental representations, often called ideas, serving their classificatory function presumably by resembling the entities to be classified; or (2) brain states that serve the same function but presumably not by resemblance; or (3) general words (adjectives, common nouns, verbs) or uses of such words, an entity’s belonging to a certain class being determined by the applicability to the entity of the appropriate word; or (4) abilities to classify correctly, whether or not with the aid of an item belonging under (1), (2), or (3). The traditional conceptualist holds (1). Defenders of (3) would be more properly called nominalists. In whichever way concepts are understood, and regardless of whether conceptualism is true, they are obviously essential to our understanding and knowledge of anything, even at the most basic level of cognition, namely, recognition. The classic work on the topic is Thinking and Experience (1954) by H. H. Price, who held (4).  METAPHYSICS, PLATO, PROPERTY. P.Bu. conceptual polarity.POLARITY. conceptual priority.DEPENDENCE. conceptual role semantics.MEANING, PHILOSOPHY OF MIND. conceptual role theory of meaning.MEANING. conceptual truth.ANALYTIC–SYNTHETIC DISTINCTION. conciliarism.GERSON. concilience.WHEWELL. conclusive evidence.EVIDENCE. conclusive justification.JUSTIFICATION. concomitant variation, method of.MILL’S METHODS. concrescence.WHITEHEAD. concrete universal.HEGEL. concretion, principle of.WHITEHEAD. concretism.REISM. concurrent cause.CAUSATION. concursus dei, God’s concurrence. The notion derives from a theory from medieval philosophical theology, according to which any case of causation involving created substances requires both the exercise of genuine causal powers inherent in creatures and the exercise of God’s causal activity. In particular, a person’s actions are the result of the person’s causal powers, often including the powers of deliberation and choice, and God’s causal endorsement. Divine concurrence maintains that the nature of God’s activity is more determinate than simply conserving the created world in existence. Although divine concurrence agrees with occasionalism in holding God’s power to be necessary for any event to occur, it diverges from occasionalism insofar as it regards creatures as causally active.  OCCASIONALISM. W.E.M. Condillac, Étienne Bonnot de (1714–80), French philosopher, an empiricist who was considered the great analytical mind of his generation. Close to Rousseau and Diderot, he stayed within the church. He is closely (perhaps excessively) identified with the image of the statue that, in the Traité des sensations (Treatise on Sense Perception, 1754), he endows with the five senses to explain how perceptions are assimilated and produce understanding (cf. also his Treatise on the Origins of Human Knowledge, 1746). He maintains a critical distance from precursors: he adopts Locke’s tabula rasa but from his first work to Logique (Logic, 1780) insists on the creative role of the mind as it analyzes and compares sense impressions. His Traité des animaux (Treatise on Animals, 1755), which includes a proof of the existence of God, considers sensate creatures rather than Descartes’s animaux machines and sees God only as a final cause. He reshapes Leibniz’s monads in the Monadologie (Monadology, 1748, rediscovered in 1980). In the Langue des calculs (Language of Numbers, 1798) he proposes mathematics as a model of clear analysis. The origin of language and creation of symbols eventually became his major concern. His break with metaphysics in the Traité des systèmes (Treaconceptual polarity Condillac, Étienne Bonnot de 170 4065A-  AM  170 tise on Systems, 1749) has been overemphasized, but Condillac does replace rational constructs with sense experience and reflection. His empiricism has been mistaken for materialism, his clear analysis for simplicity. The “ideologues,” Destutt de Tracy and Laromiguière, found Locke in his writings. Jefferson admired him. Maine de Biran, while critical, was indebted to him for concepts of perception and the self; Cousin disliked him; Saussure saw him as a forerunner in the study of the origins of language.  LEIBNIZ, LOCKE, SENSATIONALISM. O.A.H. condition, a state of affairs or “way things are,” most commonly referred to in relation to something that implies or is implied by it. Let p, q, and r be schematic letters for declarative sentences; and let P, Q, and R be corresponding nominalizations; e.g., if p is ‘snow is white’, then P would be ‘snow’s being white’. P can be a necessary or sufficient condition of Q in any of several senses. In the weakest sense P is a sufficient condition of Q iff (if and only if): if p then q (or if P is actual then Q is actual) – where the conditional is to be read as “material,” as amounting merely to not-(p & not-q). At the same time Q is a necessary condition of P iff: if not-q then not-p. It follows that P is a sufficient condition of Q iff Q is a necessary condition of P. Stronger senses of sufficiency and of necessity are definable, in terms of this basic sense, as follows: P is nomologically sufficient (necessary) for Q iff it follows from the laws of nature, but not without them, that if p then q (that if q then p). P is alethically or metaphysically sufficient (necessary) for Q iff it is alethically or metaphysically necessary that if p then q (that if q then p). However, it is perhaps most common of all to interpret conditions in terms of subjunctive conditionals, in such a way that P is a sufficient condition of Q iff P would not occur unless Q occurred, or: if P should occur, Q would; and P is a necessary condition of Q iff Q would not occur unless P occurred, or: if Q should occur, P would.  CAUSATION, PROPERTY, STATE OF AFFAIRS. E.S. conditional, a compound sentence, such as ‘if Abe calls, then Ben answers,’ in which one sentence, the antecedent, is connected to a second, the consequent, by the connective ‘if . . . then’. Propositions (statements, etc.) expressed by conditionals are called conditional propositions (statements, etc.) and, by ellipsis, simply conditionals. The ambiguity of the expression ‘if . . . then’ gives rise to a semantic classification of conditionals into material conditionals, causal conditionals, counterfactual conditionals, and so on. In traditional logic, conditionals are called hypotheticals, and in some areas of mathematical logic conditionals are called implications. Faithful analysis of the meanings of conditionals continues to be investigated and intensely disputed.  CORRESPONDING CONDITIONAL, COUNTERFACTUALS, IMPLICATION, PROPOSITION, TRUTH TABLE. J.Cor. conditional, material.COUNTERFACTUALS, IMPLICATION. conditional, strict.COUNTERFACTUALS, IMPLICATION. conditional probability.PROBABILITY. conditional proof. (1) The argument form ‘B follows from A; therefore, if A then B’ and arguments of this form. (2) The rule of inference that permits one to infer a conditional given a derivation of its consequent from its antecedent. This is also known as the rule of conditional proof or /- introduction. G.F.S. conditional proposition.CONDITIONAL, CONVERSE, COUNTERFACTUALS. conditioning, a form of associative learning that occurs when changes in thought or behavior are produced by temporal relations among events. It is common to distinguish between two types of conditioning; one, classical or Pavlovian, in which behavior change results from events that occur before behavior; the other, operant or instrumental, in which behavior change occurs because of events after behavior. Roughly, classically and operantly conditioned behavior correspond to the everyday, folk-psychological distinction between involuntary and voluntary or goaldirected behavior. In classical conditioning, stimuli or events elicit a response (e.g., salivation); neutral stimuli (e.g., a dinner bell) gain control over behavior when paired with stimuli that already elicit behavior (e.g., the appearance of dinner). The behavior is involuntary. In operant conditioning, stimuli or events reinforce behavior after behavior occurs; neutral stimuli gain power to reinforce by being paired with actual reinforcers. Here, occasions in which behavior is reinforced serve as discriminative stimuli-evoking behavior. Operant behavior is goal-directed, if not consciously or deliberately, then through the bond between behavior and reinforcement. condition conditioning 171 4065A-  AM  171 Thus, the arrangement of condiments at dinner may serve as the discriminative stimulus evoking the request “Please pass the salt,” whereas saying “Thank you” may reinforce the behavior of passing the salt. It is not easy to integrate conditioning phenomena into a unified theory of conditioning. Some theorists contend that operant conditioning is really classical conditioning veiled by subtle temporal relations among events. Other theorists contend that operant conditioning requires mental representations of reinforcers and discriminative stimuli. B. F. Skinner (1904– 90) argued in Walden Two (1948) that astute, benevolent behavioral engineers can and should use conditioning to create a social utopia.  REDINTEGRATION. G.A.G. conditio sine qua non (Latin, ‘a condition without which not’), a necessary condition; something without which something else could not be or could not occur. For example, being a plane figure is a conditio sine qua non for being a triangle. Sometimes the phrase is used emphatically as a synonym for an unconditioned presupposition, be it for an action to start or an argument to get going. I.Bo. Condorcet, Marquis de, title of Marie-JeanAntoine-Nicolas de Caritat (1743–94), French philosopher and political theorist who contributed to the Encyclopedia and pioneered the mathematical analysis of social institutions. Although prominent in the Revolutionary government, he was denounced for his political views and died in prison. Condorcet discovered the voting paradox, which shows that majoritarian voting can produce cyclical group preferences. Suppose, for instance, that voters A, B, and C rank proposals x, y, and z as follows: A: xyz, B: yzx, and C: zxy. Then in majoritarian voting x beats y and y beats z, but z in turn beats x. So the resulting group preferences are cyclical. The discovery of this problem helped initiate social choice theory, which evaluates voting systems. Condorcet argued that any satisfactory voting system must guarantee selection of a proposal that beats all rivals in majoritarian competition. Such a proposal is called a Condorcet winner. His jury theorem says that if voters register their opinions about some matter, such as whether a defendant is guilty, and the probabilities that individual voters are right are greater than ½, equal, and independent, then the majority vote is more likely to be correct than any individual’s or minority’s vote. Condorcet’s main works are Essai sur l’application de l’analyse à la probabilité des décisions rendues à la pluralité des voix (Essay on the Application of Analysis to the Probability of Decisions Reached by a Majority of Votes, 1785); and a posthumous treatise on social issues, Esquisse d’un tableau historique des progrès de l’esprit humain (Sketch for a Historical Picture of the Progress of the Human Mind, 1795).  PROBABILITY, SOCIAL CHOICE THEORY, VOTING PARADOX. P.We. Condorcet winner.CONDORCET. confirmation, an evidential relation between evidence and any statement (especially a scientific hypothesis) that this evidence supports. It is essential to distinguish two distinct, and fundamentally different, meanings of the term: (1) the incremental sense, in which a piece of evidence contributes at least some degree of support to the hypothesis in question – e.g., finding a fingerprint of the suspect at the scene of the crime lends some weight to the hypothesis that the suspect is guilty; and (2) the absolute sense, in which a body of evidence provides strong support for the hypothesis in question – e.g., a case presented by a prosecutor making it practically certain that the suspect is guilty. If one thinks of confirmation in terms of probability, then evidence that increases the probability of a hypothesis confirms it incrementally, whereas evidence that renders a hypothesis highly probable confirms it absolutely. In each of the two foregoing senses one can distinguish three types of confirmation: (i) qualitative, (ii) quantitative, and (iii) comparative. (i) Both examples in the preceding paragraph illustrate qualitative confirmation, for no numerical values of the degree of confirmation were mentioned. (ii) If a gambler, upon learning that an opponent holds a certain card, asserts that her chance of winning has increased from 2 /3 to ¾, the claim is an instance of quantitative incremental confirmation. If a physician states that, on the basis of an X-ray, the probability that the patient has tuberculosis is .95, that claim exemplifies quantitative absolute confirmation. In the incremental sense, any case of quantitative confirmation involves a difference between two probability values; in the absolute sense, any case of quantitative confirmation involves only one probability value. (iii) Comparative confirmation in the incremental sense would be illustrated if an investigator said that possession of the murder weapon weighs more heavily against the suspect conditiio sine qua non confirmation 172 4065A-  AM  172 than does the fingerprint found at the scene of the crime. Comparative confirmation in the absolute sense would occur if a prosecutor claimed to have strong cases against two suspects thought to be involved in a crime, but that the case against one is stronger than that against the other. Even given recognition of the foregoing six varieties of confirmation, there is still considerable controversy regarding its analysis. Some authors claim that quantitative confirmation does not exist; only qualitative and/or comparative confirmation are possible. Some authors maintain that confirmation has nothing to do with probability, whereas others – known as Bayesians – analyze confirmation explicitly in terms of Bayes’s theorem in the mathematical calculus of probability. Among those who offer probabilistic analyses there are differences as to which interpretation of probability is suitable in this context. Popper advocates a concept of corroboration that differs fundamentally from confirmation. Many (real or apparent) paradoxes of confirmation have been posed; the most famous is the paradox of the ravens. It is plausible to suppose that ‘All ravens are black’ can be incrementally confirmed by the observation of one of its instances, namely, a black crow. However, ‘All ravens are black’ is logically equivalent to ‘All non-black things are non-ravens.’ By parity of reasoning, an instance of this statement, namely, any nonblack non-raven (e.g., a white shoe), should incrementally confirm it. Moreover, the equivalence condition – whatever confirms a hypothesis must equally confirm any statement logically equivalent to it – seems eminently reasonable. The result appears to facilitate indoor ornithology, for the observation of a white shoe would seem to confirm incrementally the hypothesis that all ravens are black. Many attempted resolutions of this paradox can be found in the literature.  TESTABILITY, VERIFICATIONISM. W.C.S. confirmation, degree of.CARNAP. confirmation, paradoxes of.CONFIRMATION. confirmational holism.PHILOSOPHY OF SCIENCE. Confucianism, a Chinese school of thought and set of moral, ethical, and political teachings usually considered to be founded by Confucius. Before the time of Confucius (sixth–fifth century B.C.), a social group, the Ju (literally, ‘weaklings’ or ‘foundlings’), existed whose members were ritualists and sometimes also teachers by profession. Confucius belonged to this group; but although he retained the interest in rituals, he was also concerned with the then chaotic social and political situation and with the search for remedies, which he believed to lie in the restoration and maintenance of certain traditional values and norms. Later thinkers who professed to be followers of Confucius shared such concern and belief and, although they interpreted and developed Confucius’s teachings in different ways, they are often regarded as belonging to the same school of thought, traditionally referred to by Chinese scholars as Ju-chia, or the school of the Ju. The term ‘Confucianism’ is used to refer to some or all of the range of phenomena including the way of life of the Ju as a group of ritualists, the school of thought referred to as Ju-chia, the ethical, social, and political ideals advocated by this school of thought (which include but go well beyond the practice of rituals), and the influence of such ideals on the actual social and political order and the life of the Chinese. As a school of thought, Confucianism is characterized by a common ethical ideal which includes an affective concern for all living things, varying in degree and nature depending on how such things relate to oneself; a reverential attitude toward others manifested in the observance of formal rules of conduct such as the way to receive guests; an ability to determine the proper course of conduct, whether this calls for observance of traditional norms or departure from such norms; and a firm commitment to proper conduct so that one is not swayed by adverse circumstances such as poverty or death. Everyone is supposed to have the ability to attain this ideal, and people are urged to exercise constant vigilance over their character so that they can transform themselves to embody this ideal fully. In the political realm, a ruler who embodies the ideal will care about and provide for the people, who will be attracted to him; the moral example he sets will have a transforming effect on the people. Different Confucian thinkers have different conceptions of the way the ethical ideal may be justified and attained. Mencius (fourth century B.C.) regarded the ideal as a full realization of certain incipient moral inclinations shared by human beings, and emphasized the need to reflect on and fully develop such inclinations. Hsün Tzu (third century B.C.) regarded it as a way of optimizing the satisfaction of presocial confirmation, degree of Confucianism 173 4065A-  AM  173 human desires, and emphasized the need to learn the norms governing social distinctions and let them transform and regulate the pursuit of satisfaction of such desires. Different kinds of Confucian thought continued to evolve, yielding such major thinkers as Tung Chung-shu (second century B.C.) and Han Yü (A.D. 768–824). Han Yü regarded Mencius as the true transmitter of Confucius’s teachings, and this view became generally accepted, largely through the efforts of Chu Hsi (1130–1200). The Mencian form of Confucian thought continued to be developed in different ways by such major thinkers as Chu Hsi, Wang Yang-ming (1472–1529), and Tai Chen (1723–77), who differed concerning the way to attain the Confucian ideal and the metaphysics undergirding it. Despite these divergent developments, Confucius continued to be revered within this tradition of thought as its first and most important thinker, and the Confucian school of thought continued to exert great influence on Chinese life and on the social and political order down to the present century.  CHU HSI, MENCIUS, WANG YANGMING. K.-l.S. Confucius, also known as K’ung Ch’iu, K’ung Tzu, Kung Fu-tzu (sixth–fifth century B.C.), Chinese thinker usually regarded as founder of the Confucian school of thought. His teachings are recorded in the Lun Yü or Analects, a collection of sayings by him and by disciples, and of conversations between him and his disciples. His highest ethical ideal is jen (humanity, goodness), which includes an affective concern for the wellbeing of others, desirable attributes (e.g. filial piety) within familial, social, and political institutions, and other desirable attributes such as yung (courage, bravery). An important part of the ideal is the general observance of li (rites), the traditional norms governing conduct between people related by their different social positions, along with a critical reflection on such norms and a preparedness to adapt them to present circumstances. Human conduct should not be dictated by fixed rules, but should be sensitive to relevant considerations and should accord with yi (rightness, duty). Other important concepts include shu (consideration, reciprocity), which involves not doing to another what one would not have wished done to oneself, and chung (loyalty, commitment), interpreted variously as a commitment to the exercise of shu, to the norms of li, or to one’s duties toward superiors and equals. The ideal of jen is within the reach of all, and one should constantly reflect on one’s character and correct one’s deficiencies. Jen has transformative powers that should ideally be the basis of government; a ruler with jen will care about and provide for the people, who will be attracted to him, and the moral example he sets will inspire people to reform themselves.  CONFUCIANISM, JEN, LI2. K.-l.S. congruence.LEWIS, C. I. conjecture.POPPER. conjunction, the logical operation on a pair of propositions that is typically indicated by the coordinating conjunction ‘and’. The truth table for conjunction is Besides ‘and’, other coordinating conjunctions, including ‘but’, ‘however’, ‘moreover’, and ‘although’, can indicate logical conjunction, as can the semicolon ‘;’ and the comma ‘,’.  TRUTH TABLE. R.W.B. conjunction elimination. (1) The argument form ‘A and B; therefore, A (or B)’ and arguments of this form. (2) The rule of inference that permits one to infer either conjunct from a conjunction. This is also known as the rule of simplification or 8-elimination.  CONJUNCTION. G.F.S. conjunction introduction. (1) The argument form ‘A, B; therefore, A and B’ and arguments of this form. (2) The rule of inference that permits one to infer a conjunction from its two conjuncts. This is also known as the rule of conjunction introduction, 8-introduction, or adjunction.  CONJUNCTION. G.F.S. conjunctive normal form.NORMAL FORM. connected,said of a relation R where, for any two distinct elements x and y of the domain, either xRy or yRx. R is said to be strongly connected if, for any two elements x and y, either xRy or yRx, even if x and y are identical. Given the domain of positive integers, for instance, the relation ‹ is connected, since for any two distinct numbers a and b, either a ‹ b or b ‹ a. ‹ is not strongly connected, however, since if a % b we do not have either a ‹ b or b ‹ a. The relation o, however, is Confucius connected 174 4065A-  AM  174 strongly connected, since either a o b or b o a for any two numbers, including the case where a % b. An example of a relation that is not connected is the subset relation 0, since it is not true that for any two sets A and B, either A 0 B or B 0 A.  RELATION. V.K. connectionism, an approach to modeling cognitive systems which utilizes networks of simple processing units that are inspired by the basic structure of the nervous system. Other names for this approach are neural network modeling and parallel distributed processing. Connectionism was pioneered in the period 1940–65 by researchers such as Frank Rosenblatt and Oliver Selfridge. Interest in using such networks diminished during the 1970s because of limitations encountered by existing networks and the growing attractiveness of the computer model of the mind (according to which the mind stores symbols in memory and registers and performs computations upon them). Connectionist models enjoyed a renaissance in the 1980s, partly as the result of the discovery of means of overcoming earlier limitations (e.g., development of the back-propagation learning algorithm by David Rumelhart, Geoffrey Hinton, and Ronald Williams, and of the Boltzmann-machine learning algorithm by David Ackley, Geoffrey Hinton, and Terrence Sejnowski), and partly as limitations encountered with the computer model rekindled interest in alternatives. Researchers employing connectionist-type nets are found in a variety of disciplines including psychology, artificial intelligence, neuroscience, and physics. There are often major differences in the endeavors of these researchers: psychologists and artificial intelligence researchers are interested in using these nets to model cognitive behavior, whereas neuroscientists often use them to model processing in particular neural systems. A connectionist system consists of a set of processing units that can take on activation values. These units are connected so that particular units can excite or inhibit others. The activation of any particular unit will be determined by one or more of the following: inputs from outside the system, the excitations or inhibitions supplied by other units, and the previous activation of the unit. There are a variety of different architectures invoked in connectionist systems. In feedforward nets units are clustered into layers and connections pass activations in a unidirectional manner from a layer of input units to a layer of output units, possibly passing through one or more layers of hidden units along the way. In these systems processing requires one pass of processing through the network. Interactive nets exhibit no directionality of processing: a given unit may excite or inhibit another unit, and it, or another unit influenced by it, might excite or inhibit the first unit. A number of processing cycles will ensue after an input has been given to some or all of the units until eventually the network settles into one state, or cycles through a small set of such states. One of the most attractive features of connectionist networks is their ability to learn. This is accomplished by adjusting the weights connecting the various units of the system, thereby altering the manner in which the network responds to inputs. To illustrate the basic process of connectionist learning, consider a feedforward network with just two layers of units and one layer of connections. One learning procedure (commonly referred to as the delta rule) first requires the network to respond, using current weights, to an input. The activations on the units of the second layer are then compared to a set of target activations, and detected differences are used to adjust the weights coming from active input units. Such a procedure gradually reduces the difference between the actual response and the target response. In order to construe such networks as cognitive models it is necessary to interpret the input and output units. Localist interpretations treat individual input and output units as representing concepts such as those found in natural language. Distributed interpretations correlate only patterns of activation of a number of units with ordinary language concepts. Sometimes (but not always) distributed models will interpret individual units as corresponding to microfeatures. In one interesting variation on distributed representation, known as coarse coding, each symbol will be assigned to a different subset of the units of the system, and the symbol will be viewed as active only if a predefined number of the assigned units are active. A number of features of connectionist nets make them particularly attractive for modeling cognitive phenomena in addition to their ability to learn from experience. They are extremely efficient at pattern-recognition tasks and often generalize very well from training inputs to similar test inputs. They can often recover complete patterns from partial inputs, making them good models for content-addressable memory. Interactive networks are particularly useful in modeling cognitive tasks in which multiple constraints must be satisfied simultaneously, or in which the connectionism connectionism 175 4065A-  AM  175 goal is to satisfy competing constraints as well as possible. In a natural manner they can override some constraints on a problem when it is not possible to satisfy all, thus treating the constraints as soft. While the cognitive connectionist models are not intended to model actual neural processing, they suggest how cognitive processes can be realized in neural hardware. They also exhibit a feature demonstrated by the brain but difficult to achieve in symbolic systems: their performance degrades gracefully as units or connections are disabled or the capacity of the network is exceeded, rather than crashing. Serious challenges have been raised to the usefulness of connectionism as a tool for modeling cognition. Many of these challenges have come from theorists who have focused on the complexities of language, especially the systematicity exhibited in language. Jerry Fodor and Zenon Pylyshyn, for example, have emphasized the manner in which the meaning of complex sentences is built up compositionally from the meaning of components, and argue both that compositionality applies to thought generally and that it requires a symbolic system. Therefore, they maintain, while cognitive systems might be implemented in connectionist nets, these nets do not characterize the architecture of the cognitive system itself, which must have capacities for symbol storage and manipulation. Connectionists have developed a variety of responses to these objections, including emphasizing the importance of cognitive functions such as pattern recognition, which have not been as successfully modeled by symbolic systems; challenging the need for symbol processing in accounting for linguistic behavior; and designing more complex connectionist architectures, such as recurrent networks, capable of responding to or producing systematic structures.  ARTIFICIAL INTELLIGENCE, COGNITIVE SCIENCE, PHILOSOPHY OF MIND. W.B. connective, propositional.SENTENTIAL CONNECTIVE. connective, sentential.SENTENTIAL CONNECTIVE. connotation. (1) The ideas and associations brought to mind by an expression (used in contrast with ‘denotation’ and ‘meaning’). (2) In a technical use, the properties jointly necessary and sufficient for the correct application of the expression in question.  DENOTATION, MEANING. T.M. conscience.BUTLER, SYNDERESIS. consciousness.PHILOSOPHY OF MIND. consent, informed.INFORMED CONSENT. consent, tacit.SOCIAL CONTRACT. consequence.FORMAL SEMANTICS. consequence, logical.LOGICAL CONSEQUENCE. consequence, semantic.MODAL LOGIC. consequence argument.FREE WILL PROBLEM. consequence relation.FORMAL SEMANTICS, LOGICAL CONSEQUENCE. consequent.COUNTERFACTUALS. consequentialism, the doctrine that the moral rightness of an act is determined solely by the goodness of the act’s consequences. Prominent consequentialists include J. S. Mill, Moore, and Sidgwick. Maximizing versions of consequentialism – the most common sort – hold that an act is morally right if and only if it produces the best consequences of those acts available to the agent. Satisficing consequentialism holds that an act is morally right if and only if it produces enough good consequences on balance. Consequentialist theories are often contrasted with deontological ones, such as Kant’s, which hold that the rightness of an act is determined at least in part by something other than the goodness of the act’s consequences. A few versions of consequentialism are agentrelative: that is, they give each agent different aims, so that different agents’ aims may conflict. For instance, egoistic consequentialism holds that the moral rightness of an act for an agent depends solely on the goodness of its consequences for him or her. However, the vast majority of consequentialist theories have been agent-neutral (and consequentialism is often defined in a more restrictive way so that agentrelative versions do not count as consequentialist). A doctrine is agent-neutral when it gives to each agent the same ultimate aims, so that different agents’ aims cannot conflict. For instance, utilitarianism holds that an act is morally right if and only if it produces more happiness for the sentient beings it affects than any other act available to the agent. This gives each agent the same ultimate aim, and so is agent-neutral. connective, propositional consequentialism 176 4065A-  AM  176 Consequentialist theories differ over what features of acts they hold to determine their goodness. Utilitarian versions hold that the only consequences of an act relevant to its goodness are its effects on the happiness of sentient beings. But some consequentialists hold that the promotion of other things matters too – achievement, autonomy, knowledge, or fairness, for instance. Thus utilitarianism, as a maximizing, agent-neutral, happiness-based view is only one of a broad range of consequentialist theories.  ETHICS; MILL, J. S.; MOORE; SIDGWICK; UTILITARIANISM. B.Ga. consequentialism, indirect.BUTLER. consequential property.SUPERVENIENCE. consequentia mirabilis, the logical principle that if a statement follows from its own negation it must be true. Strict consequentia mirabilis is the principle that if a statement follows logically from its own negation it is logically true. The principle is often connected with the paradoxes of strict implication, according to which any statement follows from a contradiction. Since the negation of a tautology is a contradiction, every tautology follows from its own negation. However, if every expression of the form ‘if p then q’ implies ‘not-p or q’ (they need not be equivalent), then from ‘if not-p then p’ we can derive ‘not-not-p or p’ and (by the principles of double negation and repetition) derive p. Since all of these rules are unexceptionable the principle of consequentia mirabilis is also unexceptionable. It is, however, somewhat counterintuitive, hence the name (‘the astonishing implication’), which goes back to its medieval discoverers (or rediscoverers).  IMPLICATION. R.P. conservation.PHILOSOPHY OF SCIENCE. conservation principle.PHILOSOPHY OF SCIENCE. consilience.WHEWELL. consistency, in traditional Aristotelian logic, a semantic notion: two or more statements are called consistent if they are simultaneously true under some interpretation (cf., e.g., W. S. Jevons, Elementary Lessons in Logic, 1870). In modern logic there is a syntactic definition that also fits complex (e.g., mathematical) theories developed since Frege’s Begriffsschrift (1879): a set of statements is called consistent with respect to a certain logical calculus, if no formula ‘P & –P’ is derivable from those statements by the rules of the calculus; i.e., the theory is free from contradictions. If these definitions are equivalent for a logic, we have a significant fact, as the equivalence amounts to the completeness of its system of rules. The first such completeness theorem was obtained for sentential or propositional logic by Paul Bernays in 1918 (in his Habilitationsschrift that was partially published as Axiomatische Untersuchung des Aussagen-Kalküls der “Principia Mathematica,” 1926) and, independently, by Emil Post (in Introduction to a General Theory of Elementary Propositions, 1921); the completeness of predicate logic was proved by Gödel (in Die Vollständigkeit der Axiome des logischen Funktionenkalküls, 1930). The crucial step in such proofs shows that syntactic consistency implies semantic consistency. Cantor applied the notion of consistency to sets. In a well-known letter to Dedekind (1899) he distinguished between an inconsistent and a consistent multiplicity; the former is such “that the assumption that all of its elements ‘are together’ leads to a contradiction,” whereas the elements of the latter “can be thought of without contradiction as ‘being together.’ “ Cantor had conveyed these distinctions and their motivation by letter to Hilbert in 1897 (see W. Purkert and H. J. Ilgauds, Georg Cantor, 1987). Hilbert pointed out explicitly in 1904 that Cantor had not given a rigorous criterion for distinguishing between consistent and inconsistent multiplicities. Already in his Über den Zahlbegriff (1899) Hilbert had suggested a remedy by giving consistency proofs for suitable axiomatic systems; e.g., to give the proof of the “existence of the totality of real numbers or – in the terminology of G. Cantor – the proof of the fact that the system of real numbers is a consistent (complete) set” by establishing the consistency of an axiomatic characterization of the reals – in modern terminology, of the theory of complete, ordered fields. And he claimed, somewhat indeterminately, that this could be done “by a suitable modification of familiar methods.” After 1904, Hilbert pursued a new way of giving consistency proofs. This novel way of proceeding, still aiming for the same goal, was to make use of the formalization of the theory at hand. However, in the formulation of Hilbert’s Program during the 1920s the point of consistency proofs was no longer to guarantee the existence of suitable sets, but rather to establish the instrumental usefulness of strong mathematical consequentialism, indirect consistency 177 4065A-  AM  177 theories T, like axiomatic set theory, relative to finitist mathematics. That focus rested on the observation that the statement formulating the syntactic consistency of T is equivalent to the reflection principle Pr(a, ‘s’) P s; here Pr is the finitist proof predicate for T, s is a finitistically meaningful statement, and ‘s’ its translation into the language of T. If one could establish finitistically the consistency of T, one could be sure – on finitist grounds – that T is a reliable instrument for the proof of finitist statements. There are many examples of significant relative consistency proofs: (i) non-Euclidean geometry relative to Euclidean, Euclidean geometry relative to analysis; (ii) set theory with the axiom of choice relative to set theory (without the axiom of choice), set theory with the negation of the axiom of choice relative to set theory; (iii) classical arithmetic relative to intuitionistic arithmetic, subsystems of classical analysis relative to intuitionistic theories of constructive ordinals. The mathematical significance of relative consistency proofs is often brought out by sharpening them to establish conservative extension results; the latter may then ensure, e.g., that the theories have the same class of provably total functions. The initial motivation for such arguments is, however, frequently philosophical: one wants to guarantee the coherence of the original theory on an epistemologically distinguished basis.  CANTOR, COMPLETENESS, GÖDEL’S INCOMPLETENESS THEOREMS, HILBERT’S PROGRAM, PROOF THEORY. W.S. consistency, axiom of.AXIOM OF CONSISTENCY. consistency, semantic.CONSISTENCY. consistency, syntactic.CONSISTENCY. Constant, Benjamin, in full, Henri-Benjamin Constant de Rebecque (1767–1830), Swiss-born defender of liberalism and passionate analyst of French and European politics. He welcomed the French Revolution but not the Reign of Terror, the violence of which he avoided by accepting a lowly diplomatic post in Braunschweig (1787– 94). In 1795 he returned to Paris with Madame de Staël and intervened in parliamentary debates. His pamphlets opposed both extremes, the Jacobin and the Bonapartist. Impressed by Rousseau’s Social Contract, he came to fear that like Napoleon’s dictatorship, the “general will” could threaten civil rights. He had first welcomed Napoleon, but turned against his autocracy. He favored parliamentary democracy, separation of church and state, and a bill of rights. The high point of his political career came with membership in the Tribunat (1800–02), a consultative chamber appointed by the Senate. His centrist position is evident in the Principes de politique (1806–10). Had not republican terror been as destructive as the Empire? In chapters 16–17, Constant opposes the liberty of the ancients and that of the moderns. He assumes that the Greek world was given to war, and therefore strengthened “political liberty” that favors the state over the individual (the liberty of the ancients). Fundamentally optimistic, he believed that war was a thing of the past, and that the modern world needs to protect “civil liberty,” i.e. the liberty of the individual (the liberty of the moderns). The great merit of Constant’s comparison is the analysis of historical forces, the theory that governments must support current needs and do not depend on deterministic factors such as the size of the state, its form of government, geography, climate, and race. Here he contradicts Montesquieu. The opposition between ancient and modern liberty expresses a radical liberalism that did not seem to fit French politics. However, it was the beginning of the liberal tradition, contrasting political liberty in the service of the state with the civil liberty of the citizen (cf. Mill’s On Liberty, 1859, and Berlin’s Two Concepts of Liberty, 1958). Principes remained in manuscript until 1861; the scholarly editions of Étienne Hofmann (1980) are far more recent. Hofmann calls Principes the essential text between Montesquieu and Tocqueville. It was translated into English as Constant, Political Writings (ed. Biancamaria Fontana, 1988 and 1997). Forced into retirement by Napoleon, Constant wrote his literary masterpieces, Adolphe and the diaries. He completed the Principes, then turned to De la religion (6 vols.), which he considered his supreme achievement.  MONTESQUIEU, POLITICAL PHILOSOPHY, POSITIVE AND NEGATIVE FREEDOM. O.A.H. constant, logical.LOGICAL CONSTANT. constant conjunction.CAUSATION, HUME. constant sum game.GAME THEORY. constative.SPEECH ACT THEORY. constitution, a relation between concrete particuconsistency, axiom of constitution 178 4065A-  AM  178 lars (including objects and events) and their parts, according to which at some time t, a concrete particular is said to be constituted by the sum of its parts without necessarily being identical with that sum. For instance, at some specific time t, Mt. Everest is constituted by the various chunks of rock and other matter that form Everest at t, though at t Everest would still have been Everest even if, contrary to fact, some particular rock that is part of the sum had been absent. Hence, although Mt. Everest is not identical to the sum of its material parts at t, it is constituted by them. The relation of constitution figures importantly in recent attempts to articulate and defend metaphysical physicalism (naturalism). To capture the idea that all that exists is ultimately physical, we may say that at the lowest level of reality, there are only microphysical phenomena, governed by the laws of microphysics, and that all other objects and events are ultimately constituted by objects and events at the microphysical level.  IDENTITY, MORAL REALISM, NATURALISM, PHYSICALISM, REDUCTION. M.C.T. constitutive principle.KANT. construct.LOGICAL CONSTRUCTION, OPERATIONALISM. construct, hypothetical.OPERATIONALISM. constructionism, social.SOCIAL CONSTRUCTIVISM. constructive dilemma.DILEMMA. constructive empiricism.SOCIAL CONSTRUCTIVISM. constructivism, ethical.ETHICAL CONSTRUCTIVISM. constructivism, mathematical.PHILOSOPHY OF MATHEMATICS. constructivism, social.SOCIAL CONSTRUCTIVISM. consubstantiation.TRANSUBSTANTIATION. containment.KANT. content.INDEXICAL, PHILOSOPHY OF MIND. content, factual.ANALYTIC–SYNTHETIC DISTINCTION. content, latent.FREUD. content, manifest.FREUD. content, narrow.PHILOSOPHY OF MIND. content, propositional.CIRCULAR REASONING. content, wide.PHILOSOPHY OF MIND. content externalism.PHILOSOPHY OF MIND. context principle.FREGE. contextual definition.DEFINITION. contextualism, the view that inferential justification always takes place against a background of beliefs that are themselves in no way evidentially supported. The view has not often been defended by name, but Dewey, Popper, Austin, and Wittgenstein are arguably among its notable exponents. As this list perhaps suggests, contextualism is closely related to the “relevant alternatives” conception of justification, according to which claims to knowledge are justified not by ruling out any and every logically possible way in which what is asserted might be false or inadequately grounded, but by excluding certain especially relevant alternatives or epistemic shortcomings, these varying from one context of inquiry to another. Formally, contextualism resembles foundationalism. But it differs from traditional, or substantive, foundationalism in two crucial respects. First, foundationalism insists that basic beliefs be self-justifying or intrinsically credible. True, for contemporary foundationalists, this intrinsic credibility need not amount to incorrigibility, as earlier theorists tended to suppose: but some degree of intrinsic credibility is indispensable for basic beliefs. Second, substantive foundational theories confine intrinsic credibility, hence the status of being epistemologically basic, to beliefs of some fairly narrowly specified kind(s). By contrast, contextualists reject all forms of the doctrine of intrinsic credibility, and in consequence place no restrictions on the kinds of beliefs that can, in appropriate circumstances, function as contextually basic. They regard this as a strength of their position, since explaining and defending attributions of intrinsic credibility has always been the foundationalist’s main problem. Contextualism is also distinct from the coherence theory of justification, foundationalism’s constitutive principle contextualism 179 4065A-  AM  179 traditional rival. Coherence theorists are as suspicious as contextualists of the foundationalist’s specified kinds of basic beliefs. But coherentists react by proposing a radically holistic model of inferential justification, according to which a belief becomes justified through incorporation into a suitably coherent overall system of beliefs or “total view.” There are many well-known problems with this approach: the criteria of coherence have never been very clearly articulated; it is not clear what satisfying such criteria has to do with making our beliefs likely to be true; and since it is doubtful whether anyone has a very clear picture of his system of beliefs as a whole, to insist that justification involves comparing the merits of competing total views seems to subject ordinary justificatory practices to severe idealization. Contextualism, in virtue of its formal affinity with foundationalism, claims to avoid all such problems. Foundationalists and coherentists are apt to respond that contextualism reaps these benefits by failing to show how genuinely epistemic justification is possible. Contextualism, they charge, is finally indistinguishable from the skeptical view that “justification” depends on unwarranted assumptions. Even if, in context, these are pragmatically acceptable, epistemically speaking they are still just assumptions. This objection raises the question whether contextualists mean to answer the same questions as more traditional theorists, or answer them in the same way. Traditional theories of justification are framed so as to respond to highly general skeptical questions – e.g., are we justified in any of our beliefs about the external world? It may be that contextualist theories are (or should be) advanced, not as direct answers to skepticism, but in conjunction with attempts to diagnose or dissolve traditional skeptical problems. Contextualists need to show how and why traditional demands for “global” justification misfire, if they do. If traditional skeptical problems are taken at face value, it is doubtful whether contextualism can answer them.  COHERENTISM, EPISTEMOLOGY, FOUNDATIONALISM, JUSTIFICATION. M.W. contiguity.ASSOCIATIONISM. continence.AKRASIA. Continental philosophy, the gradually changing spectrum of philosophical views that in the twentieth century developed in Continental Europe and that are notably different from the various forms of analytic philosophy that during the same period flourished in the Anglo-American world. Immediately after World War II the expression was more or less synonymous with ‘phenomenology’. The latter term, already used earlier in German idealism, received a completely new meaning in the work of Husserl. Later on the term was also applied, often with substantial changes in meaning, to the thought of a great number of other Continental philosophers such as Scheler, Alexander Pfander, Hedwig Conrad-Martius, Nicolai Hartmann, and most philosophers mentioned below. For Husserl the aim of philosophy is to prepare humankind for a genuinely philosophical form of life, in and through which each human being gives him- or herself a rule through reason. Since the Renaissance, many philosophers have tried in vain to materialize this aim. In Husserl’s view, the reason was that philosophers failed to use the proper philosophical method. Husserl’s phenomenology was meant to provide philosophy with the method needed. Among those deeply influenced by Husserl’s ideas the so-called existentialists must be mentioned first. If ‘existentialism’ is construed strictly, it refers mainly to the philosophy of Sartre and Beauvoir. In a very broad sense it refers to the ideas of an entire group of thinkers influenced methodologically by Husserl and in content by Marcel, Heidegger, Sartre, or Merleau-Ponty. In this case one often speaks of existential phenomenology. When Heidegger’s philosophy became better known in the Anglo-American world, ‘Continental philosophy’ received again a new meaning. From Heidegger’s first publication, Being and Time (1927), it was clear that his conception of phenomenology differs from that of Husserl in several important respects. That is why he qualified the term and spoke of hermeneutic phenomenology and clarified the expression by examining the “original” meaning of the Greek words from which the term was formed. In his view phenomenology must try “to let that which shows itself be seen from itself in the very way in which it shows itself from itself.” Heidegger applied the method first to the mode of being of man with the aim of approaching the question concerning the meaning of being itself through this phenomenological interpretation. Of those who took their point of departure from Heidegger, but also tried to go beyond him, Gadamer and Ricoeur must be mentioned. The structuralist movement in France added another connotation to ‘Continental philosocontiguity Continental philosophy 180 4065A-  AM  180 phy’. The term structuralism above all refers to an activity, a way of knowing, speaking, and acting that extends over a number of distinguished domains of human activity: linguistics, aesthetics, anthropology, psychology, psychoanalysis, mathematics, philosophy of science, and philosophy itself. Structuralism, which became a fashion in Paris and later in Western Europe generally, reached its high point on the Continent between 1950 and 1970. It was inspired by ideas first formulated by Russian formalism (1916–26) and Czech structuralism (1926–40), but also by ideas derived from the works of Marx and Freud. In France Foucault, Barthes, Althusser, and Derrida were the leading figures. Structuralism is not a new philosophical movement; it must be characterized by structuralist activity, which is meant to evoke ever new objects. This can be done in a constructive and a reconstructive manner, but these two ways of evoking objects can never be separated. One finds the constructive aspect primarily in structuralist aesthetics and linguistics, whereas the reconstructive aspect is more apparent in philosophical reflections upon the structuralist activity. Influenced by Nietzschean ideas, structuralism later developed in a number of directions, including poststructuralism; in this context the works of Gilles Deleuze, Lyotard, Irigaray, and Kristeva must be mentioned. After 1970 ‘Continental philosophy’ received again a new connotation: deconstruction. At first deconstruction presented itself as a reaction against philosophical hermeneutics, even though both deconstruction and hermeneutics claim their origin in Heidegger’s reinterpretation of Husserl’s phenomenology. The leading philosopher of the movement is Derrida, who at first tried to think along phenomenological and structuralist lines. Derrida formulated his “final” view in a linguistic form that is both complex and suggestive. It is not easy in a few sentences to state what deconstruction is. Generally speaking one can say that what is being deconstructed is texts; they are deconstructed to show that there are conflicting conceptions of meaning and implication in every text so that it is never possible definitively to show what a text really means. Derrida’s own deconstructive work is concerned mainly with philosophical texts, whereas others apply the “method” predominantly to literary texts. What according to Derrida distinguished philosophy is its reluctance to face the fact that it, too, is a product of linguistic and rhetorical figures. Deconstruction is here that process of close reading that focuses on those elements where philosophers in their work try to erase all knowledge of its own linguistic and rhetorical dimensions. It has been said that if construction typifies modern thinking, then deconstruction is the mode of thinking that radically tries to overcome modernity. Yet this view is simplistic, since one also deconstructs Plato and many other thinkers and philosophers of the premodern age. People concerned with social and political philosophy who have sought affiliation with Continental philosophy often appeal to the so-called critical theory of the Frankfurt School in general, and to Habermas’s theory of communicative action in particular. Habermas’s view, like the position of the Frankfurt School in general, is philosophically eclectic. It tries to bring into harmony ideas derived from Kant, German idealism, and Marx, as well as ideas from the sociology of knowledge and the social sciences. Habermas believes that his theory makes it possible to develop a communication community without alienation that is guided by reason in such a way that the community can stand freely in regard to the objectively given reality. Critics have pointed out that in order to make this theory work Habermas must substantiate a number of assumptions that until now he has not been able to justify.  ANALYTIC PHILOSOPHY, DECONSTRUCTION, EXISTENTIALISM, PHENOMENOLOGY, SARTRE, STRUCTURALISM. J.J.K. Continental rationalism.RATIONALISM. contingent, neither impossible nor necessary; i.e., both possible and non-necessary. The modal property of being contingent is attributable to a proposition, state of affairs, event, or – more debatably – an object. Muddles about the relationship between this and other modal properties have abounded ever since Aristotle, who initially conflated contingency with possibility but later realized that something that is possible may also be necessary, whereas something that is contingent cannot be necessary. Even today many philosophers are not clear about the “opposition” between contingency and necessity, mistakenly supposing them to be contradictory notions (probably because within the domain of true propositions the contingent and the necessary are indeed both exclusive and exhaustive of one another). But the contradictory of ‘necessary’ is ‘non-necessary’; that of ‘contingent’ is ‘non-contingent’, as the following extended modal square of opposition shows: Continental rationalism contingent 181 4065A-  AM  181 These logicosyntactical relationships are preserved through various semantical interpretations, such as those involving: (a) the logical modalities (proposition P is logically contingent just when P is neither a logical truth nor a logical falsehood); (b) the causal or physical modalities (state of affairs or event E is physically contingent just when E is neither physically necessary nor physically impossible); and (c) the deontic modalities (act A is morally indeterminate just when A is neither morally obligatory nor morally forbidden). In none of these cases does ‘contingent’ mean ‘dependent,’ as in the phrase ‘is contingent upon’. Yet just such a notion of contingency seems to feature prominently in certain formulations of the cosmological argument, all created objects being said to be contingent beings and God alone to be a necessary or non-contingent being. Conceptual clarity is not furthered by assimilating this sense of ‘contingent’ to the others.  MODAL LOGIC, NECESSITY. R.D.B. contingent being.PHILOSOPHY OF RELIGION. contingent liar.SEMANTIC PARADOXES. contingents, future.FUTURE CONTINGENTS. continuant.TIME SLICE. continuity, bodily.PERSONAL IDENTITY. continuity, psychological.PERSONAL IDENTITY. continuity, spatiotemporal.SPATIOTEMPORAL CONTINUITY. continuum hypothesis.CANTOR, CONTINUUM PROBLEM. continuum problem, an open question that arose in Cantor’s theory of infinite cardinal numbers. By definition, two sets have the same cardinal number if there is a one-to-one correspondence between them. For example, the function that sends 0 to 0, 1 to 2, 2 to 4, etc., shows that the set of even natural numbers has the same cardinal number as the set of all natural numbers, namely F0. That F0 is not the only infinite cardinal follows from Cantor’s theorem: the power set of any set (i.e., the set of all its subsets) has a greater cardinality than the set itself. So, e.g., the power set of the natural numbers, i.e., the set of all sets of natural numbers, has a cardinal number greater than F0. The first infinite number greater than F0 is F1; the next after that is F2, and so on. When arithmetical operations are extended into the infinite, the cardinal number of the power set of the natural numbers turns out to be 2F0. By Cantor’s theorem, 2F0 must be greater than F0; the conjecture that it is equal to F1 is Cantor’s continuum hypothesis (in symbols, CH or 2F0 % F1). Since 2F0 is also the cardinality of the set of points on a continuous line, CH can also be stated in this form: any infinite set of points on a line can be brought into one-to-one correspondence either with the set of natural numbers or with the set of all points on the line. Cantor and others attempted to prove CH, without success. It later became clear, due to the work of Gödel and Cohen, that their failure was inevitable: the continuum hypothesis can neither be proved nor disproved from the axioms of set theory (ZFC). The question of its truth or falsehood – the continuum problem – remains open.  CANTOR, INFINITY, SET THEORY. P.Mad. contractarianism, a family of moral and political theories that make use of the idea of a social contract. Traditionally philosophers (such as Hobbes and Locke) used the social contract idea to justify certain conceptions of the state. In the twentieth century philosophers such as John Rawls have used the social contract notion to define and defend moral conceptions (both conceptions of political justice and individual morality), often (but not always) doing so in addition to developing social contract theories of the state. The term ‘contractarian’ most often applies to this second type of theory. There are two kinds of moral argument that the contract image has spawned, the first rooted in Hobbes and the second rooted in Kant. Hobbesians start by insisting that what is valuable is what a person desires or prefers, not what he ought to desire or prefer (for no such prescriptively powerful object exists); and rational action is action that achieves or maximizes the satisfaccontingent being contractarianism 182 4065A-  AM  182 tion of desires or preferences. They go on to insist that moral action is rational for a person to perform if and only if such action advances the satisfaction of his desires or preferences. And they argue that because moral action leads to peaceful and harmonious living conducive to the satisfaction of almost everyone’s desires or preferences, moral actions are rational for almost everyone and thus “mutually agreeable.” But Hobbesians believe that, to ensure that no cooperative person becomes the prey of immoral aggressors, moral actions must be the conventional norms in a community, so that each person can expect that if she behaves cooperatively, others will do so too. These conventions constitute the institution of morality in a society. So the Hobbesian moral theory is committed to the idea that morality is a human-made institution, which is justified only to the extent that it effectively furthers human interests. Hobbesians explain the existence of morality in society by appealing to the convention-creating activities of human beings, while arguing that the justification of morality in any human society depends upon how well its moral conventions serve individuals’ desires or preferences. By considering “what we could agree to” if we reappraised and redid the cooperative conventions in our society, we can determine the extent to which our present conventions are “mutually agreeable” and so rational for us to accept and act on. Thus, Hobbesians invoke both actual agreements (or rather, conventions) and hypothetical agreements (which involve considering what conventions would be “mutually agreeable”) at different points in their theory; the former are what they believe our moral life consists in; the latter are what they believe our moral life should consist in – i.e., what our actual moral life should model. So the notion of the contract does not do justificational work by itself in the Hobbesian moral theory: this term is used only metaphorically. What we “could agree to” has moral force for the Hobbesians not because make-believe promises in hypothetical worlds have any binding force but because this sort of agreement is a device that (merely) reveals how the agreed-upon outcome is rational for all of us. In particular, thinking about “what we could all agree to” allows us to construct a deduction of practical reason to determine what policies are mutually advantageous. The second kind of contractarian theory is derived from the moral theorizing of Kant. In his later writings Kant proposed that the “idea” of the “Original Contract” could be used to determine what policies for a society would be just. When Kant asks “What could people agree to?,” he is not trying to justify actions or policies by invoking, in any literal sense, the consent of the people. Only the consent of real people can be legitimating, and Kant talks about hypothetical agreements made by hypothetical people. But he does believe these make-believe agreements have moral force for us because the process by which these people reach agreement is morally revealing. Kant’s contracting process has been further developed by subsequent philosophers, such as Rawls, who concentrates on defining the hypothetical people who are supposed to make this agreement so that their reasoning will not be tarnished by immorality, injustice, or prejudice, thus ensuring that the outcome of their joint deliberations will be morally sound. Those contractarians who disagree with Rawls define the contracting parties in different ways, thereby getting different results. The Kantians’ social contract is therefore a device used in their theorizing to reveal what is just or what is moral. So like Hobbesians, their contract talk is really just a way of reasoning that allows us to work out conceptual answers to moral problems. But whereas the Hobbesians’ use of contract language expresses the fact that, on their view, morality is a human invention which (if it is well invented) ought to be mutually advantageous, the Kantians’ use of the contract language is meant to show that moral principles and conceptions are provable theorems derived from a morally revealing and authoritative reasoning process or “moral proof procedure” that makes use of the social contract idea. Both kinds of contractarian theory are individualistic, in the sense that they assume that moral and political policies must be justified with respect to, and answer the needs of, individuals. Accordingly, these theories have been criticized by communitarian philosophers, who argue that moral and political policies can and should be decided on the basis of what is best for a community. They are also attacked by utilitarian theorists, whose criterion of morality is the maximization of the utility of the community, and not the mutual satisfaction of the needs or preferences of individuals. Contractarians respond that whereas utilitarianism fails to take seriously the distinction between persons, contractarian theories make moral and political policies answerable to the legitimate interests and needs of individuals, which, contra the communitarians, they take to be the starting point of moral theorizing. contractarianism contractarianism 183 4065A-  AM  183  KANT, POLITICAL PHILOSOPHY, SOCIAL CONTRACT, SOCIAL PHILOSOPHY. J.Ham. contradiction.TRUTH TABLE. contradiction, pragmatic.PRAGMATIC CONTRADICTION. contradiction, principle of.PRINCIPLE OF CONTRADICTION. contradictories.SQUARE OF OPPOSITION. contraposition, the immediate logical operation on any categorical proposition that is accomplished by first forming the complements of both the subject term and the predicate term of that proposition and then interchanging these complemented terms. Thus, contraposition applied to the categorical proposition ‘All cats are felines’ yields ‘All non-felines are non-cats’, where ‘nonfeline’ and ‘non-cat’ are, respectively, the complements (or complementary terms) of ‘feline’ and ‘cat’. The result of applying contraposition to a categorical proposition is said to be the contrapositive of that proposition.  SQUARE OF OPPOSITION, SYLLOGISM. R.W.B. contrapositive.CONTRAPOSITION. contraries, any pair of propositions that cannot both be true but can both be false; derivatively, any pair of properties that cannot both apply to a thing but that can both fail to apply to a thing. Thus the propositions ‘This object is red all over’ and ‘This object is green all over’ are contraries, as are the properties of being red all over and being green all over. Traditionally, it was considered that the categorical A-proposition ‘All S’s are P’s’ and the categorical E-proposition ‘No S’s are P’s’ were contraries; but according to De Morgan and most subsequent logicians, these two propositions are both true when there are no S’s at all, so that modern logicians do not usually regard the categorical A- and E-propositions as being true contraries.  EXISTENTIAL IMPORT, SQUARE OF OPPOSITION, SYLLOGISM. R.W.B. contrary-to-duty imperative.DEONTIC PARADOXES. contrary-to-fact conditional.COUNTERFACTUALS. contravalid, designating a proposition P in a logical system such that every proposition in the system is a consequence of P. In most of the typical and familiar logical systems, contravalidity coincides with self-contradictoriness.  IMPLICATION. R.W.B. contributive value.VALUE. contributory value.VALUE. control, an apparently causal phenomenon closely akin to power and important for such topics as intentional action, freedom, and moral responsibility. Depending upon the control you had over the event, your finding a friend’s stolen car may or may not be an intentional action, a free action, or an action for which you deserve moral credit. Control seems to be a causal phenomenon. Try to imagine controlling a car, say, without causing anything. If you cause nothing, you have no effect on the car, and one does not control a thing on which one has no effect. But control need not be causally deterministic. Even if a genuine randomizer in your car’s steering mechanism gives you only a 99 percent chance of making turns you try to make, you still have considerable control in that sphere. Some philosophers claim that we have no control over anything if causal determinism is true. That claim is false. When you drive your car, you normally are in control of its speed and direction, even if our world happens to be deterministic.  DETERMINISM, FREE WILL PROBLEM, POWER. A.R.M. convention.LEWIS, DAVID. conventional implicature.IMPLICATURE. conventionalism, the philosophical doctrine that logical truth and mathematical truth are created by our choices, not dictated or imposed on us by the world. The doctrine is a more specific version of the linguistic theory of logical and mathematical truth, according to which the statements of logic and mathematics are true because of the way people use language. Of course, any statement owes its truth to some extent to facts about linguistic usage. For example, ‘Snow is white’ is true (in English) because of the facts that (1) ‘snow’ denotes snow, (2) ‘is white’ is true of white things, and (3) snow is white. What the linguistic theory asserts is that statements of logic and mathematics owe their truth entirely to the way people use language. Extralinguistic facts such as (3) are not relevant to the truth of such statements. Which aspects of linguistic usage produce logical truth contradiction conventionalism 184 4065A-  AM  184 and mathematical truth? The conventionalist answer is: certain linguistic conventions. These conventions are said to include rules of inference, axioms, and definitions. The idea that geometrical truth is truth we create by adopting certain conventions received support by the discovery of non-Euclidean geometries. Prior to this discovery, Euclidean geometry had been seen as a paradigm of a priori knowledge. The further discovery that these alternative systems are consistent made Euclidean geometry seem rejectable without violating rationality. Whether we adopt the Euclidean system or a non-Euclidean system seems to be a matter of our choice based on such pragmatic considerations as simplicity and convenience. Moving to number theory, conventionalism received a prima facie setback by the discovery that arithmetic is incomplete if consistent. For let S be an undecidable sentence, i.e., a sentence for which there is neither proof nor disproof. Suppose S is true. In what conventions does its truth consist? Not axioms, rules of inference, and definitions. For if its truth consisted in these items it would be provable. Suppose S is not true. Then its negation must be true. In what conventions does its truth consist? Again, no answer. It appears that if S is true or its negation is true and if neither S nor its negation is provable, then not all arithmetic truth is truth by convention. A response the conventionalist could give is that neither S nor its negation is true if S is undecidable. That is, the conventionalist could claim that arithmetic has truth-value gaps. As to logic, all truths of classical logic are provable and, unlike the case of number theory and geometry, axioms are dispensable. Rules of inference suffice. As with geometry, there are alternatives to classical logic. The intuitionist, e.g., does not accept the rule ‘From not-not-A infer A’. Even detachment – ’From A, if A then B, infer B’ – is rejected in some multivalued systems of logic. These facts support the conventionalist doctrine that adopting any set of rules of inference is a matter of our choice based on pragmatic considerations. But (the anti-conventionalist might respond) consider a simple logical truth such as ‘If Tom is tall, then Tom is tall’. Granted that this is provable by rules of inference from the empty set of premises, why does it follow that its truth is not imposed on us by extralinguistic facts about Tom? If Tom is tall the sentence is true because its consequent is true. If Tom is not tall the sentence is true because its antecedent is false. In either case the sentence owes its truth to facts about Tom.  MANY-VALUED LOGIC, PHILOSOPHY OF LOGIC, PHILOSOPHY OF MATHEMATICS, POINCARÉ. C.S. conventionalism, ethical.RELATIVISM. conventionalism, geometric.POINCARÉ. conventional sign.THEORY OF SIGNS. convention T, a criterion of material adequacy (of proposed truth definitions) discovered, formally articulated, adopted, and so named by Tarski in connection with his 1929 definition of the concept of truth in a formalized language. Convention T is one of the most important of several independent proposals Tarski made concerning philosophically sound and logically precise treatment of the concept of truth. Various of these proposals have been criticized, but convention T has remained virtually unchallenged and is regarded almost as an axiom of analytic philosophy. To say that a proposed definition of an established concept is materially adequate is to say that it is “neither too broad nor too narrow,” i.e., that the concept it characterizes is coextensive with the established concept. Since, as Tarski emphasized, for many formalized languages there are no criteria of truth, it would seem that there can be no general criterion of material adequacy of truth definitions. But Tarski brilliantly finessed this obstacle by discovering a specification that is fulfilled by the established correspondence concept of truth and that has the further property that any two concepts fulfilling it are necessarily coextensive. Basically, convention T requires that to be materially adequate a proposed truth definition must imply all of the infinitely many relevant Tarskian biconditionals; e.g., the sentence ‘Some perfect number is odd’ is true if and only if some perfect number is odd. Loosely speaking, a Tarskian biconditional for English is a sentence obtained from the form ‘The sentence ——— is true if and only if ——’ by filling the right blank with a sentence and filling the left blank with a name of the sentence. Tarski called these biconditionals “equivalences of the form T” and referred to the form as a “scheme.” Later writers also refer to the form as “schema T.”  FORMAL SEMANTICS, GÖDEL’S INCOMPLETENESS THEOREMS, MATERIAL ADEQUACY, SATISFACTION, TARSKI, TRUTH. J.Cor. convergence.PHILOSOPHY OF SCIENCE. conversational implicature.IMPLICATURE. conventionalism, ethical conversational implicature 185 4065A-  AM  185 converse. (1) Narrowly, the result of the immediate logical operation called conversion on any categorical proposition, accomplished by interchanging the subject term and the predicate term of that proposition. Thus, the converse of the categorical proposition ‘All cats are felines’ is ‘All felines are cats’. (2) More broadly, the proposition obtained from a given ‘if . . . then . . .’ (conditional) proposition by interchanging the antecedent and the consequent clauses, i.e., the propositions following the ‘if’ and the ‘then’, respectively; also, the argument obtained from an argument of the form ‘P; therefore Q’ by interchanging the premise and the conclusion.  RELATION. R.W.B. converse, outer and inner, respectively, the result of “converting” the two “terms” or the relation verb of a relational sentence. The outer converse of ‘Abe helps Ben’ is ‘Ben helps Abe’ and the inner converse is ‘Abe is helped by Ben’. In simple, or atomic, sentences the outer and inner converses express logically equivalent propositions, and thus in these cases no informational ambiguity arises from the adjunction of ‘and conversely’ or ‘but not conversely’, despite the fact that such adjunction does not indicate which, if either, of the two converses intended is meant. However, in complex, or quantified, relational sentences such as ‘Every integer precedes some integer’ genuine informational ambiguity is produced. Under normal interpretations of the respective sentences, the outer converse expresses the false proposition that some integer precedes every integer, the inner converse expresses the true proposition that every integer is preceded by some integer. More complicated considerations apply in cases of quantified doubly relational sentences such as ‘Every integer precedes every integer exceeding it’. The concept of scope explains such structural ambiguity: in the sentence ‘Every integer precedes some integer and conversely’, ‘conversely’ taken in the outer sense has wide scope, whereas taken in the inner sense it has narrow scope.  AMBIGUITY, CONVERSE, RELATION, SCOPE. J. Cor. converse domain.RELATION. converse relation.RELATION. conversion.CONVERSE. Conway, Anne (c.1630–79), English philosopher whose Principia philosophiae antiquissimae et recentissimae (1690; English translation, The Principles of the Most Ancient and Modern Philosophy, 1692) proposes a monistic ontology in which all created things are modes of one spiritual substance emanating from God. This substance is made up of an infinite number of hierarchically arranged spirits, which she calls monads. Matter is congealed spirit. Motion is conceived not dynamically but vitally. Lady Conway’s scheme entails a moral explanation of pain and the possibility of universal salvation. She repudiates the dualism of both Descartes and her teacher, Henry More, as well as the materialism of Hobbes and Spinoza. The work shows the influence of cabalism and affinities with the thought of the mentor of her last years, Francis Mercurius van Helmont, through whom her philosophy became known to Leibniz. S.H. Cook Wilson, John.WILSON. coordination problem.SOCIAL CHOICE THEORY. coordinative definition.DEFINITION. Copernican revolution.KANT. copula, in logic, a form of the verb ‘to be’ that joins subject and predicate in singular and categorical propositions. In ‘George is wealthy’ and ‘Swans are beautiful’, e.g., ‘is’ and ‘are’, respectively, are copulas. Not all occurrences of forms of ‘be’ count as copulas. In sentences such as ‘There are 51 states’, ‘are’ is not a copula, since it does not join a subject and a predicate, but occurs simply as a part of the quantifier term ‘there are’.  DEFINITION, INTENSION, MEANING. V.K. copulatio.PROPRIETATES TERMINORUM. Cordemoy, Géraud de (1626–84), French philosopher and member of the Cartesian school. His most important work is his Le discernement du corps et de l’âme en six discours, published in 1666 and reprinted (under slightly different titles) a number of times thereafter. Also important are the Discours physique de la parole (1668), a Cartesian theory of language and communication; and Une lettre écrite à un sçavant religieux (1668), a defense of Descartes’s orthodoxy on certain questions in natural philosophy. Cordemoy also wrote a history of France, left incomplete at his death. Like Descartes, Cordemoy advocated a mechanistic physics explaining physical phenomena in terms of size, shape, and local motion, and converse Cordemoy, Géraud de 186 4065A-  AM  186 held that minds are incorporeal thinking substances. Like most Cartesians, Cordemoy also advocated a version of occasionalism. But unlike other Cartesians, he argued for atomism and admitted the void. These innovations were not welcomed by other members of the Cartesian school. But Cordemoy is often cited by later thinkers, such as Leibniz, as an important seventeenth-century advocate of atomism.  OCCASIONALISM. D.Garb. corner quotes.CORNERS. corners, also called corner quotes, quasi-quotes, a notational device (] ^) introduced by Quine (Mathematical Logic, 1940) to provide a conveniently brief way of speaking generally about unspecified expressions of such and such kind. For example, a logician might want a conveniently brief way of saying in the metalanguage that the result of writing a wedge ‘7’ (the dyadic logical connective for a truth-functional use of ‘or’) between any two well-formed formulas (wffs) in the object language is itself a wff. Supposing the Greek letters ‘f’ and ‘y’ available in the metalanguage as variables ranging over wffs in the object language, it is tempting to think that the formation rule stated above can be succinctly expressed simply by saying that if f and y are wffs, then ‘f 7 y’ is a wff. But this will not do, for ‘f 7 y’ is not a wff. Rather, it is a hybrid expression of two variables of the metalanguage and a dyadic logical connective of the object language. The problem is that putting quotation marks around the Greek letters merely results in designating those letters themselves, not, as desired, in designating the context of the unspecified wffs. Quine’s device of corners allows one to transcend this limitation of straight quotation since quasi-quotation, e.g., ]f 7 y^, amounts to quoting the constant contextual background, ‘# 7 #’, and imagining the unspecified expressions f and y written in the blanks.  USE– MENTION DISTINCTION. R.F.G. corrective justice.JUSTICE. correlativity.POLARITY, RIGHTS. correspondence theory of truth.TRUTH. corresponding conditional(of a given argument), any conditional whose antecedent is a (logical) conjunction of all of the premises of the argument and whose consequent is the conclusion. The two conditionals, ‘if Abe is Ben and Ben is wise, then Abe is wise’ and ‘if Ben is wise and Abe is Ben, then Abe is wise’, are the two corresponding conditionals of the argument whose premises are ‘Abe is Ben’ and ‘Ben is wise’ and whose conclusion is ‘Abe is wise’. For a one-premise argument, the corresponding conditional is the conditional whose antecedent is the premise and whose consequent is the conclusion. The limiting cases of the empty and infinite premise sets are treated in different ways by different logicians; one simple treatment considers such arguments as lacking corresponding conditionals. The principle of corresponding conditionals is that in order for an argument to be valid it is necessary and sufficient for all its corresponding conditionals to be tautological. The commonly used expression ‘the corresponding conditional of an argument’ is also used when two further stipulations are in force: first, that an argument is construed as having an (ordered) sequence of premises rather than an (unordered) set of premises; second, that conjunction is construed as a polyadic operation that produces in a unique way a single premise from a sequence of premises rather than as a dyadic operation that combines premises two by two. Under these stipulations the principle of the corresponding conditional is that in order for an argument to be valid it is necessary and sufficient for its corresponding conditional to be valid. These principles are closely related to modus ponens, to conditional proof, and to the so-called deduction theorem.  ARGUMENT, CONDITIONAL, CONDITIONAL PROOF, LIMITING CASE, MODUS PONENS, PROPOSITION, TAUTOLOGY. J.Cor. corrigibility.PRIVILEGED ACCESS. cosmological argument.PHILOSOPHY OF RELIGION. cosmology.METAPHYSICS. cost–benefit analysis.DECISION THEORY. countable.SET THEORY. counterdomain.RELATION. counterexample.COUNTERINSTANCE. counterfactual analysis of causation.CAUSATION. counterfactuals, also called contrary-to-fact conditionals, subjunctive conditionals that presupcorner quotes counterfactuals 187 4065A-  AM  187 pose the falsity of their antecedents, such as ‘If Hitler had invaded England, Germany would have won’ and ‘If I were you, I’d run’. Conditionals (or hypothetical statements) are compound statements of the form ‘If p, (then) q’, or equivalently ‘q if p’. Component p is described as the antecedent (protasis) and q as the consequent (apodosis). A conditional like ‘If Oswald did not kill Kennedy, then someone else did’ is called indicative, because both the antecedent and consequent are in the indicative mood. One like ‘If Oswald had not killed Kennedy, then someone else would have’ is subjunctive. Many subjunctive and all indicative conditionals are open, presupposing nothing about the antecedent. Unlike ‘If Bob had won, he’d be rich’, neither ‘If Bob should have won, he would be rich’ nor ‘If Bob won, he is rich’ implies that Bob did not win. Counterfactuals presuppose, rather than assert, the falsity of their antecedents. ‘If Reagan had been president, he would have been famous’ seems inappropriate and out of place, but not false, given that Reagan was president. The difference between counterfactual and open subjunctives is less important logically than that between subjunctives and indicatives. Whereas the indicative conditional about Kennedy is true, the subjunctive is probably false. Replace ‘someone’ with ‘no one’ and the truth-values reverse. The most interesting logical feature of counterfactuals is that they are not truth-functional. A truth-functional compound is one whose truth-value is completely determined in every possible case by the truth-values of its components. For example, the falsity of ‘The President is a grandmother’ and ‘The President is childless’ logically entails the falsity of ‘The President is a grandmother and childless’: all conjunctions with false conjuncts are false. But whereas ‘If the President were a grandmother, the President would be childless’ is false, other counterfactuals with equally false components are true, such as ‘If the President were a grandmother, the President would be a mother’. The truth-value of a counterfactual is determined in part by the specific content of its components. This property is shared by indicative and subjunctive conditionals generally, as can be seen by varying the wording of the example. In marked contrast, the material conditional, p / q, of modern logic, defined as meaning that either p is false or q is true, is completely truth-functional. ‘The President is a grandmother / The President is childless’ is just as true as ‘The President is a grandmother / The President is a mother’. While stronger than the material conditional, the counterfactual is weaker than the strict conditional, p U q, of modern modal logic, which says that p / q is necessarily true. ‘If the switch had been flipped, the light would be on’ may in fact be true even though it is possible for the switch to have been flipped without the light’s being on because the bulb could have burned out. The fact that counterfactuals are neither strict nor material conditionals generated the problem of counterfactual conditionals (raised by Chisholm and Goodman): What are the truth conditions of a counterfactual, and how are they determined by its components? According to the “metalinguistic” approach, which resembles the deductive-nomological model of explanation, a counterfactual is true when its antecedent conjoined with laws of nature and statements of background conditions logically entails its consequent. On this account, ‘If the switch had been flipped the light would be on’ is true because the statement that the switch was flipped, plus the laws of electricity and statements describing the condition and arrangement of the circuitry, entail that the light is on. The main problem is to specify which facts are “fixed” for any given counterfactual and context. The background conditions cannot include the denials of the antecedent or the consequent, even though they are true, nor anything else that would not be true if the antecedent were. Counteridenticals, whose antecedents assert identities, highlight the difficulty: the background for ‘If I were you, I’d run’ must include facts about my character and your situation, but not vice versa. Counterlegals like ‘Newton’s laws would fail if planets had rectangular orbits’, whose antecedents deny laws of nature, show that even the set of laws cannot be all-inclusive. Another leading approach (pioneered by Robert C. Stalnaker and David K. Lewis) extends the possible worlds semantics developed for modal logic, saying that a counterfactual is true when its consequent is true in the nearest possible world in which the antecedent is true. The counterfactual about the switch is true on this account provided a world in which the switch was flipped and the light is on is closer to the actual world than one in which the switch was flipped but the light is not on. The main problem is to specify which world is nearest for any given counterfactual and context. The difference between indicative and subjunctive conditionals can be accounted for in terms of either a different set of background conditions or a different measure of nearness. counterfactuals counterfactuals 188 4065A-  AM  188 Counterfactuals turn up in a variety of philosophical contexts. To distinguish laws like ‘All copper conducts’ from equally true generalizations like ‘Everything in my pocket conducts’, some have observed that while anything would conduct if it were copper, not everything would conduct if it were in my pocket. And to have a disposition like solubility, it does not suffice to be either dissolving or not in water: it must in addition be true that the object would dissolve if it were in water. It has similarly been suggested that one event is the cause of another only if the latter would not have occurred if the former had not; that an action is free only if the agent could or would have done otherwise if he had wanted to; that a person is in a particular mental state only if he would behave in certain ways given certain stimuli; and that an action is right only if a completely rational and fully informed agent would choose it.  CAUSATION, POSSIBLE WORLDS. W.A.D. counteridenticals.COUNTERFACTUALS. counterinstance, also called counterexample. (1) A particular instance of an argument form that has all true premises but a false conclusion, thereby showing that the form is not universally valid. The argument form ‘p 7 q, - p / , ~q’, for example, is shown to be invalid by the counterinstance ‘Grass is either red or green; Grass is not red; Therefore, grass is not green’. (2) A particular false instance of a statement form, which demonstrates that the form is not a logical truth. A counterinstance to the form ‘(p 7 q) / p’, for example, would be the statement ‘If grass is either red or green, then grass is red’. (3) A particular example that demonstrates that a universal generalization is false. The universal statement ‘All large cities in the United States are east of the Mississippi’ is shown to be false by the counterinstance of San Francisco, which is a large city in the United States that is not east of the Mississippi. V.K. counterpart theory, a theory that analyzes statements about what is possible and impossible for individuals (statements of de re modality) in terms of what holds of counterparts of those individuals in other possible worlds, a thing’s counterparts being individuals that resemble it without being identical with it. (The name ‘counterpart theory’ was coined by David Lewis, the theory’s principal exponent.) Whereas some theories analyze ‘Mrs. Simpson might have been queen of England’ as ‘In some possible world, Mrs. Simpson is queen of England’, counterpart theory analyzes it as ‘In some possible world, a counterpart of Mrs. Simpson is queen of (a counterpart of) England’. The chief motivation for counterpart theory is a combination of two views: (a) de re modality should be given a possible worlds analysis, and (b) each actual individual exists only in the actual world, and hence cannot exist with different properties in other possible worlds. Counterpart theory provides an analysis that allows ‘Mrs. Simpson might have been queen’ to be true compatibly with (a) and (b). For Mrs. Simpson’s counterparts in other possible worlds, in those worlds where she herself does not exist, may have regal properties that the actual Mrs. Simpson lacks. Counterpart theory is perhaps prefigured in Leibniz’s theory of possibility.  COUNTERFACTUALS, POSSIBLE WORLDS. P.Mac. count noun, a noun that can occur syntactically (a) with quantifiers ‘each’, ‘every’, ‘many’, ‘few’, ‘several’, and numerals; (b) with the indefinite article, ‘a(n)’; and (c) in the plural form. The following are examples of count nouns (CNs), paired with semantically similar mass nouns (MNs): ‘each dollar / silver’, ‘one composition / music’, ‘a bed / furniture’, ‘instructions / advice’. MNs but not CNs can occur with the quantifiers ‘much’ and ‘little’: ‘much poetry / poem(s)’, ‘little bread / loaf’. Both CNs and MNs may occur with ‘all’, ‘most’, and ‘some’. Semantically, CNs but not MNs refer distributively, providing a counting criterion. It makes sense to ask how many CNs?: ‘How many coins / gold?’ MNs but not CNs refer collectively. It makes sense to ask how much MN?: ‘How much gold / coins?’ One problem is that these syntactic and semantic criteria yield different classifications; another problem is to provide logical forms and truth conditions for sentences containing mass nouns.  DISTRIBUTION, MEANING, SORTAL PREDICATE. W.K.W. courage.CARDINAL VIRTUES. Cournot, Antoine-Augustin (1801–77), French mathematician and economist. A critical realist in scientific and philosophical matters, he was a conservative in religion and politics. His Researches into the Mathematical Principles of the Theory of Wealth (1838), though a fiasco at the time, pioneered mathematical economics. Cournot upheld a position midway between science and metaphysics. His philosophy rests on three basic counteridenticals Cournot, Antoine-Augustin 189 4065A-  AM  189 concepts: order, chance, and probability. The Exposition of the Theory of Chances and Probabilities (1843) focuses on the calculus of probability, unfolds a theory of chance occurrences, and distinguishes among objective, subjective, and philosophical probability. The Essay on the Foundations of Knowledge (1861) defines science as logically organized knowledge. Cournot developed a probabilist epistemology, showed the relevance of probabilism to the scientific study of human acts, and further assumed the existence of a providential and complex order undergirding the universe. Materialism, Vitalism, Rationalism (1875) acknowledges transrationalism and makes room for finality, purpose, and God. J.L.S. Cousin, Victor (1792–1867), French philosopher who set out to merge the French psychological tradition with the pragmatism of Locke and Condillac and the inspiration of the Scottish (Reid, Stewart) and German idealists (Kant, Hegel). His early courses at the Sorbonne (1815– 18), on “absolute” values that might overcome materialism and skepticism, aroused immense enthusiasm. The course of 1818, Du Vrai, du Beau et du Bien (Of the True, the Beautiful, and the Good), is preserved in the Adolphe Garnier edition of student notes (1836); other early texts appeared in the Fragments philosophiques (Philosophical Fragments, 1826). Dismissed from his teaching post as a liberal (1820), arrested in Germany at the request of the French police and detained in Berlin, he was released after Hegel intervened (1824); he was not reinstated until 1828. Under Louis-Philippe, he rose to highest honors, became minister of education, and introduced philosophy into the curriculum. His eclecticism, transformed into a spiritualism and cult of the “juste milieu,” became the official philosophy. Cousin rewrote his work accordingly and even succeeded in having Du Vrai (third edition, 1853) removed from the papal index. In 1848 he was forced to retire. He is noted for his educational reforms, as a historian of philosophy, and for his translations (Proclus, Plato), editions (Descartes), and portraits of ladies of seventeenth-century society. O.A.H. Couturat, Louis (1868–1914), French philosopher and logician who wrote on the history of philosophy, logic, philosophy of mathematics, and the possibility of a universal language. Couturat refuted Renouvier’s finitism and advocated an actual infinite in The Mathematical Infinite (1896). He argued that the assumption of infinite numbers was indispensable to maintain the continuity of magnitudes. He saw a precursor of modern logistic in Leibniz, basing his interpretation of Leibniz on the Discourse on Metaphysics and Leibniz’s correspondence with Arnauld. His epoch-making Leibniz’s Logic (1901) describes Leibniz’s metaphysics as panlogism. Couturat published a study on Kant’s mathematical philosophy (Revue de Métaphysique, 1904), and defended Peano’s logic, Whitehead’s algebra, and Russell’s logistic in The Algebra of Logic (1905). He also contributed to André Lalande’s Vocabulaire technique et critique de la philosophie (1926). J.-L.S. covering law model, the view of scientific explanation as a deductive argument which contains non-vacuously at least one universal law among its premises. The names of this view include ‘Hempel’s model’, ‘Hempel-Oppenheim (HO) model’, ‘Popper-Hempel model’, ‘deductivenomological (D-N) model’, and the ‘subsumption theory’ of explanation. The term ‘covering law model of explanation’ was proposed by William Dray. The theory of scientific explanation was first developed by Aristotle. He suggested that science proceeds from mere knowing that to deeper knowing why by giving understanding of different things by the four types of causes. Answers to why-questions are given by scientific syllogisms, i.e., by deductive arguments with premises that are necessarily true and causes of their consequences. Typical examples are the “subsumptive” arguments that can be expressed by the Barbara syllogism: All ravens are black. Jack is a raven. Therefore, Jack is black. Plants containing chlorophyll are green. Grass contains chlorophyll. Therefore, grass is green. In modern logical notation, An explanatory argument was later called in Greek synthesis, in Latin compositio or demonstratio propter quid. After the seventeenth century, the Cousin, Victor covering law model 190 4065A-  AM  190 terms ‘explication’ and ‘explanation’ became commonly used. The nineteenth-century empiricists accepted Hume’s criticism of Aristotelian essences and necessities: a law of nature is an extensional statement that expresses a uniformity, i.e., a constant conjunction between properties (‘All swans are white’) or types of events (‘Lightning is always followed by thunder’). Still, they accepted the subsumption theory of explanation: “An individual fact is said to be explained by pointing out its cause, that is, by stating the law or laws of causation, of which its production is an instance,” and “a law or uniformity in nature is said to be explained when another law or laws are pointed out, of which that law itself is but a case, and from which it could be deduced” (J. S. Mill). A general model of probabilistic explanation, with deductive explanation as a specific case, was given by Peirce in 1883. A modern formulation of the subsumption theory was given by Hempel and Paul Oppenheim in 1948 by the following schema of D-N explanation: Explanandum E is here a sentence that describes a known particular event or fact (singular explanation) or uniformity (explanation of laws). Explanation is an argument that answers an explanation-seeking why-question ‘Why E?’ by showing that E is nomically expectable on the basis of general laws (r M 1) and antecedent conditions. The relation between the explanans and the explanandum is logical deduction. Explanation is distinguished from other kinds of scientific systematization (prediction, postdiction) that share its logical characteristics – a view often called the symmetry thesis regarding explanation and prediction – by the presupposition that the phenomenon E is already known. This also separates explanations from reason-seeking arguments that answer questions of the form ‘What reasons are there for believing that E?’ Hempel and Oppenheim required that the explanans have empirical content, i.e., be testable by experiment or observation, and it must be true. If the strong condition of truth is dropped, we speak of potential explanation. Dispositional explanations, for non-probabilistic dispositions, can be formulated in the D-N model. For example, let Hx % ‘x is hit by hammer’, Bx % ‘x breaks’, and Dx % ‘x is fragile’. Then the explanation why a piece of glass was broken may refer to its fragility and its being hit: It is easy to find examples of HO explanations that are not satisfactory: self-explanations (‘Grass is green, because grass is green’), explanations with too weak premises (‘John died, because he had a heart attack or his plane crashed’), and explanations with irrelevant information (‘This stuff dissolves in water, because it is sugar produced in Finland’). Attempts at finding necessary and sufficient conditions in syntactic and semantic terms for acceptable explanations have not led to any agreement. The HO model also needs the additional Aristotelian condition that causal explanation is directed from causes to effects. This is shown by Sylvain Bromberger’s flagpole example: the length of a flagpole explains the length of its shadow, but not vice versa. Michael Scriven has argued against Hempel that explanations of particular events should be given by singular causal statements ‘E because C’. However, a regularity theory (Humean or stronger than Humean) of causality implies that the truth of such a singular causal statement presupposes a universal law of the form ‘Events of type C are universally followed by events of type E’. The HO version of the covering law model can be generalized in several directions. The explanans may contain probabilistic or statistical laws. The explanans-explanandum relation may be inductive (in this case the explanation itself is inductive). This gives us four types of explanations: deductive-universal (i.e., D-N), deductiveprobabilistic, inductive-universal, and inductiveprobabilistic (I-P). Hempel’s 1962 model for I-P explanation contains a probabilistic covering law P(G/F) % r, where r is the statistical probability of G given F, and r in brackets is the inductive probability of the explanandum given the explanans: The explanation-seeking question may be weakened from ‘Why necessarily E?’ to ‘How possibly E?’. In a corrective explanation, the explanatory answer points out that the explanandum sencovering law model covering law model 191 4065A-  AM  191 tence E is not strictly true. This is the case in approximate explanation (e.g., Newton’s theory entails a corrected form of Galileo’s and Kepler’s laws).  CAUSATION, EXPLANATION, GRUE PARADOX, PHILOSOPHY OF SCIENCE. I.N. Craig reduct.CRAIG’S INTERPOLATION THEOREM. Craig’s interpolation theorem, a theorem for firstorder logic: if a sentence y of first-order logic entails a sentence q there is an “interpolant,” a sentence F in the vocabulary common to q and y that entails q and is entailed by y. Originally, William Craig proved his theorem in 1957 as a lemma, to give a simpler proof of Beth’s definability theorem, but the result now stands on its own. In abstract model theory, logics for which an interpolation theorem holds are said to have the Craig interpolation property. Craig’s interpolation theorem shows that first-order logic is closed under implicit definability, so that the concepts embodied in first-order logic are all given explicitly. In the philosophy of science literature ‘Craig’s theorem’ usually refers to another result of Craig’s: that any recursively enumerable set of sentences of first-order logic can be axiomatized. This has been used to argue that theoretical terms are in principle eliminable from empirical theories. Assuming that an empirical theory can be axiomatized in first-order logic, i.e., that there is a recursive set of first-order sentences from which all theorems of the theory can be proven, it follows that the set of consequences of the axioms in an “observational” sublanguage is a recursively enumerable set. Thus, by Craig’s theorem, there is a set of axioms for this subtheory, the Craig-reduct, that contains only observation terms. Interestingly, the Craig-reduct theory may be semantically weaker, in the sense that it may have models that cannot be extended to a model of the full theory. The existence of such a model would prove that the theoretical terms cannot all be defined on the basis of the observational vocabulary only, a result related to Beth’s definability theorem.  BETH’S DEFINABILITY THEOREM, PROOF THEORY. Z.G.S. Craig’s theorem.CRAIG’S INTERPOLATION THEOREM. Crates of Thebes.CYNICS. Crates the Cynic.CYNICS. Cratylus of Athens.HERACLITUS. Cratylus Zeyl.PRE-SOCRATICS. creation ex nihilo, the act of bringing something into existence from nothing. According to traditional Christian theology, God created the world ex nihilo. To say that the world was created from nothing does not mean that there was a prior non-existent substance out of which it was fashioned, but rather that there was not anything out of which God brought it into being. However, some of the patristics influenced by Plotinus, such as Gregory of Nyssa, apparently understood creation ex nihilo to be an emanation from God according to which what is created comes, not from nothing, but from God himself. Not everything that God makes need be created ex nihilo; or if, as in Genesis 2: 7, 19, God made a human being and animals from the ground, a previously existing material, God did not create them from nothing. Regardless of how bodies are made, orthodox theology holds that human souls are created ex nihilo; the opposing view, traducianism, holds that souls are propagated along with bodies.  GREGORY OF NYSSA, PHILOSOPHY OF RELIGION, PLOTINUS. E.R.W. creationism, acceptance of the early chapters of Genesis taken literally. Genesis claims that the universe and all of its living creatures including humans were created by God in the space of six days. The need to find some way of reconciling this story with the claims of science intensified in the nineteenth century, with the publication of Darwin’s Origin of Species (1859). In the Southern states of the United States, the indigenous form of evangelical Protestant Christianity declared total opposition to evolutionism, refusing any attempt at reconciliation, and affirming total commitment to a literal “creationist” reading of the Bible. Because of this, certain states passed laws banning the teaching of evolutionism. More recently, literalists have argued that the Bible can be given full scientific backing, and they have therefore argued that “Creation science” may properly be taught in state-supported schools in the United States without violation of the constitutional separation of church and state. This claim was challenged in the state of Arkansas in 1981, and ultimately rejected by the U.S. Supreme Court. The creationism dispute has raised some issues of philosophical interest and importance. Most obviously, there is the question of what constitutes a genuine science. Is there an adequate criCraig reduct creationism 192 4065A-  AM  192 terion of demarcation between science and nonscience, and will it put evolutionism on the one side and creationism on the other? Some philosophers, arguing in the spirit of Karl Popper, think that such a criterion can be found. Others are not so sure; and yet others think that some such criterion can be found, but shows creationism to be genuine science, albeit already proven false. Philosophers of education have also taken an interest in creationism and what it represents. If one grants that even the most orthodox science may contain a value component, reflecting and influencing its practitioners’ culture, then teaching a subject like biology almost certainly is not a normatively neutral enterprise. In that case, without necessarily conceding to the creationist anything about the true nature of science or values, perhaps one must agree that science with its teaching is not something that can and should be set apart from the rest of society, as an entirely distinct phenomenon.  DARWINISM, PHILOSOPHY OF BIOLOGY, PHILOSOPHY OF RELIGION, PHILOSOPHY OF SCIENCE, TESTABILITY. M.Ru. creationism, theological.PREEXISTENCE. credibility.CARNAP. Crescas, Hasdai (d.1412), Spanish Jewish philosopher, theologian, and statesman. He was a well-known representative of the Jewish community in both Barcelona and Saragossa. Following the death of his son in the anti-Jewish riots of 1391, he wrote a chronicle of the massacres (published as an appendix to Ibn Verga, Shevet Yehudah, ed. M. Wiener, 1855). Crescas’s devotion to protecting Spanish Jewry in a time when conversion was encouraged is documented in one extant work, the Refutation of Christian Dogmas (1397–98), found in the 1451 Hebrew translation of Joseph ibn Shem Tov (Bittul ’Iqqarey ha-Nofrim). His major philosophical work, Or Adonai (The Light of the Lord), was intended as the first of a two-part project that was to include his own more extensive systematization of halakha (Jewish law) as well as a critique of Maimonides’ work. But this second part, “Lamp of the Divine Commandment,” was never written. Or Adonai is a philosophico-dogmatic response to and attack on the Aristotelian doctrines that Crescas saw as a threat to the Jewish faith, doctrines concerning the nature of God, space, time, place, free will, and infinity. For theological reasons he attempts to refute basic tenets in Aristotelian physics. He offers, e.g., a critique of Aristotle’s arguments against the existence of a vacuum. The Aristotelian view of time is rejected as well. Time, like space, is thought by Crescas to be infinite. Furthermore, it is not an accident of motion, but rather exists only in the soul. In defending the fundamental doctrines of the Torah, Crescas must address the question discussed by his predecessors Maimonides and Gersonides, namely that of reconciling divine foreknowledge with human freedom. Unlike these two thinkers, Crescas adopts a form of determinism, arguing that God knows both the possible and what will necessarily take place. An act is contingent with respect to itself, and necessary with respect to its causes and God’s knowledge. To be willed freely, then, is not for an act to be absolutely contingent, but rather for it to be “willed internally” as opposed to “willed externally.” Reactions to Crescas’s doctrines were mixed. Isaac Abrabanel, despite his respect for Crescas’s piety, rejected his views as either “unintelligible” or “simple-minded.” On the other hand, Giovanni Pico della Mirandola appeals to Crescas’s critique of Aristotelian physics; Judah Abrabanel’s Dialogues of Love may be seen as accommodating Crescas’s metaphysical views; and Spinoza’s notions of necessity, freedom, and extension may well be influenced by the doctrines of Or Adonai.  GERSONIDES, MAIMONIDES. T.M.R. criteriological connection.CRITERION. criteriology.MERCIER. criterion, broadly, a sufficient condition for the presence of a certain property or for the truth of a certain proposition. Generally, a criterion need be sufficient merely in normal circumstances rather than absolutely sufficient. Typically, a criterion is salient in some way, often by virtue of being a necessary condition as well as a sufficient one. The plural form, ‘criteria’, is commonly used for a set of singly necessary and jointly sufficient conditions. A set of truth conditions is said to be criterial for the truth of propositions of a certain form. A conceptual analysis of a philosophically important concept may take the form of a proposed set of truth conditions for paradigmatic propositions containing the concept in question. Philosophers have proposed criteria for such notions as meaningfulness, intentionality, creationism, theological criterion 193 4065A-  AM  193 knowledge, justification, justice, rightness, and identity (including personal identity and event identity), among many others. There is a special use of the term in connection with Wittgenstein’s well-known remark that “an ‘inner process’ stands in need of outward criteria,” e.g., moans and groans for aches and pains. The suggestion is that a criteriological connection is needed to forge a conceptual link between items of a sort that are intelligible and knowable to items of a sort that, but for the connection, would not be intelligible or knowable. A mere symptom cannot provide such a connection, for establishing a correlation between a symptom and that for which it is a symptom presupposes that the latter is intelligible and knowable. One objection to a criteriological view, whether about aches or quarks, is that it clashes with realism about entities of the sort in question and lapses into, as the case may be, behaviorism or instrumentalism. For it seems that to posit a criteriological connection is to suppose that the nature and existence of entities of a given sort can depend on the conditions for their intelligibility or knowability, and that is to put the epistemological cart before the ontological horse.  PROBLEM OF THE CRITERION. K.B. criterion, problem of the.PROBLEM OF THE CRITERION. Critical idealism.KANT. critical legal studies, a loose assemblage of legal writings and thinkers in the United States and Great Britain since the mid-1970s that aspire to a jurisprudence and a political ideology. Like the American legal realists of the 1920s and 1930s, the jurisprudential program is largely negative, consisting in the discovery of supposed contradictions within both the law as a whole and areas of law such as contracts and criminal law. The jurisprudential implication derived from such supposed contradictions within the law is that any decision in any case can be defended as following logically from some authoritative propositions of law, making the law completely without guidance in particular cases. Also like the American legal realists, the political ideology of critical legal studies is vaguely leftist, embracing the communitarian critique of liberalism. Communitarians fault liberalism for its alleged overemphasis on individual rights and individual welfare at the expense of the intrinsic value of certain collective goods. Given the cognitive relativism of many of its practitioners, critical legal studies tends not to aspire to have anything that could be called a theory of either law or of politics. 
JURISPRUDENCE, PHILOSOPHY OF LAW, POLITICAL PHILOSOPHY. M.S.M. critical philosophy.
BROAD, KANT. Critical Realism, a philosophy that at the highest level of generality purports to integrate the positive insights of both New Realism and idealism. New Realism was the first wave of realistic reaction to the dominant idealism of the nineteenth century. It was a version of immediate and direct realism. In its attempt to avoid any representationalism that would lead to idealism, this tradition identified the immediate data of consciousness with objects in the physical world. There is no intermediary between the knower and the known. This heroic tour de force foundered on the phenomena of error, illusion, and perceptual variation, and gave rise to a successor realism – Critical Realism – that acknowledged the mediation of “the mental” in our cognitive grasp of the physical world. ’Critical Realism’ was the title of a work in epistemology by Roy Wood Sellars (1916), but its more general use to designate the broader movement derives from the 1920 cooperative volume, Essays in Critical Realism: A Cooperative Study of the Problem of Knowledge, containing position papers by Durant Drake, A. O. Lovejoy, J. B. Pratt, A. K. Rogers, C. A. Strong, George Santayana, and Roy Wood Sellars. With New Realism, Critical Realism maintains that the primary object of knowledge is the independent physical world, and that what is immediately present to consciousness is not the physical object as such, but some corresponding mental state broadly construed. Whereas both New Realism and idealism grew out of the conviction that any such mediated account of knowledge is untenable, the Critical Realists felt that only if knowledge of the external world is explained in terms of a process of mental mediation, can error, illusion, and perceptual variation be accommodated. One could fashion an account of mental mediation that did not involve the pitfalls of Lockean representationalism by carefully distinguishing between the object known and the mental state through which it is known. The Critical Realists differed among themselves both epistemologically and metaphysically. The mediating elements in cognition were variously construed as essences, ideas, or sensedata, and the precise role of these items in cognicriterion, problem of the Critical Realism 194 4065A-  AM  194 tion was again variously construed. Metaphysically, some were dualists who saw knowledge as unexplainable in terms of physical processes, whereas others (principally Santayana and Sellars) were materialists who saw cognition as simply a function of conscious biological systems. The position of most lasting influence was probably that of Sellars because that torch was taken up by his son, Wilfrid, whose very sophisticated development of it was quite influential. 
IDEALISM; METAPHYSICAL REALISM; NEW REALISM; PERCEPTION; SELLARS, WILFRID. C.F.D. critical theory, any social theory that is at the same time explanatory, normative, practical, and self-reflexive. The term was first developed by Horkheimer as a self-description of the Frankfurt School and its revision of Marxism. It now has a wider significance to include any critical, theoretical approach, including feminism and liberation philosophy. When they make claims to be scientific, such approaches attempt to give rigorous explanations of the causes of oppression, such as ideological beliefs or economic dependence; these explanations must in turn be verified by empirical evidence and employ the best available social and economic theories. Such explanations are also normative and critical, since they imply negative evaluations of current social practices. The explanations are also practical, in that they provide a better self-understanding for agents who may want to improve the social conditions that the theory negatively evaluates. Such change generally aims at “emancipation,” and theoretical insight empowers agents to remove limits to human freedom and the causes of human suffering. Finally, these theories must also be self-reflexive: they must account for their own conditions of possibility and for their potentially transformative effects. These requirements contradict the standard account of scientific theories and explanations, particularly positivism and its separation of fact and value. For this reason, the methodological writings of critical theorists often attack positivism and empiricism and attempt to construct alternative epistemologies. Critical theorists also reject relativism, since the cultural relativity of norms would undermine the basis of critical evaluation of social practices and emancipatory change. The difference between critical and non-critical theories can be illustrated by contrasting the Marxian and Mannheimian theories of ideology. Whereas Mannheim’s theory merely describes relations between ideas of social conditions, Marx’s theory tries to show how certain social practices require false beliefs about them by their participants. Marx’s theory not only explains why this is so, it also negatively evaluates those practices; it is practical in that by disillusioning participants, it makes them capable of transformative action. It is also self-reflexive, since it shows why some practices require illusions and others do not, and also why social crises and conflicts will lead agents to change their circumstances. It is scientific, in that it appeals to historical evidence and can be revised in light of better theories of social action, language, and rationality. Marx also claimed that his theory was superior for its special “dialectical method,” but this is now disputed by most critical theorists, who incorporate many different theories and methods. This broader definition of critical theory, however, leaves a gap between theory and practice and places an extra burden on critics to justify their critical theories without appeal to such notions as inevitable historical progress. This problem has made critical theories more philosophical and concerned with questions of justification. 
FRANKFURT SCHOOL, LOGICAL POSITIVISM, MANNHEIM, RELATIVISM. J.Bo. Croce, Benedetto (1866–1952), Italian philosopher. He was born at Pescasseroli, in the Abruzzi, and after 1886 lived in Naples. He briefly attended the University of Rome and was led to study Herbart’s philosophy. In 1904 he founded the influential journal La critica. In 1910 he was made life member of the Italian senate. Early in his career he befriended Giovanni Gentile, but this friendship was breached by Gentile’s Fascism. During the Fascist period and World War II Croce lived in isolation as the chief anti-fascist thinker in Italy. He later became a leader of the Liberal party and at the age of eighty founded the Institute for Historical Studies. Croce was a literary and historical scholar who joined his great interest in these fields to philosophy. His best-known work in the Englishspeaking world is Aesthetic as Science of Expression and General Linguistic (1902). This was the first part of his “Philosophy of Spirit”; the second was his Logic (1905), the third his theory of the Practical (1909), and the fourth his Historiography (1917). Croce was influenced by Hegel and the Hegelian aesthetician Francesco De Sanctis (1817–83) and by Vico’s conceptions of knowledge, history, and society. He wrote The Philosophy of Giambattista Vico (1911) and a famous commentary on Hegel, What Is Living and What Is critical theory Croce, Benedetto 195 4065A-  AM  195 Dead in the Philosophy of Hegel (1907), in which he advanced his conception of the “dialectic of distincts” as more fundamental than the Hegelian dialectic of opposites. Croce held that philosophy always springs from the occasion, a view perhaps rooted in his concrete studies of history. He accepted the general Hegelian identification of philosophy with the history of philosophy. His philosophy originates from his conception of aesthetics. Central to his aesthetics is his view of intuition, which evolved through various stages during his career. He regards aesthetic experience as a primitive type of cognition. Intuition involves an awareness of a particular image, which constitutes a non-conceptual form of knowledge. Art is the expression of emotion but not simply for its own sake. The expression of emotion can produce cognitive awareness in the sense that the particular intuited as an image can have a cosmic aspect, so that in it the universal human spirit is perceived. Such perception is present especially in the masterpieces of world literature. Croce’s conception of aesthetic has connections with Kant’s “intuition” (Anschauung) and to an extent with Vico’s conception of a primordial form of thought based in imagination (fantasia). Croce’s philosophical idealism includes fully developed conceptions of logic, science, law, history, politics, and ethics. His influence to date has been largely in the field of aesthetics and in historicist conceptions of knowledge and culture. His revival of Vico has inspired a whole school of Vico scholarship. Croce’s conception of a “Philosophy of Spirit” showed it was possible to develop a post-Hegelian philosophy that, with Hegel, takes “the true to be the whole” but which does not simply imitate Hegel. 
AESTHETICS, HEGEL, KANT, VICO. D.P.V. crucial experiment, a means of deciding between rival theories that, providing parallel explanations of large classes of phenomena, come to be placed at issue by a single fact. For example, the Newtonian emission theory predicts that light travels faster in water than in air; according to the wave theory, light travels slower in water than in air. Dominique François Arago proposed a crucial experiment comparing the respective velocities. Léon Foucault then devised an apparatus to measure the speed of light in various media and found a lower velocity in water than in air. Arago and Foucault concluded for the wave theory, believing that the experiment refuted the emission theory. Other examples include Galileo’s discovery of the phases of Venus (Ptolemaic versus Copernican astronomy), Pascal’s Puy-de-Dôme experiment with the barometer (vacuists versus plenists), Fresnel’s prediction of a spot of light in circular shadows (particle versus wave optics), and Eddington’s measurement of the gravitational bending of light rays during a solar eclipse (Newtonian versus Einsteinian gravitation). At issue in crucial experiments is usually a novel prediction. The notion seems to derive from Francis Bacon, whose New Organon (1620) discusses the “Instance of the Fingerpost (Instantia – later experimentum – crucis),” a term borrowed from the post set up at crossroads to indicate several directions. Crucial experiments were emphasized in early nineteenth-century scientific methodology – e.g., in John F. Herschel’s A Preliminary Discourse on the Study of Natural Philosophy (1830). Duhem argued that crucial experiments resemble false dilemmas: hypotheses in physics do not come in pairs, so that crucial experiments cannot transform one of the two into a demonstrated truth. Discussing Foucault’s experiment, Duhem asks whether we dare assert that no other hypothesis is imaginable and suggests that instead of light being either a simple particle or wave, light might be something else, perhaps a disturbance propagated within a dielectric medium, as theorized by Maxwell. In the twentieth century, crucial experiments and novel predictions figured prominently in the work of Imre Lakatos (1922–74). Agreeing that crucial experiments are unable to overthrow theories, Lakatos accepted them as retroactive indications of the fertility or progress of research programs. 
BACON, FRANCIS; CONFIRMATION; DUHEM; PHILOSOPHY OF SCIENCE. R.Ar. Crusius, Christian August (1715–75), German philosopher, theologian, and a devout Lutheran pastor who believed that religion was endangered by the rationalist views especially of Wolff. He devoted his considerable philosophical powers to working out acute and often deep criticisms of Wolff and developing a comprehensive alternative to the Wolffian system. His main philosophical works were published in the 1740s. In his understanding of epistemology and logic Crusius broke with many of the assumptions that allowed Wolff to argue from how we think of things to how things are. For instance, Crusius tried to show that the necessity in causal connection is not the same as logical necessity. He rejected the Leibnizian view that this world is probably the best possible world, and he criticrucial experiment Crusius, Christian August 196 4065A-  AM  196 cized the Wolffian view of freedom of the will as merely a concealed spiritual mechanism. His ethics stressed our dependence on God and his commands, as did the natural law theory of Pufendorf, but he developed the view in some strikingly original ways. Rejecting voluntarism, Crusius held that God’s commands take the form of innate principles of the will (not the understanding). Everyone alike can know what they are, so (contra Wolff) there is no need for moral experts. And they carry their own motivational force with them, so there is no need for external sanctions. We have obligations of prudence to do what will forward our own ends; but true obligation, the obligation of virtue, arises only when we act simply to comply with God’s law, regardless of any ends of our own. In this distinction between two kinds of obligation, as in many of his other views, Crusius plainly anticipated much that Kant came to think. Kant when young read and admired his work, and it is mainly for this reason that Crusius is now remembered.  KANT, NATURAL LAW, PUFENDORF. J.B.S. Cudworth, Damaris, Lady Masham (1659– 1708), English philosopher and author of two treatises on religion, A Discourse Concerning the Love of God (1690) and Occasional Thoughts in Reference to a Virtuous Christian Life (1705). The first argues against the views of the English Malebranchian, John Norris; the second, ostensibly about the importance of education for women, argues for the need to establish natural religion on rational principles and explores the place of revealed religion within a rational framework. Cudworth’s reputation is founded on her long friendship with John Locke. Her correspondence with him is almost entirely personal; she also entered into a brief but philosophically interesting exchange of letters with Leibniz. 
LOCKE, MALEBRANCHE. M.At. Cudworth, Ralph.CAMBRIDGE PLATONISTS, HYLOZOISM. cultural relativism.RELATIVISM. Culverwel, Nathaniel.CAMBRIDGE PLATONISTS. Cumberland, Richard (1631–1718), English philosopher and bishop. He wrote a Latin Treatise of the Laws of Nature (1672), translated twice into English and once into French. Admiring Grotius, Cumberland hoped to refute Hobbes in the interests of defending Christian morality and religion. He refused to appeal to innate ideas and a priori arguments because he thought Hobbes must be attacked on his own ground. Hence he offered a reductive and naturalistic account of natural law. The one basic moral law of nature is that the pursuit of the good of all rational beings is the best path to the agent’s own good. This is true because God made nature so that actions aiding others are followed by beneficial consequences to the agent, while those harmful to others harm the agent. Since the natural consequences of actions provide sanctions that, once we know them, will make us act for the good of others, we can conclude that there is a divine law by which we are obligated to act for the common good. And all the other laws of nature follow from the basic law. Cumberland refused to discuss free will, thereby suggesting a view of human action as fully determined by natural causes. If on his theory it is a blessing that God made nature (including humans) to work as it does, the religious reader must wonder if there is any role left for God concerning morality. Cumberland is generally viewed as a major forerunner of utilitarianism.  GROTIUS, HOBBES, NATURAL LAW. J.B.S. cum hoc ergo propter hoc.
INFORMAL FALLACY. Cursus Coninbricensis.FONSECA. curve-fitting problem, the problem of making predictions from past observations by fitting curves to the data. Curve fitting has two steps: first, select a family of curves; then, find the bestfitting curve by some statistical criterion such as the method of least squares (e.g., choose the curve that has the least sum of squared deviations between the curve and data). The method was first proposed by Adrian Marie Legendre (1752–1833) and Carl Friedrich Gauss (1777– 1855) in the early nineteenth century as a way of inferring planetary trajectories from noisy data. More generally, curve fitting may be used to construct low-level empirical generalizations. For example, suppose that the ideal gas law, P % nkT, is chosen as the form of the law governing the dependence of the pressure P on the equilibrium temperature T of a fixed volume of gas, where n is the molecular number per unit volume and k is Boltzmann’s constant (a universal constant equal to 1.3804 $ 10†16 erg°C†1. When the parameter nk is adjustable, the law specifies a family of curves – one for each numerCudworth, Damaris curve-fitting problem 197 4065A-  AM  197 ical value of the parameter. Curve fitting may be used to determine the best-fitting member of the family, thereby effecting a measurement of the theoretical parameter, nk. The philosophically vexing problem is how to justify the initial choice of the form of the law. On the one hand, one might choose a very large, complex family of curves, which would ensure excellent fit with any data set. The problem with this option is that the best-fitting curve may overfit the data. If too much attention is paid to the random elements of the data, then the predictively useful trends and regularities will be missed. If it looks too good to be true, it probably is. On the other hand, simpler families run a greater risk of making grossly false assumptions about the true form of the law. Intuitively, the solution is to choose a simplefamily of curves that maintains a reasonable degree of fit. The simplicity of a family of curves is measured by the paucity of parameters. The problem is to say how and why such a trade-off between simplicity and goodness of fit should be made. When a theory can accommodate recalcitrant data only by the ad hoc – i.e., improperly motivated – addition of new terms and parameters, students of science have long felt that the subsequent increase in the degree of fit should not count in the theory’s favor, and such additions are sometimes called ad hoc hypotheses. The best-known example of this sort of ad hoc hypothesizing is the addition of epicycles upon epicycles in the planetary astronomies of Ptolemy and Copernicus. This is an example in which a gain in fit need not compensate for the loss of simplicity. Contemporary philosophers sometimes formulate the curve-fitting problem differently. They often assume that there is no noise in the data, and speak of the problem of choosing among different curves that fit the data exactly. Then the problem is to choose the simplest curve from among all those curves that pass through every data point. The problem is that there is no universally accepted way of defining the simplicity of single curves. No matter how the problem is formulated, it is widely agreed that simplicity should play some role in theory choice. Rationalists have championed the curve-fitting problem as exemplifying the underdetermination of theory from data and the need to make a priori assumptions about the simplicity of nature. Those philosophers who think that we have no such a priori knowledge still need to account for the relevance of simplicity to science. Whewell described curve fitting as the colligation of facts in the quantitative sciences, and the agreement in the measured parameters (coefficients) obtained by different colligations of facts as the consilience of inductions. Different colligations of facts (say on the same gas at different volume or for other gases) may yield good agreement among independently measured values of parameters (like the molecular density of the gas and Boltzmann’s constant). By identifying different parameters found to agree, we constrain the form of the law without appealing to a priori knowledge (good news for empiricism). But the accompanying increase in unification also worsens the overall degree of fit. Thus, there is also the problem of how and why we should trade off unification with total degree of fit. Statisticians often refer to a family of hypotheses as a model. A rapidly growing literature in statistics on model selection has not yet produced any universally accepted formula for trading off simplicity with degree of fit. However, there is wide agreement among statisticians that the paucity of parameters is the appropriate way of measuring simplicity. 
EXPLANATION, PHILOSOPHY OF SCIENCE, WHEWELL. M.R.F. Cusa.NICHOLAS OF CUSA. Cusanus.NICHOLAS OF CUSA. cut, Dedekind.DEDEKIND. cut-elimination theorem, a theorem stating that a certain type of inference rule (including a rule that corresponds to modus ponens) is not needed in classical logic. The idea was anticipated by J. Herbrand; the theorem was proved by G. Gentzen and generalized by S. Kleene. Gentzen formulated a sequent calculus – i.e., a deductive system with rules for statements about derivability. It includes a rule that we here express as ‘From (C Y D,M) and (M,C Y D), infer (C Y D)’ or ‘Given that C yields D or M, and that C plus M yields D, we may infer that C yields D’. Cusa cut-elimination theorem 198 4065A-  AM  198 This is called the cut rule because it cuts out the middle formula M. Gentzen showed that his sequent calculus is an adequate formalization of the predicate logic, and that the cut rule can be eliminated; anything provable with it can be proved without it. One important consequence of this is that, if a formula F is provable, then there is a proof of F that consists solely of subformulas of F. This fact simplifies the study of provability. Gentzen’s methodology applies directly to classical logic but can be adapted to many nonclassical logics, including some intuitionistic logics. It has led to some important theorems about consistency, and has illuminated the role of auxiliary assumptions in the derivation of consequences from a theory. 
CONSISTENCY, PROOF THEORY. D.H. cybernetics (coined by Norbert Wiener in 1947 from Greek kubernetes, ‘helmsman’), the study of the communication and manipulation of information in service of the control and guidance of biological, physical, or chemical energy systems. Historically, cybernetics has been intertwined with mathematical theories of information (communication) and computation. To describe the cybernetic properties of systems or processes requires ways to describe and measure information (reduce uncertainty) about events within the system and its environment. Feedback and feedforward, the basic ingredients of cybernetic processes, involve information – as what is fed forward or backward – and are basic to processes such as homeostasis in biological systems, automation in industry, and guidance systems. Of course, their most comprehensive application is to the purposive behavior (thought) of cognitively goal-directed systems such as ourselves. Feedback occurs in closed-loop, as opposed to open-loop, systems. Actually, ‘open-loop’ is a misnomer (involving no loop), but it has become entrenched. The standard example of an openloop system is that of placing a heater with constant output in a closed room and leaving it switched on. Room temperature may accidentally reach, but may also dramatically exceed, the temperature desired by the occupants. Such a heating system has no means of controlling itself to adapt to required conditions. In contrast, the standard closed-loop system incorporates a feedback component. At the heart of cybernetics is the concept of control. A controlled process is one in which an end state that is reached depends essentially on the behavior of the controlling system and not merely on its external environment. That is, control involves partial independence for the system. A control system may be pictured as having both an inner and outer environment. The inner environment consists of the internal events that make up the system; the outer environment consists of events that causally impinge on the system, threatening disruption and loss of system integrity and stability. For a system to maintain its independence and identity in the face of fluctuations in its external environment, it must be able to detect information about those changes in the external environment. Information must pass through the interface between inner and outer environments, and the system must be able to compensate for fluctuations of the outer environment by adjusting its own inner environmental variables. Otherwise, disturbances in the outer environment will overcome the system – bringing its inner states into equilibrium with the outer states, thereby losing its identity as a distinct, independent system. This is nowhere more certain than with the homeostatic systems of the body (for temperature or blood sugar levels). Control in the attainment of goals is accomplished by minimizing error. Negative feedback, or information about error, is the difference between activity a system actually performs (output) and that activity which is its goal to perform (input). The standard example of control incorporating negative feedback is the thermostatically controlled heating system. The actual room temperature (system output) carries information to the thermostat that can be compared (via goal-state comparator) to the desired temperature for the room (input) as embodied in the set-point on the thermostat; a correction can then be made to minimize the difference (error) – the furnace turns on or off. Positive feedback tends to amplify the value of the output of a system (or of a system disturbance) by adding the value of the output to the system input quantity. Thus, the system accentuates disturbances and, if unchecked, will eventually pass the brink of instability. Suppose that as room temperature rises it causes the thermostatic set-point to rise in direct proportion to the rise in temperature. This would cause the furnace to continue to output heat (possibly with disastrous consequences). Many biological maladies have just this characteristic. For example, severe loss of blood causes inability of the heart to pump effectively, which causes loss of arterial pressure, which, in turn, causes reduced flow of blood to the heart, reducing pumping efficiency. cybernetics cybernetics 199 4065A-  AM  199 Cognitively goal-directed systems are also cybernetic systems. Purposive attainment of a goal by a goal-directed system must have (at least): (1) an internal representation of the goal state of the system (a detector for whether the desired state is actual); (2) a feedback loop by which information about the present state of the system can be compared with the goal state as internally represented and by means of which an error correction can be made to minimize any difference; and (3) a causal dependency of system output upon the error-correction process of condition (2) (to distinguish goal success from fortuitous goal satisfaction). 
COMPUTER THEORY, INFORMATION THEORY, SYSTEMS THEORY. F.A. Cynics, a classical Greek philosophical school characterized by asceticism and emphasis on the sufficiency of virtue for happiness (eudaimonia), boldness in speech, and shamelessness in action. The Cynics were strongly influenced by Socrates and were themselves an important influence on Stoic ethics. An ancient tradition links the Cynics to Antisthenes (c.445–c.360 B.C.), an Athenian. He fought bravely in the battle of Tanagra and claimed that he would not have been so courageous if he had been born of two Athenians instead of an Athenian and a Thracian slave. He studied with Gorgias, but later became a close companion of Socrates and was present at Socrates’ death. Antisthenes was proudest of his wealth, although he had no money, because he was satisfied with what he had and he could live in whatever circumstances he found himself. Here he follows Socrates in three respects. First, Socrates himself lived with a disregard for pleasure and pain – e.g., walking barefoot in snow. Second, Socrates thinks that in every circumstance a virtuous person is better off than a nonvirtuous one; Antisthenes anticipates the Stoic development of this to the view that virtue is sufficient for happiness, because the virtuous person uses properly whatever is present. Third, both Socrates and Antisthenes stress that the soul is more important than the body, and neglect the body for the soul. Unlike the later Cynics, however, both Socrates and Antisthenes do accept pleasure when it is available. Antisthenes also does not focus exclusively on ethics; he wrote on other topics, including logic. (He supposedly told Plato that he could see a horse but not horseness, to which Plato replied that he had not acquired the means to see horseness.) Diogenes of Sinope (c.400–c.325 B.C.) continued the emphasis on self-sufficiency and on the soul, but took the disregard for pleasure to asceticism. (According to one story, Plato called Diogenes “Socrates gone mad.”) He came to Athens after being exiled from Sinope, perhaps because the coinage was defaced, either by himself or by others, under his father’s direction. He took ‘deface the coinage!’ as a motto, meaning that the current standards were corrupt and should be marked as corrupt by being defaced; his refusal to live by them was his defacing them. For example, he lived in a wine cask, ate whatever scraps he came across, and wrote approvingly of cannibalism and incest. One story reports that he carried a lighted lamp in broad daylight looking for an honest human, probably intending to suggest that the people he did see were so corrupted that they were no longer really people. He apparently wanted to replace the debased standards of custom with the genuine standards of nature – but nature in the sense of what was minimally required for human life, which an individual human could achieve, without society. Because of this, he was called a Cynic, from the Greek word kuon (dog), because he was as shameless as a dog. Diogenes’ most famous successor was Crates (fl. c.328–325 B.C.). He was a Boeotian, from Thebes, and renounced his wealth to become a Cynic. He seems to have been more pleasant than Diogenes; according to some reports, every Athenian house was open to him, and he was even regarded by them as a household god. Perhaps the most famous incident involving Crates is his marriage to Hipparchia, who took up the Cynic way of life despite her family’s opposition and insisted that educating herself was preferable to working a loom. Like Diogenes, Crates emphasized that happiness is self-sufficiency, and claimed that asceticism is required for self-sufficiency; e.g., he advises us not to prefer oysters to lentils. He argues that no one is happy if happiness is measured by the balance of pleasure and pain, since in each period of our lives there is more pain than pleasure. Cynicism continued to be active through the third century B.C., and returned to prominence in the second century A.D. after an apparent decline. 
Cyrenaics, a classical Greek philosophical school that began shortly after Socrates and lasted for several centuries, noted especially for hedonism. Ancient writers trace the Cyrenaics back to ArisCynics Cyrenaics 200 4065A-  AM  200 tippus of Cyrene (fifth-fourth century B.C.), an associate of Socrates. Aristippus came to Athens because of Socrates’ fame and later greatly enjoyed the luxury of court life in Sicily. (Some people ascribe the founding of the school to his grandchild Aristippus, because of an ancient report that the elder Aristippus said nothing clear about the human end.) The Cyrenaics include Aristippus’s child Arete, her child Aristippus (taught by Arete), Hegesius, Anniceris, and Theodorus. The school seems to have been superseded by the Epicureans. No Cyrenaic writings survive, and the reports we do have are sketchy. The Cyrenaics avoid mathematics and natural philosophy, preferring ethics because of its utility. (According to them, not only will studying nature not make us virtuous, it also won’t make us stronger or richer.) Some reports claim that they also avoid logic and epistemology. But this is not true of all the Cyrenaics: according to other reports, they think logic and epistemology are useful, consider arguments (and also causes) as topics to be covered in ethics, and have an epistemology. Their epistemology is skeptical. We can know only how we are affected; we can know, e.g., that we are whitening, but not that whatever is causing this sensation is itself white. This differs from Protagoras’s theory; unlike Protagoras the Cyrenaics draw no inferences about the things that affect us, claiming only that external things have a nature that we cannot know. But, like Protagoras, the Cyrenaics base their theory on the problem of conflicting appearances. Given their epistemology, if humans ought to aim at something that is not a way of being affected (i.e., something that is immediately perceived according to them), we can never know anything about it. Unsurprisingly, then, they claim that the end is a way of being affected; in particular, they are hedonists. The end of good actions is particular pleasures (smooth changes), and the end of bad actions is particular pains (rough changes). There is also an intermediate class, which aims at neither pleasure nor pain. Mere absence of pain is in this intermediate class, since the absence of pain may be merely a static state. Pleasure for Aristippus seems to be the sensation of pleasure, not including related psychic states. We should aim at pleasure (although not everyone does), as is clear from our naturally seeking it as children, before we consciously choose to. Happiness, which is the sum of the particular pleasures someone experiences, is choiceworthy only for the particular pleasures that constitute it, while particular pleasures are choiceworthy for themselves. Cyrenaics, then, are not concerned with maximizing total pleasure over a lifetime, but only with particular pleasures, and so they should not choose to give up particular pleasures on the chance of increasing the total. Later Cyrenaics diverge in important respects from the original Cyrenaic hedonism, perhaps in response to the development of Epicurus’s views. Hegesias claims that happiness is impossible because of the pains associated with the body, and so thinks of happiness as total pleasure minus total pain. He emphasizes that wise people act for themselves, and denies that people actually act for someone else. Anniceris, on the other hand, claims that wise people are happy even if they have few pleasures, and so seems to think of happiness as the sum of pleasures, and not as the excess of pleasures over pains. Anniceris also begins considering psychic pleasures: he insists that friends should be valued not only for their utility, but also for our feelings toward them. We should even accept losing pleasure because of a friend, even though pleasure is the end. Theodorus goes a step beyond Anniceris. He claims that the end of good actions is joy and that of bad actions is grief. (Surprisingly, he denies that friendship is reasonable, since fools have friends only for utility and wise people need no friends.) He even regards pleasure as intermediate between practical wisdom and its opposite. This seems to involve regarding happiness as the end, not particular pleasures, and may involve losing particular pleasures for long-term happiness.  EUDAIMONISM, HEDONISM,
Czolbe, Heinrich (1819–73), German philosopher. He was born in Danzig and trained in theology and medicine. His main works are Neue Darstellung des Sensualismus (“New Exposition of Sensualism,” 1855), Entstehung des Selbstbewusstseins (“Origin of Self-Consciousness,” 1856), Die Grenzen und der Ursprung der menschlichen Erkenntnis (“The Limits and Origin of Human Knowledge,” 1865), and a posthumously published study, Grundzüge der extensionalen Erkenntnistheorie (1875). Czolbe proposed a sensualistic theory of knowledge: knowledge is a copy of the actual, and spatial extension is ascribed even to ideas. Space is the support of all attributes. His later work defended a non-reductive materialism. Czolbe made the rejection of the supersensuous a central principle and defended a radical “senCzolbe, Heinrich Czolbe, Heinrich 201 4065A-  AM  201 sationalism.” Despite this, he did not present a dogmatic materialism, but cast his philosophy in hypothetical form. In his study of the origin of self-consciousness Czolbe held that dissatisfaction with the actual world generates supersensuous ideas and branded this attitude as “immoral.” He excluded supernatural phenomena on the basis not of physiological or scientific studies but of a “moral feeling of duty towards the natural world-order and contentment with it.” The same valuation led him to postulate the eternality of terrestrial life. Nietzsche was familiar with Czolbe’s works and incorporated some of his themes into his philosophy.
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Czolbe, Heinrich Czolbe, Heinrich 202 4065A-  AM  202 d’Ailly, Pierre (1350–1420), French Ockhamist philosopher, prelate, and writer. Educated at the Collège de Navarre, he was promoted to doctor in the Sorbonne in 1380, appointed chancellor of Paris University in 1389, consecrated bishop in 1395, and made a cardinal in 1411. He was influenced by John of Mirecourt’s nominalism. He taught Gerson. At the Council of Constance (1414–18), which condemned Huss’s teachings, d’Ailly upheld the superiority of the council over the pope (conciliarism). The relation of astrology to history and theology figures among his primary interests. His 1414 Tractatus de Concordia astronomicae predicted the 1789 French Revolution. He composed a De anima, a commentary on Boethius’s Consolation of Philosophy, and another on Peter Lombard’s Sentences. His early logical work, Concepts and Insolubles (c.1472), was particularly influential. In epistemology, d’Ailly contradistinguished “natural light” (indubitable knowledge) from reason (relative knowledge), and emphasized thereafter the uncertainty of experimental knowledge and the mere probability of the classical “proofs” of God’s existence. His doctrine of God differentiates God’s absolute power (potentia absoluta) from God’s ordained power on earth (potentia ordinata). His theology anticipated fideism (Deum esse sola fide tenetur), his ethics the spirit of Protestantism, and his sacramentology Lutheranism. J.-L.S. d’Alembert, Jean Le Rond (1717–83), French mathematician, philosopher, and Encyclopedist. According to Grimm, d’Alembert was the prime luminary of the philosophic party. An abandoned, illegitimate child, he nonetheless received an outstanding education at the Jansenist Collège des Quatre-Nations in Paris. He read law for a while, tried medicine, and settled on mathematics. In 1743, he published an acclaimed Treatise of Dynamics. Subsequently, he joined the Paris Academy of Sciences and contributed decisive works on mathematics and physics. In 1754, he was elected to the French Academy, of which he later became permanent secretary. In association with Diderot, he launched the Encyclopedia, for which he wrote the epoch-making Discours préliminaire (1751) and numerous entries on science. Unwilling to compromise with the censorship, he resigned as coeditor in 1758. In the Discours préliminaire, d’Alembert specified the divisions of the philosophical discourse on man: pneumatology, logic, and ethics. Contrary to Christian philosophies, he limited pneumatology to the investigation of the human soul. Prefiguring positivism, his Essay on the Elements of Philosophy (1759) defines philosophy as a comparative examination of physical phenomena. Influenced by Bacon, Locke, and Newton, d’Alembert’s epistemology associates Cartesian psychology with the sensory origin of ideas. Though assuming the universe to be rationally ordered, he discarded metaphysical questions as inconclusive. The substance, or the essence, of soul and matter, is unknowable. Agnosticism ineluctably arises from his empirically based naturalism. D’Alembert is prominently featured in D’Alembert’s Dream (1769), Diderot’s dialogical apology for materialism. 
Damascius (c.462–c.550), Greek Neoplatonist philosopher, last head of the Athenian Academy before its closure by Justinian in A.D. 529. Born probably in Damascus, he studied first in Alexandria, and then moved to Athens shortly before Proclus’s death in 485. He returned to Alexandria, where he attended the lectures of Ammonius, but came back again to Athens in around 515, to assume the headship of the Academy. After the closure, he retired briefly with some other philosophers, including Simplicius, to Persia, but left after about a year, probably for Syria, where he died. He composed many works, including a life of his master Isidorus, which survives in truncated form; commentaries on Aristotle’s Categories, On the Heavens, and Meteorologics I (all lost); commentaries on Plato’s Alcibiades, Phaedo, Philebus, and Parmenides, which survive; and a surviving treatise On First Principles. His philosophical system is a further elaboration of the scholastic Neoplatonism of Proclus, exhibiting a great proliferation of metaphysical entities. 
Danto, Arthur Coleman (b.1924), American philosopher of art and art history who has also contributed to the philosophies of history, action, knowledge, science, and metaphilosophy. Among his influential studies in the history of philosophy are books on Nietzsche, Sartre, and Indian thought. Danto arrives at his philosophy of art through his “method of indiscernibles,” which has greatly influenced contemporary philosophical aesthetics. According to his metaphilosophy, genuine philosophical questions arise when there is a theoretical need to differentiate two things that are perceptually indiscernible – such as prudential actions versus moral actions (Kant), causal chains versus constant conjunctions (Hume), and perfect dreams versus reality (Descartes). Applying the method to the philosophy of art, Danto asks what distinguishes an artwork, such as Warhol’s Brillo Box, from its perceptually indiscernible, real-world counterparts, such as Brillo boxes by Proctor and Gamble. His answer – his partial definition of art – is that x is a work of art only if (1) x is about something and (2) x embodies its meaning (i.e., discovers a mode of presentation intended to be appropriate to whatever subject x is about). These two necessary conditions, Danto claims, enable us to distinguish between artworks and real things – between Warhol’s Brillo Box and Proctor and Gamble’s. However, critics have pointed out that these conditions fail, since real Brillo boxes are about something (Brillo) about which they embody or convey meanings through their mode of presentation (viz., that Brillo is clean, fresh, and dynamic). Moreover, this is not an isolated example. Danto’s theory of art confronts systematic difficulties in differentiating real cultural artifacts, such as industrial packages, from artworks proper. In addition to his philosophy of art, Danto proposes a philosophy of art history. Like Hegel, Danto maintains that art history – as a developmental, progressive process – has ended. Danto believes that modern art has been primarily reflexive (i.e., about itself); it has attempted to use its own forms and strategies to disclose the essential nature of art. Cubism and abstract expressionism, for example, exhibit saliently the two-dimensional nature of painting. With each experiment, modern art has gotten closer to disclosing its own essence. But, Danto argues, with works such as Warhol’s Brillo Box, artists have taken the philosophical project of self-definition as far as they can, since once an artist like Warhol has shown that artworks can be perceptually indiscernible from “real things” and, therefore, can look like anything, there is nothing further that the artist qua artist can show through the medium of appearances about the nature of art. The task of defining art must be reassigned to philosophers to be treated discursively, and art history – as the developmental, progressive narrative of self-definition – ends. Since that turn of events was putatively precipitated by Warhol in the 1960s, Danto calls the present period of art making “post-historical.” As an art critic for The Nation, he has been chronicling its vicissitudes for a decade and a half. Some dissenters, nevertheless, have been unhappy with Danto’s claim that art history has ended because, they maintain, he has failed to demonstrate that the only prospects for a developmental, progressive history of art reside in the project of the self-definition of art. 
Darwinism, the view that biological species evolve primarily by means of chance variation and natural selection. Although several important scientists prior to Charles Darwin (1809–82) had suggested that species evolve and had provided mechanisms for that evolution, Darwin was the first to set out his mechanism in sufficient detail and provide adequate empirical grounding. Even though Darwin preferred to talk about descent with modification, the term that rapidly came to characterize his theory was evolution. According to Darwin, organisms vary with respect to their characteristics. In a litter of puppies, some will be bigger, some will have longer hair, some will be more resistant to disease, etc. Darwin termed these variations chance, not because he thought that they were in any sense “uncaused,” but to reject any general correlation between the variations that an organism might need and those it gets, as Lamarck had proposed. Instead, successive generations of organisms become adapted to their environments in a more roundabout way. Variations occur in all directions. The organisms that happen to possess the characteristics necessary to survive and reproduce proliferate. Those that do not either die or leave fewer offspring. Before Darwin, an adaptation was any trait that fits an organism to its environment. After Darwin, the term came to be limited to just those useful traits that arose through natural selection. For example, the sutures in the skulls of mammals make parturition easier, but they are not adaptations in an evolutionary sense because Danto, Arthur Coleman Darwinism 204 4065A-  AM  204 they arose in ancestors that did not give birth to live young, as is indicated by these same sutures appearing in the skulls of egg-laying birds. Because organisms are integrated systems, Darwin thought that adaptations had to arise through the accumulation of numerous, small variations. As a result, evolution is gradual. Darwin himself was unsure about how progressive biological evolution is. Organisms certainly become better adapted to their environments through successive generations, but as fast as organisms adapt to their environments, their environments are likely to change. Thus, Darwinian evolution may be goal-directed, but different species pursue different goals, and these goals keep changing. Because heredity was so important to his theory of evolution, Darwin supplemented it with a theory of heredity – pangenesis. According to this theory, the cells throughout the body of an organism produce numerous tiny gemmules that find their way to the reproductive organs of the organism to be transmitted in reproduction. An offspring receives variable numbers of gemmules from each of its parents for each of its characteristics. For instance, the male parent might contribute 214 gemmules for length of hair to one offspring, 121 to another, etc., while the female parent might contribute 54 gemmules for length of hair to the first offspring and 89 to the second. As a result, characters tend to blend. Darwin even thought that gemmules themselves might merge, but he did not think that the merging of gemmules was an important factor in the blending of characters. Numerous objections were raised to Darwin’s theory in his day, and one of the most telling stemmed from his adopting a blending theory of inheritance. As fast as natural selection biases evolution in a particular direction, blending inheritance neutralizes its effects. Darwin’s opponents argued that each species had its own range of variation. Natural selection might bias the organisms belonging to a species in a particular direction, but as a species approached its limits of variation, additional change would become more difficult. Some special mechanism was needed to leap over the deep, though possibly narrow, chasms that separate species. Because a belief in biological evolution became widespread within a decade or so after the publication of Darwin’s Origin of Species in 1859, the tendency is to think that it was Darwin’s view of evolution that became popular. Nothing could be further from the truth. Darwin’s contemporaries found his theory too materialistic and haphazard because no supernatural or teleological force influenced evolutionary development. Darwin’s contemporaries were willing to accept evolution, but not the sort advocated by Darwin. Although Darwin viewed the evolution of species on the model of individual development, he did not think that it was directed by some internal force or induced in a Lamarckian fashion by the environment. Most Darwinians adopted just such a position. They also argued that species arise in the space of a single generation so that the boundaries between species remained as discrete as the creationists had maintained. Ideal morphologists even eliminated any genuine temporal dimension to evolution. Instead they viewed the evolution of species in the same atemporal way that mathematicians view the transformation of an ellipse into a circle. The revolution that Darwin instigated was in most respects non-Darwinian. By the turn of the century, Darwinism had gone into a decided eclipse. Darwin himself remained fairly open with respect to the mechanisms of evolution. For example, he was willing to accept a minor role for Lamarckian forms of inheritance, and he acknowledged that on occasion a new species might arise quite rapidly on the model of the Ancon sheep. Several of his followers were less flexible, rejecting all forms of Lamarckian inheritance and insisting that evolutionary change is always gradual. Eventually Darwinism became identified with the views of these neo-Darwinians. Thus, when Mendelian genetics burst on the scene at the turn of the century, opponents of Darwinism interpreted this new particulate theory of inheritance as being incompatible with Darwin’s blending theory. The difference between Darwin’s theory of pangenesis and Mendelian genetics, however, did not concern the existence of hereditary particles. Gemmules were as particulate as genes. The difference lay in numbers. According to early Mendelians, each character is controlled by a single pair of genes. Instead of receiving a variable number of gemmules from each parent for each character, each offspring gets a single gene from each parent, and these genes do not in any sense blend with each other. Blue eyes remain as blue as ever from generation to generation, even when the gene for blue eyes resides opposite the gene for brown eyes. As the nature of heredity was gradually worked out, biologists began to realize that a Darwinian view of evolution could be combined with Mendelian genetics. Initially, the founders of this later stage in the development of neoDarwinism exhibited considerable variation in Darwinism Darwinism 205 4065A-  AM  205 their beliefs about the evolutionary process, but as they strove to produce a single, synthetic theory, they tended to become more Darwinian than Darwin had been. Although they acknowledged that other factors, such as the effects of small numbers, might influence evolution, they emphasized that natural selection is the sole directive force in evolution. It alone could explain the complex adaptations exhibited by organisms. New species might arise through the isolation of a few founder organisms, but from a populational perspective, evolution was still gradual. New species do not arise in the space of a single generation by means of “hopeful monsters” or any other developmental means. Nor was evolution in any sense directional or progressive. Certain lineages might become more complex for a while, but at this same time, others would become simpler. Because biological evolution is so opportunistic, the tree of life is highly irregular. But the united front presented by the neo-Darwinians was in part an illusion. Differences of opinion persisted, for instance over how heterogeneous species should be. No sooner did neo-Darwinism become the dominant view among evolutionary biologists than voices of dissent were raised. Currently, almost every aspect of the neo-Darwinian paradigm is being challenged. No one proposes to reject naturalism, but those who view themselves as opponents of neo-Darwinism urge more important roles for factors treated as only minor by the neo-Darwinians. For example, neoDarwinians view selection as being extremely sharp-sighted. Any inferior organism, no matter how slightly inferior, is sure to be eliminated. Nearly all variations are deleterious. Currently evolutionists, even those who consider themselves Darwinians, acknowledge that a high percentage of changes at the molecular level may be neutral with respect to survival or reproduction. On current estimates, over 95 percent of an organism’s genes may have no function at all. Disagreement also exists about the level of organization at which selection can operate. Some evolutionary biologists insist that selection occurs primarily at the level of single genes, while others think that it can have effects at higher levels of organization, certainly at the organismic level, possibly at the level of entire species. Some biologists emphasize the effects of developmental constraints on the evolutionary process, while others have discovered unexpected mechanisms such as molecular drive. How much of this conceptual variation will become incorporated into Darwinism remains to be seen. 
Davidson, Donald (b.1917), American metaphysician and philosopher of mind and language. His views on the relationship between our conceptions of ourselves as persons and as complex physical objects have had an enormous impact on contemporary philosophy. Davidson regards the mind–body problem as the problem of the relation between mental and physical events; his discussions of explanation assume that the entities explained are events; causation is a relation between events; and action is a species of events, so that events are the very subject matter of action theory. His central claim concerning events is that they are concrete particulars – unrepeatable entities located in space and time. He does not take for granted that events exist, but argues for their existence and for specific claims as to their nature. In “The Individuation of Events” (in Essays on Actions and Events, 1980), Davidson argues that a satisfactory theory of action must recognize that we talk of the same action under different descriptions. We must therefore assume the existence of actions. His strongest argument for the existence of events derives from his most original contribution to metaphysics, the semantic method of truth (Essays on Actions and Events, pp. 105–80; Essays on Truth and Interpretation, 1984, pp. 199–214). The argument is based on a distinctive trait of the English language (one not obviously shared by signal systems in lower animals), namely, its productivity of combinations. We learn modes of composition as well as words and are thus prepared to produce and respond to complex expressions never before encountered. Davidson argues, from such considerations, that our very understanding of English requires assuming the existence of events. To understand Davidson’s rather complicated views about the relationships between mind and body, consider the following claims: (1) The mental and the physical are distinct. (2) The mental and the physical causally interact. (3) The physical is causally closed. Darwinism, social Davidson, Donald 206 4065A-  AM  206 (1) says that no mental event is a physical event; (2), that some mental events cause physical events and vice versa; and (3), that all the causes of physical events are physical events. If mental events are distinct from physical events and sometimes cause them, then the physical is not causally closed. The dilemma posed by the plausibility of each of these claims and by their apparent incompatibility just is the traditional mind– body problem. Davidson’s resolution consists of three theses: (4) There are no strict psychological or psychophysical laws; in fact, all strict laws are expressible in purely physical vocabulary. (5) Mental events causally interact with physical events. (6) Event c causes event e only if some strict causal law subsumes c and e. It is commonly held that a property expressed by M is reducible to a property expressed by P (where M and P are not logically connected) only if some exceptionless law links them. So, given (4), mental and physical properties are distinct. (6) says that c causes e only if there are singular descriptions, D of c and DH of e, and a “strict” causal law, L, such that L and ‘D occurred’ entail ‘D caused D'’. (6) and the second part of (4) entail that physical events have only physical causes and that all event causation is physically grounded. Given the parallel between (1)–(3) and (4)– (6), it may seem that the latter, too, are incompatible. But Davidson shows that they all can be true if (and only if) mental events are identical to physical events. Let us say that an event e is a physical event if and only if e satisfies a basic physical predicate (that is, a physical predicate appearing in a “strict” law). Since only physical predicates (or predicates expressing properties reducible to basic physical properties) appear in “strict” laws, every event that enters into causal relations satisfies a basic physical predicate. So, those mental events which enter into causal relations are also physical events. Still, the anomalous monist is committed only to a partial endorsement of (1). The mental and physical are distinct insofar as they are not linked by strict law – but they are not distinct insofar as mental events are in fact physical events. 
decidability, as a property of sets, the existence of an effective procedure (a “decision procedure”) which, when applied to any object, determines whether or not the object belongs to the set. A theory or logic is decidable if and only if the set of its theorems is. Decidability is proved by describing a decision procedure and showing that it works. The truth table method, for example, establishes that classical propositional logic is decidable. To prove that something is not decidable requires a more precise characterization of the notion of effective procedure. Using one such characterization (for which there is ample evidence), Church proved that classical predicate logic is not decidable. 
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DECIDABILITY. decision theory, the theory of rational decision, often called “rational choice theory” in political science and other social sciences. The basic idea (probably Pascal’s) was published at the end of Arnaud’s Port-Royal Logic (1662): “To judge what one must do to obtain a good or avoid an evil one must consider not only the good and the evil in itself but also the probability of its happening or not happening, and view geometrically the proportion that all these things have together.” Where goods and evils are monetary, Daniel Bernoulli (1738) spelled the idea out in terms of expected utilities as figures of merit for actions, holding that “in the absence of the unusual, the utility resulting from a fixed small increase in wealth will be inversely proportional to the quantity of goods previously possessed.” This was meant to solve the St. Petersburg paradox: Peter tosses a coin . . . until it should land “heads” [on toss n]. . . . He agrees to give Paul one ducat if he gets “heads” on the very first throw [and] with each additional throw the number of ducats he must pay is doubled. . . . Although the standard calculation shows that the value of Paul’s expectation [of gain] is infinitely great [i.e., the sum of all possible gains $ probabilities, 2n/2 $ ½n], it has . . . to be admitted that any fairly reasonable man would sell his chance, with great pleasure, for twenty ducats. In this case Paul’s expectation of utility is indeed finite on Bernoulli’s assumption of inverse proportionality; but as Karl Menger observed (1934), Bernoulli’s solution fails if payoffs are so large that utilities are inversely proporde Beauvoir, Simone decision theory 207 4065A-  AM  207 tional to probabilities; then only boundedness of utility scales resolves the paradox. Bernoulli’s idea of diminishing marginal utility of wealth survived in the neoclassical texts of W. S. Jevons (1871), Alfred Marshall (1890), and A. C. Pigou (1920), where personal utility judgment was understood to cause preference. But in the 1930s, operationalistic arguments of John Hicks and R. G. D. Allen persuaded economists that on the contrary, (1) utility is no cause but a description, in which (2) the numbers indicate preference order but not intensity. In their Theory of Games and Economic Behavior (1946), John von Neumann and Oskar Morgenstern undid (2) by pushing (1) further: ordinal preferences among risky prospects were now seen to be describable on “interval” scales of subjective utility (like the Fahrenheit and Celsius scales for temperature), so that once utilities, e.g., 0 and 1, are assigned to any prospect and any preferred one, utilities of all prospects are determined by overall preferences among gambles, i.e., probability distributions over prospects. Thus, the utility midpoint between two prospects is marked by the distribution assigning probability ½ to each. In fact, Ramsey had done that and more in a little-noticed essay (“Truth and Probability,” 1931) teasing subjective probabilities as well as utilities out of ordinal preferences among gambles. In a form independently invented by L. J. Savage (Foundations of Statistics, 1954), this approach is now widely accepted as a basis for rational decision analysis. The 1968 book of that title by Howard Raiffa became a theoretical centerpiece of M.B.A. curricula, whose graduates diffused it through industry, government, and the military in a simplified format for defensible decision making, namely, “cost–benefit analyses,” substituting expected numbers of dollars, deaths, etc., for preference-based expected utilities. Social choice and group decision form the native ground of interpersonal comparison of personal utilities. Thus, John C. Harsanyi (1955) proved that if (1) individual and social preferences all satisfy the von Neumann-Morgenstern axioms, and (2) society is indifferent between two prospects whenever all individuals are, and (3) society prefers one prospect to another whenever someone does and nobody has the opposite preference, then social utilities are expressible as sums of individual utilities on interval scales obtained by stretching or compressing the individual scales by amounts determined by the social preferences. Arguably, the theorem shows how to derive interpersonal comparisons of individual preference intensities from social preference orderings that are thought to treat individual preferences on a par. Somewhat earlier, Kenneth Arrow had written that “interpersonal comparison of utilities has no meaning and, in fact, there is no meaning relevant to welfare economics in the measurability of individual utility” (Social Choice and Individual Values, 1951) – a position later abandoned (P. Laslett and W. G. Runciman, eds., Philosophy, Politics and Society, 1967). Arrow’s “impossibility theorem” is illustrated by cyclic preferences (observed by Condorcet in 1785) among candidates A, B, C of voters 1, 2, 3, who rank them ABC, BCA, CAB, respectively, in decreasing order of preference, so that majority rule yields intransitive preferences for the group of three, of whom two (1, 3) prefer A to B and two (1, 2) prefer B to C but two (2, 3) prefer C to A. In general, the theorem denies existence of technically democratic schemes for forming social preferences from citizens’ preferences. A clause tendentiously called “independence of irrelevant alternatives” in the definition of ‘democratic’ rules out appeal to preferences among non-candidates as a way to form social preferences among candidates, thus ruling out the preferences among gambles used in Harsanyi’s theorem. (See John Broome, Weighing Goods, 1991, for further information and references.) Savage derived the agent’s probabilities for states as well as utilities for consequences from preferences among abstract acts, represented by deterministic assignments of consequences to states. An act’s place in the preference ordering is then reflected by its expected utility, a probability-weighted average of the utilities of its consequences in the various states. Savage’s states and consequences formed distinct sets, with every assignment of consequences to states constituting an act. While Ramsey had also taken acts to be functions from states to consequences, he took consequences to be propositions (sets of states), and assigned utilities to states, not consequences. A further step in that direction represents acts, too, by propositions (see Ethan Bolker, Functions Resembling Quotients of Measures, University Microfilms, 1965; and Richard Jeffrey, The Logic of Decision, 1965, 1990). Bolker’s representation theorem states conditions under which preferences between truth of propositions determine probabilities and utilities nearly enough to make the position of a proposition in one’s preference ranking reflect its “desirability,” i.e., one’s expectation of utility conditionally on it. decision theory decision theory 208 4065A-  AM  208 Alongside such basic properties as transitivity and connexity, a workhorse among Savage’s assumptions was the “sure-thing principle”: Preferences among acts having the same consequences in certain states are unaffected by arbitrary changes in those consequences. This implies that agents see states as probabilistically independent of acts, and therefore implies that an act cannot be preferred to one that dominates it in the sense that the dominant act’s consequences in each state have utilities at least as great as the other’s. Unlike the sure thing principle, the principle ‘Choose so as to maximize CEU (conditional expectation of utility)’ rationalizes action aiming to enhance probabilities of preferred states of nature, as in quitting cigarettes to increase life expectancy. But as Nozick pointed out in 1969, there are problems in which choiceworthiness goes by dominance rather than CEU, as when the smoker (like R. A. Fisher in 1959) believes that the statistical association between smoking and lung cancer is due to a genetic allele, possessors of which are more likely than others to smoke and to contract lung cancer, although among them smokers are not especially likely to contract lung cancer. In such (“Newcomb”) problems choices are ineffectual signs of conditions that agents would promote or prevent if they could. Causal decision theories modify the CEU formula to obtain figures of merit distinguishing causal efficacy from evidentiary significance – e.g., replacing conditional probabilities by probabilities of counterfactual conditionals; or forming a weighted average of CEU’s under all hypotheses about causes, with agents’ unconditional probabilities of hypotheses as weights; etc. Mathematical statisticians leery of subjective probability have cultivated Abraham Wald’s Theory of Statistical Decision Functions (1950), treating statistical estimation, experimental design, and hypothesis testing as zero-sum “games against nature.” For an account of the opposite assimilation, of game theory to probabilistic decision theory, see Skyrms, Dynamics of Rational Deliberation (1990). The “preference logics” of Sören Halldén, The Logic of ‘Better’ (1957), and G. H. von Wright, The Logic of Preference (1963), sidestep probability. Thus, Halldén holds that when truth of p is preferred to truth of q, falsity of q must be preferred to falsity of p, and von Wright (with Aristotle) holds that “this is more choiceworthy than that if this is choiceworthy without that, but that is not choiceworthy without this” (Topics III, 118a). Both principles fail in the absence of special probabilistic assumptions, e.g., equiprobability of p with q. Received wisdom counts decision theory clearly false as a description of human behavior, seeing its proper status as normative. But some, notably Davidson, see the theory as constitutive of the very concept of preference, so that, e.g., preferences can no more be intransitive than propositions can be at once true and false. 
deconstruction, a demonstration of the incompleteness or incoherence of a philosophical position using concepts and principles of argument whose meaning and use is legitimated only by that philosophical position. A deconstruction is thus a kind of internal conceptual critique in which the critic implicitly and provisionally adheres to the position criticized. The early work of Derrida is the source of the term and provides paradigm cases of its referent. That deconstruction remains within the position being discussed follows from a fundamental deconstructive argument about the nature of language and thought. Derrida’s earliest deconstructions argue against the possibility of an interior “language” of thought and intention such that the senses and referents of terms are determined by their very nature. Such terms are “meanings” or logoi. Derrida calls accounts that presuppose such magical thought-terms “logocentric.” He claims, following Heidegger, that the conception of such logoi is basic to the concepts of Western metaphysics, and that Western metaphysics is fundamental to our cultural practices and languages. Thus there is no “ordinary language” uncontaminated by philosophy. Logoi ground all our accounts of intention, meaning, truth, and logical connection. Versions of logoi in the history of philosophy range from Plato’s Forms through the self-interpreting ideas of the empiricists to Husserl’s intentional entities. Thus Derrida’s fullest deconstructions are of texts that give explicit accounts of logoi, especially his discussion of Husserl in Speech and Phenomena. There, Derrida argues that meanings that are fully present to consciousness are in decision tree deconstruction 209 4065A-  AM  209 principle impossible. The idea of a meaning is the idea of a repeatable ideality. But “repeatability” is not a feature that can be present. So meanings, as such, cannot be fully before the mind. Selfinterpreting logoi are an incoherent supposition. Without logoi, thought and intention are merely wordlike and have no intrinsic connection to a sense or a referent. Thus “meaning” rests on connections of all kinds among pieces of language and among our linguistic interactions with the world. Without logoi, no special class of connections is specifically “logical.” Roughly speaking, Derrida agrees with Quine both on the nature of meaning and on the related view that “our theory” cannot be abandoned all at once. Thus a philosopher must by and large think about a logocentric philosophical theory that has shaped our language in the very logocentric terms that that theory has shaped. Thus deconstruction is not an excision of criticized doctrines, but a much more complicated, self-referential relationship. Deconstructive arguments work out the consequences of there being nothing helpfully better than words, i.e., of thoroughgoing nominalism. According to Derrida, without logoi fundamental philosophical contrasts lose their principled foundations, since such contrasts implicitly posit one term as a logos relative to which the other side is defective. Without logos, many contrasts cannot be made to function as principles of the sort of theory philosophy has sought. Thus the contrasts between metaphorical and literal, rhetoric and logic, and other central notions of philosophy are shown not to have the foundation that their use presupposes.  HEIDEGGER, HUSSERL, MEANING, PHILOSOPHY OF LANGUAGE. S.C.W. Dedekind, Richard (1831–1916), German mathematician, one of the most important figures in the mathematical analysis of foundational questions that took place in the late nineteenth century. Philosophically, three things are interesting about Dedekind’s work: (1) the insistence that the fundamental numerical systems of mathematics must be developed independently of spatiotemporal or geometrical notions; (2) the insistence that the numbers systems rely on certain mental capacities fundamental to thought, in particular on the capacity of the mind to “create”; and (3) the recognition that this “creation” is “creation” according to certain key properties, properties that careful mathematical analysis reveals as essential to the subject matter. (1) is a concern Dedekind shared with Bolzano, Cantor, Frege, and Hilbert; (2) sets Dedekind apart from Frege; and (3) represents a distinctive shift toward the later axiomatic position of Hilbert and somewhat away from the concern with the individual nature of the central abstract mathematical objects which is a central concern of Frege. Much of Dedekind’s position is sketched in the Habilitationsrede of 1854, the procedure there being applied in outline to the extension of the positive whole numbers to the integers, and then to the rational field. However, the two works best known to philosophers are the monographs on irrational numbers (Stetigkeit und irrationale Zahlen, 1872) and on natural numbers (Was sind und was sollen die Zahlen?, 1888), both of which pursue the procedure advocated in 1854. In both we find an “analysis” designed to uncover the essential properties involved, followed by a “synthesis” designed to show that there can be such systems, this then followed by a “creation” of objects possessing the properties and nothing more. In the 1872 work, Dedekind suggests that the essence of continuity in the reals is that whenever the line is divided into two halves by a cut, i.e., into two subsets A1 and A2 such that if p 1 A1 and q 1 A2, then p ‹ q and, if p 1 A1 and q ‹ p, then q 1 A1, and if p 1 A2 and q ( p, then q 1 A2 as well, then there is real number r which “produces” this cut, i.e., such that A1 % {p; p ‹ r}, and A2 % {p: r m p}. The task is then to characterize the real numbers so that this is indeed true of them. Dedekind shows that, whereas the rationals themselves do not have this property, the collection of all cuts in the rationals does. Dedekind then “defines” the irrationals through this observation, not directly as the cuts in the rationals themselves, as was done later, but rather through the “creation” of “new (irrational) numbers” to correspond to those rational cuts not hitherto “produced” by a number. The 1888 work starts from the notion of a “mapping” of one object onto another, which for Dedekind is necessary for all exact thought. Dedekind then develops the notion of a one-toone into mapping, which is then used to characterize infinity (“Dedekind infinity”). Using the fundamental notion of a chain, Dedekind characterizes the notion of a “simply infinite system,” thus one that is isomorphic to the natural number sequence. Thus, he succeeds in the goal set out in the 1854 lecture: isolating precisely the characteristic properties of the natural number system. But do simply infinite systems, in particular the natural number system, exist? Dedekind now argues: Any infinite system must Dedekind, Richard Dedekind, Richard 210 4065A-  AM  210 contain a simply infinite system (Theorem 72). Correspondingly, Dedekind sets out to prove that there are infinite systems (Theorem 66), for which he uses an infamous argument (reminiscent of Bolzano’s from thirty years earlier) involving “my thought-world,” etc. It is generally agreed that the argument does not work, although it is important to remember Dedekind’s wish to demonstrate that since the numbers are to be free creations of the human mind, his proofs should rely only on the properties of the mental. The specific act of “creation,” however, comes in when Dedekind, starting from any simply infinite system, abstracts from the “particular properties” of this, claiming that what results is the simply infinite system of the natural numbers.  CANTOR, CONTINUUM PROBLEM, PHILOSOPHY OF MATHEMATICS. M.H. Dedekind cut.DEDEKIND. de dicto, of what is said (or of the proposition), as opposed to de re, of the thing. Many philosophers believe the following ambiguous, depending on whether they are interpreted de dicto or de re: (1) It is possible that the number of U.S. states is even. (2) Galileo believes that the earth moves. Assume for illustrative purposes that there are propositions and properties. If (1) is interpreted as de dicto, it asserts that the proposition that the number of U.S. states is even is a possible truth – something true, since there are in fact fifty states. If (1) is interpreted as de re, it asserts that the actual number of states (fifty) has the property of being possibly even – something essentialism takes to be true. Similarly for (2); it may mean that Galileo’s belief has a certain content – that the earth moves – or that Galileo believes, of the earth, that it moves. More recently, largely due to Castañeda and John Perry, many philosophers have come to believe in de se (“of oneself”) ascriptions, distinct from de dicto and de re. Suppose, while drinking with others, I notice that someone is spilling beer. Later I come to realize that it is I. I believed at the outset that someone was spilling beer, but didn’t believe that I was. Once I did, I straightened my glass. The distinction between de se and de dicto attributions is supposed to be supported by the fact that while de dicto propositions must be either true or false, there is no true proposition embeddable within ‘I believe that . . .’ that correctly ascribes to me the belief that I myself am spilling beer. The sentence ‘I am spilling beer’ will not do, because it employs an “essential” indexical, ‘I’. Were I, e.g., to designate myself other than by using ‘I’ in attributing the relevant belief to myself, there would be no explanation of my straightening my glass. Even if I believed de re that LePore is spilling beer, this still does not account for why I lift my glass. For I might not know I am LePore. On the basis of such data, some philosophers infer that de se attributions are irreducible to de re or de dicto attributions. 
KNOWLEDGE DE RE, TOKENREFLEXIVE. E.L. de dicto necessity.NECESSITY. deducibility relation.DEDUCTION, Appendix of Special Symbols. deduction, a finite sequence of sentences whose last sentence is a conclusion of the sequence (the one said to be deduced) and which is such that each sentence in the sequence is an axiom or a premise or follows from preceding sentences in the sequence by a rule of inference. A synonym is ‘derivation’. Deduction is a system-relative concept. It makes sense to say something is a deduction only relative to a particular system of axioms and rules of inference. The very same sequence of sentences might be a deduction relative to one such system but not relative to another. The concept of deduction is a generalization of the concept of proof. A proof is a finite sequence of sentences each of which is an axiom or follows from preceding sentences in the sequence by a rule of inference. The last sentence in the sequence is a theorem. Given that the system of axioms and rules of inference are effectively specifiable, there is an effective procedure for determining, whenever a finite sequence of sentences is given, whether it is a proof relative to that system. The notion of theorem is not in general effective (decidable). For there may be no method by which we can always find a proof of a given sentence or determine that none exists. The concepts of deduction and consequence are distinct. The first is a syntactical; the second is semantical. It was a discovery that, relative to the axioms and rules of inference of classical logic, a sentence S is deducible from a set of sentences K provided that S is a consequence of K. Compactness is an important consequence of this discovery. It is trivial that sentence S is deducible from K just in case S is deducible from Dedekind cut deductíon 211 4065A-  AM  211 some finite subset of K. It is not trivial that S is a consequence of K just in case S is a consequence of some finite subset of K. This compactness property had to be shown. A system of natural deduction is axiomless. Proofs of theorems within a system are generally easier with natural deduction. Proofs of theorems about a system, such as the results mentioned in the previous paragraph, are generally easier if the system has axioms. In a secondary sense, ‘deduction’ refers to an inference in which a speaker claims the conclusion follows necessarily from the premises.
 AXIOMATIC METHOD, COMPACTNESS THEOREM, EFFECTIVE PROCEDURE, FORMAL SEMANTICS, PROOF THEORY. C.S. deduction, natural.DEDUCTION. deduction, transcendental.KANT. deduction of the categories.KANT. deduction theorem, a result about certain systems of formal logic relating derivability and the conditional. It states that if a formula B is derivable from A (and possibly other assumptions), then the formula APB is derivable without the assumption of A: in symbols, if G 4 {A} Y B then GYAPB. The thought is that, for example, if Socrates is mortal is derivable from the assumptions All men are mortal and Socrates is a man, then If Socrates is a man he is mortal is derivable from All men are mortal. Likewise, If all men are mortal then Socrates is mortal is derivable from Socrates is a man. In general, the deduction theorem is a significant result only for axiomatic or Hilbert-style formulations of logic. In most natural deduction formulations a rule of conditional proof explicitly licenses derivations of APB from G4{A}, and so there is nothing to prove.  DEDUCTION. S.T.K. deductive closure.CLOSURE. deductive completeness.COMPLETENESS. deductive explanation.COVERING LAW MODEL. deductive justification.JUSTIFICATION. deductive-nomological model.COVERING LAW MODEL. deep structure.GRAMMAR, PHILOSOPHY OF LANGUAGE, TRANSFORMATION RULE. default logic, a formal system for reasoning with defaults, developed by Raymond Reiter in 1980. Reiter’s defaults have the form ‘P:MQ1 , . . . , MQn/R’, read ‘If P is believed and Q1 . . . Qn are consistent with one’s beliefs, then R may be believed’. Whether a proposition is consistent with one’s beliefs depends on what defaults have already been applied. Given the defaults P:MQ/Q and R:M-Q/-Q, and the facts P and R, applying the first default yields Q while applying the second default yields -Q. So applying either default blocks the other. Consequently, a default theory may have several default extensions. Normal defaults having the form P:MQ/Q, useful for representing simple cases of nonmonotonic reasoning, are inadequate for more complex cases. Reiter produces a reasonably clean proof theory for normal default theories and proves that every normal default theory has an extension.  DEFEASIBILITY, NON-MONOTONIC LOGIC. D.N. defeasibility, a property that rules, principles, arguments, or bits of reasoning have when they might be defeated by some competitor. For example, the epistemic principle ‘Objects normally have the properties they appear to have’ or the normative principle ‘One should not lie’ are defeated, respectively, when perception occurs under unusual circumstances (e.g., under colored lights) or when there is some overriding moral consideration (e.g., to prevent murder). Apparently declarative sentences such as ‘Birds typically fly’ can be taken in part as expressing defeasible rules: take something’s being a bird as evidence that it flies. Defeasible arguments and reasoning inherit their defeasibility from the use of defeasible rules or principles. Recent analyses of defeasibility include circumscription and default logic, which belong to the broader category of non-monotonic logic. The rules in several of these formal systems contain special antecedent conditions and are not truly defeasible since they apply whenever their conditions are satisfied. Rules and arguments in other non-monotonic systems justify their conclusions only when they are not defeated by some other fact, rule, or argument. John Pollock distinguishes between rebutting and undercutting defeaters. ‘Snow is not normally red’ rebuts (in appropriate circumstances) the principle ‘Things that look red normally are red’, while ‘If the available light is red, do not use the principle that things that look red normally are red’ only undercuts the embedded rule. Pollock has infludeduction, natural defeasibility 212 4065A-  AM  212 enced most other work on formal systems for defeasible reasoning. 
DEFAULT LOGIC, EPISTEMOLOGY, NON-MONOTONIC LOGIC. D.N. defeat of reasons.EPISTEMOLOGY, JUSTIFICATION. definiendum (plural: definienda), the expression that is defined in a definition. The expression that gives the definition is the definiens (plural: definientia). In the definition father, male parent, ‘father’ is the definiendum and ‘male parent’ is the definiens. In the definition ‘A human being is a rational animal’, ‘human being’ is the definiendum and ‘rational animal’ is the definiens. Similar terms are used in the case of conceptual analyses, whether they are meant to provide synonyms or not; ‘definiendum’ for ‘analysandum’ and ‘definiens’ for ‘analysans’. In ‘x knows that p if and only if it is true that p, x believes that p, and x’s belief that p is properly justified’, ‘x knows that p’ is the analysandum and ‘it is true that p, x believes that p, and x’s belief that p is properly justified’ is the analysans.  ANALYSIS, DEFINITION, MEANING. T.Y. definiens.DEFINIENDUM. definist, someone who holds that moral terms, such as ‘right’, and evaluative terms, such as ‘good’ – in short, normative terms – are definable in non-moral, non-evaluative (i.e., non-normative) terms. William Frankena offers a broader account of a definist as one who holds that ethical terms are definable in non-ethical terms. This would allow that they are definable in nonethical but evaluative terms – say, ‘right’ in terms of what is non-morally intrinsically good. Definists who are also naturalists hold that moral terms can be defined by terms that denote natural properties, i.e., properties whose presence or absence can be determined by observational means. They might define ‘good’ as ‘what conduces to pleasure’. Definists who are not naturalists will hold that the terms that do the defining do not denote natural properties, e.g., that ‘right’ means ‘what is commanded by God’. 
ETHICS, MOORE, NATURALISM. B.R. definist fallacy.MOORE. definite description.THEORY OF DESCRIPTIONS. definite description operator.Appendix of Special Symbols. definition, specification of the meaning or, alternatively, conceptual content, of an expression. For example, ‘period of fourteen days’ is a definition of ‘fortnight’. Definitions have traditionally been judged by rules like the following: (1) A definition should not be too narrow. ‘Unmarried adult male psychiatrist’ is too narrow a definition for ‘bachelor’, for some bachelors are not psychiatrists. ‘Having vertebrae and a liver’ is too narrow for ‘vertebrate’, for, even though all actual vertebrate things have vertebrae and a liver, it is possible for a vertebrate thing to lack a liver. (2) A definition should not be too broad. ‘Unmarried adult’ is too broad a definition for ‘bachelor’, for not all unmarried adults are bachelors. ‘Featherless biped’ is too broad for ‘human being’, for even though all actual featherless bipeds are human beings, it is possible for a featherless biped to be non-human. (3) The defining expression in a definition should (ideally) exactly match the degree of vagueness of the expression being defined (except in a precising definition). ‘Adult female’ for ‘woman’ does not violate this rule, but ‘female at least eighteen years old’ for ‘woman’ does. (4) A definition should not be circular. If ‘desirable’ defines ‘good’ and ‘good’ defines ‘desirable’, these definitions are circular. Definitions fall into at least the following kinds: analytical definition: definition whose corresponding biconditional is analytic or gives an analysis of the definiendum: e.g., ‘female fox’ for ‘vixen’, where the corresponding biconditional ‘For any x, x is a vixen if and only if x is a female fox’ is analytic; ‘true in all possible worlds’ for ‘necessarily true’, where the corresponding biconditional ‘For any P, P is necessarily true if and only if P is true in all possible worlds’ gives an analysis of the definiendum. contextual definition: definition of an expression as it occurs in a larger expression: e.g., ‘If it is not the case that Q, then P’ contextually defines ‘unless’ as it occurs in ‘P unless Q’; ‘There is at least one entity that is F and is identical with any entity that is F’ contexdefeat of reasons definition 213 4065A-  AM  213 tually defines ‘exactly one’ as it occurs in ‘There is exactly one F’. Recursive definitions (see below) are an important variety of contextual definition. Another important application of contextual definition is Russell’s theory of descriptions, which defines ‘the’ as it occurs in contexts of the form ‘The so-and-so is such-and-such’. coordinative definition: definition of a theoretical term by non-theoretical terms: e.g., ‘the forty-millionth part of the circumference of the earth’ for ‘meter’. definition by genus and species: When an expression is said to be applicable to some but not all entities of a certain type and inapplicable to all entities not of that type, the type in question is the genus, and the subtype of all and only those entities to which the expression is applicable is the species: e.g., in the definition ‘rational animal’ for ‘human’, the type animal is the genus and the subtype human is the species. Each species is distinguished from any other of the same genus by a property called the differentia. definition in use: specification of how an expression is used or what it is used to express: e.g., ‘uttered to express astonishment’ for ‘my goodness’. Wittgenstein emphasized the importance of definition in use in his use theory of meaning. definition per genus et differentiam: definition by genus and difference; same as definition by genus and species. explicit definition: definition that makes it clear that it is a definition and identifies the expression being defined as such: e.g., ‘Father’ means ‘male parent’; ‘For any x, x is a father by definition if and only if x is a male parent’. implicit definition: definition that is not an explicit definition. lexical definition: definition of the kind commonly thought appropriate for dictionary definitions of natural language terms, namely, a specification of their conventional meaning. nominal definition: definition of a noun (usually a common noun), giving its linguistic meaning. Typically it is in terms of macrosensible characteristics: e.g., ‘yellow malleable metal’ for ‘gold’. Locke spoke of nominal essence and contrasted it with real essence. ostensive definition: definition by an example in which the referent is specified by pointing or showing in some way: e.g., “ ‘Red’ is that color,” where the word ‘that’ is accompanied with a gesture pointing to a patch of colored cloth; “ ‘Pain’ means this,” where ‘this’ is accompanied with an insertion of a pin through the hearer’s skin; “ ‘Kangaroo’ applies to all and only animals like that,” where ‘that’ is accompanied by pointing to a particular kangaroo. persuasive definition: definition designed to affect or appeal to the psychological states of the party to whom the definition is given, so that a claim will appear more plausible to the party than it is: e.g., ‘self-serving manipulator’ for ‘politician’, where the claim in question is that all politicians are immoral. precising definition: definition of a vague expression intended to reduce its vagueness: e.g., ‘snake longer than half a meter and shorter than two meters’ for ‘snake of average length’; ‘having assets ten thousand times the median figure’ for ‘wealthy’. prescriptive definition: stipulative definition that, in a recommendatory way, gives a new meaning to an expression with a previously established meaning: e.g., ‘male whose primary sexual preference is for other males’ for ‘gay’. real definition: specification of the metaphysically necessary and sufficient condition for being the kind of thing a noun (usually a common noun) designates: e.g., ‘element with atomic number 79’ for ‘gold’. Locke spoke of real essence and contrasted it with nominal essence. recursive definition (also called inductive definition and definition by recursion): definition in three clauses in which (1) the expression defined is applied to certain particular items (the base clause); (2) a rule is given for reaching further items to which the expression applies (the recursive, or inductive, clause); and (3) it is stated that the expression applies to nothing else (the closure clause). E.g., ‘John’s parents are John’s ancestors; any parent of John’s ancestor is John’s ancestor; nothing else is John’s ancestor’. By the base clause, John’s mother and father are John’s ancestors. Then by the recursive clause, John’s mother’s parents and John’s father’s parents are John’s ancestors; so are their parents, and so on. Finally, by the last (closure) clause, these people exhaust John’s ancestors. The following defines multiplication in terms of definition definition 214 4065A-  AM  214 addition: ‘0 $ n % 0. (m ! 1) $ n % (m $ n) ! n. Nothing else is the result of multiplying integers’. The base clause tells us, e.g., that 0 $ 4 % 0. The recursive clause tells us, e.g., that (0 ! 1) $ 4 % (0 $ 4) ! 4. We then know that 1 $ 4 % 0 ! 4 % 4. Likewise, e.g., 2 $ 4 % (1 ! 1) $ 4 % (1 $ 4) ! 4 % 4 ! 4 % 8. stipulative definition: definition regardless of the ordinary or usual conceptual content of the expression defined. It postulates a content, rather than aiming to capture the content already associated with the expression. Any explicit definition that introduces a new expression into the language is a stipulative definition: e.g., “For the purpose of our discussion ‘existent’ means ‘perceivable’ “; “By ‘zoobeedoobah’ we shall mean ‘vain millionaire who is addicted to alcohol’.” synonymous definition: definition of a word (or other linguistic expression) by another word synonymous with it: e.g., ‘buy’ for ‘purchase’; ‘madness’ for ‘insanity’. 
ANALYSIS, ESSENTIALISM, MEANING, PHILOSOPHY OF LANGUAGE, THEORY OF DESCRIPTIONS. T.Y. definition, contextual.DEFINITION. definition, explicit.
BETH’S DEFINABILITY THEOREM, DEFINITION. definition, implicit.BETH’S DEFINABILITY THEOREM. definition in use.DEFINITION, LOGICAL CONSTRUCTION. deflationary theory of truth.PHILOSOPHY OF LANGUAGE, TRUTH. degenerate case, an expression used more or less loosely to indicate an individual or class that falls outside of a given background class to which it is otherwise very closely related, often in virtue of an ordering of a more comprehensive class. A degenerate case of one class is often a limiting case of a more comprehensive class. Rest (zero velocity) is a degenerate case of motion (positive velocity) while being a limiting case of velocity. The circle is a degenerate case of an equilateral and equiangular polygon. In technical or scientific contexts, the conventional term for the background class is often “stretched” to cover otherwise degenerate cases. A figure composed of two intersecting lines is a degenerate case of hyperbola in the sense of synthetic geometry, but it is a limiting case of hyperbola in the sense of analytic geometry. The null set is a degenerate case of set in an older sense but a limiting case of set in a modern sense. A line segment is a degenerate case of rectangle when rectangles are ordered by ratio of length to width, but it is not a limiting case under these conditions. 
BORDERLINE CASE, LIMITING CASE. J.Cor. degree, also called arity, adicity, in formal languages, a property of predicate and function expressions that determines the number of terms with which the expression is correctly combined to yield a well-formed expression. If an expression combines with a single term to form a wellformed expression, it is of degree one (monadic, singulary). Expressions that combine with two terms are of degree two (dyadic, binary), and so on. Expressions of degree greater than or equal to two are polyadic. The formation rules of a formalized language must effectively specify the degrees of its primitive expressions as part of the effective determination of the class of wellformed formulas. Degree is commonly indicated by an attached superscript consisting of an Arabic numeral. Formalized languages have been studied that contain expressions having variable degree (or variable adicity) and that can thus combine with any finite number of terms. An abstract relation that would be appropriate as extension of a predicate expression is subject to the same terminology, and likewise for function expressions and their associated functions. 
degree of unsolvability, a maximal set of equally complex sets of natural numbers, with comparative complexity of sets of natural numbers construed as recursion-theoretic reducibility ordering. Recursion theorists investigate various notions of reducibility between sets of natural numbers, i.e., various ways of filling in the following schematic definition. For sets A and B of natural numbers: A is reducible to B iff (if and only if) there is an algorithm whereby each membership question about A (e.g., ‘17 1 A?’) could be answered allowing consultation of an definition, contextual degree of unsolvability 215 4065A-  AM  215 “oracle” that would correctly answer each membership question about B. This does not presuppose that there is a “real” oracle for B; the motivating idea is counterfactual: A is reducible to B iff: if membership questions about B were decidable then membership questions about A would also be decidable. On the other hand, the mathematical definitions of notions of reducibility involve no subjunctive conditionals or other intensional constructions. The notion of reducibility is determined by constraints on how the algorithm could use the oracle. Imposing no constraints yields T-reducibility (‘T’ for Turing), the most important and most studied notion of reducibility. Fixing a notion r of reducibility: A is r-equivalent to B iff A is r-reducible to B and B is rreducible to A. If r-reducibility is transitive, r-equivalence is an equivalence relation on the class of sets of natural numbers, one reflecting a notion of equal complexity for sets of natural numbers. A degree of unsolvability relative to r (an r-degree) is an equivalence class under that equivalence relation, i.e., a maximal class of sets of natural numbers any two members of which are r-equivalent, i.e., a maximal class of equally complex (in the sense of r-reducibility) sets of natural numbers. The r-reducibility-ordering of sets of natural numbers transfers to the rdegrees: for d and dH r-degrees, let d m, dH iff for some A 1 d and B 1 dH A is r-reducible to B. The study of r-degrees is the study of them under this ordering. The degrees generated by T-reducibility are the Turing degrees. Without qualification, ‘degree of unsolvability’ means ‘Turing degree’. The least Tdegree is the set of all recursive (i.e., using Church’s thesis, solvable) sets of natural numbers. So the phrase ‘degree of unsolvability’ is slightly misleading: the least such degree is “solvability.” By effectively coding functions from natural numbers to natural numbers as sets of natural numbers, we may think of such a function as belonging to a degree: that of its coding set. Recursion theorists have extended the notions of reducibility and degree of unsolvability to other domains, e.g. transfinite ordinals and higher types taken over the natural numbers. 
deism, the view that true religion is natural religion. Some self-styled Christian deists accepted revelation although they argued that its content is essentially the same as natural religion. Most deists dismissed revealed religion as a fiction. God wants his creatures to be happy and has ordained virtue as the means to it. Since God’s benevolence is disinterested, he will ensure that the knowledge needed for happiness is universally accessible. Salvation cannot, then, depend on special revelation. True religion is an expression of a universal human nature whose essence is reason and is the same in all times and places. Religious traditions such as Christianity and Islam originate in credulity, political tyranny, and priestcraft, which corrupt reason and overlay natural religion with impurities. Deism is largely a seventeenth- and eighteenth-century phenomenon and was most prominent in England. Among the more important English deists were John Toland (1670–1722), Anthony Collins (1676–1729), Herbert of Cherbury (1583–1648), Matthew Tindal (1657–1733), and Thomas Chubb (1679–1747). Continental deists included Voltaire and Reimarus. Thomas Paine and Elihu Palmer (1764–1806) were prominent American deists. Orthodox writers in this period use ‘deism’ as a vague term of abuse. By the late eighteenth century, the term came to mean belief in an “absentee God” who creates the world, ordains its laws, and then leaves it to its own devices. 
de Maistre, Joseph-Marie (1753–1821), French political theorist, diplomat, and Roman Catholic exponent of theocracy. He was educated by the Jesuits in Turin. His counterrevolutionary political philosophy aimed at restoring the foundations of morality, the family, society, and the state in postrevolutionary Europe. Against Enlightenment ideals, he reclaimed Thomism, defended the hereditary and absolute monarchy, and championed ultramontanism (The Pope, 1821). Considerations on France (1796) argues that the decline of moral and religious values was responsible for the “satanic” 1789 revolution. Hence Christianity and Enlightenment philosophy were engaged in a fight to the death that he claimed the church would eventually win. Deeply pessimistic about human nature, the Essay on the Generating Principle of Political Constitutions (1810) traces the origin of authority in the human craving for order and discipline. Saint deism de Maistre, Joseph-Marie 216 4065A-  AM  216 Petersburg Evenings (1821) urges philosophy to surrender to religion and reason to faith. J.-L.S. demarcation, the line separating empirical science from mathematics and logic, from metaphysics, and from pseudoscience. Science traditionally was supposed to rely on induction, the formal disciplines (including metaphysics) on deduction. In the verifiability criterion, the logical positivists identified the demarcation of empirical science from metaphysics with the demarcation of the cognitively meaningful from the meaningless, classifying metaphysics as gibberish, and logic and mathematics, more charitably, as without sense. Noting that, because induction is invalid, the theories of empirical science are unverifiable, Popper proposed falsifiability as their distinguishing characteristic, and remarked that some metaphysical doctrines, such as atomism, are obviously meaningful. It is now recognized that science is suffused with metaphysical ideas, and Popper’s criterion is therefore perhaps a (rather rough) criterion of demarcation of the empirical from the nonempirical rather than of the scientific from the non-scientific. It repudiates the unnecessary task of demarcating the cognitively meaningful from the cognitively meaningless. 
demiurge (from Greek demiourgos, ‘artisan’, ‘craftsman’), a deity who shapes the material world from the preexisting chaos. Plato introduces the demiurge in his Timaeus. Because he is perfectly good, the demiurge wishes to communicate his own goodness. Using the Forms as a model, he shapes the initial chaos into the best possible image of these eternal and immutable archetypes. The visible world is the result. Although the demiurge is the highest god and the best of causes, he should not be identified with the God of theism. His ontological and axiological status is lower than that of the Forms, especially the Form of the Good. He is also limited. The material he employs is not created by him. Furthermore, it is disorderly and indeterminate, and thus partially resists his rational ordering. In gnosticism, the demiurge is the ignorant, weak, and evil or else morally limited cause of the cosmos. In the modern era the term has occasionally been used for a deity who is limited in power or knowledge. Its first occurrence in this sense appears to be in J. S. Mill’s Theism (1874). 
Democritus (c.460–c.370 B.C.), Greek preSocratic philosopher. He was born at Abdera, in Thrace. Building on Leucippus and his atomism, he developed the atomic theory in The Little World-system and numerous other writings. In response to the Eleatics’ argument that the impossibility of not-being entailed that there is no change, the atomists posited the existence of a plurality of tiny indivisible beings – the atoms – and not-being – the void, or empty space. Atoms do not come into being or perish, but they do move in the void, making possible the existence of a world, and indeed of many worlds. For the void is infinite in extent, and filled with an infinite number of atoms that move and collide with one another. Under the right conditions a concentration of atoms can begin a vortex motion that draws in other atoms and forms a spherical heaven enclosing a world. In our world there is a flat earth surrounded by heavenly bodies carried by a vortex motion. Other worlds like ours are born, flourish, and die, but their astronomical configurations may be different from ours and they need not have living creatures in them. The atoms are solid bodies with countless shapes and sizes, apparently having weight or mass, and capable of motion. All other properties are in some way derivative of these basic properties. The cosmic vortex motion causes a sifting that tends to separate similar atoms as the sea arranges pebbles on the shore. For instance heavier atoms sink to the center of the vortex, and lighter atoms such as those of fire rise upward. Compound bodies can grow by the aggregations of atoms that become entangled with one another. Living things, including humans, originally emerged out of slime. Life is caused by fine, spherical soul atoms, and living things die when these atoms are lost. Human culture gradually evolved through chance discoveries and imitations of nature. Because the atoms are invisible and the only real properties are properties of atoms, we cannot have direct knowledge of anything. Tastes, temperatures, and colors we know only “by convention.” In general the senses cannot give us anything but “bastard” knowledge; but there is a “legitimate” knowledge based on reason, which takes over where the senses leave off – presumably demonstrating that there are atoms that the senses cannot testify of. Democritus offers a causal theory of perception – sometimes called the theory of effluxes – accounting for tastes in terms of certain shapes of atoms and for sight in demarcation Democritus 217 4065A-  AM  217 terms of “effluences” or moving films of atoms that impinge on the eye. Drawing on both atomic theory and conventional wisdom, Democritus develops an ethics of moderation. The aim of life is equanimity (euthumiê), a state of balance achieved by moderation and proportionate pleasures. Envy and ambition are incompatible with the good life. Although Democritus was one of the most prolific writers of antiquity, his works were all lost. Yet we can still identify his atomic theory as the most fully worked out of pre-Socratic philosophies. His theory of matter influenced Plato’s Timaeus, and his naturalist anthropology became the prototype for liberal social theories. Democritus had no immediate successors, but a century later Epicurus transformed his ethics into a philosophy of consolation founded on atomism. Epicureanism thus became the vehicle through which atomic theory was transmitted to the early modern period.  PRE-SOCRATICS. D.W.G. demonstration.PROOF THEORY. demonstrative.INDEXICAL. demonstrative inference.INFERENCE. demonstrative reasoning.INFERENCE. demonstrative syllogism.ARISTOTLE. De Morgan, Augustus (1806–71), prolific British mathematician, logician, and philosopher of mathematics and logic. He is remembered chiefly for several lasting contributions to logic and philosophy of logic, including discovery and deployment of the concept of universe of discourse, the cofounding of relational logic, adaptation of what are now known as De Morgan’s laws, and several terminological innovations including the expression ‘mathematical induction’. His main logical works, the monograph Formal Logic (1847) and the series of articles “On the Syllogism” (1846–62), demonstrate wide historical and philosophical learning, synoptic vision, penetrating originality, and disarming objectivity. His relational logic treated a wide variety of inferences involving propositions whose logical forms were significantly more complex than those treated in the traditional framework stemming from Aristotle, e.g. ‘If every doctor is a teacher, then every ancestor of a doctor is an ancestor of a teacher’. De Morgan’s conception of the infinite variety of logical forms of propositions vastly widens that of his predecessors and even that of his able contemporaries such as Boole, Hamilton, Mill, and Whately. De Morgan did as much as any of his contemporaries toward the creation of modern mathematical logic. 
DE MORGAN’S LAWS, LOGICAL FORM, RELATIONAL LOGIC, UNIVERSE OF DISCOURSE. J.Cor.
De Morgan’s laws, the logical principles - (A 8 B) S - A 7 - B, - (A 7 B) S - A 8 - B, - (-A 8 - B) S A 7 B, and - (- A 7 - B) S A 8 B, though the term is occasionally used to cover only the first two. 

Dennett, Daniel C(lement) (b.1942), American philosopher, author of books on topics in the philosophy of mind, free will, and evolutionary biology, and tireless advocate of the importance of philosophy for empirical work on evolution and on the nature of the mind. Dennett is perhaps best known for arguing that a creature (or, more generally, a system), S, possesses states of mind if and only if the ascription of such states to S facilitates explanation and prediction of S’s behavior (The Intentional Stance, 1987). (S might be a human being, a chimpanzee, a desktop computer, or a thermostat.) In ascribing beliefs and desires to S we take up an attitude toward S, the intentional stance. We could just as well (although for different purposes) take up other stances: the design stance (we understand S as a kind of engineered system) or the physical stance (we regard S as a purely physical system). It might seem that, although we often enough ascribe beliefs and desires to desktop computers and thermostats, we do not mean to do so literally – as with people. Dennett’s contention, however, is that there is nothing more (nor less) to having beliefs, desires, and other states of mind than being explicable by reference to such things. This, he holds, is not to demean beliefs, but only to affirm that to have a belief is to be describable in this particular way. If you are so describable, then it is true, literally true, that you have beliefs. Dennett extends this approach to consciousness, which he views not as an inwardly observable performance taking place in a “Cartesian Theater,” demonstration Dennett, Daniel C(lement) 218 4065A-  AM  218 but as a story we tell about ourselves, the compilation of “multiple drafts” concocted by neural subsystems (see Conciousness Explained, 1991). Elsewhere (Darwin’s Dangerous Idea, 1995) Dennett has argued that principles of Darwinian selection apply to diverse domains including cosmology and human culture, and offered a compatibilist account of free will with an emphasis on agents’ control over their actions (Elbow Room, 1984).  DARWINISM, FREE WILL PROBLEM, FUNCTIONALISM, INTENTIONALITY, PHILOSOPHY OF MIND. J.F.H. denotation, the thing or things that an expression applies to; extension. The term is used in contrast with ‘meaning’ and ‘connotation’. A pair of expressions may apply to the same things, i.e., have the same denotation, yet differ in meaning: ‘triangle’, ‘trilateral’; ‘creature with a heart’, ‘creature with a kidney’; ‘bird’, ‘feathered earthling’; ‘present capital of France’, ‘City of Light’. If a term does not apply to anything, some will call it denotationless, while others would say that it denotes the empty set. Such terms may differ in meaning: ‘unicorn’, ‘centaur’, ‘square root of pi’. Expressions may apply to the same thing(s), yet bring to mind different associations, i.e., have different connotations: ‘persistent’, ‘stubborn’, ‘pigheaded’; ‘white-collar employee’, ‘office worker’, ‘professional paper-pusher’; ‘Lewis Carroll’, ‘Reverend Dodgson’. There can be confusion about the denotation-connotation terminology, because this pair is used to make other contrasts. Sometimes the term ‘connotation’ is used more broadly, so that any difference of either meaning or association is considered a difference of connotation. Then ‘creature with a heart’ and ‘creature with a liver’ might be said to denote the same individuals (or sets) but to connote different properties. In a second use, denotation is the semantic value of an expression. Sometimes the denotation of a general term is said to be a property, rather than the thing(s) having the property. This occurs when the denotation-connotation terminology is used to contrast the property expressed with the connotation. Thus ‘persistent’ and ‘pig-headed’ might be said to denote the same property but differ in connotation.  CONNOTATION, EXTENSIONALISM, INTENSION, MEANING, PHILOSOPHY OF LANGUAGE. T.M. denotative meaning.MEANING. denoting concept.RUSSELL. dense ordering.ORDERING. denumerable.INFINITY. denying the antecedent.FORMAL FALLACY. Deodorus Cronos.MEGARIANS. deontic logic, the logic of obligation and permission. There are three principal types of formal deontic systems. (1) Standard deontic logic, or SDL, results from adding a pair of monadic deontic operators O and P, read as “it ought to be that” and “it is permissible that,” respectively, to the classical propositional calculus. SDL contains the following axioms: tautologies of propositional logic, OA S - P - A, OA / - O - A, O(A / B) / (OA / OB), and OT, where T stands for any tautology. Rules of inference are modus ponens and substitution. (See the survey of SDL by Dagfinn Follesdal and Risto Hilpinin in R. Hilpinin, ed., Deontic Logic, 1971.) (2) Dyadic deontic logic is obtained by adding a pair of dyadic deontic operators O( / ) and P( / ), to be read as “it ought to be that . . . , given that . . .” and “it is permissible that . . . , given that . . . ,” respectively. The SDL monadic operator O is defined as OA S O(A/T); i.e., a statement of absolute obligation OA becomes an obligation conditional on tautologous conditions. A statement of conditional obligation O(A/B) is true provided that some value realized at some B-world where A holds is better than any value realized at any B-world where A does not hold. This axiological construal of obligation is typically accompanied by these axioms and rules of inference: tautologies of propositional logic, modus ponens, and substitution, P(A/C) S - O(-A/C), O(A & B/C) S [O(A/C) & O(B/C)], O(A/C) / P(A/C), O(T/C) / O(C/C), O(T/C) / O(T/B 7 C), [O(A/B) & O(A/C)] / O(A/B 7 C), [P(B/B 7 C) & O(A/B 7 C)] / O(A/B), and [P(< is the negation of any tautology. (See the comparison of alternative dyadic systems in Lennart Aqvist, Introduction to Deontic Logic and the Theory of Normative Systems, 1987.) (3) Two-sorted deontic logic, due to Castañeda (Thinking and Doing, 1975), pivotally distinguishes between propositions, the bearers of truth-values, and practitions, the contents of commands, imperatives, requests, and such. Deontic operators apply to practitions, yielding propositions. The deontic operators Oi, Pi, Wi, and li are read as “it is obligatory i that,” “it is permissible i that,” “it is wrong i that,” and “it is optional i denotation deontic logic 219 4065A-  AM  219 that,” respectively, where i stands for any of the various types of obligation, permission, and so on. Let p stand for indicatives, where these express propositions; let A and B stand for practitives, understood to express practitions; and allow p* to stand for both indicatives and practitives. For deontic definition there are PiA S - Oi - A, WiA S Oi - A, and LiA S (- OiA & - Oi - A). Axioms and rules of inference include p*, if p* has the form of a truth-table tautology, OiA / - Oi - A, O1A / A, where O1 represents overriding obligation, modus ponens for both indicatives and practitives, and the rule that if (p & A1 & . . . & An) / B is a theorem, so too is (p & OiA1 & . . . & OiAn) / OiB.  DEONTIC PARADOXES, FORMAL LOGIC, MODAL LOGIC. J.E.T. deontic operator.DEONTIC LOGIC. deontic paradoxes, the paradoxes of deontic logic, which typically arise as follows: a certain set of English sentences about obligation or permission appears logically consistent, but when these same sentences are represented in a proposed system of deontic logic the result is a formally inconsistent set. To illustrate, a formulation is provided below of how two of these paradoxes beset standard deontic logic. The contrary-to-duty imperative paradox, made famous by Chisholm (Analysis, 1963), arises from juxtaposing two apparent truths: first, some of us sometimes do what we should not do; and second, when such wrongful doings occur it is obligatory that the best (or a better) be made of an unfortunate situation. Consider this scenario. Art and Bill share an apartment. For no good reason Art develops a strong animosity toward Bill. One evening Art’s animosity takes over, and he steals Bill’s valuable lithographs. Art is later found out, apprehended, and brought before Sue, the duly elected local punishment-and-awards official. An inquiry reveals that Art is a habitual thief with a history of unremitting parole violation. In this situation, it seems that (1)–(4) are all true (and hence mutually consistent): (1) Art steals from Bill. (2) If Art steals from Bill, Sue ought to punish Art for stealing from Bill. (3) It is obligatory that if Art does not steal from Bill, Sue does not punish him for stealing from Bill. (4) Art ought not to steal from Bill. Turning to standard deontic logic, or SDL, let sstand for ‘Art steals from Bill’ and let p stand for ‘Sue punishes Art for stealing from Bill’. Then (1)–(4) are most naturally represented in SDL as follows: (1a) s. (2a) s / Op. (3a) O(- s / - p). (4a) O - s. Of these, (1a) and (2a) entail Op by propositional logic; next, given the SDL axiom O(A / B) / (OA / OB), (3a) implies O - s / O - p; but the latter, taken in conjunction with (4a), entails O - p by propositional logic. In the combination of Op, O - p, and the axiom OA / - O - A, of course, we have a formally inconsistent set. The paradox of the knower, first presented by Lennart Bqvist (Noûs, 1967), is generated by these apparent truths: first, some of us sometimes do what we should not do; and second, there are those who are obligated to know that such wrongful doings occur. Consider the following scenario. Jones works as a security guard at a local store. One evening, while Jones is on duty, Smith, a disgruntled former employee out for revenge, sets the store on fire just a few yards away from Jones’s work station. Here it seems that (1)–(3) are all true (and thus jointly consistent): (1) Smith set the store on fire while Jones was on duty. (2) If Smith set the store on fire while Jones was on duty, it is obligatory that Jones knows that Smith set the store on fire. (3) Smith ought not set the store on fire. Independently, as a consequence of the concept of knowledge, there is the epistemic theorem that (4) The statement that Jones knows that Smith set the store on fire entails the statement that Smith set the store on fire. Next, within SDL (1) and (2) surely appear to imply: (5) It is obligatory that Jones knows that Smith set the store on fire. But (4) and (5) together yield (6) Smith ought to set the store on fire, given the SDL theorem that if A / B is a theorem, so is OA / OB. And therein resides the paradox: not only does (6) appear false, the conjunction of (6) and (3) is formally inconsistent with the SDL axiom OA / - O - A. The overwhelming verdict among deontic logicians is that SDL genuinely succumbs to the deontic operator deontic paradoxes 220 4065A-  AM  220 deontic paradoxes. But it is controversial what other approach is best followed to resolve these puzzles. Two of the most attractive proposals are Castañeda’s two-sorted system (Thinking and Doing, 1975), and the agent-and-time relativized approach of Fred Feldman (Philosophical Perspectives, 1990).  DEONTIC LOGIC, FORMAL LOGIC, MORAL DILEMMA, SET-THEORETIC PARADOXES. J.E.T. deontological ethics.ETHICS. deontologism, epistemic.EPISTEMIC DEONTOLOGISM. dependence, in philosophy, a relation of one of three main types: epistemic dependence, or dependence in the order of knowing; conceptual dependence, or dependence in the order of understanding; and ontological dependence, or dependence in the order of being. When a relation of dependence runs in one direction only, we have a relation of priority. For example, if wholes are ontologically dependent on their parts, but the latter in turn are not ontologically dependent on the former, one may say that parts are ontologically prior to wholes. The phrase ‘logical priority’ usually refers to priority of one of the three varieties to be discussed here. Epistemic dependence. To say that the facts in some class B are epistemically dependent on the facts in some other class A is to say this: one cannot know any fact in B unless one knows some fact in A that serves as one’s evidence for the fact in B. For example, it might be held that to know any fact about one’s physical environment (e.g., that there is a fire in the stove), one must know (as evidence) some facts about the character of one’s own sensory experience (e.g., that one is feeling warm and seeing flames). This would be to maintain that facts about the physical world are epistemically dependent on facts about sensory experience. If one held in addition that the dependence is not reciprocal – that one can know facts about one’s sensory experience without knowing as evidence any facts about the physical world – one would be maintaining that the former facts are epistemically prior to the latter facts. Other plausible (though sometimes disputed) examples of epistemic priority are the following: facts about the behavior of others are epistemically prior to facts about their mental states; facts about observable objects are epistemically prior to facts about the invisible particles postulated by physics; and singular facts (e.g., this crow is black) are epistemically prior to general facts (e.g., all crows are black). Is there a class of facts on which all others epistemically depend and that depend on no further facts in turn – a bottom story in the edifice of knowledge? Some foundationalists say yes, positing a level of basic or foundational facts that are epistemically prior to all others. Empiricists are usually foundationalists who maintain that the basic level consists of facts about immediate sensory experience. Coherentists deny the need for a privileged stratum of facts to ground the knowledge of all others; in effect, they deny that any facts are epistemically prior to any others. Instead, all facts are on a par, and each is known in virtue of the way in which it fits in with all the rest. Sometimes it appears that two propositions or classes of them each epistemically depend on the other in a vicious way – to know A, you must first know B, and to know B, you must first know A. Whenever this is genuinely the case, we are in a skeptical predicament and cannot know either proposition. For example, Descartes believed that he could not be assured of the reliability of his own cognitions until he knew that God exists and is not a deceiver; yet how could he ever come to know anything about God except by relying on his own cognitions? This is the famous problem of the Cartesian circle. Another example is the problem of induction as set forth by Hume: to know that induction is a legitimate mode of inference, one would first have to know that the future will resemble the past; but since the latter fact is establishable only by induction, one could know it only if one already knew that induction is legitimate. Solutions to these problems must show that contrary to first appearances, there is a way of knowing one of the problematic propositions independently of the other. Conceptual dependence. To say that B’s are conceptually dependent on A’s means that to understand what a B is, you must understand what an A is, or that the concept of a B can be explained or understood only through the concept of an A. For example, it could plausibly be claimed that the concept uncle can be understood only in terms of the concept male. Empiricists typically maintain that we understand what an external thing like a tree or a table is only by knowing what experiences it would induce in us, so that the concepts we apply to physical things depend on the concepts we apply to our experideontological ethics dependence 221 4065A-  AM  221 ences. They typically also maintain that this dependence is not reciprocal, so that experiential concepts are conceptually prior to physical concepts. Some empiricists argue from the thesis of conceptual priority just cited to the corresponding thesis of epistemic priority – that facts about experiences are epistemically prior to facts about external objects. Turning the tables, some foes of empiricism maintain that the conceptual priority is the other way about: that we can describe and understand what kind of experience we are undergoing only by specifying what kind of object typically causes it (“it’s a smell like that of pine mulch”). Sometimes they offer this as a reason for denying that facts about experiences are epistemically prior to facts about physical objects. Both sides in this dispute assume that a relation of conceptual priority in one direction excludes a relation of epistemic priority in the opposite direction. But why couldn’t it be the case both that facts about experiences are epistemically prior to facts about physical objects and that concepts of physical objects are conceptually prior to concepts of experiences? How the various kinds of priority and dependence are connected (e.g., whether conceptual priority implies epistemic priority) is a matter in need of further study. Ontological dependence. To say that entities of one sort (the B’s) are ontologically dependent on entities of another sort (the A’s) means this: no B can exist unless some A exists; i.e., it is logically or metaphysically necessary that if any B exists, some A also exists. Ontological dependence may be either specific (the existence of any B depending on the existence of a particular A) or generic (the existence of any B depending merely on the existence of some A or other). If B’s are ontologically dependent on A’s, but not conversely, we may say that A’s are ontologically prior to B’s. The traditional notion of substance is often defined in terms of ontological priority – substances can exist without other things, as Aristotle said, but the others cannot exist without them. Leibniz believed that composite entities are ontologically dependent on simple (i.e., partless) entities – that any composite object exists only because it has certain simple elements that are arranged in a certain way. Berkeley, J. S. Mill, and other phenomenalists have believed that physical objects are ontologically dependent on sensory experiences – that the existence of a table or a tree consists in the occurrence of sensory experiences in certain orderly patterns. Spinoza believed that all finite beings are ontologically dependent on God and that God is ontologically dependent on nothing further; thus God, being ontologically prior to everything else, is in Spinoza’s view the only substance. Sometimes there are disputes about the direction in which a relationship of ontological priority runs. Some philosophers hold that extensionless points are prior to extended solids, others that solids are prior to points; some say that things are prior to events, others that events are prior to things. In the face of such disagreement, still other philosophers (such as Goodman) have suggested that nothing is inherently or absolutely prior to anything else: A’s may be prior to B’s in one conceptual scheme, B’s to A’s in another, and there may be no saying which scheme is correct. Whether relationships of priority hold absolutely or only relative to conceptual schemes is one issue dividing realists and anti-realists.  FOUNDATIONALISM, IDEALISM, METAPHYSICAL REALISM, PHENOMENALISM, SUBSTANCE, SUPERVENIENCE. J.V.C. dependence, causal.CAUSATION. dependence, epistemic.DEPENDENCE. dependence, ontological.DEPENDENCE. dependent beauty.BEAUTY. depiction, pictorial representation, also sometimes called “iconic representation.” Linguistic representation is conventional: it is only by virtue of a convention that the word ‘cats’ refers to cats. A picture of a cat, however, seems to refer to cats by other than conventional means; for viewers can correctly interpret pictures without special training, whereas people need special training to learn languages. Though some philosophers, such as Goodman (Languages of Art), deny that depiction involves a non-conventional element, most are concerned to give an account of what this non-conventional element consists in. Some hold that it consists in resemblance: pictures refer to their objects partly by resembling them. Objections to this are that anything resembles anything else to some degree; and that resemblance is a symmetric and reflexive relation, whereas depiction is not. Other philosophers avoid direct appeal to resemblance: Richard Wollheim (Painting as an Art) argues that depiction holds by virtue of the intentional deployment of the natural human capacity to see objects in marked surfaces; and dependence, causal depiction 222 4065A-  AM  222 Kendall Walton (Mimesis as Make-Believe) argues that depiction holds by virtue of objects serving as props in reasonably rich and vivid visual games of make-believe.  MIMESIS, PEIRCE. B.Ga. de re.DE DICTO. de re necessity.NECESSITY. derivation.DEDUCTION. derivational logicism.LOGICISM. Derrida, Jacques (b.1930), French philosopher, author of deconstructionism, and leading figure in the postmodern movement. Postmodern thought seeks to move beyond modernism by revealing inconsistencies or aporias within the Western European tradition from Descartes to the present. These aporias are largely associated with onto-theology, a term coined by Heidegger to characterize a manner of thinking about being and truth that ultimately grounds itself in a conception of divinity. Deconstruction is the methodology of revelation: it typically involves seeking out binary oppositions defined interdependently by mutual exclusion, such as good and evil or true and false, which function as founding terms for modern thought. The ontotheological metaphysics underlying modernism is a metaphysics of presence: to be is to be present, finally to be absolutely present to the absolute, that is, to the divinity whose own being is conceived as presence to itself, as the coincidence of being and knowing in the Being that knows all things and knows itself as the reason for the being of all that is. Divinity thus functions as the measure of truth. The aporia here, revealed by deconstruction, is that this modernist measure of truth cannot meet its own measure: the coincidence of what is and what is known is an impossibility for finite intellects. Major influences on Derrida include Hegel, Freud, Heidegger, Sartre, Saussure, and structuralist thinkers such as Lévi-Strauss, but it was his early critique of Husserl, in Introduction à “L’Origine de la géometrie” de Husserl (1962), that gained him recognition as a critic of the phenomenological tradition and set the conceptual framework for his later work. Derrida sought to demonstrate that the origin of geometry, conceived by Husserl as the guiding paradigm for Western thought, was a supratemporal ideal of perfect knowing that serves as the goal of human knowledge. Thus the origin of geometry is inseparable from its end or telos, a thought that Derrida later generalizes in his deconstruction of the notion of origin as such. He argues that this ideal cannot be realized in time, hence cannot be grounded in lived experience, hence cannot meet the “principle of principles” Husserl designated as the prime criterion for phenomenology, the principle that all knowing must ground itself in consciousness of an object that is coincidentally conscious of itself. This revelation of the aporia at the core of phenomenology in particular and Western thought in general was not yet labeled as a deconstruction, but it established the formal structure that guided Derrida’s later deconstructive revelations of the metaphysics of presence underlying the modernism in which Western thought culminates. 
DECONSTRUCTION, HEIDEGGER, PHENOMENOLOGY, POSTMODERN. M.C.D. Descartes, René (1596–1650), French philosopher and mathematician, a founder of the “modern age” and perhaps the most important figure in the intellectual revolution of the seventeenth century in which the traditional systems of understanding based on Aristotle were challenged and, ultimately, overthrown. His conception of philosophy was all-embracing: it encompassed mathematics and the physical sciences as well as psychology and ethics, and it was based on what he claimed to be absolutely firm and reliable metaphysical foundations. His approach to the problems of knowledge, certainty, and the nature of the human mind played a major part in shaping the subsequent development of philosophy. Life and works. Descartes was born in a small town near Tours that now bears his name. He was brought up by his maternal grandmother (his mother having died soon after his birth), and at the age of ten he was sent to the recently founded Jesuit college of La Flèche in Anjou, where he remained as a boarding pupil for nine years. At La Flèche he studied classical literature and traditional classics-based subjects such as history and rhetoric as well as natural philosophy (based on the Aristotelian system) and theology. He later wrote of La Flèche that he considered it “one of the best schools in Europe,” but that, as regards the philosophy he had learned there, he saw that “despite being cultivated for many centuries by the best minds, it contained no point which was not disputed and hence doubtful.” At age twenty-two (having taken a law degree de re Descartes, René 223 4065A-  AM  223 at Poitiers), Descartes set out on a series of travels in Europe, “resolving,” as he later put it, “to seek no knowledge other than that which could be found either in myself or the great book of the world.” The most important influence of this early period was Descartes’s friendship with the Dutchman Isaac Beeckman, who awakened his lifelong interest in mathematics – a science in which he discerned precision and certainty of the kind that truly merited the title of scientia (Descartes’s term for genuine systematic knowledge based on reliable principles). A considerable portion of Descartes’s energies as a young man was devoted to pure mathematics: his essay on Geometry (published in 1637) incorporated results discovered during the 1620s. But he also saw mathematics as the key to making progress in the applied sciences; his earliest work, the Compendium Musicae, written in 1618 and dedicated to Beeckman, applied quantitative principles to the study of musical harmony and dissonance. More generally, Descartes saw mathematics as a kind of paradigm for all human understanding: “those long chains composed of very simple and easy reasonings, which geometers customarily use to arrive at their most difficult demonstrations, gave me occasion to suppose that all the things which fall within the scope of human knowledge are interconnected in the same way” (Discourse on the Method, Part II). In the course of his travels, Descartes found himself closeted, on November 10, 1619, in a “stove-heated room” in a town in southern Germany, where after a day of intense meditation, he had a series of vivid dreams that convinced him of his mission to found a new scientific and philosophical system. After returning to Paris for a time, he emigrated to Holland in 1628, where he was to live (though with frequent changes of address) for most of the rest of his life. By 1633 he had ready a treatise on cosmology and physics, Le Monde; but he cautiously withdrew the work from publication when he heard of the condemnation of Galileo by the Inquisition for rejecting (as Descartes himself did) the traditional geocentric theory of the universe. But in 1637 Descartes released for publication, in French, a sample of his scientific work: three essays entitled the Optics, Meteorology, and Geometry. Prefaced to that selection was an autobiographical introduction entitled Discourse on the Method of rightly conducting one’s reason and reaching the truth in the sciences. This work, which includes discussion of a number of scientific issues such as the circulation of the blood, contains (in Part IV) a summary of Descartes’s views on knowledge, certainty, and the metaphysical foundations of science. Criticisms of his arguments here led Descartes to compose his philosophical masterpiece, the Meditations on First Philosophy, published in Latin in 1641 – a dramatic account of the voyage of discovery from universal doubt to certainty of one’s own existence, and the subsequent struggle to establish the existence of God, the nature and existence of the external world, and the relation between mind and body. The Meditations aroused enormous interest among Descartes’s contemporaries, and six sets of objections by celebrated philosophers and theologians (including Mersenne, Hobbes, Arnauld, and Gassendi) were published in the same volume as the first edition (a seventh set, by the Jesuit Pierre Bourdin, was included in the second edition of 1642). A few years later, Descartes published, in Latin, a mammoth compendium of his metaphysical and scientific views, the Principles of Philosophy, which he hoped would become a university textbook to rival the standard texts based on Aristotle. In the later 1640s, Descartes became interested in questions of ethics and psychology, partly as a result of acute questions about the implications of his system raised by Princess Elizabeth of Bohemia in a long and fruitful correspondence. The fruits of this interest were published in 1649 in a lengthy French treatise entitled The Passions of the Soul. The same year, Descartes accepted (after much hesitation) an invitation to go to Stockholm to give philosophical instruction to Queen Christina of Sweden. He was required to provide tutorials at the royal palace at five o’clock in the morning, and the strain of this break in his habits (he had maintained the lifelong custom of lying in bed late into the morning) led to his catching pneumonia. He died just short of his fifty-fourth birthday. The Cartesian system. In a celebrated simile, Descartes described the whole of philosophy as like a tree: the roots are metaphysics, the trunk physics, and the branches are the various particular sciences, including mechanics, medicine, and morals. The analogy captures at least three important features of the Cartesian system. The first is its insistence on the essential unity of knowledge, which contrasts strongly with the Aristotelian conception of the sciences as a series of separate disciplines, each with its own methods and standards of precision. The sciences, as Descartes put it in an early notebook, are all “linked together” in a sequence that is in principle as simple and straightforward as the series of numbers. The second point conveyed by the tree simile is the utility of philosophy for ordinary living: the tree is valued for its fruits, and these are gathered, Descartes points out, “not from the roots or the trunk but from the ends of the branches” – the practical sciences. Descartes frequently stresses that his principal motivation is not abstract theorizing for its own sake: in place of the “speculative philosophy taught in the Schools,” we can and should achieve knowledge that is “useful in life” and that will one day make us “masters and possessors of nature.” Third, the likening of metaphysics or “first philosophy” to the roots of the tree nicely captures the Cartesian belief in what has come to be known as foundationalism – the view that knowledge must be constructed from the bottom up, and that nothing can be taken as established until we have gone back to first principles. Doubt and the foundations of belief. In Descartes’s central work of metaphysics, the Meditations, he begins his construction project by observing that many of the preconceived opinions he has accepted since childhood have turned out to be unreliable; so it is necessary, “once in a lifetime” to “demolish everything and start again, right from the foundations.” Descartes proceeds, in other words, by applying what is sometimes called his method of doubt, which is explained in the earlier Discourse on the Method: “Since I now wished to devote myself solely to the search for truth, I thought it necessary to . . . reject as if absolutely false everything in which one could imagine the least doubt, in order to see if I was left believing anything that was entirely indubitable.” In the Meditations we find this method applied to produce a systematic critique of previous beliefs, as follows. Anything based on the senses is potentially suspect, since “I have found by experience that the senses sometimes deceive, and it is prudent never to trust completely those who have deceived us even once.” Even such seemingly straightforward judgments as “I am sitting here by the fire” may be false, since there is no guarantee that my present experience is not a dream. The dream argument (as it has come to be called) leaves intact the truths of mathematics, since “whether I am awake or asleep two and three make five”; but Descartes now proceeds to introduce an even more radical argument for doubt based on the following dilemma. If there is an omnipotent God, he could presumably cause me to go wrong every time I count two and three; if, on the other hand, there is no God, then I owe my origins not to a powerful and intelligent creator, but to some random series of imperfect causes, and in this case there is even less reason to suppose that my basic intuitions about mathematics are reliable. By the end of the First Meditation, Descartes finds himself in a morass of wholesale doubt, which he dramatizes by introducing an imaginary demon “of the utmost power and cunning” who is systematically deceiving him in every possible way. Everything I believe in – “the sky, the earth and all external things” – might be illusions that the demon has devised in order to trick me. Yet this very extremity of doubt, when pushed as far as it will go, yields the first indubitable truth in the Cartesian quest for knowledge – the existence of the thinking subject. “Let the demon deceive me as much as he may, he can never bring it about that I am nothing, so long as I think I am something. . . . I am, I exist, is certain, as often as it is put forward by me or conceived in the mind.” Elsewhere, Descartes expresses this cogito argument in the famous phrase “Cogito ergo sum” (“I am thinking, therefore I exist”). Having established his own existence, Descartes proceeds in the Third Meditation to make an inventory of the ideas he finds within him, among which he identifies the idea of a supremely perfect being. In a much criticized causal argument he reasons that the representational content (or “objective reality”) of this idea is so great that it cannot have originated from inside his own (imperfect) mind, but must have been planted in him by an actual perfect being – God. The importance of God in the Cartesian system can scarcely be overstressed. Once the deity’s existence is established, Descartes can proceed to reinstate his belief in the world around him: since God is perfect, and hence would not systematically deceive, the strong propensity he has given us to believe that many of our ideas come from external objects must, in general, be sound; and hence the external world exists (Sixth Meditation). More important still, Descartes uses the deity to set up a reliable method for the pursuit of truth. Human beings, since they are finite and imperfect, often go wrong; in particular, the data supplied by the senses is often, as Descartes puts it, “obscure and confused.” But each of us can nonetheless avoid error, provided we remember to withhold judgment in such doubtful cases and confine ourselves to the “clear and distinct” perceptions of the pure intellect. A reliable intellect was God’s gift to man, and if we use it with the greatest posDescartes, René Descartes, René 225 4065A-  AM  225 sible care, we can be sure of avoiding error (Fourth Meditation). In this central part of his philosophy, Descartes follows in a long tradition going back to Augustine (with its ultimate roots in Plato) that in the first place is skeptical about the evidence of the senses as against the more reliable abstract perceptions of the intellect, and in the second place sees such intellectual knowledge as a kind of illumination derived from a higher source than man’s own mind. Descartes frequently uses the ancient metaphor of the “natural light” or “light of reason” to convey this notion that the fundamental intuitions of the intellect are inherently reliable. The label ‘rationalist’, which is often applied to Descartes in this connection, can be misleading, since he certainly does not rely on reason alone: in the development of his scientific theories he allows a considerable role to empirical observation in the testing of hypotheses and in the understanding of the mechanisms of nature (his “vortex theory” of planetary revolutions is based on observations of the behavior of whirlpools). What is true, nonetheless, is that the fundamental building blocks of Cartesian science are the innate ideas (chiefly those of mathematics) whose reliability Descartes takes as guaranteed by their having been implanted in the mind by God. But this in turn gives rise to a major problem for the Cartesian system, which was first underlined by some of Descartes’s contemporaries (notably Mersenne and Arnauld), and which has come to be known as the Cartesian circle. If the reliability of the clear and distinct perceptions of the intellect depends on our knowledge of God, then how can that knowledge be established in the first place? If the answer is that we can prove God’s existence from premises that we clearly and distinctly perceive, then this seems circular; for how are we entitled, at this stage, to assume that our clear and distinct perceptions are reliable? Descartes’s attempts to deal with this problem are not entirely satisfactory, but his general answer seems to be that there are some propositions that are so simple and transparent that, so long as we focus on them, we can be sure of their truth even without a divine guarantee. Cartesian science and dualism. The scientific system that Descartes had worked on before he wrote the Meditations and that he elaborated in his later work, the Principles of Philosophy, attempts wherever possible to reduce natural phenomena to the quantitative descriptions of arithmetic and geometry: “my consideration of matter in corporeal things,” he says in the Principles, “involves absolutely nothing apart from divisions, shapes and motions.” This connects with his metaphysical commitment to relying only on clear and distinct ideas. In place of the elaborate apparatus of the Scholastics, with its plethora of “substantial forms” and “real qualities,” Descartes proposes to mathematicize science. The material world is simply an indefinite series of variations in the shape, size, and motion of the single, simple, homogeneous matter that he terms res extensa (“extended substance”). Under this category he includes all physical and biological events, even complex animal behavior, which he regards as simply the result of purely mechanical processes (for non-human animals as mechanical automata, see Discourse, Part V). But there is one class of phenomena that cannot, on Descartes’s view, be handled in this way, namely conscious experience. Thought, he frequently asserts, is completely alien to, and incompatible with, extension: it occupies no space, is unextended and indivisible. Hence Descartes puts forward a dualistic theory of substance: in addition to the res extensa that makes up the material universe, there is res cogitans, or thinking substance, which is entirely independent of matter. And each conscious individual is a unique thinking substance: “This ‘I’ – that is, the soul, by which I am what I am, is entirely distinct from the body, and would not fail to be what it is even if the body did not exist.” Descartes’s arguments for the incorporeality of the soul were challenged by his contemporaries and have been heavily criticized by subsequent commentators. In the Discourse and the Second Meditation, he lays great stress on his ability to form a conception of himself as an existing subject, while at the same time doubting the existence of any physical thing; but this, as the critics pointed out, seems inadequate to establish the conclusion that he is a res cogitans – a being whose whole essence consists simply in thought. I may be able to imagine myself without a body, but this hardly proves that I could in reality exist without one (see further the Synopsis to the Meditations). A further problem is that our everyday experience testifies to the fact that we are not incorporeal beings, but very much creatures of flesh and blood. “Nature teaches me by the sensations of pain, hunger, thirst and so on,” Descartes admits in the Sixth Meditation, “that I am not merely present in my body as a sailor is present in a ship, but that I am very closely Descartes, René Descartes, René 226 4065A-  AM  226 joined and as it were intermingled with it.” Yet how can an incorporeal soul interact with the body in this way? In his later writings, Descartes speaks of the “union of soul and body” as a “primitive notion” (see letters to Elizabeth of May 21 and June 28, 1643); by this he seems to have meant that, just as there are properties (such as length) that belong to body alone, and properties (such as understanding ) that belong to mind alone, so there are items such as sensations that are irreducibly psychophysical, and that belong to me insofar as I am an embodied consciousness. The explanation of such psychophysical events was the task Descartes set himself in his last work, The Passions of the Soul; here he developed his theory that the pineal gland in the brain was the “seat of the soul,” where data from the senses were received (via the nervous system), and where bodily movements were initiated. But despite the wealth of physiological detail Descartes provides, the central philosophical problems associated with his dualistic account of humans as hybrid entities made up of physical body and immaterial soul are, by common consent, not properly sorted out. Influence. Despite the philosophical difficulties that beset the Cartesian system, Descartes’s vision of a unified understanding of reality has retained a powerful hold on scientists and philosophers ever since. His insistence that the path to progress in science lay in the direction of quantitative explanations has been substantially vindicated. His attempt to construct a system of knowledge by starting from the subjective awareness of the conscious self has been equally important, if only because so much of the epistemology of our own time has been a reaction against the autocentric perspective from which Descartes starts out. As for the Cartesian theory of the mind, it is probably fair to say that the dualistic approach is now widely regarded as raising more problems than it solves. But Descartes’s insistence that the phenomena of conscious experience are recalcitrant to explanation in purely physical terms remains deeply influential, and the cluster of profound problems that he raised about the nature of the human mind and its relation to the material world are still very far from being adequately resolved.  COGITO ERGO SUM, FOUNDATIONALISM, PHILOSOPHY OF MIND, RATIONALISM. J.COT. description, definite.THEORY OF DESCRIPTIONS. description, knowledge by.KNOWLEDGE BY ACQUAINTANCE. description, state.CARNAP. description, structure.CARNAP. descriptions, theory of.THEORY OF DESCRIPTIONS. descriptive emergence.METHODOLOGICAL HOLISM. descriptive emergentism.HOLISM. descriptive individualism.HOLISM. descriptive meaning.EMOTIVISM, MEANING. descriptive metaphysics.METAPHYSICS. descriptive relativism.RELATIVISM. descriptivism, the thesis that the meaning of any evaluative statement is purely descriptive or factual, i.e., determined, apart from its syntactical features, entirely by its truth conditions. Nondescriptivism (of which emotivism and prescriptivism are the main varieties) is the view that the meaning of full-blooded evaluative statements is such that they necessarily express the speaker’s sentiments or commitments. Nonnaturalism, naturalism, and supernaturalism are descriptivist views about the nature of the properties to which the meaning rules refer. Descriptivism is related to cognitivism and moral realism.  EMOTIVISM, ETHICS. B.W.H. descriptivist theory of names.CAUSAL THEORY OF PROPER NAMES. de se.DE DICTO, KNOWLEDGE DE RE. desert.MERITARIAN. design, argument from.PHILOSOPHY OF RELIGION. designator, rigid.MEANING. desire, extrinsic.EXTRINSIC DESIRE. desire, intrinsic.EXTRINSIC DESIRE. desire-belief model.INTENTION, MOTIVATION. description, definite desire-belief model 227 4065A-  AM  227 destructive dilemma.DILEMMA. detachment, rule of.LOTTERY PARADOX, MODUS PONENS. determinable, a general characteristic or property analogous to a genus except that while a property independent of a genus differentiates a species that falls under the genus, no such independent property differentiates a determinate that falls under the determinable. The color blue, e.g., is a determinate with respect of the determinable color: there is no property F independent of color such that a color is blue if and only if it is F. In contrast, there is a property, having equal sides, such that a rectangle is a square if and only if it has this property. Square is a properly differentiated species of the genus rectangle. W. E. Johnson introduces the terms ‘determinate’ and ‘determinable’ in his Logic, Part I, Chapter 11. His account of this distinction does not closely resemble the current understanding sketched above. Johnson wants to explain the differences between the superficially similar ‘Red is a color’ and ‘Plato is a man’. He concludes that the latter really predicates something, humanity, of Plato; while the former does not really predicate anything of red. Color is not really a property (or adjective, as Johnson puts it). The determinates red, blue, and yellow are grouped together not because of a property they have in common but because of the ways they differ from each other. Determinates under the same determinable are related to each other (and are thus comparable) in ways in which they are not related to determinates under other determinables. Determinates belonging to different determinables, such as color and shape, are incomparable. ’More determinate’ is often used interchangeably with ‘more specific’. Many philosophers, including Johnson, hold that the characters of things are absolutely determinate or specific. Spelling out what this claim means leads to another problem in analyzing the relation between determinate and determinable. By what principle can we exclude red and round as a determinate of red and red as a determinate of red or round?  JOHNSON, PROPERTY. D.H.S. determinate.DETERMINABLE. determinism, the view that every event or state of affairs is brought about by antecedent events or states of affairs in accordance with universal causal laws that govern the world. Thus, the state of the world at any instant determines a unique future, and that knowledge of all the positions of things and the prevailing natural forces would permit an intelligence to predict the future state of the world with absolute precision. This view was advanced by Laplace in the early nineteenth century; he was inspired by Newton’s success at integrating our physical knowledge of the world. Contemporary determinists do not believe that Newtonian physics is the supreme theory. Some do not even believe that all theories will someday be integrated into a unified theory. They do believe that, for each event, no matter how precisely described, there is some theory or system of laws such that the occurrence of that event under that description is derivable from those laws together with information about the prior state of the system. Some determinists formulate the doctrine somewhat differently: (a) every event has a sufficient cause; (b) at any given time, given the past, only one future is possible; (c) given knowledge of all antecedent conditions and all laws of nature, an agent could predict at any given time the precise subsequent history of the universe. Thus, determinists deny the existence of chance, although they concede that our ignorance of the laws or all relevant antecedent conditions makes certain events unexpected and, therefore, apparently happen “by chance.” The term ‘determinism’ is also used in a more general way as the name for any metaphysical doctrine implying that there is only one possible history of the world. The doctrine described above is really scientific or causal determinism, for it grounds this implication on a general fact about the natural order, namely, its governance by universal causal law. But there is also theological determinism, which holds that God determines everything that happens or that, since God has perfect knowledge about the universe, only the course of events that he knows will happen can happen. And there is logical determinism, which grounds the necessity of the historical order on the logical truth that all propositions, including ones about the future, are either true or false. Fatalism, the view that there are forces (e.g., the stars or the fates) that determine all outcomes independently of human efforts or wishes, is claimed by some to be a version of determinism. But others deny this on the ground that determinists do not reject the efficacy of human effort or desire; they simply believe that efforts and desires, which are sometimes effective, are themselves determined by antecedent factors (as in a causal chain of events). destructive dilemma determinism 228 4065A-  AM  228 Since determinism is a universal doctrine, it embraces human actions and choices. But if actions and choices are determined, then some conclude that free will is an illusion. For the action or choice is an inevitable product of antecedent factors that rendered alternatives impossible, even if the agent had deliberated about options. An omniscient agent could have predicted the action or choice beforehand. This conflict generates the problem of free will and determinism.  COMPUTER THEORY, FREE WILL PROBLEM, PHILOSOPHY OF SCIENCE. B.B. determinism, hard.FREE WILL PROBLEM. determinism, historical.MARXISM. determinism, linguistic.LINGUISTIC RELATIVITY. determinism, principle of.MILL’S METHODS. determinism, soft.FREE WILL PROBLEM. deterministic automaton.COMPUTER THEORY. deterministic law.CAUSAL LAW. deterrence.JUST WAR THEORY, PUNISHMENT. deviant causal chain.WAYWARD CAUSAL CHAIN. deviant logic.
PHILOSOPHY OF LOGIC. Dewey, John (1859–1952), American philosopher, social critic, and theorist of education. During an era when philosophy was becoming thoroughly professionalized, Dewey remained a public philosopher having a profound international influence on politics and education. His career began inauspiciously in his student days at the University of Vermont and then as a high school teacher before he went on to study philosophy at the newly formed Johns Hopkins University. There he studied with Peirce, G. S. Hall, and G. S. Morris, and was profoundly influenced by the version of Hegelian idealism propounded by Morris. After receiving his doctorate in 1884, Dewey moved to the University of Michigan where he rejoined Morris, who had relocated there. At Michigan he had as a colleague the young social psychologist G. H. Mead, and during this period Dewey himself concentrated his writing in the general area of psychology. In 1894 he accepted an appointment as chair of the Department of Philosophy, Psychology, and Education at the University of Chicago, bringing Mead with him. At Chicago Dewey was instrumental in founding the famous laboratory school, and some of his most important writings on education grew out of his work in that experimental school. In 1904 he left Chicago for Columbia University, where he joined F. J. E. Woodbridge, founder of The Journal of Philosophy. He retired from Columbia in 1930 but remained active in both philosophy and public affairs until his death in 1952. Over his long career he was a prolific speaker and writer, as evidenced by a literary output of forty books and over seven hundred articles. Philosophy. At the highest level of generality Dewey’s philosophical orientation can be characterized as a kind of naturalistic empiricism, and the two most fundamental notions in his philosophy can be gleaned from the title of his most substantial book, Experience and Nature (1925). His concept of experience had its origin in his Hegelian background, but Dewey divested it of most of its speculative excesses. He clearly conceived of himself as an empiricist but was careful to distinguish his notion of experience both from that of the idealist tradition and from the empiricism of the classical British variety. The idealists had so stressed the cognitive dimension of experience that they overlooked the non-cognitive, whereas he saw the British variety as inappropriately atomistic and subjectivist. In contrast to these Dewey fashioned a notion of experience wherein action, enjoyment, and what he called “undergoing” were integrated and equally fundamental. The felt immediacy of experience (what he generally characterized as its aesthetic quality) was basic and irreducible. He then situated cognitive experience against this broader background as arising from and conditioned by this more basic experience. Cognitive experience was the result of inquiry, which was viewed as a process arising from a felt difficulty within our experience, proceeding through the stage of conceptual elaboration of possible resolutions, to a final reconstruction of the experience wherein the initial fragmented situation is transformed into a unified whole. Cognitive inquiry is this mediating process from experience to experience, and knowledge is what makes possible the final more integrated experience, which Dewey termed a “consummation.” On this view knowing is a kind of doing, and the criterion of knowledge is “warranted assertability.” On the first point, Dewey felt that one of the cardinal errors of philosophy from Plato to determinism, hard Dewey, John 229 4065A-  AM  229 the modern period was what he called “the spectator theory of knowledge.” Knowledge had been viewed as a kind of passive recording of facts in the world and success was seen as a matter of the correspondence of our beliefs to these antecedent facts. To the contrary, Dewey viewed knowing as a constructive conceptual activity that anticipated and guided our adjustment to future experiential interactions with our environment. It was with this constructive and purposive view of thinking in mind that Dewey dubbed his general philosophical orientation instrumentalism. Concepts are instruments for dealing with our experienced world. The fundamental categories of knowledge are to be functionally understood, and the classical dualisms of philosophy (mind–body, means–end, fact– value) are ultimately to be overcome. The purpose of knowing is to effect some alteration in the experiential situation, and for this purpose some cognitive proposals are more effective than others. This is the context in which “truth” is normally invoked, and in its stead Dewey proposed “warranted assertability.” He eschewed the notion of truth (even in its less dangerous adjectival and adverbial forms, ‘true’ and ‘truly’) because he saw it as too suggestive of a static and finalized correspondence between two separate orders. Successful cognition was really a more dynamic matter of a present resolution of a problematic situation resulting in a reconstructed experience or consummation. “Warranted assertability” was the success characterization, having the appropriately normative connotation without the excess metaphysical baggage. Dewey’s notion of experience is intimately tied to his notion of nature. He did not conceive of nature as “the-world-as-it-would-be-independent-of-human-experience” but rather as a developing system of natural transactions admitting of a tripartite distinction between the physicochemical level, the psychophysical level, and the level of human experience with the understanding that this categorization was not to be construed as implying any sharp discontinuities. Experience itself, then, is one of the levels of transaction in nature and is not reducible to the other forms. The more austere, “scientific” representations of nature as, e.g., a purely mechanical system, Dewey construed as merely useful conceptualizations for specific cognitive purposes. This enabled him to distinguish his “naturalism,” which he saw as a kind of nonreductive empiricism, from “materialism,” which he saw as a kind of reductive rationalism. Dewey and Santayana had an ongoing dialogue on precisely this point. Dewey’s view was also naturalistic to the degree that it advocated the universal scope of scientific method. Influenced in this regard by Peirce, he saw scientific method not as restricted to a specific sphere but simply as the way we ought to think. The structure of all reflective thought is future-oriented and involves a movement from the recognition and articulation of a felt difficulty, through the elaboration of hypotheses as possible resolutions of the difficulty, to the stage of verification or falsification. The specific sciences (physics, biology, psychology) investigate the different levels of transactions in nature, but the scientific manner of investigation is simply a generalized sophistication of the structure of common sense and has no intrinsic restriction. Dewey construed nature as an organic unity not marked by any radical discontinuities that would require the introduction of non-natural categories or new methodological strategies. The sharp dualisms of mind and body, the individual and the social, the secular and the religious, and most importantly, fact and value, he viewed as conceptual constructs that have far outlived their usefulness. The inherited dualisms had to be overcome, particularly the one between fact and value inasmuch as it functioned to block the use of reason as the guide for human action. On his view people naturally have values as well as beliefs. Given human nature, there are certain activities and states of affairs that we naturally prize, enjoy, and value. The human problem is that these are not always easy to come by nor are they always compatible. We are forced to deal with the problem of what we really want and what we ought to pursue. Dewey advocated the extension of scientific method to these domains. The deliberative process culminating in a practical judgment is not unlike the deliberative process culminating in factual belief. Both kinds of judgment can be responsible or irresponsible, right or wrong. This deliberative sense of evaluation as a process presupposes the more basic sense of evaluation concerning those dimensions of human experience we prize and find fulfilling. Here too there is a dimension of appropriateness, one grounded in the kind of beings we are, where the ‘we’ includes our social history and development. On this issue Dewey had a very Greek view, albeit one transposed into a modern evolutionary perspective. Fundamental questions of value and human fulfillment ultimately bear on our conception of the human commuDewey, John Dewey, John 230 4065A-  AM  230 nity, and this in turn leads him to the issues of democracy and education. Society and education. The ideal social order for Dewey is a structure that allows maximum selfdevelopment of all individuals. It fosters the free exchange of ideas and decides on policies in a manner that acknowledges each person’s capacity effectively to participate in and contribute to the direction of social life. The respect accorded to the dignity of each contributes to the common welfare of all. Dewey found the closest approximation to this ideal in democracy, but he did not identify contemporary democracies with this ideal. He was not content to employ old forms of democracy to deal with new problems. Consistent with instrumentalism, he maintained that we should be constantly rethinking and reworking our democratic institutions in order to make them ever more responsive to changing times. This constant rethinking placed a considerable premium on intelligence, and this underscored the importance of education for democracy. Dewey is probably best known for his views on education, but the centrality of his theory of education to his overall philosophy is not always appreciated. The fundamental aim of education for him is not to convey information but to develop critical methods of thought. Education is future-oriented and the future is uncertain; hence, it is paramount to develop those habits of mind that enable us adequately to assess new situations and to formulate strategies for dealing with the problematic dimensions of them. This is not to suggest that we should turn our backs on the past, because what we as a people have already learned provides our only guide for future activity. But the past is not to be valued for its own sake but for its role in developing and guiding those critical capacities that will enable us to deal with our ever-changing world effectively and responsibly. With the advent of the analytic tradition as the dominant style of philosophizing in America, Dewey’s thought fell out of favor. About the only arenas in which it continued to flourish were schools of education. However, with the recent revival of a general pragmatic orientation in the persons of Quine, Putnam, and Rorty, among others, the spirit of Dewey’s philosophy is frequently invoked. Holism, anti-foundationalism, contextualism, functionalism, the blurring of the lines between science and philosophy and between the theoretical and the practical – all central themes in Dewey’s philosophy – have become fashionable. Neo-pragmatism is a contemporary catchphrase. Dewey is, however, more frequently invoked than read, and even the Dewey that is invoked is a truncated version of the historical figure who constructed a comprehensive philosophical vision.  INSTRUMENTALISM, PEIRCE, PRAGMATISM. C.F.D. dharma, in Hinduism and especially in the early literature of the Vedas, a cosmic rule giving things their nature or essence, or in the human context, a set of duties and rules to be performed or followed to maintain social order, promote general well-being, and be righteous. Pursuit of dharma was considered one of the four fundamental pursuits of life, the three others being those of wealth (artha), pleasure (kama), and spiritual liberation (moksha). In the Bhagavad Gita, dharma was made famous as svadharma, meaning one’s assigned duties based on one’s nature and abilities rather than on birth. The Hindu lawgiver Manu (who probably lived between the third century B.C. and the first century A.D.) codified the dharmic duties based on a fourfold order of society and provided concrete guidance to people in discharging their social obligations based on their roles and stations in life. Even though Manu, like the Gita, held that one’s duties and obligations should fit one’s nature rather than be determined by birth, the dharma-oriented Hindu society was eventually characterized by a rigid caste structure and a limited role for women.  BHAGAVAD GITA. D.K.C. Dharmakirti (seventh century A.D.), Indian Yogacara Buddhist philosopher and logician. His works include Pramanavarttika (“Explanation of the Touchstones”), a major work in logic and epistemology; and Nyayabindu, an introduction to his views. In Santanantara-siddhi (“Establishment of the Existence of Other Minds”) he defends his perceptual idealism against the charge of solipsism, claiming that he may as legitimately use the argument from analogy for the existence of others (drawing inferences from apparently intelligent behaviors to intelligences that cause them) as his perceptual realist opponents. He criticized Nyaya theistic arguments. He exercised a strong influence on later Indian work in logic. K.E.Y. d’Holbach, Paul-Henri-Dietrich, Baron (1723– 89), French philosopher, a leading materialist and prolific contributor to the Encyclopedia. He dharma d’Holbach, Paul-Henri-Dietrich 231 4065A-  AM  231 was born in the Rhenish Palatinate, settled in France at an early age, and read law at Leiden. After inheriting an uncle’s wealth and title, he became a solicitor at the Paris “Parlement” and a regular host of philosophical dinners attended by the Encyclopedists and visitors of renown (Gibbon, Hume, Smith, Sterne, Priestley, Beccaria, Franklin). Knowledgeable in chemistry and mineralogy and fluent in several languages, he translated German scientific works and English anti-Christian pamphlets into French. Basically, d’Holbach was a synthetic thinker, powerful though not original, who systematized and radicalized Diderot’s naturalism. Also drawing on Hobbes, Spinoza, Locke, Hume, Buffon, Helvétius, and La Mettrie, his treatises were so irreligious and anticlerical that they were published abroad anonymously or pseudonymously: Christianity Unveiled (1756), The Sacred Contagion (1768), Critical History of Jesus (1770), The Social System (1773), and Universal Moral (1776). His masterpiece, the System of Nature (1770), a “Lucretian” compendium of eighteenth-century materialism, even shocked Voltaire. D’Holbach derived everything from matter and motion, and upheld universal necessity. The self-sustaining laws of nature are normative. Material reality is therefore contrasted to metaphysical delusion, self-interest to alienation, and earthly happiness to otherworldly optimism. More vindictive than Toland’s, d’Holbach’s unmitigated critique of Christianity anticipated Feuerbach, Strauss, Marx, and Nietzsche. He discredited supernatural revelation, theism, deism, and pantheism as mythological, censured Christian virtues as unnatural, branded piety as fanatical, and stigmatized clerical ignorance, immorality, and despotism. Assuming that science liberates man from religious hegemony, he advocated sensory and experimental knowledge. Believing that society and education form man, he unfolded a mechanistic anthropology, a eudaimonistic morality, and a secular, utilitarian social and political program. 
ENCYCLOPEDIA, PHILOSOPHY OF MIND. J.-L.S. diagonalization.DIAGONAL PROCEDURE. diagonal procedure, a method, originated by Cantor, for showing that there are infinite sets that cannot be put in one-to-one correspondence with the set of natural numbers (i.e., enumerated). For example, the method can be used to show that the set of real numbers x in the interval 0 ‹ x m 1 is not enumerable. Suppose x0, x1, x2, . . . were such an enumeration (x0 is the real correlated with 0; x1, the real correlated with 1; and so on). Then consider the list formed by replacing each real in the enumeration with the unique non-terminating decimal fraction representing it: (The first decimal fraction represents x0; the second, x1; and so on.) By diagonalization we select the decimal fraction shown by the arrows: and change each digit xnn, taking care to avoid a terminating decimal. This fraction is not on our list. For it differs from the first in the tenths place, from the second in the hundredths place, and from the third in the thousandths place, and so on. Thus the real it represents is not in the supposed enumeration. This contradicts the original assumption. The idea can be put more elegantly. Let f be any function such that, for each natural number n, f(n) is a set of natural numbers. Then there is a set S of natural numbers such that n 1 S S n 2 f(n). It is obvious that, for each n, f(n) & S.  CANTOR, INFINITY, PHILOSOPHY OF MATHEMATICS. C.S. dialectic, an argumentative exchange involving contradiction or a technique or method connected with such exchanges. The word’s origin is the Greek dialegein, ‘to argue’ or ‘converse’; in Aristotle and others, this often has the sense ‘argue for a conclusion’, ‘establish by argument’. By Plato’s time, if not earlier, it had acquired a technical sense: a form of argumentation through question and answer. The adjective dialektikos, ‘dialectical’, would mean ‘concerned with dialegein’ or (of persons) ‘skilled in dialegein’; the feminine dialektike is then ‘the art of dialegein’. Aristotle says that Zeno of Elea invented diagonalization dialectic 232 4065A-  AM  232 dialectic. He apparently had in mind Zeno’s paradoxical arguments against motion and multiplicity, which Aristotle saw as dialectical because they rested on premises his adversaries conceded and deduced contradictory consequences from them. A first definition of dialectical argument might then be: ‘argument conducted by question and answer, resting on an opponent’s concessions, and aiming at refuting the opponent by deriving contradictory consequences’. This roughly fits the style of argument Socrates is shown engaging in by Plato. So construed, dialectic is primarily an art of refutation. Plato, however, came to apply ‘dialectic’ to the method by which philosophers attain knowledge of Forms. His understanding of that method appears to vary from one dialogue to another and is difficult to interpret. In Republic VI–VII, dialectic is a method that somehow establishes “non-hypothetical” conclusions; in the Sophist, it is a method of discovering definitions by successive divisions of genera into their species. Aristotle’s concept of dialectical argument comes closer to Socrates and Zeno: it proceeds by question and answer, normally aims at refutation, and cannot scientifically or philosophically establish anything. Aristotle differentiates dialectical arguments from demonstration (apodeixis), or scientific arguments, on the basis of their premises: demonstrations must have “true and primary” premises, dialectical arguments premises that are “apparent,” “reputable,” or “accepted” (these are alternative, and disputed, renderings of the term endoxos). However, dialectical arguments must be valid, unlike eristic or sophistical arguments. The Topics, which Aristotle says is the first art of dialectic, is organized as a handbook for dialectical debates; Book VIII clearly presupposes a ruledirected, formalized style of disputation presumably practiced in the Academy. This use of ‘dialectic’ reappears in the early Middle Ages in Europe, though as Aristotle’s works became better known after the twelfth century dialectic was increasingly associated with the formalized disputations practiced in the universities (recalling once again the formalized practice presupposed by Aristotle’s Topics). In his Critique of Pure Reason, Kant declared that the ancient meaning of ‘dialectic’ was ‘the logic of illusion’ and proposed a “Transcendental Dialectic” that analyzed the “antinomies” (deductions of contradictory conclusions) to which pure reason is inevitably led when it extends beyond its proper sphere. This concept was further developed by Fichte and Schelling into a traidic notion of thesis, opposing antithesis, and resultant synthesis. Hegel transformed the notion of contradiction from a logical to a metaphysical one, making dialectic into a theory not simply of arguments but of historical processes within the development of “spirit”; Marx transformed this still further by replacing ‘spirit’ with ‘matter’.  ACADEMY, ARISTOTLE, HEGEL, MARX, PLATO, SOCRATES, TOPICS. R.Sm. dialectical argument.DIALECTIC. dialectical materialism.MARX, PLEKHANOV. dialecticians.SCHOOL OF NAMES. diallelon (from ancient Greek di allelon, ‘through one another’), a circular definition. A definition is circular provided either the definiendum occurs in the definiens, as in ‘Law is a lawful command’, or a first term is defined by means of a second term, which in turn is defined by the first term, as in ‘Law is the expressed wish of a ruler, and a ruler is one who establishes laws.’ A diallelus is a circular argument: an attempt to establish a conclusion by a premise that cannot be known unless the conclusion is known in the first place. Descartes, e.g., argued: I clearly and distinctly perceive that God exists, and what I clearly and distinctly perceive is true. Therefore, God exists. To justify the premise that clear and distinct perceptions are true, however, he appealed to his knowledge of God’s existence.  CIRCULAR REASONING, DEFINITION. M.St. diallelus.DIALLELON. dialogism.BAKHTIN. dianoia, Greek term for the faculty of thought, specifically of drawing conclusions from assumptions and of constructing and following arguments. The term may also designate the thought that results from using this faculty. We would use dianoia to construct a mathematical proof; in contrast, a being – if there is such a being it would be a god – that could simply intuit the truth of the theorem would use the faculty of intellectual intuition, noûs. In contrast with noûs, dianoia is the distinctly human faculty of reason. Plato uses noûs and dianoia to designate, respectively, the highest and second levels of the faculties represented on the divided line (Republic 511d–e).  PLATO. E.C.H. dialectical argument dianoia 233 4065A-  AM  233 dichotomy paradox.ZENO’S PARADOXES. dici de omni et nullo.DICTUM DE OMNI ET NULLO. dictum.ABELARD, COMPLEXE SIGNIFICABILE. dictum de omni et nullo, also dici de omni et nullo (Latin, ‘said of all and none’), two principles that were supposed by medieval logicians to underlie all valid syllogisms. Dictum de omni applies most naturally to universal affirmative propositions, maintaining that in such a proposition, whatever falls under the subject term also falls under the predicate term. Thus, in ‘Every whale is a mammal’, whatever is included under ‘whale’ is included under ‘mammal’. Dictum de nullo applies to universal negative propositions, such as ‘No whale is a lizard’, maintaining that whatever falls under the subject term does not fall under the predicate term.  SYLLOGISM. W.E.M. Diderot, Denis (1713–84), French philosopher, Encyclopedist, dramatist, novelist, and art critic, a champion of Enlightenment values. He is known primarily as general editor of the Encyclopedia (1747–73), an analytical and interpretive compendium of eighteenth-century science and technology. A friend of Rousseau and Condillac, Diderot translated Shaftesbury’s Inquiry Concerning Virtue (1745) into French. Revealing Lucretian affinities (Philosophical Thoughts, 1746), he assailed Christianity in The Skeptics’ Walk (1747) and argued for a materialistic and evolutionary universe (Letter on the Blind, 1749); this led to a short imprisonment. Diderot wrote mediocre bourgeois comedies; some bleak fiction (The Nun, 1760); and two satirical dialogues, Rameau’s Nephew (1767) and Jacques the Fatalist (1765–84), his masterpieces. He innovatively theorized on drama (Discourse on Dramatic Poetry, 1758) and elevated art criticism to a literary genre (Salons in Grimm’s Literary Correspondence). At Catherine II’s invitation, Diderot visited Saint Petersburg in 1773 and planned the creation of a Russian university. Promoting science, especially biology and chemistry, Diderot unfolded a philosophy of nature inclined toward monism. His works include physiological investigations, Letter on the Deaf and Dumb (1751) and Elements of Physiology (1774–80); a sensationalistic epistemology, On the Interpretation of Nature (1745); an aesthetic, Essays on Painting (1765); a materialistic philosophy of science, D’Alembert’s Dream (1769); an anthropology, Supplement to the Voyage of Bougainville (1772); and an anti-behavioristic Refutation of Helvétius’ Work “On Man” (1773–80).  ENCYCLOPEDIA. J.-L.S. différance, a French coinage deployed by Derrida in De la Grammatologie (1967), where he defines it as “an economic concept designating the production of differing/deferring.” Différance is polysemic, but its key function is to name the prime condition for the functioning of all language and thought: differing, the differentiation of signs from each other that allows us to differentiate things from each other. Deferring is the process by which signs refer to each other, thus constituting the self-reference essential to language, without ever capturing the being or presence that is the transcendent entity toward which it is aimed. Without the concepts or idealities generated by the iteration of signs, we could never identify a dog as a dog, could not perceive a dog (or any other thing) as such. Perception presupposes language, which, in turn, presupposes the ideality generated by the repetition of signs. Thus there can be no perceptual origin for language; language depends upon an “original repetition,” a deliberate oxymoron that Derrida employs to signal the impossibility of conceiving an origin of language from within the linguistic framework in which we find ourselves. Différance is the condition for language, and language is the condition for experience: whatever meaning we may find in the world is attributed to the differing/ deferring play of signifiers. The notion of différance and the correlative thesis that meaning is language-dependent have been appropriated by radical thinkers in the attempt to demonstrate that political inequalities are grounded in nothing other than the conventions of sign systems governing differing cultures.  DECONSTRUCTION, DERRIDA, PERCEPTION, POSTMODERN. M.C.D. difference.SET THEORY. difference, method of.MILL’S METHODS. difference principle.RAWLS. différend.LYOTARD. differentia.DEFINITION, TOPICS. dignity, a moral worth or status usually attributed to human persons. Persons are said to have dignity as well as to express it. Persons are typically thought to have (1) “human dignity” (an dichotomy paradox dignity 234 4065A-  AM  234 intrinsic moral worth, a basic moral status, or both, which is had equally by all persons); and (2) a “sense of dignity” (an awareness of one’s dignity inclining toward the expression of one’s dignity and the avoidance of humiliation). Persons can lack a sense of dignity without consequent loss of their human dignity. In Kant’s influential account of the equal dignity of all persons, human dignity is grounded in the capacity for practical rationality, especially the capacity for autonomous self-legislation under the categorical imperative. Kant holds that dignity contrasts with price and that there is nothing – not pleasure nor communal welfare nor other good consequences – for which it is morally acceptable to sacrifice human dignity. Kant’s categorical rejection of the use of persons as mere means suggests a now-common link between the possession of human dignity and human rights (see, e.g., the United Nations’ Universal Declaration of Human Rights). One now widespread discussion of dignity concerns “dying with dignity” and the right to conditions conducive thereto. 
KANT, MORAL STATUS, RIGHTS, VALUE. M.J.M. dilemma, an argument or argument form in which one of the premises is a disjunction. Constructive dilemmas take the form ‘If A and B, if C then D, A or C; therefore B or D’ and are instances of modus ponens in the special case where A is C and B is D; destructive dilemmas are of the form ‘If A then B, if C then D, not-B or not-D; therefore not-A or not-C’ and are likewise instances of modus tollens in that special case. A dilemma in which the disjunctive premise is false is commonly known as a false dilemma.  MORAL DILEMMA. G.F.S. dilemma, moral.MORAL DILEMMA. Dilthey, Wilhelm (1833–1911), German philosopher and historian whose main project was to establish the conditions of historical knowledge, much as Kant’s Critique of Pure Reason had for our knowledge of nature. He studied theology, history, and philosophy at Heidelberg and Berlin and in 1882 accepted the chair earlier held by Hegel at the University of Berlin. Dilthey’s first attempt at a critique of historical reason is found in the Introduction to the Human Sciences (1883), the last in the Formation of the Historical World in the Human Sciences (1910). He is also a recognized contributor to hermeneutics, literary criticism, and worldview theory. His Life of Schleiermacher and essays on the Renaissance, Enlightenment, and Hegel are model works of Geistesgeschichte, in which philosophical ideas are analyzed in relation to their social and cultural milieu. Dilthey holds that life is the ultimate nexus of reality behind which we cannot go. Life is viewed, not primarily in biological terms as in Nietzsche and Bergson, but as the historical totality of human experience. The basic categories whereby we reflect on life provide the background for the epistemological categories of the sciences. According to Dilthey, Aristotle’s category of acting and suffering is rooted in prescientific experience, which is then explicated as the category of efficacy or influence (Wirkung) in the human sciences and as the category of cause (Ursache) in the natural sciences. Our understanding of influence in the human sciences is less removed from the full reality of life than are the causal explanations arrived at in the natural sciences. To this extent the human sciences can claim a priority over the natural sciences. Whereas we have direct access to the real elements of the historical world (psychophysical human beings), the elements of the natural world are merely hypothetical entities such as atoms. The natural sciences deal with outer experiences, while the human sciences are based on inner experience. Inner experience is reflexive and implicitly self-aware, but need not be introspective or explicitly self-conscious. In fact, we often have inner experiences of the same objects that outer experience is about. An outer experience of an object focuses on its physical properties; an inner experience of it on our felt responses to it. A lived experience (Erlebnis) of it includes both. The distinction between the natural and the human sciences is also related to the methodological difference between explanation and understanding. The natural sciences seek causal explanations of nature – connecting the discrete representations of outer experience through hypothetical generalizations. The human sciences aim at an understanding (Verstehen) that articulates the typical structures of life given in lived experience. Finding lived experience to be inherently connected and meaningful, Dilthey opposed traditional atomistic and associationist psychologies and developed a descriptive psychology that Husserl recognized as anticipating phenomenological psychology. In Ideas (1894) Dilthey argued that descriptive psychology could provide a neutral foundation for the other human sciences, but in his later dilemma Dilthey, Wilhelm 235 4065A-  AM  235 hermeneutical writings, which influenced Heidegger and Hans-Georg Gadamer, he rejected the possibility of a foundational discipline or method. In the Formation, he asserted that all the human sciences are interpretive and mutually dependent. Hermeneutically conceived, understanding is a process of interpreting the “objectifications of life,” the external expressions of human experience and activity. The understanding of others is mediated by these common objectifications and not immediately available through empathy (Einfühlung). Moreover, to fully understand myself I must interpret the expressions of my life just as I interpret the expressions of others. Whereas the natural sciences aim at ever broader generalizations, the human sciences place equal weight on understanding individuality and universality. Dilthey regarded individuals as points of intersection of the social and cultural systems in which they participate. Any psychological contribution to understanding human life must be integrated into this more public framework. Although universal laws of history are rejected, particular human sciences can establish uniformities limited to specific social and cultural systems. In a set of sketches (1911) supplementing the Formation, Dilthey further developed the categories of life in relation to the human sciences. After analyzing formal categories such as the part–whole relation shared by all the sciences, he distinguished the real categories of the human sciences from those of the natural sciences. The most important human science categories are value, purpose, and meaning, but they by no means exhaust the concepts needed to reflect on the ultimate sense of our existence. Such reflection receives its fullest expression in a worldview (Weltanschauung), such as the worldviews developed in religion, art, and philosophy. A worldview constitutes an overall perspective on life that sums up what we know about the world, how we evaluate it emotionally, and how we respond to it volitionally. Since Dilthey distinguished three exclusive and recurrent types of worldview naturalism (e.g., Democritus, Hume), the idealism of freedom (e.g., Socrates, Kant), and objective idealism (e.g., Parmenides, Hegel) – he is often regarded as a relativist. But Dilthey thought that both the natural and the human sciences could in their separate ways attain objective truth through a proper sense of method. Metaphysical formulations of worldviews are relative only because they attempt an impossible synthesis of all truth.  EINFÜHLUNG, ERLEBNIS, HEGEL, HERMENEUTICS, NIETZSCHE,
 PHILOSOPHY OF HISTORY. R.A.M. diminished capacity, a legal defense to criminal liability that exists in two distinct forms: (1) the mens rea variant, in which a defendant uses evidence of mental abnormality to cast doubt on the prosecution’s assertion that, at the time of the crime, the defendant possessed the mental state criteria, the mens rea, required by the legal definition of the offense charged; and (2) the partial responsibility variant, in which a defendant uses evidence of mental abnormality to support a claim that, even if the defendant’s mental state satisfied the mens rea criteria for the offense, the defendant’s responsibility for the crime is diminished and thus the defendant should be convicted of a lesser crime and/or a lesser sentence should be imposed. The mental abnormality may be produced by mental disorder, intoxication, trauma, or other causes. The mens rea variant is not a distinct excuse: a defendant is simply arguing that the prosecution cannot prove the definitional, mental state criteria for the crime. Partial responsibility is an excuse, but unlike the similar, complete excuse of legal insanity, partial responsibility does not produce total acquittal; rather, a defendant’s claim is for reduced punishment. A defendant may raise either or both variants of diminished capacity and the insanity defense in the same case. For example, a common definition of firstdegree murder requires the prosecution to prove that a defendant intended to kill and did so after premeditation. A defendant charged with this crime might raise both variants as follows. To deny the allegation of premeditation, a defendant might claim that the killing occurred instantaneously in response to a “command hallucination.” If believed, a defendant cannot be convicted of premeditated homicide, but can be convicted of the lesser crime of second-degree murder, which typically requires only intent. And even a defendant who killed intentionally and premeditatedly might claim partial responsibility because the psychotic mental state rendered the agent’s reasons for action nonculpably irrational. In this case, either the degree of crime might be reduced by operation of the partial excuse, rather than by negation of definitional mens rea, or a defendant might be convicted of first-degree murder but given a lesser penalty. In the United States the mens rea variant exists in about half the jurisdictions, although its scope diminished capacity diminished capacity 236 4065A-  AM  236 is usually limited in various ways, primarily to avoid a defendant’s being acquitted and freed if mental abnormality negated all the definitional mental state criteria of the crime charged. In English law, the mens rea variant exists but is limited by the type of evidence usable to support it. No American jurisdiction has adopted a distinct, straightforward partial responsibility variant, but various analogous doctrines and procedures are widely accepted. For example, partial responsibility grounds both the doctrine that intentional killing should be reduced from murder to voluntary manslaughter if a defendant acted “in the heat of passion” upon legally adequate provocation, and the sentencing judge’s discretion to award a decreased sentence based on a defendant’s mental abnormality. In addition to such partial responsibility analogues, England, Wales, and Scotland have directly adopted the partial responsibility variant, termed “diminished responsibility,” but it applies only to prosecutions for murder. “Diminished responsibility” reduces a conviction to a lesser crime, such as manslaughter or culpable homicide, for behavior that would otherwise constitute murder.  FREE WILL PROBLEM, MENS REA, PHILOSOPHY OF LAW. S.J.M. diminished responsibility.DIMINISHED CAPACITY. Ding an sich.KANT. Diodoros Cronos.MEGARIANS. Diogenes Laertius.DOXOGRAPHERS, VAGUENESS. Diogenes of Apollonia.PRE-SOCRATICS. Diogenes of Ionoanda.EPICUREANISM. Diogenes the Cynic.CYNICS. direct discourse.INDIRECT DISCOURSE. direct intention.INTENTION. direction of fit, a metaphor that derives from a story in Anscombe’s Intention (1957) about a detective who follows a shopper around town making a list of the things that the shopper buys. As Anscombe notes, whereas the detective’s list has to match the way the world is (each of the things the shopper buys must be on the detective’s list), the shopper’s list is such that the world has to fit with it (each of the things on the list are things that he must buy). The metaphor is now standardly used to describe the difference between kinds of speech act (assertions versus commands) and ment
al states (beliefs versus desires). For example, beliefs are said to have the world-to-mind direction of fit because it is in the nature of beliefs that their contents are supposed to match the world: false beliefs are to be abandoned. Desires are said to have the opposite mind-to-world direction of fit because it is in the nature of desires that the world is supposed to match their contents. This is so at least to the extent that the role of an unsatisfied desire that the world be a certain way is to prompt behavior aimed at making the world that way.  ANSCOMBE, BELIEF, MOTIVATION. M.Sm. direct knowledge.BASING RELATION. direct passions.HUME. direct realism, the theory that perceiving is epistemically direct, unmediated by conscious or unconscious inference. Direct realism is distinguished, on the one hand, from indirect, or representative, realism, the view that perceptual awareness of material objects is mediated by an awareness of sensory representations, and, on the other hand, from forms of phenomenalism that identify material objects with states of mind. It might be thought that direct realism is incompatible with causal theories of perception. Such theories invoke causal chains leading from objects perceived (causes) to perceptual states of perceivers (effects). Since effects must be distinct from causes, the relation between an instance of perceiving and an object perceived, it would seem, cannot be direct. This, however, confuses epistemic directness with causal directness. A direct realist need only be committed to the former. In perceiving a tomato to be red, the content of my perceptual awareness is the tomato’s being red. I enter this state as a result of a complex causal process, perhaps. But my perception may be direct in the sense that it is unmediated by an awareness of a representational sensory state from which I am led to an awareness of the tomato. Perceptual error, and more particularly, hallucinations and illusions, are usually thought to pose special difficulties for direct realists. My hallucinating a red tomato, for instance, is not my being directly aware of a red tomato, since I may hallucinate the tomato even when none is present. Perhaps, then, my hallucinating a red tomato is partly a matter of my being directly diminished responsibility direct realism 237 4065A-  AM  237 aware of a round, red sensory representation. And if my awareness in this case is indistinguishable from my perception of an actual red tomato, why not suppose that I am aware of a sensory representation in the veridical case as well? A direct realist may respond by denying that hallucinations are in fact indistinguishable from veridical perceivings or by calling into question the claim that, if sensory representations are required to explain hallucinations, they need be postulated in the veridical case. 
PERCEPTION, PHENOMENALISM. J.F.H. direct reference.CAUSAL THEORY OF PROPER NAMES. direct sense.OBLIQUE CONTEXT. discourse ethics.HABERMAS. discrete time.TIME. disembodiment, the immaterial state of existence of a person who previously had a body. Disembodiment is thus to be distinguished from nonembodiment or immateriality. God and angels, if they exist, are non-embodied, or immaterial. By contrast, if human beings continue to exist after their bodies die, then they are disembodied. As this example suggests, disembodiment is typically discussed in the context of immortality or survival of death. It presupposes a view according to which persons are souls or some sort of immaterial entity that is capable of existing apart from a body. Whether it is possible for a person to become disembodied is a matter of controversy. Most philosophers who believe that this is possible assume that a disembodied person is conscious, but it is not obvious that this should be the case.  PERSONAL IDENTITY, PHILOSOPHY OF MIND, PLATO, SURVIVAL. E.R.W. disjoint.SET THEORY. disjunction.DISJUNCTIVE PROPOSITION, SYLLOGISM. disjunction elimination. (1) The argument form ‘A or B, if A then C, if B then C; therefore, C’ and arguments of this form. (2) The rule of inference that permits one to infer C from a disjunction together with derivations of C from each of the disjuncts separately. This is also known as the rule of disjunctive elimination or V-elimination.  DISJUNCTIVE PROPOSITION. G.F.S. disjunction introduction. (1) The argument form ‘A (or B); therefore, A or B’ and arguments of this form. (2) The rule of inference that permits one to infer a disjunction from either of its disjuncts. This is also known as the rule of addition or Vintroduction.  DISJUNCTIVE PROPOSITION. G.F.S. disjunctive normal form.NORMAL FORM. disjunctive proposition, a proposition whose main propositional operator (main connective) is the disjunction operator, i.e., the logical operator that represents ‘and/or’. Thus, ‘(P-and/orQ)-and-R’ is not a disjunctive proposition because its main connective is the conjunction operation, but ‘P-and/or-(Q-and-R)’ is disjunctive. R.W.B. disjunctive syllogism.SYLLOGISM. disposition, a tendency of an object or system to act or react in characteristic ways in certain situations. Fragility, solubility, and radioactivity are typical physical dispositions; generosity and irritability are typical dispositions of persons. For behaviorism, functionalism, and some forms of materialism, mental events, such as the occurrence of an idea, and states such as beliefs, are also dispositions. Hypothetical or conditional statements are implied by dispositional claims and capture their basic meaning: the glass would shatter if suitably struck; left undisturbed, a radium atom will probably decay in a certain time; etc. These are usually taken as subjunctive rather than material conditionals (to avoid problems like having to count as soluble anything not immersed in water). The characteristic mode of action or reaction – shattering, decaying, etc. – is termed the disposition’s manifestation or display. But it need not be observable. Fragility is a regular or universal disposition; a suitably struck glass invariably shatters. Radioactivity is variable or probabilistic; radium may or may not decay in a certain situation. Dispositions may also be multitrack or multiply manifested,rather than single-track or singly manifested: like hardness or elasticity, they may have different manifestations in different situations. In The Concept of Mind (1949) Ryle argued that there is nothing more to dispositional claims than their associated conditionals: dispositional properties are not occurrent; to possess a dispositional property is not to undergo any episode or occurrence, or to be in a particular state. (Coupled with a positivist rejection of unobservables, direct reference disposition 238 4065A-  AM  238 and a conception of mental episodes and states as dispositions, this supports the view of behaviorism that such episodes and states are nothing but dispositions to observable behavior.) By contrast, realism holds that dispositional talk is also about actual or occurrent properties or states, possibly unknown or unobservable. In particular, it is about the bases of dispositions in intrinsic properties or states: fragility is based in molecular structure, radioactivity in nuclear structure. A disposition’s basis is viewed as at least partly the cause of its manifestation. Some philosophers hold that the bases are categorical, not dispositional (D. M. Armstrong, A Materialist Theory of Mind, 1968). Others, notably Popper, hold that all properties are dispositional. 
BEHAVIORISM, COUNTERFACTUALS, PHILOSOPHY OF MIND, PHILOSOPHY OF SCIENCE, PROPENSITY, STATE. D.S. dispositional belief.BELIEF. dispositional state.STATE. dispositional theory of meaning.MEANING. dispositional theory of memory.MEMORY. disposition to believe.BELIEF. disquotation theory of truth.TRUTH. distinction, formal.FUNDAMENTUM DIVISIONIS. distinction, mental.FUNDAMENTUM DIVISIONIS. distinction, real.FUNDAMENTUM DIVISIONIS. distribution, the property of standing for every individual designated by a term. The Latin term distributio originated in the twelfth century; it was applied to terms as part of a theory of reference, and it may have simply indicated the property of a term prefixed by a universal quantifier. The term ‘dog’ in ‘Every dog has his day’ is distributed, because it supposedly refers to every dog. In contrast, the same term in ‘A dog bit the mailman’ is not distributed because it refers to only one dog. In time, the idea of distribution came to be used only as a heuristic device for determining the validity of categorical syllogisms: (1) every term that is distributed in a premise must be distributed in the conclusion; (2) the middle term must be distributed at least once. Most explanations of distribution in logic textbooks are perfunctory; and it is stipulated that the subject terms of universal propositions and the predicate terms of negative propositions are distributed. This is intuitive for A-propositions, e.g., ‘All humans are mortal’; the property of being mortal is distributed over each human. The idea of distribution is not intuitive for, say, the predicate term of O-propositions. According to the doctrine, the sentence ‘Some humans are not selfish’ says in effect that if all the selfish things are compared with some select human (one that is not selfish), the relation of identity does not hold between that human and any of the selfish things. Notice that the idea of distribution is not mentioned in this explanation. The idea of distribution is currently disreputable, mostly because of the criticisms of Geach in Reference and Generality (1968) and its irrelevance to standard semantic theories. The related term ‘distributively’ means ‘in a manner designating every item in a group individually’, and is used in contrast with ‘collectively’. The sentence ‘The rocks weighed 100 pounds’ is ambiguous. If ‘rocks’ is taken distributively, then the sentence means that each rock weighed 100 pounds. If ‘rocks’ is taken collectively, then the sentence means that the total weight of the rocks was 100 pounds.  SYLLOGISM. A.P.M. distributive justice.JUSTICE. distributive laws, the logical principles A 8 (B 7 C) S (A 8 B) 7 (A 7 C) and A 7 (B 8 C) S (A 7 B) 8 (A 7 C). Conjunction is thus said to distribute over disjunction and disjunction over conjunction.  DE MORGAN’S LAWS. G.F.S. distributively.DISTRIBUTION. divided line, one of three analogies (with the sun and cave) offered in Plato’s Republic (VI, 509d– 511e) as a partial explanation of the Good. Socrates divides a line into two unequal segments: the longer represents the intelligible world and the shorter the sensible world. Then each of the segments is divided in the same proportion. Socrates associates four mental states with the four resulting segments (beginning with the shortest): eikasia, illusion or the apprehension of images; pistis, belief in ordinary physical objects; dianoia, the sort of hypothetical reasondispositional belief divided line 239 4065A-  AM  239 ing engaged in by mathematicians; and noesis, rational ascent to the first principle of the Good by means of dialectic.  PLATO, SOCRATES. W.J.P. divine attributes, properties of God; especially, those properties that are essential and unique to God. Among properties traditionally taken to be attributes of God, omnipotence, omniscience, and omnibenevolence are naturally taken to mean having, respectively, power, knowledge, and moral goodness to the maximum degree. Here God is understood as an eternal (or everlasting) being of immense power, knowledge, and goodness, who is the creator and sustainer of the universe and is worthy of human worship. Omnipotence is maximal power. Some philosophers, notably Descartes, have thought that omnipotence requires the ability to do absolutely anything, including the logically impossible. Most classical theists, however, understood omnipotence as involving vast powers, while nevertheless being subject to a range of limitations of ability, including the inability to do what is logically impossible, the inability to change the past or to do things incompatible with what has happened, and the inability to do things that cannot be done by a being who has other divine attributes, e.g., to sin or to lie. Omniscience is unlimited knowledge. According to the most straightforward account, omniscience is knowledge of all true propositions. But there may be reasons for recognizing a limitation on the class of true propositions that a being must know in order to be omniscient. For example, if there are true propositions about the future, omniscience would then include foreknowledge. But some philosophers have thought that foreknowledge of human actions is incompatible with those actions being free. This has led some to deny that there are truths about the future and others to deny that such truths are knowable. In the latter case, omniscience might be taken to be knowledge of all knowable truths. Or if God is eternal and if there are certain tensed or temporally indexical propositions that can be known only by someone who is in time, then omniscience presumably does not extend to such propositions. It is a matter of controversy whether omniscience includes middle knowledge, i.e., knowledge of what an agent would do if other, counterfactual, conditions were to obtain. Since recent critics of middle knowledge (in contrast to Báñez and other sixteenth-century Dominican opponents of Molina) usually deny that the relevant counterfactual conditionals alleged to be the object of such knowledge are true, denying the possibility of middle knowledge need not restrict the class of true propositions a being must know in order to be omniscient. Finally, although the concept of omniscience might not itself constrain how an omniscient being acquires its knowledge, it is usually held that God’s knowledge is neither inferential (i.e., derived from premises or evidence) nor dependent upon causal processes. Omnibenevolenceis, literally, complete desire for good; less strictly, perfect moral goodness. Traditionally it has been thought that God does not merely happen to be good but that he must be so and that he is unable to do what is wrong. According to the former claim God is essentially good; according to the latter he is impeccable. It is a matter of controversy whether God is perfectly good in virtue of complying with an external moral standard or whether he himself sets the standard for goodness. Divine sovereignty is God’s rule over all of creation. According to this doctrine God did not merely create the world and then let it run on its own; he continues to govern it in complete detail according to his good plan. Sovereignty is thus related to divine providence. A difficult question is how to reconcile a robust view of God’s control of the world with libertarian free will. Aseity (or perseity) is complete independence. In a straightforward sense, God is not dependent on anyone or anything for his existence. According to stronger interpretation of aseity, God is completely independent of everything else, including his properties. This view supports a doctrine of divine simplicity according to which God is not distinct from his properties. Simplicity is the property of having no parts of any kind. According to the doctrine of divine simplicity, God not only has no spatial or temporal parts, but there is no distinction between God and his essence, between his various attributes (in him omniscience and omnipotence, e.g., are identical), and between God and his attributes. Attributing simplicity to God was standard in medieval theology, but the doctrine has seemed to many contemporary philosophers to be baffling, if not incoherent. 
DESCARTES, DIVINE FOREKNOWLEDGE, MIDDLE KNOWLEDGE, MOLINA, PHILOSOPHY OF RELIGION. E.R.W. divine command ethics, an ethical theory according to which part or all of morality divine attributes divine command ethics 240 4065A-  AM  240 depends upon the will of God as promulgated by divine commands. This theory has an important place in the history of Christian ethics. Divine command theories are prominent in the Franciscan ethics developed by John Duns Scotus and William Ockham; they are also endorsed by disciples of Ockham such as d’Ailly, Gerson, and Gabriel Biel; both Luther and Calvin adopt divine command ethics; and in modern British thought, important divine command theorists include Locke, Berkeley, and Paley. Divine command theories are typically offered as accounts of the deontological part of morality, which consists of moral requirements (obligation), permissions (rightness), and prohibitions (wrongness). On a divine command conception, actions forbidden by God are morally wrong because they are thus forbidden, actions not forbidden by God are morally right because they are not thus forbidden, and actions commanded by God are morally obligatory because they are thus commanded. Many Christians find divine command ethics attractive because the ethics of love advocated in the Gospels makes love the subject of a command. Matthew 22:37–40 records Jesus as saying that we are commanded to love God and the neighbor. According to Kierkegaard, there are two reasons to suppose that Christian love of neighbor must be an obligation imposed by divine command: first, only an obligatory love can be sufficiently extensive to embrace everyone, even one’s enemies; second, only an obligatory love can be invulnerable to changes in its objects, a love that alters not when it alteration finds. The chief objection to the theory is that dependence on divine commands would make morality unacceptably arbitrary. According to divine command ethics, murder would not be wrong if God did not exist or existed but failed to forbid it. Perhaps the strongest reply to this objection appeals to the doctrines of God’s necessary existence and essential goodness. God could not fail to exist and be good, and so God could not fail to forbid murder. In short, divine commands are not arbitrary fiats.  ETHICS, LOCKE, OCKHAM. P.L.Q. divine command theory.DIVINE COMMAND ETHICS, ETHICS. divine foreknowledge, God’s knowledge of the future. It appears to be a straightforward consequence of God’s omniscience that he has knowledge of the future, for presumably omniscience includes knowledge of all truths and there are truths about the future. Moreover, divine foreknowledge seems to be required by orthodox religious commitment to divine prophecy and divine providence. In the former case, God could not reliably reveal what will happen if he does know what will happen. And in the latter case, it is difficult to see how God could have a plan for what happens without knowing what that will be. A problem arises, however, in that it has seemed to many that divine foreknowledge is incompatible with human free action. Some philosophers (notably Boethius) have reasoned as follows: If God knows that a person will do a certain action, then the person must perform that action, but if a person must perform an action, the person does not perform the action freely. So if God knows that a person will perform an action, the person does not perform the action freely. This reason for thinking that divine foreknowledge is incompatible with human free action commits a simple modal fallacy. What must be the case is the conditional that if God knows that a person will perform an action then the person will in fact perform the action. But what is required to derive the conclusion is the implausible claim that from the assumption that God knows that a person will perform an action it follows not simply that the person will perform the action but that the person must perform it. Perhaps other attempts to demonstrate the incompatibility, however, are not as easily dismissed. One response to the apparent dilemma is to say that there really are no such truths about the future, either none at all or none about events, like future free actions, that are not causally necessitated by present conditions. Another response is to concede that there are truths about the future but to deny that truths about future free actions are knowable. In this case omniscience may be understood as knowledge, not of all truths, but of all knowable truths. A third, and historically important, response is to hold that God is eternal and that from his perspective everything is present and thus not future. These responses implicitly agree that divine foreknowledge is incompatible with human freedom, but they provide different accounts of omniscience according to which it does not include foreknowledge, or, at any rate, not foreknowledge of future free actions.  DIVINE ATTRIBUTES, FREE WILL PROBLEM, MIDDLE KNOWLEDGE, PHILOSOPHY OF RELIGION. E.R.W. divine command theory divine foreknowledge 241 4065A-  AM  241 divine sovereignty.DIVINE ATTRIBUTES. division, fallacy of.INFORMAL FALLACY. D-N model.COVERING LAW MODEL. Doctor Irrefragabilis.ALEXANDER OF HALES. Doctor Mirabilis.BACON, ROGER. doctrine of infinite analysis.LEIBNIZ. doctrine of minute perceptions.LEIBNIZ. doctrine of the mean.ARISTOTLE, CHUNG-YUNG. Dodgson, Charles Lutwidge.CARROLL. dogmatism.SKEPTICS. domain, of a science, the class of individuals that constitute its subject matter. Zoology, number theory, and plane geometry have as their respective domains the class of animals, the class of natural numbers, and the class of plane figures. In Posterior Analytics 76b10, Aristotle observes that each science presupposes its domain, its basic concepts, and its basic principles. In modern formalizations of a science using a standard firstorder formal language, the domain of the science is often, but not always, taken as the universe of the intended interpretation or intended model, i.e. as the range of values of the individual variables.  AXIOMATIC METHOD, FORMALIZATION, FORMAL LOGIC, MODEL THEORY, ONTOLOGICAL COMMITMENT, UNIVERSE OF DISCOURSE, VARIABLE. J.Cor. dominance, principle of.NEWCOMB’S PARADOX. dominate.
SCHRÖDER-BERNSTEIN THEOREM. donkey sentences, sentences exemplified by ‘Every man who owns a donkey beats it’, ‘If a man owns a donkey, he beats it’, and similar forms, which have posed logical puzzles since medieval times but were noted more recently by Geach. At issue is the logical form of such sentences – specifically, the correct construal of the pronoun ‘it’ and the indefinite noun phrase ‘a donkey’. Translations into predicate logic by the usual strategy of rendering the indefinite as existential quantification and the pronoun as a bound variable (cf. ‘John owns a donkey and beats it’ P (Dx) (x is a donkey & John owns x & John beats x)) are either ill-formed or have the wrong truth conditions. With a universal quantifier, the logical form carries the controversial implication that every donkey-owning man beats every donkey he owns. Efforts to resolve these issues have spawned much significant research in logic and linguistic semantics.  LOGICAL FORM. R.E.W. doomsday argument, an argument (associated chiefly with the mathematician Brandon Carter and the philosopher John Leslie) purporting to show, by appeal to Bayes’s theorem (and Bayes’s rule), that whatever antecedent probability we may have assigned to the hypothesis that human life will end relatively soon is magnified, perhaps greatly, upon our learning (or noticing) that we are among the first few score thousands of millions of human beings to exist.Leslie’s The End of the World: The Science and Ethics of Human Extinction (1996). The argument is based on an allegedly close analogy between the question of the probability of imminent human extinction given our ordinal location in the temporal swath of humanity and the fact that the reader’s name being among the first few drawn randomly from an urn may greatly enhance for the reader the probability that the urn contains fairly few names rather than very many.  BAYESIAN RATIONALITY, BAYES’S THEOREM, PROBABILITY. D.A.J. dot notation.LOGICAL NOTATION. double aspect theory.PHILOSOPHY OF MIND. double effect, principle of.PRINCIPLE OF DOUBLE EFFECT. double negation. (1) The principle, also called the law of double negation, that every proposition is logically equivalent to its double negation. Thus, the proposition that Roger is a rabbit is equivalent to the proposition that Roger is not not a rabbit. The law holds in classical logic but not for certain non-classical concepts of negation. In intuitionist logic, for example, a proposition implies, but need not be implied by, its double negation. (2) The rule of inference, also called the rule of double negation, that permits one to infer the double negation of A from A, and vice versa.  FORMAL LOGIC. G.F.S. double negation, law of.DOUBLE NEGATION. divine sovereignty double negation, law of 242 4065A-  AM  242 double truth, the theory that a thing can be true in philosophy or according to reason while its opposite is true in theology or according to faith. It serves as a response to conflicts between reason and faith. For example, on one interpretation of Aristotle, there is only one rational human soul, whereas, according to Christian theology, there are many rational human souls. The theory of double truth was attributed to Averroes and to Latin Averroists such as Siger of Brabant and Boethius of Dacia by their opponents, but it is doubtful that they actually held it. Averroes seems to have held that a single truth is scientifically formulated in philosophy and allegorically expressed in theology. Latin Averroists apparently thought that philosophy concerns what would have been true by natural necessity absent special divine intervention, and theology deals with what is actually true by virtue of such intervention. On this view, there would have been only one rational human soul if God had not miraculously intervened to multiply what by nature could not be multiplied. No one clearly endorsed the view that rational human souls are both only one and also many in number. 
AVERROES, SIGER OF BRABANT. P.L.Q. doubt, methodic.DESCARTES. downward saturated set.HINTIKKA SET. doxa.DOXASTIC. doxastic (from Greek doxa, ‘belief’), of or pertaining to belief. A doxastic mental state, for instance, is or incorporates a belief. Doxastic states of mind are to be distinguished, on the one hand, from such non-doxastic states as desires, sensations, and emotions, and, on the other hand, from subdoxastic states. By extension, a doxastic principle is a principle governing belief. A doxastic principle might set out conditions under which an agent’s forming or abandoning a belief is justified (epistemically or otherwise).  REASONS FOR BELIEF. J.F.H. doxastic holism.HOLISM. doxastic voluntarism.VOLUNTARISM. doxographers, compilers of and commentators on the opinions of ancient Greek philosophers. ‘Doxographers’ is an English translation of the modern Latin term coined by Hermann Diels for the title of his work Doxographi Graeci (1879). Here Diels assembled a series of Greek texts in which the views of Greek philosophers from the archaic to the Hellenistic era are set out in a relatively schematic way. In a lengthy introduction Diels reconstructed the history of the writing of these opinions, the doxography; this reconstruction is now a standard part of the historiography of ancient philosophy. The doxography itself is important both as a source of information for early Greek philosophy and also because later writers, ancient, medieval, and modern, often relied on it rather than primary materials. The crucial text for Diels’s reconstruction was the book Physical Opinions of the Philosophers (Placita Philosophorum), traditionally ascribed to Plutarch but no longer thought to be by him. The work lists the views of various philosophers and schools under subject headings such as “What Is Nature?” and “On the Rainbow.” Out of this work and others Diels reconstructed a Collection of Opinions that he ascribed to Aetius (A.D. c.100), a person mentioned by Theodoret (fifth century) as the author of such a work. Diels took Aetius’s ultimate source to be Theophrastus, who wrote a more discursive Physical Opinions. Because Aetius mentions the views of Hellenistic philosophers writing after Theophrastus, Diels postulated an intermediate source, which he called the Vetusta Placita (c.100 B.C.). The most accessible doxographical material is in the Lives and Opinions of Eminent Philosophers by Diogenes Laertius (A.D. c.200), who is, however, mainly interested in biography. He arranges philosophers by schools and treats each school chronologically. I.M. dravya, in Indian philosophies, substance. In Nyaya-Vaishesika all living and non-living things are substances, possessors of qualities (gunas) and causes of effects. Substances come in nine varieties: earth, air, fire, water, ether, time, space, minds, and bodies. For Jainism, there are six types of substances: the principles of motion and rest, space, time, minds, and bodies. Each (except time) is extended and each (except bodies) is immaterial. Visistadvaita, claiming six sorts of substance, includes God as a substance, as does Dvaita, on which all other substances depend for existence. Typically, schools of Buddhism deny that there are any substances, holding that what appear to be such are only bundles of events or states. K.E.Y. dravyasat (Sanskrit, ‘existence as a thing’ or, more loosely, ‘primary existence’), a category used by Indian Buddhist scholars to label the double truth dravyasat 243 4065A-  AM  243 most basic kind of existence that entities can have. It was usually opposed to prajñaptisat, ‘existence as a designation’ or ‘secondary existence’. According to most varieties of Buddhist metaphysics, anything that can be an object of thought or designation must exist in some sense; but some things exist primarily, really, in their own right (dravya-sat), while others exist only as objects of linguistic reference (prajñapti-sat). An example of the first kind would be a moment of physical form; an example of the second kind would be an ordinary object such as a pot, since this is composed of a series of existents of the first kind. P.J.G. dream argument.DESCARTES. Dretske, Fred (b.1932), American philosopher best known for his externalistic representational naturalism about experience, belief, perception, and knowledge. Educated at Purdue University and the University of Minnesota, he has taught at the University of Wisconsin (1960–88) and Stanford University (1988–98). In Seeing and Knowing (1969) Dretske develops an account of non-epistemic seeing, denying that seeing is believing – that for a subject S to see a dog, say, S must apply a concept to it (dog, animal, furry). The dog must look some way to S (S must visually differentiate the dog, but need not conceptually categorize it). This contrasts with epistemic seeing, where for S to see that a dog is before him, S would have to believe that it is a dog. In Knowledge and the Flow of Information (1981), a mind-independent objective sense of ‘information’ is applied to propositional knowledge and belief content. “Information” replaced Dretske’s earlier notion of a “conclusive reason” (1971). Knowing that p requires having a true belief caused or causally sustained by an event that carries the information that p. Also, the semantic content of a belief is identified with the most specific digitally encoded piece of information to which it becomes selectively sensitive during a period of learning. In Explaining Behavior (1988), Dretske’s account of representation (and misrepresentation) takes on a teleological flavor. The semantic meaning of a structure is now identified with its indicator function. A structure recruited for a causal role of indicating F’s, and sustained in that causal role by this ability, comes to mean F – thereby providing a causal role for the content of cognitive states, and avoiding epiphenomenalism about semantic content. In Naturalizing the Mind (1995), Dretske’s theory of meaning is applied to the problems of consciousness and qualia. He argues that the empirically significant features of conscious experience are exhausted by their functional (and hence representational) roles of indicating external sensible properties. He rejects the views that consciousness is composed of a higher-order hierarchy of mental states and that qualia are due to intrinsic, non-representational features of the underlying physical systems. Dretske is also known for his contributions on the nature of contrastive statements, laws of nature, causation, and epistemic non-closure, among other topics.  INFORMATION THEORY, NATURALISM, PHILOSOPHY OF MIND, QUALIA. F.A. dual-aspect theory.
PHILOSOPHY OF MIND. dual-attribute theory.PHILOSOPHY OF MIND. dualism, the view that reality consists of two disparate parts. The crux of dualism is an apparently unbridgeable gap between two incommensurable orders of being that must be reconciled if our assumption that there is a comprehensible universe is to be justified. Dualism is exhibited in the pre-Socratic division between appearance and reality; Plato’s realm of being containing eternal Ideas and realm of becoming containing changing things; the medieval division between finite man and infinite God; Descartes’s substance dualism of thinking mind and extended matter; Hume’s separation of fact from value; Kant’s division between empirical phenomena and transcendental noumena; the epistemological double-aspect theory of James and Russell, who postulate a neutral substance that can be understood in separate ways either as mind or brain; and Heidegger’s separation of being and time that inspired Sartre’s contrast of being and nothingness. The doctrine of two truths, the sacred and the profane or the religious and the secular, is a dualistic response to the conflict between religion and science. Descartes’s dualism is taken to be the source of the mind–body problem. If the mind is active unextended thinking and the body is passive unthinking extension, how can these essentially unlike and independently existing substances interact causally, and how can mental ideas represent material things? How, in other words, can the mind know and influence the body, and how can the body affect the mind? Descartes said mind and body interact and that ideas represent material things without resembling them, but dream argument dualism 244 4065A-  AM  244 could not explain how, and concluded merely that God makes these things happen. Proposed dualist solutions to the mind–body problem are Malebranche’s occasionalism (mind and body do not interact but God makes them appear to); Leibniz’s preestablished harmony among noninteracting monads; and Spinoza’s property dualism of mutually exclusive but parallel attributes expressing the one substance God. Recent mind–body dualists are Popper and John C. Eccles. Monistic alternatives to dualism include Hobbes’s view that the mental is merely the epiphenomena of the material; Berkeley’s view that material things are collections of mental ideas; and the contemporary materialist view of Smart, Armstrong, and Paul and Patricia Churchland that the mind is the brain. A classic treatment of these matters is Arthur O. Lovejoy’s The Revolt Against Dualism. Dualism is related to binary thinking, i.e., to systems of thought that are two-valued, such as logic in which theorems are valid or invalid, epistemology in which knowledge claims are true or false, and ethics in which individuals are good or bad and their actions are right or wrong. In The Quest for Certainty, Dewey finds that all modern problems of philosophy derive from dualistic oppositions, particularly between spirit and nature. Like Hegel, he proposes a synthesis of oppositions seen as theses versus antitheses. Recent attacks on the view that dualistic divisions can be explicitly described or maintained have been made by Wittgenstein, who offers instead a classification scheme based on overlapping family resemblances; by Quine, who casts doubt on the division between analytic or formal truths based on meanings and synthetic or empirical truths based on facts; and by Derrida, who challenges our ability to distinguish between the subjective and the objective. But despite the extremely difficult problems posed by ontological dualism, and despite the cogency of many arguments against dualistic thinking, Western philosophy continues to be predominantly dualistic, as witnessed by the indispensable use of two-valued matrixes in logic and ethics and by the intractable problem of rendering mental intentions in terms of material mechanisms or vice versa.  METAPHYSICS, PHILOSOPHY OF MIND. R.A.W. dualism, Cartesian.DUALISM, PHILOSOPHY OF MIND. dualism, ethical.ZOROASTRIANISM. Ducasse, C(urt) J(ohn) (1881–1969), Frenchborn American philosopher of mind and aesthetician. He arrived in the United States in 1900, received his Ph.D. from Harvard (1912), and taught at the University of Washington (1912–26) and Brown University (1926–58). His most important work is Nature, Mind and Death (1951). The key to his general theory is a non-Humean view of causation: the relation of causing is triadic, involving (i) an initial event, (ii) the set of conditions under which it occurs, and (iii) a resulting event; the initial event is the cause, the resulting event is the effect. On the basis of this view he constructed a theory of categories – an explication of such concepts as those of substance, property, mind, matter, and body. Among the theses he defended were that minds are substances, that they causally interact with bodies, and that human beings are free despite every event’s having a cause. In A Critical Examination of the Belief in a Life after Death (1961), he concluded that “the balance of the evidence so far obtained is on the side of . . . survival.” Like Schopenhauer, whom he admired, Ducasse was receptive to the religious and philosophical writings of the Far East. He wrote with remarkable objectivity on the philosophical problems associated with so-called paranormal phenomena. Ducasse’s epistemological views are developed in Truth, Knowledge and Causation (1968). He sets forth a realistic theory of perception (he says, about sense-qualities, “Berkeley is right and the realists are wrong” and, of material things, “the realists are right and Berkeley is wrong”). He provides the classical formulation of the “adverbial theory” or sense-qualities, according to which such qualities are not objects of experience or awareness but ways of experiencing or of being aware. One does not perceive a red material object by sensing a red sense-datum; for then perceiving would involve three entities – (i) the perceiving subject, (ii) the red sense-datum, and (iii) the red material object. But one may perceive a red material object by sensing redly; then the only entities involved are (i) the perceiving subject and (ii) the material object. Ducasse observes that, analogously, although it may be natural to say “dancing a waltz,” it would be more accurate to speak of “dancing waltzily.”  PERCEPTION, PHILOSOPHY OF MIND. R.M.C. duck – rabbit.
FIGURE– GROUND. Duhem, Pierre-Maurice-Marie (1861–1916), dualism, Cartesian Duhem, Pierre-Maurice-Marie 245 4065A-  AM  245 French physicist who wrote extensively on the history and philosophy of science. Like Georg Helm, Wilhelm Ostwald, and others, he was an energeticist, believing generalized thermodynamics to be the foundation of all of physics and chemistry. Duhem spent his whole scientific life advancing energetics, from his failed dissertation in physics (a version of which was accepted as a dissertation in mathematics), published as Le potentiel thermodynamique (1886), to his mature treatise, Traité d’énergétique (1911). His scientific legacy includes the Gibbs-Duhem and DuhemMargules equations. Possibly because his work was considered threatening by the Parisian scientific establishment or because of his right-wing politics and fervent Catholicism, he never obtained the position he merited in the intellectual world of Paris. He taught at the provincial universities of Lille, Rennes, and, finally, Bordeaux. Duhem’s work in the history and philosophy of science can be viewed as a defense of the aims and methods of energetics; whatever Duhem’s initial motivation, his historical and philosophical work took on a life of its own. Topics of interest to him included the relation between history of science and philosophy of science, the nature of conceptual change, the historical structure of scientific knowledge, and the relation between science and religion. Duhem was an anti-atomist (or anti-Cartesian); in the contemporary debates about light and magnetism, Duhem’s anti-atomist stance was also directed against the work of Maxwell. According to Duhem, atomists resolve the bodies perceived by the senses into smaller, imperceptible bodies. The explanation of observable phenomena is then referred to these imperceptible bodies and their motions, suitably combined. Duhem’s rejection of atomism was based on his instrumentalism (or fictionalism): physical theories are not explanations but representations; they do not reveal the true nature of matter, but give general rules of which laws are particular cases; theoretical propositions are not true or false, but convenient or inconvenient. An important reason for treating physics as nonexplanatory was Duhem’s claim that there is general consensus in physics and none in metaphysics – thus his insistence on the autonomy of physics from metaphysics. But he also thought that scientific representations become more complete over time until they gain the status of a natural classification. Accordingly, Duhem attacked the use of models by some scientists, e.g. Faraday and Maxwell. Duhem’s rejection of atomism was coupled with a rejection of inductivism, the doctrine that the only physical principles are general laws known through induction, based on observation of facts. Duhem’s rejection forms a series of theses collectively known as the Duhem thesis: experiments in physics are observations of phenomena accompanied by interpretations; physicists therefore do not submit single hypotheses, but whole groups of them, to the control of experiment; thus, experimental evidence alone cannot conclusively falsify hypotheses. For similar reasons, Duhem rejected the possibility of a crucial experiment. In his historical studies, Duhem argued that there were no abrupt discontinuities between medieval and early modern science – the so-called continuity thesis; that religion played a positive role in the development of science in the Latin West; and that the history of physics could be seen as a cumulative whole, defining the direction in which progress could be expected. Duhem’s philosophical works were discussed by the founders of twentieth-century philosophy of science, including Mach, Poincaré, the members of the Vienna Circle, and Popper. A revival of interest in Duhem’s philosophy began with Quine’s reference in 1953 to the Duhem thesis (also known as the Duhem-Quine thesis). As a result, Duhem’s philosophical works were translated into English – as The Aim and Structure of Physical Theory (1954) and To Save the Phenomena (1969). By contrast, few of Duhem’s extensive historical works – Les origines de la statique (2 vols., 1906–08), Études sur Léonard de Vinci (3 vols., 1906–13), and Système du monde (10 vols., 1913–59), e.g. – have been translated, with five volumes of the Système du monde actually remaining in manuscript form until 1954–59. Unlike his philosophical work, Duhem’s historical work was not sympathetically received by his influential contemporaries, notably George Sarton. His supposed main conclusions were rejected by the next generation of historians of science, who presented modern science as discontinuous with that of the Middle Ages. This view was echoed by historically oriented philosophers of science who, from the early 1960s, emphasized discontinuities as a recurrent feature of change in science – e.g. Kuhn in The Structure of Scientific Revolutions (1962).  CRUCIAL EXPERIMENT, MACH, PHILOSOPHY OF SCIENCE, QUINE, VIENNA CIRCLE. R.Ar. Duhem-Quine thesis.DUHEM. Duhem-Quine thesis Duhem-Quine thesis 246 4065A-  AM  246 Duhem thesis.DUHEM. Dummett, Michael A. E. (b.1925), British philosopher of language, logic, and mathematics, noted for his sympathy for metaphysical antirealism and for his exposition of the philosophy of Frege. Dummett regards allegiance to the principle of bivalence as the hallmark of a realist attitude toward any field of discourse. This is the principle that any meaningful assertoric sentence must be determinately either true or else false, independently of anyone’s ability to ascertain its truth-value by recourse to appropriate empirical evidence or methods of proof. According to Dummett, the sentences of any learnable language cannot have verification-transcendent truth conditions and consequently we should query the intelligibility of certain statements that realists regard as meaningful. On these grounds, he calls into question realism about the past and realism in the philosophy of mathematics in several of the papers in two collections of his essays, Truth and Other Enigmas (1978) and The Seas of Language (1993). In The Logical Basis of Metaphysics (1991), Dummett makes clear his view that the fundamental questions of metaphysics have to be approached through the philosophy of language, and more specifically through the theory of meaning. Here his philosophical debts to Frege and Wittgenstein are manifest. Dummett has been the world’s foremost expositor and champion of Frege’s philosophy, above all in two highly influential books, Frege: Philosophy of Language (1973) and Frege: Philosophy of Mathematics (1991). This is despite the fact that Frege himself advocated a form of Platonism in semantics and the philosophy of mathematics that is quite at odds with Dummett’s own anti-realist inclinations. It would appear, however, from what Dummett says in Origins of Analytical Philosophy (1993), that he regards Frege’s great achievement as that of having presaged the “linguistic turn” in philosophy that was to see its most valuable fruit in the later work of Wittgenstein. Wittgenstein’s principle that grasp of the meaning of a linguistic expression must be exhaustively manifested by the use of that expression is one that underlies Dummett’s own approach to meaning and his anti-realist leanings. In logic and the philosophy of mathematics this is shown in Dummett’s sympathy for the intuitionistic approach of Brouwer and Heyting, which involves a repudiation of the law of excluded middle, as set forth in Dummett’s own book on the subject, Elements of Intuitionism (1977).  BROUWER, MATHEMATICAL INTUITIONISM, METAPHYSICAL REALISM, WITTGENSTEIN. E.J.L. dunamis, also dynamis (Greek, ‘power’, ‘capacity’), as used by pre-Socratics such as Anaximander and Anaxagoras, one of the elementary character-powers, such as the hot or the cold, from which they believed the world was constructed. Plato’s early theory of Forms borrowed from the concept of character-powers as causes present in things; courage, e.g., is treated in the Laches as a power in the soul. Aristotle also used the word in this sense to explain the origins of the elements. In the Metaphysics (especially Book IX), Aristotle used dunamis in a different sense to mean ‘potentiality’ in contrast to ‘actuality’ (energeia or entelecheia). In the earlier sense of dunamis, matter is treated as potentiality, in that it has the potential to receive form and so be actualized as a concrete substance. In the later Aristotelian sense of dunamis, dormant abilities are treated as potentialities, and dunamis is to energeia as sleeping is to waking, or having sight to seeing.  ARISTOTLE, ENERGEIA. P.Wo. Duns Scotus, John (1266–1308), Scottish Franciscan metaphysician and philosophical theologian. He lectured at Oxford, Paris, and Cologne, where he died and his remains are still venerated. Modifying Avicenna’s conception of metaphysics as the science of being qua being, but univocally conceived, Duns Scotus showed its goal was to demonstrate God as the Infinite Being (revealed to Moses as the “I am who am”), whose creative will is the source of the world’s contingency. Out of love God fashioned each creature with a unique “haecceity” or particularity formally distinct from its individualized nature. Descriptively identical with others of its kind, this nature, conceived in abstraction from haecceity, is both objectively real and potentially universal, and provides the basis for scientific knowledge that Peirce calls “Scotistic realism.” Duns Scotus brought many of Augustine’s insights, treasured by his Franciscan predecessors, into the mainstream of the Aristotelianism of his day. Their notion of the will’s “supersufficient potentiality” for self-determination he showed can be reconciled with Aristotle’s notion of an “active potency,” if one rejects the controDuhem thesis Duns Scotus, John 247 4065A-  AM  247 versial principle that “whatever is moved is moved by another.” Paradoxically, Aristotle’s criteria for rational and non-rational potencies prove the rationality of the will, not the intellect, for he claimed that only rational faculties are able to act in opposite ways and are thus the source of creativity in the arts. If so, then intellect, with but one mode of acting determined by objective evidence, is non-rational, and so is classed with active potencies called collectively “nature.” Only the will, acting “with reason,” is free to will or nill this or that. Thus “nature” and “will” represent Duns Scotus’s primary division of active potencies, corresponding roughly to Aristotle’s dichotomy of non-rational and rational. Original too is his development of Anselm’s distinction of the will’s twofold inclination or “affection”: one for the advantageous, the other for justice. The first endows the will with an “intellectual appetite” for happiness and actualization of self or species; the second supplies the will’s specific difference from other natural appetites, giving it an innate desire to love goods objectively according to their intrinsic worth. Guided by right reason, this “affection for justice” inclines the will to act ethically, giving it a congenital freedom from the need always to seek the advantageous. Both natural affections can be supernaturalized, the “affection for justice” by charity, inclining us to love God above all and for his own sake; the affection for the advantageous by the virtue of hope, inclining us to love God as our ultimate good and future source of beatitude. Another influential psychological theory is that of intuitive intellectual cognition, or the simple, non-judgmental awareness of a hereand-now existential situation. First developed as a necessary theological condition for the face-toface vision of God in the next life, intellectual intuition is needed to explain our certainty of primary contingent truths, such as “I think,” “I choose,” etc., and our awareness of existence. Unlike Ockham, Duns Scotus never made intellectual intuition the basis for his epistemology, nor believed it puts one in direct contact with any extramental substance material or spiritual, for in this life, at least, our intellect works through the sensory imagination. Intellectual intuition seems to be that indistinct peripheral aura associated with each direct sensory-intellectual cognition. We know of it explicitly only in retrospect when we consider the necessary conditions for intellectual memory. It continued to be a topic of discussion and dispute down to the time of Calvin, who, influenced by the Scotist John Major, used an auditory rather than a visual sense model of intellectual intuition to explain our “experience of God.”  AUGUSTINE, AVICENNA, OCKHAM. A.B.W. Dutch book, a bet or combination of bets whereby the bettor is bound to suffer a net loss regardless of the outcome. A simple example would be a bet on a proposition p at odds of 3 : 2 combined with a bet on not-p at the same odds, the total amount of money at stake in each bet being five dollars. Under this arrangement, if p turned out to be true one would win two dollars by the first bet but lose three dollars by the second, and if p turned out to be false one would win two dollars by the second bet but lose three dollars by the first. Hence, whatever happened, one would lose a dollar.  PROBABILITY. R.Ke. Dutch book argument, the argument that a rational person’s degrees of belief must conform to the axioms of the probability calculus, since otherwise, by the Dutch book theorem, he would be vulnerable to a Dutch book. R.Ke. Dutch book theorem, the proposition that anyone who (a) counts a bet on a proposition p as fair if the odds correspond to his degree of belief that p is true and who (b) is willing to make any combination of bets he would regard individually as fair will be vulnerable to a Dutch book provided his degrees of belief do not conform to the axioms of the probability calculus. Thus, anyone of whom (a) and (b) are true and whose degree of belief in a disjunction of two incompatible propositions is not equal to the sum of his degrees of belief in the two propositions taken individually would be vulnerable to a Dutch book. R.Ke. duty, what a person is obligated or required to do. Duties can be moral, legal, parental, occupational, etc., depending on their foundations or grounds. Because a duty can have several different grounds, it can be, say, both moral and legal, though it need not be of more than one type. Natural duties are moral duties people have simply in virtue of being persons, i.e., simply in virtue of their nature. There is a prima facie duty to do something if and only if there is an appropriate basis for doing that thing. For instance, a prima facie moral duty will be one for which there is a moral basis, i.e., some moral grounds. This conDutch book duty 248 4065A-  AM  248 trasts with an all-things-considered duty, which is a duty one has if the appropriate grounds that support it outweigh any that count against it. Negative duties are duties not to do certain things, such as to kill or harm, while positive duties are duties to act in certain ways, such as to relieve suffering or bring aid. While the question of precisely how to draw the distinction between negative and positive duties is disputed, it is generally thought that the violation of a negative duty involves an agent’s causing some state of affairs that is the basis of the action’s wrongness (e.g., harm, death, or the breaking of a trust), whereas the violation of a positive duty involves an agent’s allowing those states of affairs to occur or be brought about. Imperfect duties are, in Kant’s words, “duties which allow leeway in the interest of inclination,” i.e., that permit one to choose among several possible ways of fulfilling them. Perfect duties do not allow that leeway. Thus, the duty to help those in need is an imperfect duty since it can be fulfilled by helping the sick, the starving, the oppressed, etc., and if one chooses to help, say, the sick, one can choose which of the sick to help. However, the duty to keep one’s promises and the duty not to harm others are perfect duties since they do not allow one to choose which promises to keep or which people not to harm. Most positive duties are imperfect; most negative ones, perfect.  DEONTIC LOGIC, KANT, RIGHTS, ROSS. B.R. du Vair, Guillaume (1556–1621), French philosopher, bishop, and political figure. Du Vair and Justus Lipsius were the two most influential propagators of neo-Stoicism in early modern Europe. Du Vair’s Sainte Philosophie (“Holy Philosophy,” 1584) and his shorter Philosophie morale des Stoïques (“Moral Philosophy of the Stoics,” 1585), were translated and frequently reprinted. The latter presents Epictetus in a form usable by ordinary people in troubled times. We are to follow nature and live according to reason; we are not to be upset by what we cannot control; virtue is the good. Du Vair inserts, moreover, a distinctly religious note. We must be pious, accept our lot as God’s will, and consider morality obedience to his command. Du Vair thus Christianized Stoicism, making it widely acceptable. By teaching that reason alone enables us to know how we ought to live, he became a founder of modern rationalism in ethics.  ETHICS, HUMAN NATURE, STOICISM. J.B.S. Dvaita Vedanta, a variety of Hinduism according to which Brahman is an independently existing, omnipotent, omniscient personal deity. In Dvaita Vedanta, Brahman everlastingly sustains in existence a world of minds and physical things without their being properly viewed as the body of Brahman, since this would mistakenly suggest that Brahman is limited and can be affected in ways analogous to those in which human beings are limited and can be affected by their bodies. The Upanishadic texts concerning the individual Aman’s identity to Brahman, and all things being in Brahman, are understood as asserting dependence on Brahman and resemblance to Brahman rather than numerical identity with Brahman. Each person is held to have his or her own essence (cf. the medieval Scholastic notion of a haecceity) and accordingly some are destined for enlightenment, some for endless transmigration, and some for misery. K.E.Y. Dworkin, Ronald M. (b.1931), American jurist, political philosopher, and a central contributor to recent legal and political theory. He has served as professor of jurisprudence, University of Oxford (1969–98), professor of law, New York University (1975–), and Quain Professor of Jurisprudence, University College, London (1998–). He was the first significant critic of Hart’s positivist analysis of law as based on a determinable set of social rules. Dworkin argues that the law contains legal principles as well as legal rules. Legal principles are standards phrased generally (e.g., ‘No one shall profit from his own wrong’); they do not have a formal “pedigree,” but are requirements of morality. Nonetheless, courts are obliged to apply such principles, and thus have no lawmaking discretion. Judicially enforceable legal rights must derive from antecedent political rights. Dworkin characterizes rights as political “trumps” – hence his title Taking Rights Seriously (2d ed., 1978), which collects the papers that defend the views sketched. Dworkin postulates an idealized judge, Hercules, who can invariably determine what rights are legally enforceable. Dworkin denies any metaphysical commitments thereby, and emphasizes instead the constructive and interpretive nature of both adjudication and legal theory. These arguments are made in papers collected in A Matter of Principle (1985). Law’s Empire (1986) systematizes his view. He presents there a theory of “law as integrity.” The court’s obligation is to make the community’s law the best it can be by finding decisions that best fit both institutional du Vair, Guillaume Dworkin, Ronald M. 249 4065A-  AM  249 history and moral principle. Hercules always best determines the best fit. Dworkin has also contributed to substantive political theory. He defends a form of liberalism that makes equality as prominent as liberty. His account of equality is found in a number of independent papers; see, e.g., “Foundations of Liberal Equality,” Tanner Lectures on Human Values XI (1990). Dworkin has applied his liberal theory in two ways. He has continually acted as a critical watchdog of the U.S. Supreme Court, assessing decisions for their adherence to the ideals of principle, respect for equality, and achievement of best fit. Some of these essays are in the two collections mentioned; the most recent are in Freedom’s Law (1996). Life’s Dominion (1993) derives from these ideals an account of abortion and euthanasia. Dworkin’s philosophizing has a conceptual richness and rhetorical fire that, when not wholly under control, give his theoretical positions a protean quality at the level of detail. Nonetheless, the ideas that adjudication should be principled and enforce rights, and that we all deserve equal dignity and respect, exercise a powerful fascination.  EUTHANASIA, HART, JURISPRUDENCE, LEGAL POSITIVISM, MORAL STATUS, NATURAL LAW, POLITICAL PHILOSOPHY, RIGHTS. R.A.Sh. Dyad.ACADEMY. dynamic logic, a branch of logic in which, in addition to the usual category of formulas interpretable as propositions, there is a category of expressions interpretable as actions. Dynamic logic (originally called the modal logic of programs) emerged in the late 1970s as one step in a long tradition within theoretical computer science aimed at providing a way to formalize the analysis of programs and their action. A particular concern here was program verification: what can be said of the effect of a program if started at a certain point? To this end operators [a] and ‹a( were introduced with the following intuitive readings: [a]A to mean ‘after every terminating computation according to a it is the case that A’ and ‹a(A to mean ‘after some terminating computation according to a it is the case that A’. The logic of these operators may be seen as a generalization of ordinary modal logic: where modal logic has one box operator A and one diamond operator B, dynamic logic has one box operator [a] and one diamond operator ‹a( for every program expression a in the language. In possible worlds semantics for modal logic a model is a triple (U, R, V) where U is a universe of points, R a binary relation, and V a valuation assigning to each atomic formula a subset of U. In dynamic logic, a model is a triple (U, R, V) where U and V are as before but R is a family of binary relations R(a), one for every program expression a in the language. Writing ‘Xx A’, where x is a point in U, for ‘A is true at x’ (in the model in question), we have the following characteristic truth conditions (truth-functional compounds are evaluated by truth tables, as in modal logic): Xx P if and only if x is a point in V(P), where P is an atomic formula, Xx[a]A if and only if, for all y, if x is R(a)- related to y then Xy A, Xx ‹a( if and only if, for some y, x is R(a)-related to y and Xy A. Traditionally, dynamic logic will contain machinery for rendering the three regular operators on programs: ‘!’ (sum), ‘;’ (composition), and ‘*’ (Kleene’s star operation), as well as the test operator ‘?’, which, operating on a proposition, will yield a program. The action a ! b consists in carrying out a or carrying out b; the action a;b in first carrying out a, then carrying out b; the action a* in carrying out a some finite number of times (not excluding 0); the action ?A in verifying that A. Only standard models reflect these intuitions: R(a ! b) % R(a) 4 R(b), R(a;b) % R(a) _ R(b), R(a*) % (R(a))*, R(?A) % {(x,x) : Xx A} (where ‘*’ is the ancestral star) The smallest propositional dynamic logic (PDL) is the set of formulas true at every point in every standard model. Note that dynamic logic analyzes non-deterministic action – this is evident at the level of atomic programs p where R(p) is a relation, not necessarily a function, and also in the definitions of R(a + b) and R(a*). Dynamic logic has been extended in various ways, e.g., to first- and second-order predicate logic. Furthermore, just as deontic logic, tense logic, etc., are referred to as modal logic in the wide sense, so extensions of dynamic logic in the narrow sense such as process logic are often loosely referred to as dynamic logic in the wide sense. Dyad dynamic logic 250 4065A-  AM  250 The philosophical interest in dynamic logic rests with the expectation that it will prove a fruitful instrument for analyzing the concept of action in general: a successful analysis would be valuable in itself and would also be relevant to other disciplines such as deontic logic and the logic of imperatives.  COMPUTER THEORY, DEONTIC LOGIC, MODAL LOGIC. K.Seg. dynamis.DUNAMIS, ENERGEIA. dynamism.BOSCOVICH. dynamis dynamism 251 4065A-  AM  251 Eckhart, Johannes, called Meister Eckhart (c.1260–1328), German mystic, theologian, and preacher. Eckhart entered the Dominican order early and began an academic circuit that took him several times to Paris as a student and master of theology and that initiated him into ways of thinking much influenced by Albertus Magnus and Thomas Aquinas. At Paris, Eckhart wrote the required commentary on the Sentences of Peter Lombard and finished for publication at least three formal disputations. But he had already held office within the Dominicans, and he continued to alternate work as administrator and as teacher. Eckhart preached throughout these years, and he continued to write spiritual treatises in the vernacular, of which the most important is the Book of Divine Consolation (1313/1322). Only about a third of Eckhart’s main project in Latin, the Opus tripartitum, seems ever to have been completed. Beginning in the early 1320s, questions were raised about Eckhart’s orthodoxy. The questions centered on what was characteristic of his teaching, namely the emphasis on the soul’s attaining “emptiness” so as to “give birth to God.” The soul is ennobled by its emptying, and it can begin to “labor” with God to deliver a spark that enacts the miraculous union-and-difference of their love. After being acquitted of heresy once, Eckhart was condemned on 108 propositions drawn from his writings by a commission at Cologne. The condemnation was appealed to the Holy See, but in 1329 Eckhart was there judged “probably heretical” on 17 of 28 propositions drawn from both his academic and popular works. The condemnation clearly limited Eckhart’s explicit influence in theology, though he was deeply appropriated not only by mystics such as Johannes Tauler and Henry Suso, but by church figures such as Nicholas of Cusa and Martin Luther. He has since been taken up by thinkers as different as Hegel, Fichte, and Heidegger.  ALBERTUS MAGNUS, AQUINAS, PETER LOMBARD. M.D.J. eclecticism.COUSIN. Eco, Umberto (b.1932), Italian philosopher, intellectual historian, and novelist. A leading figure in the field of semiotics, the general theory of signs. Eco has devoted most of his vast production to the notion of interpretation and its role in communication. In the 1960s, building on the idea that an active process of interpretation is required to take any sign as a sign, he pioneered reader-oriented criticism (The Open Work, 1962, 1976; The Role of the Reader, 1979) and championed a holistic view of meaning, holding that all of the interpreter’s beliefs, i.e., his encyclopedia, are potentially relevant to word meaning. In the 1970s, equally influenced by Peirce and the French structuralists, he offered a unified theory of signs (A Theory of Semiotics, 1976), aiming at grounding the study of communication in general. He opposed the idea of communication as a natural process, steering a middle way between realism and idealism, particularly of the Sapir-Whorf variety. The issue of realism looms large also in his recent work. In The Limits of Interpretation (1990) and Interpretation and Overinterpretation (1992), he attacks deconstructionism. Kant and the Platypus (1997) defends a “contractarian” form of realism, holding that the reader’s interpretation, driven by the Peircean regulative idea of objectivity and collaborating with the speaker’s underdetermined intentions, is needed to fix reference. In his historical essays, ranging from medieval aesthetics (The Aesthetics of Thomas Aquinas, 1956) to the attempts at constructing artificial and “perfect” languages (The Search for the Perfect Language, 1993) to medieval semiotics, he traces the origins of some central notions in contemporary philosophy of language (e.g., meaning, symbol, denotation) and such recent concerns as the language of mind and translation, to larger issues in the history of philosophy. All his novels are pervaded by philosophical queries, such as Is the world an ordered whole? (The Name of the Rose, 1980), and How much interpretation can one tolerate without falling prey to some conspiracy syndrome? (Foucault’s Pendulum, 1988). Everywhere, he engages the reader in the game of (controlled) interpretations.  DECONSTRUCTION, MEANING, SEMIOSIS, STRUCTURALISM. M.Sa. 252 E 4065A-  AM  252 ecofeminism.ENVIRONMENTAL PHILOSOPHY. economics, philosophy of.PHILOSOPHY OF ECONOMICS. economics, welfare.PHILOSOPHY OF ECONOMICS. education, philosophy of.PHILOSOPHY OF EDUCATION. eduction, the process of initial clarification, as of a phenomenon, text, or argument, that normally takes place prior to logical analysis. Out of the flux of vague and confused experiences certain characteristics are drawn into some kind of order or intelligibility in order that attention can be focused on them (Aristotle, Physics I). These characteristics often are latent, hidden, or implicit. The notion often is used with reference to texts as well as experience. Thus it becomes closely related to exegesis and hermeneutics, tending to be reserved for the sorts of clarification that precede formal or logical analyses.  HERMENEUTICS. F.S. Edwards, Jonathan (1703–58), American philosopher and theologian. He was educated at Yale, preached in New York City, and in 1729 assumed a Congregational pastorate in Northampton, Massachusetts, where he became a leader in the Great Awakening. Because of a dispute with his parishioners over qualifications for communion, he was forced to leave in 1750. In 1751, he took charge of congregations in Stockbridge, a frontier town sixty miles to the west. He was elected third president of Princeton in 1757 (but died shortly after inauguration). Edwards deeply influenced Congregational and Presbyterian theology in America for over a century, but had little impact on philosophy. Interest in him revived in the middle of the twentieth century, first among literary scholars and theologians and later among philosophers. While most of Edwards’s published work defends the Puritan version of Calvinist orthodoxy, his notebooks reveal an interest in philosophical problems for their own sake. Although he was indebted to Continental rationalists like Malebranche, to the Cambridge Platonists, and especially to Locke, his own contributions are sophisticated and original. The doctrine of God’s absolute sovereignty is explicated by occasionalism, a subjective idealism similar to Berkeley’s, and phenomenalism. According to Edwards, what are “vulgarly” called causal relations are mere constant conjunctions. True causes necessitate their effects. Since God’s will alone meets this condition, God is the only true cause. He is also the only true substance. Physical objects are collections of ideas of color, shape, and other “corporeal” qualities. Finite minds are series of “thoughts” or “perceptions.” Any substance underlying perceptions, thoughts, and “corporeal ideas” must be something that “subsists by itself, stands underneath, and keeps up” physical and mental qualities. As the only thing that does so, God is the only real substance. As the only true cause and the only real substance, God is “in effect being in general.” God creates to communicate his glory. Since God’s internal glory is constituted by his infinite knowledge of, love of, and delight in himself as the highest good, his “communication ad extra” consists in the knowledge of, love of, and joy in himself which he bestows upon creatures. The essence of God’s internal and external glory is “holiness” or “true benevolence,” a disinterested love of being in general (i.e., of God and the beings dependent on him). Holiness constitutes “true beauty,” a divine splendor or radiance of which “secondary” (ordinary) beauty is an imperfect image. God is thus supremely beautiful and the world is suffused with his loveliness. Vindications of Calvinist conceptions of sin and grace are found in Freedom of the Will (1754) and Original Sin (1758). The former includes sophisticated defenses of theological determinism and compatibilism. The latter contains arguments for occasionalism and interesting discussions of identity. Edwards thinks that natural laws determine kinds or species, and kinds or species determine criteria of identity. Since the laws of nature depend on God’s “arbitrary” decision, God establishes criteria of identity. He can thus, e.g., constitute Adam and his posterity as “one thing.” Edwards’s religious epistemology is developed in A Treatise Concerning Religious Affections (1746) and On the Nature of True Virtue (1765). The conversion experience involves the acquisition of a “new sense of the heart.” Its core is the mind’s apprehension of a “new simple idea,” the idea of “true beauty.” This idea is needed to properly understand theological truths. True Virtue also provides the fullest account of Edwards’s ethics – a moral sense theory that identifies virtue with benevolence. Although indebted to contemporaries like Hutcheson, Edwards criticizes their attempts to construct ethics on secular foundations. True benevolence ecofeminism Edwards, Jonathan 253 4065A-  AM  253 embraces being in general. Since God is, in effect, being in general, its essence is the love of God. A love restricted to family, nation, humanity, or other “private systems” is a form of self-love.  BERKELEY, CALVIN, FREE WILL PROBLEM, MORAL SENSE THEORY, OCCASIONALISM. W.J.Wa. effective procedure, a step-by-step recipe for computing the values of a function. It determines what is to be done at each step, without requiring any ingenuity of anyone (or any machine) executing it. The input and output of the procedure consist of items that can be processed mechanically. Idealizing a little, inputs and outputs are often taken to be strings on a finite alphabet. It is customary to extend the notion to procedures for manipulating natural numbers, via a canonical notation. Each number is associated with a string, its numeral. Typical examples of effective procedures are the standard grade school procedures for addition, multiplication, etc. One can execute the procedures without knowing anything about the natural numbers. The term ‘mechanical procedure’ or ‘algorithm’ is sometimes also used. A function f is computable if there is an effective procedure A that computes f. For every m in the domain of f, if A were given m as input, it would produce f(m) as output. Turing machines are mathematical models of effective procedures. Church’s thesis, or Turing’s thesis, is that a function is computable provided there is a Turing machine that computes it. In other words, for every effective procedure, there is a Turing machine that computes the same function.  CHURCH’S THESIS, COMPUTER THEORY, TURING MACHINE. S.Sha. efficacious grace.ARNAULD. efficient cause.ARISTOTLE. effluences.DEMOCRITUS. effluxes, theory of.DEMOCRITUS. ego.FREUD. ego, empirical.KANT. ego, transcendental.KANT. egocentric particular, a word whose denotation is determined by identity of the speaker and/or the time, place, and audience of his utterance. Examples are generally thought to include ‘I,’ ‘you’, ‘here’, ‘there’, ‘this’, ‘that’, ‘now’, ‘past’, ‘present’, and ‘future’. The term ‘egocentric particular’ was introduced by Russell in An Inquiry into Meaning and Truth (1940). In an earlier work, “The Philosophy of Logical Atomism” (Monist, 1918–19), Russell called such words “emphatic particulars.” Some important questions arise regarding egocentric particulars. Are some egocentric particulars more basic than others so that the rest can be correctly defined in terms of them but they cannot be correctly defined in terms of the rest? Russell thought all egocentric particulars can be defined by ‘this’; ‘I’, for example, has the same meaning as ‘the biography to which this belongs’, where ‘this’ denotes a sense-datum experienced by the speaker. Yet, at the same time, ‘this’ can be defined by the combination ‘what I-now notice’. Must we use at least some egocentric particulars to give a complete description of the world? Our ability to describe the world from a speaker-neutral perspective, so that the denotations of the terms in our description are independent of when, where, and by whom they are used, depends on our ability to describe the world without using egocentric particulars. Russell held that egocentric particulars are not needed in any part of the description of the world.  CAUSAL THEORY OF PROPER NAMES, INDEXICAL, TOKEN-REFLEXIVE. P.Mar. egocentric predicament, each person’s apparently problematic position as an experiencing subject, assuming that all our experiences are private in that no one else can have them. Two problems concern our ability to gain empirical knowledge. First, it is hard to see how we gain empirical knowledge of what others experience, if all experience is private. We cannot have their experience to see what it is like, for any experience we have is our experience and so not theirs. Second, it is hard to see how we gain empirical knowledge of how the external world is, independently of our experience. All our empirically justified beliefs seem to rest ultimately on what is given in experience, and if the empirically given is private, it seems it can only support justified beliefs about the world as we experience it. A third major problem concerns our ability to communicate with others. It is hard to see how we describe the world in a language others understand. We give meaning to some of our words by defining them by other words that already have effective procedure egocentric predicament 254 4065A-  AM  254 meaning, and this process of definition appears to end with words we define ostensively; i.e., we use them to name something given in experience. If experiences are private, no one else can grasp the meaning of our ostensively defined words or any words we use them to define. No one else can understand our attempts to describe the world.  PRIVATE LANGUAGE ARGUMENT, PROBLEM OF OTHER MINDS. P.Mar. egoism, any view that, in a certain way, makes the self central. There are several different versions of egoism, all of which have to do with how actions relate to the self. Ethical egoism is the view that people ought to do what is in their own selfinterest. Psychological egoism is a view about people’s motives, inclinations, or dispositions. One statement of psychological egoism says that, as a matter of fact, people always do what they believe is in their self-interest and, human nature being what it is, they cannot do otherwise. Another says that people never desire anything for its own sake except what they believe is in their own self-interest. Altruism is the opposite of egoism. Any ethical view that implies that people sometimes ought to do what is in the interest of others and not in their self-interest can be considered a form of ethical altruism. The view that, human nature being what it is, people can do what they do not believe to be in their self-interest might be called psychological altruism. Different species of ethical and psychological egoism result from different interpretations of self-interest and of acting from self-interest, respectively. Some people have a broad conception of acting from self-interest such that people acting from a desire to help others can be said to be acting out of self-interest, provided they think doing so will not, on balance, take away from their own good. Others have a narrower conception of acting from selfinterest such that one acts from self-interest only if one acts from the desire to further one’s own happiness or good. Butler identified self-love with the desire to further one’s own happiness or good and self-interested action with action performed from that desire alone. Since we obviously have other particular desires, such as the desires for honor, for power, for revenge, and to promote the good of others, he concluded that psychological egoism was false. People with a broader conception of acting from self-interest would ask whether anyone with those particular desires would act on them if they believed that, on balance, acting on them would result in a loss of happiness or good for themselves. If some would, then psychological egoism is false, but if, given human nature as it is, no one would, it is true even if self-love is not the only source of motivation in human beings. Just as there are broader and narrower conceptions of acting from self-interest, there are broader and narrower conceptions of self-interest itself, as well as subjective and objective conceptions of self-interest. Subjective conceptions relate a person’s self-interest solely to the satisfaction of his desires or to what that person believes will make his life go best for him. Objective conceptions see self-interest, at least in part, as independent of the person’s desires and beliefs. Some conceptions of self-interest are narrower than others, allowing that the satisfaction of only certain desires is in a person’s self-interest, e.g., desires whose satisfaction makes that person’s life go better for her. And some conceptions of self-interest count only the satisfaction of idealized desires, ones that someone would have after reflection about the nature of those desires and what they typically lead to, as furthering a person’s self-interest.  BUTLER, ETHICS, MOTIVATIONAL INTERNALISM, REASONS FOR ACTION. B.R. egoistic consequentialism.CONSEQUENTIALISM. eidetic intuition.HUSSERL. eidos.ARISTOTLE, HUSSERL. Eightfold Path.BUDDHISM. eikasia.DIVIDED LINE. Einfühlung (German, ‘feeling into’), empathy. In contrast to sympathy, where one’s identity is preserved in feeling with or for the other, in empathy or Einfühlung one tends to lose oneself in the other. The concept of Einfühlung received its classical formulation in the work of Theodor Lipps, who characterized it as a process of involuntary, inner imitation whereby a subject identifies through feeling with the movement of another body, whether it be the real leap of a dancer or the illusory upward lift of an architectural column. Complete empathy is considered to be aesthetic, providing a non-representational access to beauty. Husserl used a phenomenologically purified concept of Einfühlung to account for the way the self directly recognizes the other. Husserl’s student Edith Stein described Einfühlung as a blind egoism Einfühlung 255 4065A-  AM  255 mode of knowledge that reaches the experience of the other without possessing it. Einfühlung is not to be equated with Verstehen or human understanding, which, as Dilthey pointed out, requires the use of all one’s mental powers, and cannot be reduced to a mere mode of feeling. To understand is not to apprehend something empathetically as the projected locus of an actual experience, but to apperceive the meaning of expressions of experience in relation to their context. Whereas understanding is reflective, empathy is prereflective.  DILTHEY, HUSSERL, VERSTEHEN. R.A.M. Einstein, Albert (1879–1955), German-born American physicist, founder of the special and general theories of relativity and a fundamental contributor to several branches of physics and to the philosophical analysis and critique of modern physics, notably of relativity and the quantum theory. Einstein was awarded the Nobel Prize for physics in 1922, “especially for his discovery of the law of the photoelectric effect.” Born in Ulm in the German state of Württemberg, Einstein studied physics at the Polytechnic in Zürich, Switzerland. He was called to Berlin as director of the Kaiser Wilhelm Institute for Physics (1914) at the peak of the German ultranationalism that surrounded World War I. His reaction was to circulate an internationalist “Manifesto to Europeans” and to pursue Zionist and pacifist programs. Following the dramatic confirmation of the general theory of relativity (1919) Einstein became an international celebrity. This fame also made him the frequent target of German anti-Semites, who, during one notable episode, described the theory of relativity as “a Jewish fraud.” In 1933 Einstein left Germany for the Institute for Advanced Study in Princeton. Although his life was always centered on science, he was also engaged in the politics and culture of his times. He carried on an extensive correspondence (whose publication will run to over forty volumes) with both famous and ordinary people, including significant philosophical correspondence with Cassirer, Reichenbach, Moritz Schlick, and others. Despite reservations over logical positivism, he was something of a patron of the movement, helping to secure academic positions for several of its leading figures. In 1939 Einstein signed a letter drafted by the nuclear physicist Leo Szilard informing President Roosevelt about the prospects for harnessing atomic energy and warning of the German efforts to make a bomb. Einstein did not further participate in the development of atomic weapons, and later was influential in the movement against them. In 1952 he was offered, and declined, the presidency of Israel. He died still working on a unified field theory, and just as the founders of the Pugwash movement for nuclear disarmament adopted a manifesto he had cosigned with Russell. Einstein’s philosophical thinking was influenced by early exposure to Kant and later study of Hume and Mach, whose impact shows in the operationalism used to treat time in his famous 1905 paper on special relativity. That work also displays a passion for unity in science characteristic of nearly all his physical thinking, and that may relate to the monism of Spinoza, a philosopher whom he read and reread. Einstein’s own understanding of relativity stressed the invariance of the space-time interval and promoted realism with regard to the structure of spacetime. Realism also shows up in Einstein’s work on Brownian motion (1905), which was explicitly motivated by his long-standing interest in demonstrating the reality of molecules (and atoms), and in the realist treatment of light quanta in his analysis (1905) of the photoelectric effect. While he pioneered the development of statistical physics, especially in his seminal investigations of quantum phenomena (1905–25), he never broke with his belief in determinism as the only truly fundamental approach to physical processes. Here again one sees an affinity with Spinoza. Realism and determinism brought Einstein into conflict with the new quantum theory (1925–26), whose observer dependence and “flight into statistics” convinced him that it could not constitute genuinely fundamental physics. Although influential in its development, he became the theory’s foremost critic, never contributing to its refinement but turning instead to the program of unifying the electromagnetic and gravitational fields into one grand, deterministic synthesis that would somehow make room for quantum effects as limiting or singular cases. It is generally agreed that his unified field program was not successful, although his vision continues to inspire other unification programs, and his critical assessments of quantum mechanics still challenge the instrumentalism associated with the theory. Einstein’s philosophical reflections constitute an important chapter in twentieth-century thought. He understood realism as less a metaphysical doctrine than a motivational program, and he argued that determinism was a feature of theories rather than an aspect of the world Einstein, Albert Einstein, Albert 256 4065A-  AM  256 directly. Along with the unity of science, other central themes in his thinking include his rejection of inductivism and his espousal of holism and constructivism (or conventionalism), emphasizing that meanings, concepts, and theories are free creations, not logically derivable from experience but subject rather to overall criteria of comprehensibility, empirical adequacy, and logical simplicity. Holism is also apparent in his acute analysis of the testability of geometry and his rejection of Poincaré’s geometric conventionalism.  DETERMINISM, FIELD THEORY, QUANTUM MECHANICS, RELATIVITY, UNITY OF SCIENCE. A.F. élan vital.BERGSON. Eleatic School, strictly, two fifth-century B.C. Greek philosophers, Parmenides and Zeno of Elea. (The Ionian Greek colony of Elea or Hyele in southern Italy became Velia in Roman times and retains that name today.) A playful remark by Plato in Sophist 242d gave rise to the notion that Xenophanes of Colophon, who was active in southern Italy and Sicily, was Parmenides’ teacher, had anticipated Parmenides’ views, and founded the Eleatic School. Moreover, Melissus of Samos and (according to some ancient sources) even the atomist philosopher Leucippus of Abdera came to be regarded as “Eleatics,” in the sense of sharing fundamental views with Parmenides and Zeno. In the broad and traditional use of the term, the Eleatic School characteristically holds that “all is one” and that change and plurality are unreal. So stated, the School’s position is represented best by Melissus.  MELISSUS OF SAMOS, PARMENIDES, XENOPHANES. A.P.D.M. elementary equivalence.CATEGORICAL THEORY. elementary quantification theory.FORMAL LOGIC. elenchus, a cross-examination or refutation. Typically in Plato’s early dialogues, Socrates has a conversation with someone who claims to have some sort of knowledge, and Socrates refutes this claim by showing the interlocutor that what he thinks he knows is inconsistent with his other opinions. This refutation is called an elenchus. It is not entirely negative, for awareness of his own ignorance is supposed to spur the interlocutor to further inquiry, and the concepts and assumptions employed in the refutations serve as the basis for positive Platonic treatments of the same topic. In contrast, sophistic elenchi are merely eristic: they aim simply at the refutation of an opponent by any means. Thus, Aristotle calls fallacies that only appear to be refutations “sophistical elenchi.”  SOCRATES. E.C.H. Elias.COMMENTARIES ON ARISTOTLE. eliminability, Ramsey.BETH’s DEFINABILITY THEOREM. eliminative induction.INDUCTION. eliminative materialism.PHILOSOPHY OF MIND. eliminativism.FOLK PSYCHOLOGY. Elizabeth of Bohemia (1618–80), German Princess whose philosophical reputation rests on her correspondence with Descartes. The most heavily discussed portion of this correspondence focuses on the relationship between the mind and the body and on Descartes’s claim that the mind-body union is a simple notion. Her discussions of free will and of the nature of the sovereign good also have philosophical interest.  DESCARTES, PHILOSOPHY OF MIND. M.At. ellipsis, an expression (spoken or written) from which semantically or syntactically essential material has been deleted, usually for conciseness. Elliptical sentences are often used to answer questions without repeating material occurring in the questions. For example, the word ‘Lincoln’ may be an answer to the question of the authorship of the Gettysburg Address or to the question of the birthplace of George Boole. The single word ‘Lincoln’ can be seen as an elliptical name when used as an ellipsis of ‘Abraham Lincoln’, and it can be seen as an elliptical sentence when used as an ellipsis for ‘Abraham Lincoln wrote the Gettysburg Address’. Other typical elliptical sentences are: ‘Abe is a father of two [children]’, ‘Ben arrives at twelve [noon]’. A typical ellipsis that occurs in discussion of ellipses involves citing the elliptical sentences with the deleted material added in brackets (often with ‘sc.’ or ‘scilicet’) instead of also presenting the complete sentence. Ellipsis also occurs above the sentential level, e.g. where well-known premises are omitted in the course of argumentation. The word ‘enthymeme’ designates an elliptical argument expression from which one or more premise-expressions have been deleted. The élan vital ellipsis 257 4065A-  AM  257 expression ‘elliptic ambiguity’ designates ambiguity arising from ellipsis.  AMBIGUITY, ARGUMENT, LOGICAL FORM. J. Cor. emanationism, a doctrine about the origin and ontological structure of the world, most frequently associated with Plotinus and other Neoplatonists, according to which everything else that exists is an emanation from a primordial unity, called by Plotinus “the One.” The first product of emanation from the One is Intelligence (noûs), a realm resembling Plato’s world of Forms. From Intelligence emanates Soul (psuche), conceived as an active principle that imposes, insofar as that is possible, the rational structure of Intelligence on the matter that emanates from Soul. The process of emanation is typically conceived to be necessary and timeless: although Soul, for instance, proceeds from Intelligence, the notion of procession is one of logical dependence rather than temporal sequence. The One remains unaffected and undiminished by emanation: Plotinus likens the One to the sun, which necessarily emits light from its naturally infinite abundance without suffering change or loss of its own substance. Although emanationism influenced some Jewish, Christian, and Islamic thinkers, it was incompatible with those theistic doctrines of divine activity that maintained that God’s creative choice and the world thus created were contingent, and that God can, if he chooses, interact directly with individual creatures.  PLOTINUS. W.E.M. embodiment, the bodily aspects of human subjectivity. Embodiment is the central theme in European phenomenology, with its most extensive treatment in the works of Maurice MerleauPonty. Merleau-Ponty’s account of embodiment distinguishes between “the objective body,” which is the body regarded as a physiological entity, and “the phenomenal body,” which is not just some body, some particular physiological entity, but my (or your) body as I (or you) experience it. Of course, it is possible to experience one’s own body as a physiological entity. But this is not typically the case. Typically, I experience my body (tacitly) as a unified potential or capacity for doing this and that – typing this sentence, scratching that itch, etc. Moreover, this sense that I have of my own motor capacities (expressed, say, as a kind of bodily confidence) does not depend on an understanding of the physiological processes involved in performing the action in question. The distinction between the objective and phenomenal body is central to understanding the phenomenological treatment of embodiment. Embodiment is not a concept that pertains to the body grasped as a physiological entity. Rather it pertains to the phenomenal body and to the role it plays in our object-directed experiences.  MERLEAU-PONTY, PHENOMENOLOGY. D.Le. emergence.METHODOLOGICAL HOLISM. emergentism, descriptive.HOLISM. emergent materialism.PHILOSOPHY OF MIND. Emersonian perfectionism.CAVELL. Emerson, Ralph Waldo (1803–82), American philosophical essayist, lecturer, and poet, a leading figure in the transcendentalist movement. He was born in Boston and educated at Harvard. As a young man he taught school and served as a Unitarian minister (1826–32). After he resigned his pastorate in 1832, he traveled to Europe to visit Coleridge, Carlyle, and Wordsworth. Upon his return, he settled in Concord, Massachusetts, and began anew as a public lecturer, essayist, and cultural critic. All the while he maintained a voluminous correspondence and kept a detailed, evocative journal. Most of this material has been published, and it casts considerable light on the depth of his thought, at times more so than his public presentations and books. His life was pockmarked by personal tragedies, notably the death of his father when Emerson was eight; the death of his first wife, Ellen, after two years of marriage; and the death of his oldest son, Waldo, at the age of five. Such afflictions belie the commonly held assumption that Emerson was a thinker who did not face the intractable problem of evil. To the contrary, his writings should be read as a continuing struggle to render the richest possible version of our situation, given that “things are in the saddle and ride mankind.” Although Emerson did not write a systematic work in philosophy, he unquestionably bequeathed an important philosophical vision and countless philosophical pieces. Beginning with his concentration on the motif of nature, its embracing quality, and the rhythms of our inextricable presence within its activities, Emerson details the “compensatory” ebb and flow of the human journey. The human soul and nature are related as “print” to “seal,” and yet nature is not always beneficent. In his essay “Compensation,” emanationism Emerson, Ralph Waldo 258 4065A-  AM  258 Emerson writes that “the value of the universe continues to throw itself into every point. If the good is there, so is the evil; if the affinity, so the repulsion, if the force, so the limitation.” After the acclaim given the publication of Emerson’s first book, Nature (1836), he began to gather his public lectures, a presentational medium at which he was riveting, convincing, and inspiring. In 1841 Emerson published his Essays – First Series, which included the lovely piece “Circles,” wherein he follows the blunt maxim “we grizzle every day” with the healing affirmation that “life is a series of surprises.” This volume also contains “Self-Reliance,” which furnished a motto for the self-proclaiming intrepidity of nineteenth-century American individualism. The enthusiastic response to Emerson’s essays enabled him to publish three additional collections within the decade: Essays – Second Series (1844), Nature, Addresses and Lectures (1849), and Representative Men (1850). These books and their successors contained lectures, orations, poems, and addresses over a wide range of topics, philosophical, personal, characterological, travel, historical, and literary. Emerson’s prose is swift, clear, and epigrammatic, like a series of written stochastic probes, resulting in a Yankee crazy quilt, munificent of shape and color. Emerson spoke to be heard and wrote to be read, especially by the often denigrated “common” person. In fact, during Emerson’s European lecture tour in 1848, a letter to a London newspaper requested lowering the admission price so that poorer people could attend, for “to miss him is to lose an important part of the Nineteenth Century.” Emerson’s deeply democratic attitude had a reflective philosophical base. He believed that ordinary experience was epiphanic if we but open ourselves to its virtually infinite messages. Despite his Brahmanic appearance and demeanor, Emerson was in continuous touch with ordinary things. He wrote, “Our chief experiences have been casual.” His belief in the explosive and pedagogical character of ordinary experience is especially present in his influential oration “The American Scholar.” After criticizing American thought as thoroughly derivative, he plots the influences necessary to generate a genuine scholar, paramount among them nature and the learning of the past, though he cautions us not to be trapped in excessive retrospection at the expense of “an original relation to the universe.” It is his discussion of “action” as the third influence on the scholar that enables him to project his clearest statement of his underlying philosophical commitment. Without action, “thought can never ripen into truth,” moreover, “thinking is a partial act,” whereas living is a “total act.” Expressly opposed to any form of psychological, religious, philosophical, or behavioral dualism, he counsels us that the spiritual is not set apart, beyond reach of those who toil in the everyday. Rather, the most profound meanings of the human condition, “lurk” in the “common,” the “low,” the “familiar,” the “today.” The influence of the thought of Emerson reaches across class, caste, genre, and persuasion. Thinkers as diverse as James, Nietzsche, Whitman, Proust, Gertrude Stein, Robert Frost, Frank Lloyd Wright, Frederick Law Olmsted, and Wallace Stevens are among those deeply indebted to Emerson. Yet, it was Dewey who best caught the enduring bequest of Emerson, writing of “the final word of Emerson’s philosophy, [as] the identity of Being, unqualified and immutable, with character.”  TRANSCENDENTALISM. J.J.M. emotion, as conceived by philosophers and psychologists, any of several general types of mental states, approximately those that had been called “passions” by earlier philosophers, such as Descartes and Hume. Anger, e.g., is one emotion, fear a second, and joy a third. An emotion may also be a content-specific type, e.g., fear of an earthquake, or a token of an emotion type, e.g., Mary’s present fear that an earthquake is imminent. The various states typically classified as emotions appear to be linked together only by overlapping family resemblances rather than by a set of necessary and sufficient conditions. Thus an adequate philosophical or psychological “theory of emotion” should probably be a family of theories. Even to label these states “emotions” wrongly suggests that they are all marked by emotion, in the older sense of mental agitation (a metaphorical extension of the original sense, agitated motion). A person who is, e.g., pleased or sad about something is not typically agitated. To speak of anger, fear, joy, sadness, etc., collectively as “the emotions” fosters the assumption (which James said he took for granted) that these are just qualitatively distinct feelings of mental agitation. This exaggerates the importance of agitation and neglects the characteristic differences, noted by Aristotle, Spinoza, and others, in the types of situations that evoke the various emotions. One important feature of most emotions is captured by the older category of passions, in the sense of ‘ways of being acted upon’. In many lanemotion emotion 259 4065A-  AM  259 guages nearly all emotion adjectives are derived from participles: e.g., the English words ‘amused’, ‘annoyed’, ‘ashamed’, ‘astonished’, ‘delighted’, ‘embarrassed’, ‘excited’, ‘frightened’, ‘horrified’, ‘irritated’, ‘pleased’, ‘terrified’, ‘surprised’, ‘upset’, and ‘worried’. When we are, e.g., embarrassed, something acts on us, i.e., embarrasses us: typically, some situation or fact of which we are aware, such as our having on unmatched shoes. To call embarrassment a passion in the sense of a way of being acted upon does not imply that we are “passive” with respect to it, i.e., have no control over whether a given situation embarrasses us and thus no responsibility for our embarrassment. Not only situations and facts but also persons may “do” something to us, as in love and hate, and mere possibilities may have an effect on us, as in fear and hope. The possibility emotions are sometimes characterized as “forward-looking,” and emotions that are responses to actual situations or facts are said to be “backward-looking.” These temporal characterizations are inaccurate and misleading. One may be fearful or hopeful that a certain event occurred in the past, provided one is not certain as to whether it occurred; and one may be, e.g., embarrassed about what is going to occur, provided one is certain it will occur. In various passions the effect on us may include involuntary physiological changes, feelings of agitation due to arousal of the autonomic nervous system, characteristic facial expressions, and inclinations toward intentional action (or inaction) that arise independently of any rational warrant. Phenomenologically, however, these effects do not appear to us to be alien and non-rational, like muscular spasms. Rather they seem an integral part of our perception of the situation as, e.g., an embarrassing situation, or one that warrants our embarrassment.  JAMES-LANGE THEORY, PHILOSOPHY OF MIND. R.M.G. emotions, the seven.KOREAN PHILOSOPHY. emotions, the six.CH’ING. emotive conjugation, a humorous verbal conjugation, designed to expose and mock first-person bias, in which ostensibly the same action is described in successively more pejorative terms through the first, second, and third persons (e.g., “I am firm, You are stubborn, He is a pig-headed fool”). This example was used by Russell in the course of a BBC Radio “Brains’ Trust” discussion in 1948. It was popularized later that year when The New Statesman ran a competition for other examples. An “unprecedented response” brought in 2,000 entries, including: “I am well informed, You listen to gossip, He believes what he reads in the paper”; and “I went to Oxford, You went to Cambridge, He went to the London School of Economics” (Russell was educated at Cambridge and later taught there).  RUSSELL. N.G. emotive meaning.EMOTIVISM, MEANING. emotivism, a noncognitivist metaethical view opposed to cognitivism, which holds that moral judgments should be construed as assertions about the moral properties of actions, persons, policies, and other objects of moral assessment, that moral predicates purport to refer to properties of such objects, that moral judgments (or the propositions that they express) can be true or false, and that cognizers can have the cognitive attitude of belief toward the propositions that moral judgments express. Noncognitivism denies these claims; it holds that moral judgments do not make assertions or express propositions. If moral judgments do not express propositions, the former can be neither true nor false, and moral belief and moral knowledge are not possible. The emotivist is a noncognitivist who claims that moral judgments, in their primary sense, express the appraiser’s attitudes – approval or disapproval – toward the object of evaluation, rather than make assertions about the properties of that object. Because emotivism treats moral judgments as the expressions of the appraiser’s pro and con attitudes, it is sometimes referred to as the boohurrah theory of ethics. Emotivists distinguish their thesis that moral judgments express the appraiser’s attitudes from the subjectivist claim that they state or report the appraiser’s attitudes (the latter view is a form of cognitivism). Some versions of emotivism distinguish between this primary, emotive meaning of moral judgments and a secondary, descriptive meaning. In its primary, emotive meaning, a moral judgment expresses the appraiser’s attitudes toward the object of evaluation rather than ascribing properties to that object. But secondarily, moral judgments refer to those non-moral properties of the object of evaluation in virtue of which the appraiser has and expresses her attitudes. So if I judge that your act of torture is wrong, my judgment has two components. Its primary, emotive emotions, the seven emotivism 260 4065A-  AM  260 sense is to express my disapproval of your act. Its secondary, descriptive sense is to denote those non-moral properties of your act upon which I base my disapproval. These are presumably the very properties that make it an act of torture – roughly, a causing of intense pain in order to punish, coerce, or afford sadistic pleasure. By making emotive meaning primary, emotivists claim to preserve the univocity of moral language between speakers who employ different criteria of application for their moral terms. Also, by stressing the intimate connection between moral judgment and the agent’s non-cognitive attitudes, emotivists claim to capture the motivational properties of moral judgment. Some emotivists have also attempted to account for ascriptions of truth to moral judgments by accepting the redundancy account of ascriptions of truth as expressions of agreement with the original judgment. The emotivist must think that such ascriptions of truth to moral judgments merely reflect the ascriber’s agreement in noncognitive attitude with the attitude expressed by the original judgment. Critics of emotivism challenge these alleged virtues. They claim that moral agreement need not track agreement in attitude; there can be moral disagreement without disagreement in attitude (between moralists with different moral views), and disagreement in attitude without moral disagreement (between moralists and immoralists). By distinguishing between the meaning of moral terms and speakers’ beliefs about the extension of those terms, critics claim that we can account for the univocity of moral terms in spite of moral disagreement without introducing a primary emotive sense for moral terms. Critics also allege that the emotivist analysis of moral judgments as the expression of the appraiser’s attitudes precludes recognizing the possibility of moral judgments that do not engage or reflect the attitudes of the appraiser. For instance, it is not clear how emotivism can accommodate the amoralist – one who recognizes moral requirements but is indifferent to them. Critics also charge emotivism with failure to capture the cognitive aspects of moral discourse. Because emotivism is a theory about moral judgment or assertion, it is difficult for the emotivist to give a semantic analysis of moral predicates in unasserted contexts, such as in the antecedents of conditional moral judgments (e.g., “If he did wrong, then he ought to be punished”). Finally, one might want to recognize the truth of some moral judgments, perhaps in order to make room for the possibility of moral mistakes. If so, then one may not be satisfied with the emotivist’s appeal to redundancy or disquotational accounts of the ascription of truth. Emotivism was introduced by Ayer in Language, Truth, and Logic (2d ed., 1946) and refined by C. L. Stevenson in Facts and Values (1963) and Ethics and Language (1944).  COGNITIVISM, ETHICAL OBJECTIVISM, METAETHICS, MORAL SKEPTICISM, NIHILISM, NONCOGNITIVISM, PRESCRIPTIVISM. D.O.B. empathic solipsism.SOLIPSISM. empathy, imaginative projection into another person’s situation, especially for vicarious capture of its emotional and motivational qualities. The term is an English rendering (by the AngloAmerican psychologist E. G. Titchener, 1867– 1927) of the German Einfühlung, made popular by Theodore Lipps (1851–1914), which also covered imaginative identification with inanimate objects of aesthetic contemplation. Under ‘sympathy’, many aspects were earlier discussed by Hume, Adam Smith, and other Scottish philosophers. Empathy has been considered a precondition of ethical thinking and a major contributor to social bonding and altruism, mental state attribution, language use, and translation. The relevant spectrum of phenomena includes automatic and often subliminal motor mimicry of the expressions or manifestations of another’s real or feigned emotion, pain, or pleasure; emotional contagion, by which one “catches” another’s apparent emotion, often unconsciously and without reference to its cause or “object”; conscious and unconscious mimicry of direction of gaze, with consequent transfer of attention from the other’s response to its cause; and conscious or unconscious role-taking, which reconstructs in imagination (with or without imagery) aspects of the other’s situation as the other “perceives” it.  EINFÜHLUNG, EMOTION, EXPRESSION THEORY OF ART, HUME, PROBLEM OF OTHER MINDS, SIMULATION THEORY, SMITH, VERSTEHEN. R.M.G. Empedocles (c.495–c.435 B.C.), Greek preSocratic philosopher who created a physical theory in response to Parmenides while incorporating Pythagorean ideas of the soul into his philosophy. Following Parmenides in his rejection of coming-to-be and perishing, he accounted for phenomenal change by positing four elements (his “roots,” rizomata), earth, empathic solipsism Empedocles 261 4065A-  AM  261 water, air, and fire. When they mix together in set proportions they create compound substances such as blood and bone. Two forces act on the elements, Love and Strife, the former joining the different elements, the latter separating them. In his cyclical cosmogony the four elements combine to form the Sphere, a completely homogeneous spherical body permeated by Love, which, shattered by Strife, grows into a cosmos with the elements forming distinct cosmic masses of earth, water (the seas), air, and fire. There is controversy over whether Empedocles posits one or two periods when living things exist in the cycle. (On one view there are two periods, between which intervenes a stage of complete separation of the elements.) Empedocles accepts the Pythagorean view of reincarnation of souls, seeing life as punishment for an original sin and requiring the expiation of a pious and philosophical life. Thus the exile and return of the individual soul reflects in the microcosm the cosmic movement from harmony to division to harmony. Empedocles’ four elements became standard in natural philosophy down to the early modern era, and Aristotle recognized his Love and Strife as an early expression of the efficient cause.  PYTHAGORAS. D.W.G. empirical.A PRIORI. empirical decision theory, the scientific study of human judgment and decision making. A growing body of empirical research has described the actual limitations on inductive reasoning. By contrast, traditional decision theory is normative; the theory proposes ideal procedures for solving some class of problems. The descriptive study of decision making was pioneered by figures including Amos Tversky, Daniel Kahneman, Richard Nisbett, and Lee Ross, and their empirical research has documented the limitations and biases of various heuristics, or simple rules of thumb, routinely used in reasoning. The representativeness heuristic is a rule of thumb used to judge probabilities based on the degree to which one class represents (or resembles) another class. For example, we assume that basketball players have a “hot hand” during a particular game – producing an uninterrupted string of successful shots – because we underestimate the relative frequency with which such successful runs occur in the entire population of that player’s record. The availability heuristic is a rule of thumb that uses the ease with which an instance comes to mind as an index of the probability of an event. Such a rule is unreliable when salience in memory misleads; for example, most people (incorrectly) rate death by shark attack as more probable than death by falling airplane parts. (For an overview, see D. Kahneman, P. Slovic, and A. Tversky, eds., Judgment Under Uncertainty: Heuristics and Biases, 1982.) These biases, found in laypeople and statistical experts alike, have a natural explanation on accounts such as Herbert Simon’s (1957) concept of “bounded rationality.” According to this view, the limitations on our decision making are fixed in part by specific features of our psychological architecture. This architecture places constraints on such factors as processing speed and information capacity, and this in turn produces predictable, systematic errors in performance. Thus, rather than proposing highly idealized rules appropriate to an omniscient Laplacean genius – more characteristic of traditional normative approaches to decision theory – empirical decision theory attempts to formulate a descriptively accurate, and thus psychologically realistic, account of rationality. Even if certain simple rules can, in particular settings, outperform other strategies, it is still important to understand the causes of the systematic errors we make on tasks perfectly representative of routine decision making. Once the context is specified, empirical decision-making research allows us to study both descriptive decision rules that we follow spontaneously and normative rules that we ought to follow upon reflection.  BAYESIAN RATIONALITY, DECISION THEORY, HEURISTICS. J.D.T. empirical ego.KANT. empirical meaning.MEANING. empirical probability.PROBABILITY. empiricism (from empiric, ‘doctor who relies on practical experience’, ultimately from Greek empeiria, ‘experience’), a type of theory in epistemology, the basic idea behind all examples of the type being that experience has primacy in human knowledge and justified belief. Because empiricism is not a single view but a type of view with many different examples, it is appropriate to speak not just of empiricism but of empiricisms. Perhaps the most fundamental distinction to be drawn among the various empiricisms is that between those consisting of some claim about concepts and those consisting of some empirical empiricism 262 4065A-  AM  262 claim about beliefs – call these, respectively, concept-empiricisms and belief-empiricisms. Concept-empiricisms all begin by singling out those concepts that apply to some experience or other; the concept of dizziness, e.g., applies to the experience of dizziness. And what is then claimed is that all concepts that human beings do and can possess either apply to some experience that someone has had, or have been derived from such concepts by someone’s performing on those concepts one or another such mental operation as combination, distinction, and abstraction. How exactly my concepts are and must be related to my experience and to my performance of those mental operations are matters on which concept-empiricists differ; most if not all would grant we each acquire many concepts by learning language, and it does not seem plausible to hold that each concept thus acquired either applies to some experience that one has oneself had or has been derived from such by oneself. But though concept-empiricists disagree concerning the conditions for linguistic acquisition or transmission of a concept, what unites them, to repeat, is the claim that all human concepts either apply to some experience that someone has actually had or they have been derived from such by someone’s actually performing on those the mental operations of combination, distinction, and abstraction. Most concept-empiricists will also say something more: that the experience must have evoked the concept in the person having the experience, or that the person having the experience must have recognized that the concept applies to his or her experience, or something of that sort. What unites all belief-empiricists is the claim that for one’s beliefs to possess one or another truth-relevant merit, they must be related in one or another way to someone’s experience. Beliefempiricisms differ from each other, for one thing, with respect to the merit concerning which the claim is made. Some belief-empiricists claim that a belief does not have the status of knowledge unless it has the requisite relation to experience; some claim that a belief lacks warrant unless it has that relation; others claim that a belief is not permissibly held unless it stands in that relation; and yet others claim that it is not a properly scientific belief unless it stands in that relation. And not even this list exhausts the possibilities. Belief-empiricisms also differ with respect to the specific relation to experience that is said to be necessary for the merit in question to be present. Some belief-empiricists hold, for example, that a belief is permissibly held only if its propositional content is either a report of the person’s present or remembered experience, or the belief is held on the basis of such beliefs and is probable with respect to the beliefs on the basis of which it is held. Kant, by contrast, held the rather different view that if a belief is to constitute (empirical) knowledge, it must in some way be about experience. Third, belief-empiricisms differ from each other with respect to the person to whose experience a belief must stand in the relation specified if it is to possess the merit specified. It need not always be an experience of the person whose belief is being considered. It might be an experience of someone giving testimony about it. It should be obvious that a philosopher might well accept one kind of empiricism while rejecting others. Thus to ask philosophers whether they are empiricists is a question void for vagueness. It is regularly said of Locke that he was an empiricist; and indeed, he was a concept-empiricist of a certain sort. But he embraced no version whatsoever of belief-empiricism. Up to this point, ‘experience’ has been used without explanation. But anyone acquainted with the history of philosophy will be aware that different philosophers pick out different phenomena with the word; and even when they pick out the same phenomenon, they have different views as to the structure of the phenomenon that they call ‘experience.’ The differences on these matters reflect yet more distinctions among empiricisms than have been delineated above.  EPISTEMOLOGY, LOGICAL POSITIVISM, RATIONALISM. N.P.W. empiricism, constructive.SOCIAL CONSTRUCTIVISM. empiricism, British.RATIONALISM. empiricism, logical.LOGICAL POSITIVISM. enantiamorphs (from Greek enantios, ‘opposite’, and morphe, ‘form’), objects whose shapes differ as do those of a right and left hand. One of a pair of enantiamorphs can be made to look identical in shape to the other by viewing it in a mirror but not merely by changing its spatial orientation. Enantiamorphs figure prominently in the work of Kant, who argued that the existence of enantiamorphic pairs entailed that Leibnizian relational theories of space were to be rejected in favor of Newtonian absolutist theories, that some facts about space could be apprehended empiricism, constructive enantiamorphs 263 4065A-  AM  263 only by “pure intuition,” and that space was mind-dependent.  KANT, LEIBNIZ. R.Ke. encrateia.AKRASIA. Encyclopedia, in French, Encyclopédie; full English title: Encyclopedia, or a Descriptive Dictionary of the Sciences, Arts and Trades. Launched in 1747 by the Parisian publisher Le Breton, who had secured d’Alembert’s and Diderot’s editorship, the Encyclopedia was gradually released from 1751 to 1772, despite a temporary revocation of its royal privilege. Comprising seventeen folio volumes of 17,818 articles and eleven folio volumes of 2,885 plates, the work required a staff of 272 contributors, writers, and engravers. It incorporated the accumulated knowledge and rationalist, secularist views of the French Enlightenment and prescribed economic, social, and political reforms. Enormously successful, the work was reprinted with revisions five times before 1789. Contributions were made by the philosophes Voltaire, Rousseau, Montesquieu, d’Holbach, Naigeon, and Saint-Lambert; the writers Duclos and Marmontel; the theologians Morellet and Malet; enlightened clerics, e.g. Raynal; explorers, e.g. La Condamine; natural scientists, e.g. Daubenton; physicians, e.g. Bouillet; the economists Turgot and Quesnay; engineers, e.g. Perronet; horologists, e.g. Berthoud; and scores of other experts. “The purpose of an Encyclopedia,” wrote Diderot, “is to collect the knowledge dispersed on the surface of the earth, and to unfold its general system” (“Encyclopedia,” Vol. 5, 1755). The Encyclopedia offered the educated reader a comprehensive, systematic, and descriptive repository of contemporary liberal and mechanical arts. D’Alembert and Diderot developed a sensationalist epistemology (“Preliminary Discourse”) under the influence of Locke and Condillac. They compiled and rationally classified existing knowledge according to the noetic process (memory, imagination, and reason). Based on the assumption of the unity of theory and praxis, their approach was positivistic and utilitarian. The Encyclopedists vindicated experimental reason and the rule of nature, fostered the practice of criticism, and stimulated the development of new sciences. In religious matters, they cultivated ambiguity to escape censorship. Whereas most contributors held either conciliatory or orthodox positions, d’Alembert, Diderot, and d’Holbach barely concealed their naturalistic and atheistic opinions. Their radicalism was pervasive. Supernaturalism, obscurantism, and fanaticism were among the Encyclopedists’ favorite targets. They identified religion with superstition and theology with black magic; asserted the superiority of natural morality over theological ethics; demanded religious toleration; and championed human rights. They innovatively retraced the historical conditions of the development of modern philosophy. They furthermore pioneered ideas on trade and industry and anticipated the relevance of historiography, sociology, economics, and linguistics. As the most ambitious and expansive reference work of its time, the Encyclopedia crystallized the confidence of the eighteenth-century bourgeoisie in the capacity of reason to dispel the shadows of ignorance and improve society.  D’ALEMBERT, D’HOLBACH, DIDEROT, VOLTAIRE. J.-L.S. Encyclopedists.ENCYCLOPEDIA. end in itself.KANT. endurance.PERDURANCE. energeia, Greek term coined by Aristotle and often translated as ‘activity’, ‘actuality’, and even ‘act’, but more literally rendered ‘(a state of) functioning’. Since for Aristotle the function of an object is its telos or aim, energeia can also be described as an entelecheia or realization (another coined term he uses interchangeably with energeia). So understood, it can denote either (a) something’s being functional, though not in use at the moment, and (b) something’s actually functioning, which Aristotle describes as a “first realization” and “second realization” respectively (On the Soul II.5). In general, every energeia is correlative to some dunamis, a capability or power to function in a certain way, and in the central books of the Metaphysics Aristotle uses the linkage between these two concepts to explain the relation of form to matter. He also distinguishes between energeia and kinesis (change or motion) (Metaphysics IX.6; Nicomachean Ethics X.4). A kinesis is defined by reference to its terminus (e.g., learning how to multiply) and is thus incomplete at any point before reaching its conclusion. An energeia, in contrast, is a state complete in itself (e.g., seeing). Thus, Aristotle says that at any time that I am seeing, it is also true that I have seen; but it is not true that at any time I am learning that I have learned. In Greek, this difference is not so much one of tense as of encrateia energeia 264 4065A-  AM  264 aspect: the perfect tense marks a “perfect” or complete state, and not necessarily prior activity.  ARISTOTLE. V.C. energeticism, also called energetism or energism, the doctrine that energy is the fundamental substance underlying all change. Its most prominent champion was the physical chemist Wilhelm Ostwald (1853–1932). In his address “Die Überwindung des wissenschaftlichen Materialismus” (“The Conquest of Scientific Materialism”), delivered at Lübeck in 1895, Ostwald chastised the atomic-kinetic theory as lacking progress and claimed that a unified science, energetics, could be based solely on the concept of energy. Many of Ostwald’s criticisms of materialism and mechanistic reductionism derived from Mach. Ostwald’s attempts to deduce the fundamental equations of thermodynamics and mechanics from the principles of energy conservation and transformation were indebted to the writings of Georg Helm (1874–1919), especially Die Lehre von Energie (“The Laws of Energy,” 1887) and Die Energetik (“Energetics,” 1898). Ostwald defended Helm’s factorization thesis that all changes in energy can be analyzed as a product of intensity and capacity factors. The factorization thesis and the attempt to derive mechanics and thermodynamics from the principles of energetics were subjected to devastating criticisms by Boltzmann and Max Planck. Boltzmann also criticized the dogmatism of Ostwald’s rejection of the atomickinetic theory. Ostwald’s program to unify the sciences under the banner of energetics withered in the face of these criticisms.  BOLTZMANN, MACH, PHILOSOPHY OF SCIENCE. M.C. energetism, energism.ENERGETICISM. Engels, Friedrich (1820–95), German socialist and economist who, with Marx, was the founder of what later was called Marxism. Whether there are significant differences between Marx and Engels is a question much in dispute among scholars of Marxism. Certainly there are differences in emphasis, but there was also a division of labor between them. Engels, and not Marx, presented a Marxist account of natural science and integrated Darwinian elements in Marxian theory. But they also coauthored major works, including The Holy Family, The German Ideology (1845), and The Communist Manifesto (1848). Engels thought of himself as the junior partner in their lifelong collaboration. That judgment is correct, but Engels’s work is both significant and more accessible than Marx’s. He gave popular articulations of their common views in such books as Socialism: Utopian and Scientific and AntiDühring (1878). His work, more than Marx’s, was taken by the Second International and many subsequent Marxist militants to be definitive of Marxism. Only much later with some Western Marxist theoreticians did his influence decline. Engels’s first major work, The Condition of the Working Class in England (1845), vividly depicted workers’ lives, misery, and systematic exploitation. But he also saw the working class as a new force created by the industrial revolution, and he developed an account of how this new force would lead to the revolutionary transformation of society, including collective ownership and control of the means of production and a rational ordering of social life; all this would supersede the waste and disparity of human conditions that he took to be inescapable under capitalism. The German Ideology, jointly authored with Marx, first articulated what was later called historical materialism, a conception central to Marxist theory. It is the view that the economic structure of society is the foundation of society; as the productive forces develop, the economic structure changes and with that political, legal, moral, religious, and philosophical ideas change accordingly. Until the consolidation of socialism, societies are divided into antagonistic classes, a person’s class being determined by her relationship to the means of production. The dominant ideas of a society will be strongly conditioned by the economic structure of the society and serve the class interests of the dominant class. The social consciousness (the ruling ideology) will be that which answers to the interests of the dominant class. From the 1850s on, Engels took an increasing interest in connecting historical materialism with developments in natural science. This work took definitive form in his Anti-Dühring, the first general account of Marxism, and in his posthumously published Dialectics of Nature. (AntiDühring also contains his most extensive discussion of morality.) It was in these works that Engels articulated the dialectical method and a systematic communist worldview that sought to establish that there were not only social laws expressing empirical regularities in society but also universal laws of nature and thought. These dialectical laws, Engels believed, reveal that both nature and society are in a continuous process of evolutionary though conflict-laden development. Engels should not be considered primarily, if at all, a speculative philosopher. Like Marx, he was energeticism Engels, Friedrich 265 4065A-  AM  265 critical of and ironical about speculative philosophy and was a central figure in the socialist movement. While always concerned that his account be warrantedly assertible, Engels sought to make it not only true, but also a finely tuned instrument of working-class emancipation which would lead to a world without classes.  MARXISM, POLITICAL PHILOSOPHY. K.N. Enlightenment, a late eighteenth-century international movement in thought, with important social and political ramifications. The Enlightenment is at once a style, an attitude, a temper – critical, secular, skeptical, empirical, and practical. It is also characterized by core beliefs in human rationality, in what it took to be “nature,” and in the “natural feelings” of mankind. Four of its most prominent exemplars are Hume, Thomas Jefferson, Kant, and Voltaire. The Enlightenment belief in human rationality had several aspects. (1) Human beings are free to the extent that their actions are carried out for a reason. Actions prompted by traditional authority, whether religious or political, are therefore not free; liberation requires weakening if not also overthrow of this authority. (2) Human rationality is universal, requiring only education for its development. In virtue of their common rationality, all human beings have certain rights, among them the right to choose and shape their individual destinies. (3) A final aspect of the belief in human rationality was that the true forms of all things could be discovered, whether of the universe (Newton’s laws), of the mind (associationist psychology), of good government (the U.S. Constitution), of a happy life (which, like good government, was “balanced”), or of beautiful architecture (Palladio’s principles). The Enlightenment was preeminently a “formalist” age, and prose, not poetry, was its primary means of expression. The Enlightenment thought of itself as a return to the classical ideas of the Greeks and (more especially) the Romans. But in fact it provided one source of the revolutions that shook Europe and America at the end of the eighteenth century, and it laid the intellectual foundations for both the generally scientific worldview and the liberal democratic society, which, despite the many attacks made on them, continue to function as cultural ideals.  HUME, KANT, LIBERALISM, LOCKE, VOLTAIRE. G.G.B. ens a se (Latin,’a being from itself’), a being that is completely independent and self-sufficient. Since every creature depends at least upon God for its existence, only God could be ens a se. In fact, only God is, and he must be. For if God depended on any other being, he would be dependent and hence not self-sufficient. To the extent that the ontological argument is plausible, it depends on conceiving of God as ens a se. In other words, God as ens a se is the greatest conceivable being. The idea of ens a se is very important in the Monologion and Proslogion of Anselm, in various works of Duns Scotus, and later Scholastic thought. Ens a se should be distinguished from ens ex se, according to Anselm in Monologion. Ens a se is from itself and not “out of itself.” In other words, ens a se does not depend upon itself for its own existence, because it is supposed to be dependent on absolutely nothing. Further, if ens a se depended upon itself, it would cause itself to exist, and that is impossible, according to medieval and Scholastic philosophers, who took causality to be irreflexive. (It is also transitive and asymmetric.) Hence, the medieval idea of ens a se should not be confused with Spinoza’s idea of causa sui. Later Scholastics often coined abstract terms to designate the property or entity that makes something to be what it is, in analogy with forming, say, ‘rigidity’ from ‘rigid’. The Latin term ‘aseitas’ is formed from the prepositional phrase in ‘ens a se’ in this way; ‘aseitas’ is translated into English as ‘aseity’. A better-known example of forming an abstract noun from a concrete word is ‘haecceitas’ (thisness) from ‘haec’ (this).  ANSELM, DIVINE ATTRIBUTES, DUNS SCOTUS, PHILOSOPHY OF RELIGION. A.P.M. ens ex se.ENS A SE. en soi.SARTRE. ens per accidens.PER ACCIDENS. ens perfectissimo.ENS REALISSIMUM. ens rationis (Latin, ‘a being of reason’), a thing dependent for its existence upon reason or thought; sometimes known as an intentional being. Ens rationis is the contrasting term for a real being (res or ens in re extra animam), such as an individual animal. Real beings exist independently of thought and are the foundation for truth. A being of reason depends upon thought or reason for its existence and is an invention of Enlightenment ens rationis 266 4065A-  AM  266 the mind, even if it has a foundation in some real being. (This conception requires the idea that there are degrees of being.) Two kinds of entia rationis are distinguished: those with a foundation in reality and those without one. The objects of logic, which include genera and species, e.g., animal and human, respectively, are entia rationis that have a foundation in reality, but are abstracted from it. In contrast, mythic and fictional objects, such as a chimera or Pegasus, have no foundation in reality. Blindness and deafness are also sometimes called entia rationis.  AQUINAS, SUÁREZ. A.P.M. ens realissimum (Latin, ‘most real being’), an informal term for God that occurs rarely in Scholastic philosophers. Within Kant’s philosophy, it has a technical sense. It is an extension of Baumgarten’s idea of ens perfectissimum (most perfect being), a being that has the greatest number of possible perfections to the greatest degree. Since ens perfectissimum refers to God as the sum of all possibilities and since actuality is greater than possibility, according to Kant, the idea of God as the sum of all actualities, that is, ens realissimum, is a preferable term for God. Kant thinks that human knowledge is “constrained” to posit the idea of a necessary being. The necessary being that has the best claim to necessity is one that is completely unconditioned, that is, dependent on nothing; this is ens realissimum. He sometimes explicates it in three ways: as the substratum of all realities, as the ground of all realities, and as the sum of all realities. Ens realissimum is nonetheless empirically invalid, since it cannot be experienced by humans. It is something ideal for reason, not real in experience. According to Kant, the ontological argument begins with the concept of ens realissimum and concludes that an existing object falls under that concept (Critique of Pure Reason, Book II, chapter 3).  BAUMGARTEN, KANT. A.P.M. entailment.IMPLICATION. entelechy (from Greek entelecheia), actuality. Aristotle, who coined both terms, treats entelecheia as a near synonym of energeia when it is used in this sense. Entelecheia figures in Aristotle’s definition of the soul as the first actuality of the natural body (On the Soul II.1). This is explained by analogy with knowledge: first actuality is to knowledge as second actuality is to the active use of knowledge. ’Entelechy’ is also a technical term in Leibniz for the primitive active force in every monad, which is combined with primary matter, and from which the active force, vis viva, is somehow derived. The vitalist philosopher Hans Driesch used the Aristotelian term in his account of biology. Life, he held, is an entelechy; and an entelechy is a substantial entity, rather like a mind, that controls organic processes.  ENERGEIA, PHILOSOPHY OF BIOLOGY. P.Wo. enthymeme, an incompletely stated syllogism, with one premise, or even the conclusion, omitted. The term sometimes designates incompletely stated arguments of other kinds. We are expected to supply the missing premise or draw the conclusion if it is not stated. The result is supposed to be a syllogistic inference. For example: ‘He will eventually get caught, for he is a thief’; or ‘He will eventually be caught, for all habitual thieves get caught’. This notion of enthymeme as an incompletely stated syllogism has a long tradition and does not seem inconsistent with Aristotle’s own characterization of it. Thus, Peter of Spain openly declares that an enthymeme is an argument with a single premise that needs to be reduced to syllogism. But Peter also points out that Aristotle spoke of enthymeme as “being of ycos and signum,” and he explains that ycos here means ‘probable proposition’ while signum expresses the necessity of inference. ‘P, therefore Q’ is an ycos in the sense of a proposition that appears to be true to all or to many; but insofar as P has virtually a double power, that of itself and of the proposition understood along with it, it is both probable and demonstrative, albeit from a different point of view.  SYLLOGISM. I.Bo. entity, abstract.ABSTRACT ENTITY. entity, theoretical.THEORETICAL TERM. entrenchment.GOODMAN. entropy, in physics, a measure of disorder; in information theory, a measure of “information” in a technical sense. In statistical physics the number of microstates accessible to the various particles of a large system of particles such as a cabbage or the air in a room is represented as W. Accessible microstates might be, for instance, energy levels the various particles can reach. One can greatly simplify the ens realissimum entropy 267 4065A-  AM  267 statement of certain laws of nature by introducing a logarithmic measure of these accessible microstates. This measure, called entropy, is defined by the formula: S(Entropy) % df. k(lnW), where k is Boltzmann’s constant. When the entropy of a system increases, the system becomes more random and disordered, in the sense that a larger number of microstates become available for the system’s particles to enter. If a large physical system within which exchanges of energy occur is isolated, exchanging no energy with its environment, the entropy of the system tends to increase and never decreases. This result of statistical physics is part of the second law of thermodynamics. In real, evolving physical systems effectively isolated from their environments, entropy increases and thus aspects of the system’s organization that depend upon there being only a limited range of accessible microstates are altered. For example, a cabbage totally isolated in a container would decay as complicated organic molecules eventually became unstructured in the course of ongoing exchanges of energy and attendant entropy increases. In information theory, a state or event is said to contain more information than a second state or event if the former state is less probable and thus in a sense more surprising than the latter. Other plausible constraints suggest a logarithmic measure of information content. Suppose X is a set of alternative possible states, xi , and p(xi ) is the probability of each xi 1 X. If state xi has occurred the information content of that occurrence is taken to be -log2p(xi ). This function increases as the probability of xi decreases. If it is unknown which xi will occur, it is reasonable to represent the expected information content of X as the sum of the information contents of the alternative states xi weighted in each case by the probability of the state, giving: This is called the Shannon entropy. Both Shannon entropy and physical entropy can be thought of as logarithmic measures of disarray. But this statement trades on a broad understanding of ‘disarray’. A close relationship between the two concepts of entropy should not be assumed.  INFORMATION THEORY, PHILOSOPHY OF SCIENCE. T.H. envelope paradox, an apparent paradox in decision theory that runs as follows. You are shown two envelopes, M and N, and are reliably informed that each contains some finite positive amount of money, that the amount in one unspecified envelope is twice the amount in the unspecified other, and that you may choose only one. Call the amount in M ‘m’ and that in N ‘n’. It might seem that: there is a half chance that m % 2n and a half chance that m = n/2, so that the “expected value” of m is (½)(2n) ! (½)(n/2) % 1.25n, so that you should prefer envelope M. But by similar reasoning it might seem that the expected value of n is 1.25m, so that you should prefer envelope N.  DECISION THEORY. D.A.J. environmental ethics.ENVIRONMENTAL PHILOSOPHY. environmental philosophy, the critical study of concepts defining relations between human beings and their non-human environment. Environmental ethics, a major component of environmental philosophy, addresses the normative significance of these relations. The relevance of ecological relations to human affairs has been recognized at least since Darwin, but the growing sense of human responsibility for their deterioration, reflected in books such as Rachel Carson’s Silent Spring (1962) and Peter Singer’s Animal Liberation (1975), has prompted the recent upsurge of interest. Environmental philosophers have adduced a wide variety of human attitudes and practices to account for the perceived deterioration, including religious and scientific attitudes, social institutions, and industrial technology. Proposed remedies typically urge a reorientation or new “ethic” that recognizes “intrinsic value” in the natural world. Examples include the “land ethic” of Aldo Leopold (1887–1948), which pictures humans as belonging to, rather than owning, the biotic community (“the land”); deep ecology, a stance articulated by the Norwegian philosopher Arne Naess (b.1912), which advocates forms of identification with the non-human world; and ecofeminism, which rejects prevailing attitudes to the natural world that are perceived as patriarchal. At the heart of environmental ethics lies the attempt to articulate the basis of concern for the natural world. It encompasses global as well as local issues, and considers the longer-term ecological, and even evolutionary, fate of the human and non-human world. Many of its practitioners question the anthropocentric claim that human beings are the exclusive or even central focus of envelope paradox environmental philosophy 268 4065A-  AM  268 ethical concern. In thus extending both the scope and the grounds of concern, it presents a challenge to the stance of conventional interhuman ethics. It debates how to balance the claims of present and future, human and non-human, sentient and non-sentient, individuals and wholes. It investigates the prospects for a sustainable relationship between economic and ecological systems, and pursues the implications of this relationship with respect to social justice and political institutions. Besides also engaging metaethical questions about, for example, the objectivity and commensurability of values, environmental philosophers are led to consider the nature and significance of environmental change and the ontological status of collective entities such as species and ecosystems. In a more traditional vein, environmental philosophy revives metaphysical debates surrounding the perennial question of “man’s place in nature,” and finds both precedent and inspiration in earlier philosophies and cultures.  APPLIED ETHICS, ETHICS, FEMINISM, NATURALISM, VALUE. A.Ho. epapoge, Greek term for ‘induction’. Especially in the logic of Aristotle, epagoge is opposed to argument by syllogism. Aristotle describes it as “a move from particulars to the universal.” E.g., premises that the skilled navigator is the best navigator, the skilled charioteer the best charioteer, and the skilled philosopher the best philosopher may support the conclusion by epagoge that those skilled in something are usually the best at it. Aristotle thought it more persuasive and clearer than the syllogistic method, since it relies on the senses and is available to all humans. The term was later applied to dialectical arguments intended to trap opponents. R.C. epicheirema, a polysyllogism in which each premise represents an enthymematic argument; e.g., ‘A lie creates disbelief, because it is an assertion that does not correspond to truth; flattery is a lie, because it is a conscious distortion of truth; therefore, flattery creates disbelief’. Each premise constitutes an enthymematic syllogism. Thus, the first premise could be expanded into the following full-fledged syllogism: ‘Every assertion that does not correspond to truth creates disbelief; a lie is an assertion that does not correspond to truth; therefore a lie creates disbelief’. We could likewise expand the second premise and offer a complete argument for it. Epicheirema can thus be a powerful tool in oral polemics, especially when one argues regressively, first stating the conclusion with a sketch of support in terms of enthymemes, and then – if challenged to do so – expanding any or all of these enthymemes into standard categorical syllogisms.  SYLLOGISM. I.Bo. Epictetus.STOICISM. Epicureanism, one of the three leading movements constituting Hellenistic philosophy. It was founded by Epicurus (341–271 B.C.), together with his close colleagues Metrodorus (c.331– 278), Hermarchus (Epicurus’s successor as head of the Athenian school), and Polyaenus (d. 278). He set up Epicurean communities at Mytilene, Lampsacus, and finally Athens (306 B.C.), where his school the Garden became synonymous with Epicureanism. These groups set out to live the ideal Epicurean life, detached from political society without actively opposing it, and devoting themselves to philosophical discussion and the cult of friendship. Their correspondence was anthologized and studied as a model of the philosophical life by later Epicureans, for whom the writings of Epicurus and his three cofounders, known collectively as “the Men,” held a virtually biblical status. Epicurus wrote voluminously, but all that survives are three brief epitomes (the Letter to Herodotus on physics, the Letter to Pythocles on astronomy, etc., and the Letter to Menoeceus on ethics), a group of maxims, and papyrus fragments of his magnum opus On Nature. Otherwise, we are almost entirely dependent on secondary citations, doxography, and the writings of his later followers. The Epicurean physical theory is atomistic, developed out of the fifth-century system of Democritus. Per se existents are divided into bodies and space, each of them infinite in quantity. Space is, or includes, absolute void, without which motion would be impossible, while body is constituted out of physically indivisible particles, “atoms.” Atoms are themselves further analyzable as sets of absolute “minima,” the ultimate quanta of magnitude, posited by Epicurus to circumvent the paradoxes that Zeno of Elea had derived from the hypothesis of infinite divisibility. Atoms themselves have only the primary properties of shape, size, and weight. All secondary properties, e.g. color, are generated out of atomic compounds; given their dependent status, they cannot be added to the list of per se existents, but it does not follow, as the skeptical tradition in atomism had held, that they are not real either. Atoms are in constant rapid motion, epapoge Epicureanism 269 4065A-  AM  269 at equal speed (since in the pure void there is nothing to slow them down). Stability emerges as an overall property of compounds, which large groups of atoms form by settling into regular patterns of complex motion, governed by the three motive principles of weight, collisions, and a minimal random movement, the “swerve,” which initiates new patterns of motion and blocks the danger of determinism. Our world itself, like the countless other worlds, is such a compound, accidentally generated and of finite duration. There is no divine mind behind it, or behind the evolution of life and society: the gods are to be viewed as ideal beings, models of the Epicurean good life, and therefore blissfully detached from our affairs. Canonic, the Epicurean theory of knowledge, rests on the principle that “all sensations are true.” Denial of empirical cognition is argued to amount to skepticism, which is in turn rejected as a self-refuting position. Sensations are representationally (not propositionally) true. In the paradigm case of sight, thin films of atoms (Greek eidola, Latin simulacra) constantly flood off bodies, and our eyes mechanically report those that reach them, neither embroidering nor interpreting. Inference from these guaranteed (photographic, as it were) data to the nature of external objects themselves involves judgment, and there alone error can occur. Sensations thus constitute one of the three “criteria of truth,” along with feelings, a criterion of values and introspective information, and prolepseis, or naturally acquired generic conceptions. On the basis of sense evidence, we are entitled to infer the nature of microscopic or remote phenomena. Celestial phenomena, e.g., cannot be regarded as divinely engineered (which would conflict with the prolepsis of the gods as tranquil), and experience supplies plenty of models that would account for them naturalistically. Such grounds amount to consistency with directly observed phenomena, and are called ouk antimarturesis (“lack of counterevidence”). Paradoxically, when several alternative explanations of the same phenomenon pass this test, all must be accepted: although only one of them can be true for each token phenomenon, the others, given their intrinsic possibility and the spatial and temporal infinity of the universe, must be true for tokens of the same type elsewhere. Fortunately, when it comes to the basic tenets of physics, it is held that only one theory passes this test of consistency with phenomena. Epicurean ethics is hedonistic. Pleasure is our innate natural goal, to which all other values, including virtue, are subordinated. Pain is the only evil, and there is no intermediate state. Philosophy’s task is to show how pleasure can be maximized, as follows: Bodily pleasure becomes more secure if we adopt a simple way of life that satisfies only our natural and necessary desires, with the support of like-minded friends. Bodily pain, when inevitable, can be outweighed by mental pleasure, which exceeds it because it can range over past, present, and future. The highest pleasure, whether of soul or body, is a satisfied state, “katastematic pleasure.” The pleasures of stimulation (“kinetic pleasures”), including those resulting from luxuries, can vary this state, but have no incremental value: striving to accumulate them does not increase overall pleasure, but does increase our vulnerability to fortune. Our primary aim should instead be to minimize pain. This is achieved for the body through a simple way of life, and for the soul through the study of physics, which achieves the ultimate katastematic pleasure, ”freedom from disturbance” (ataraxia), by eliminating the two main sources of human anguish, the fears of the gods and of death. It teaches us (a) that cosmic phenomena do not convey divine threats, (b) that death is mere disintegration of the soul, with hell an illusion. To fear our own future non-existence is as irrational as to regret the non-existence we enjoyed before we were born. Physics also teaches us how to evade determinism, which would turn moral agents into mindless fatalists: the swerve doctrine secures indeterminism, as does the logical doctrine that future-tensed propositions may be neither true nor false. The Epicureans were the first explicit defenders of free will, although we lack the details of their positive explanation of it. Finally, although Epicurean groups sought to opt out of public life, they took a keen and respectful interest in civic justice, which they analyzed not as an absolute value, but as a contract between humans to refrain from harmful activity on grounds of utility, perpetually subject to revision in the light of changing circumstances. Epicureanism enjoyed widespread popularity, but unlike its great rival Stoicism it never entered the intellectual bloodstream of the ancient world. Its stances were dismissed by many as philistine, especially its rejection of all cultural activities not geared to the Epicurean good life. It was also increasingly viewed as atheistic, and its ascetic hedonism was misrepresented as crude sensualism (hence the modern use of ‘epicure’). The school nevertheless continued to flourish down to and well beyond the end of the Hellenistic age. In the first century B.C. its exponents Epicureanism Epicureanism 270 4065A-  AM  270 included Philodemus, whose fragmentarily surviving treatise On Signs attests to sophisticated debates on induction between Stoics and Epicureans, and Lucretius, the Roman author of the great Epicurean didactic poem On the Nature of Things. In the second century A.D. another Epicurean, Diogenes of Oenoanda, had his philosophical writings engraved on stone in a public colonnade, and passages have survived. Thereafter Epicureanism’s prominence declined. Serious interest in it was revived by Renaissance humanists, and its atomism was an important influence on early modern physics, especially through Gassendi.  DOXOGRAPHERS, HELLENISTIC PHILOSOPHY. D.N.S. Epicurus.EPICUREANISM. Epimenides paradox.SEMANTIC PARADOXES. epiphenomenalism.PHILOSOPHY OF MIND. episodic.DISPOSITION. episteme.ARISTOTLE. epistemic.PERCEPTION. epistemic accessibility.EPISTEMOLOGY. epistemic certainty.CERTAINTY. epistemic deontologism, a duty-based view of the nature of epistemic justification. A central concern of epistemology is to account for the distinction between justified and unjustified beliefs. According to epistemic deontologism, the concept of justification may be analyzed by using, in a specific sense relevant to the pursuit of knowledge, terms such as ‘ought’, ‘obligatory’, ‘permissible’, and ‘forbidden’. A subject S is justified in believing that p provided S does not violate any epistemic obligations – those that arise from the goal of believing what is true and not believing what is false. Equivalently, S is justified in believing that p provided believing p is – from the point of view taken in the pursuit of truth – permissible for S. Among contemporary epistemologists, this view is held by Chisholm, Laurence BonJour, and Carl Ginet. Its significance is twofold. If justification is a function of meeting obligations, then it is, contrary to some versions of naturalistic epistemology, normative. Second, if the normativity of justification is deontological, the factors that determine whether a belief is justified must be internal to the subject’s mind. Critics of epistemic deontologism, most conspicuously Alston, contend that belief is involuntary and thus cannot be a proper object of obligations. If, e.g., one is looking out the window and notices that it is raining, one is psychologically forced to believe that it is raining. Deontologists can reply to this objection by rejecting its underlying premise: epistemic obligations require that belief be voluntary. Alternatively, they may insist that belief is voluntary after all, and thus subject to epistemic obligations, for there is a means by which one can avoid believing what one ought not to believe: weighing the evidence, or deliberation.  EPISTEMOLOGY, JUSTIFICATION. M.St. epistemic dependence.DEPENDENCE. epistemic holism.HOLISM. epistemic immediacy.IMMEDIACY. epistemic justification.EPISTEMOLOGY. epistemic logic, the logical investigation of epistemic concepts and statements. Epistemic concepts include the concepts of knowledge, reasonable belief, justification, evidence, certainty, and related notions. Epistemic logic is usually taken to include the logic of belief or doxastic logic. Much of the recent work on epistemic logic is based on the view that it is a branch of modal logic. In the early 1950s von Wright observed that the epistemic notions verified (known to be true), undecided, and falsified are related to each other in the same way as the alethic modalities necessary, contingent, and impossible, and behave logically in analogous ways. This analogy is not surprising in view of the fact that the meaning of modal concepts is often explained epistemically. For example, in the 1890s Peirce defined informational possibility as that “which in a given (state of) information is not perfectly known not to be true,” and called informationally necessary “that which is perfectly known to be true.” The modal logic of epistemic and doxastic concepts was studied systematically by Hintikka in his pioneering Knowledge and Belief(1962), which applied to the concepts of knowledge and belief the semantical method (the method of modal sets) that he had used earlier for the investigation of modal logic. In this approach, the truth of the proposition that a knows that p (briefly Kap) in a possible world (or situation) u is taken to mean that p holds in all epistemic alternatives of Epicurus epistemic logic 271 4065A-  AM  271 u; these are understood as worlds compatible with what a knows at u. If the relation of epistemic alternativeness is reflexive, the principle ‘KapPp’ (only what is the case can be known) is valid, and the assumption that the alternativeness relation is transitive validates the so-called KK-thesis, ‘Kap P Ka Ka p’ (if a knows that p, a knows that a knows that p); these two assumptions together make the logic of knowledge similar to an S4-type modal logic. If the knowledge operator Ka and the corresponding epistemic possibility operator Pa are added to quantification theory with identity, it becomes possible to study the interplay between quantifiers and epistemic operators and the behavior of individual terms in epistemic contexts, and analyze such locutions as ‘a knows who (what) b (some F) is’. The problems of epistemic logic in this area are part of the general problem of giving a coherent semantical account of propositional attitudes. If a proposition p is true in all epistemic alternatives of a given world, so are all logical consequences of p; thus the possible-worlds semantics of epistemic concepts outlined above leads to the result that a person knows all logical consequences of what he knows. This is a paradoxical conclusion; it is called the problem of logical omniscience. The solution of this problem requires a distinction between different levels of knowledge – for example, between tacit and explicit knowledge. A more realistic model of knowledge can be obtained by supplementing the basic possible-worlds account by an analysis of the processes by which the implicit knowledge can be activated and made explicit. Modal epistemic logics have found fruitful applications in the recent work on knowledge representation and in the logic and semantics of questions and answers in which questions are interpreted as requests for knowledge or “epistemic imperatives.”  EPISTEMOLOGY, KK-THESIS, MODAL LOGIC. R.Hi. epistemic operator.OPERATOR. epistemic permissibility.EPISTEMOLOGY. epistemic possibility.EPISTEMIC LOGIC. epistemic principle, a principle of rationality applicable to such concepts as knowledge, justification, and reasonable belief. Epistemic principles include the principles of epistemic logic and principles that relate different epistemic concepts to one another, or epistemic concepts to nonepistemic ones (e.g., semantic concepts). Epistemic concepts include the concepts of knowledge, reasonable belief, justification, (epistemic) probability, and other concepts that are used for the purpose of assessing the reasonableness of beliefs and knowledge claims. Epistemic principles can be formulated as principles concerning belief systems or information systems, i.e., systems that characterize a person’s possible doxastic state at a given time; a belief system may be construed as a set of (accepted) propositions or as a system of degrees of belief. It is possible to distinguish two kinds of epistemic principles: (a) principles concerning the rationality of a single belief system, and (b) principles concerning the rational changes of belief. The former include the requirements of coherence and consistency for beliefs (and for probabilities); such principles may be said to concern the statics of belief systems. The latter principles include various principles of belief revision and adjustment, i.e., principles concerning the dynamics of belief systems.  CLOSURE, KK-THESIS. R.Hi. epistemic priority.DEPENDENCE. epistemic privacy, the relation a person has to a proposition when only that person can have direct or non-inferential knowledge of the proposition. It is widely thought that people have epistemic privacy with respect to propositions about certain of their own mental states. According to this view, a person can know directly that he has certain thoughts or feelings or sensory experiences. Perhaps others can also know that the person has these thoughts, feelings, or experiences, but if they can it is only as a result of inference from propositions about the person’s behavior or physical condition.  INFERENTIAL KNOWLEDGE, PRIVILEGED ACCESS. R.Fe. epistemic probability.PROBABILITY. epistemic rationality.IRRATIONALITY. epistemic regress argument, an argument, originating in Aristotle’s Posterior Analytics, aiming to show that knowledge and epistemic justification have a two-tier structure as described by epistemic foundationalism. It lends itself to the following outline regarding justification. If you have any justified belief, this belief occurs in an evidential chain including at least two links: the supporting link (i.e., the evidence) and the supported link (i.e., the justified belief). This does epistemic operator epistemic regress argument 272 4065A-  AM  272 not mean, however, that all evidence consists of beliefs. Evidential chains might come in any of four kinds: circular chains, endless chains, chains ending in unjustified beliefs, and chains anchored in foundational beliefs that do not derive their justification from other beliefs. Only the fourth, foundationalist kind is defensible as grounding knowledge and epistemic justification. Could all justification be inferential? A belief, B1, is inferentially justified when it owes its justification, at least in part, to some other belief, B2. Whence the justification for B2? If B2 owes its justification to B1, we have a troublesome circle. How can B2 yield justification (or evidence) for B1, if B2 owes its evidential status to B1? On the other hand, if B2 owes its justification to another belief, B3, and B3 owes its justification to yet another belief, B4, and so on ad infinitum, we have a troublesome endless regress of justification. Such a regress seems to deliver not actual justification, but at best merely potential justification, for the belief at its head. Actual finite humans, furthermore, seem not to be able to comprehend, or to possess, all the steps of an infinite regress of justification. Finally, if B2 is itself unjustified, it evidently will be unable to provide justification for B1. It seems, then, that the structure of inferential justification does not consist of either circular justification, endless regresses of justification, or unjustified starter-beliefs. We have foundationalism, then, as the most viable account of evidential chains, so long as we understand it as the structural view that some beliefs are justified non-inferentially (i.e., without deriving justification from other beliefs), but can nonetheless provide justification for other beliefs. More precisely, if we have any justified beliefs, we have some foundational, non-inferentially justified beliefs. This regress argument needs some refinement before its full force can be appreciated. With suitable refinement, however, it can seriously challenge such alternatives to foundationalism as coherentism and contextualism. The regress argument has been a key motivation for foundationalism in the history of epistemology.  COHERENTISM, EPISTEMOLOGY, FOUNDATIONALISM. P.K.M. epistemics.GOLDMAN. epistemic virtue.VIRTUE EPISTEMOLOGY. epistemology (from Greek episteme, ‘knowledge’, and logos, ‘explanation’), the study of the nature of knowledge and justification; specifically, the study of (a) the defining features, (b) the substantive conditions or sources, and (c) the limits of knowledge and justification. The latter three categories are represented by traditional philosophical controversy over the analysis of knowledge and justification, the sources of knowledge and justification (e.g., rationalism versus empiricism), and the viability of skepticism about knowledge and justification. Kinds of knowledge. Knowledge can be either explicit or tacit. Explicit knowledge is self-conscious in that the knower is aware of the relevant state of knowledge, whereas tacit knowledge is implicit, hidden from self-consciousness. Much of our knowledge is tacit: it is genuine but we are unaware of the relevant states of knowledge, even if we can achieve awareness upon suitable reflection. In this regard, knowledge resembles many of our psychological states. The existence of a psychological state in a person does not require the person’s awareness of that state, although it may require the person’s awareness of an object of that state (such as what is sensed or perceived). Philosophers have identified various species of knowledge: for example, propositional knowledge (that something is so), non-propositional knowledge of something (e.g., knowledge by acquaintance, or by direct awareness), empirical (a posteriori) propositional knowledge, nonempirical (a priori) propositional knowledge, and knowledge of how to do something. Philosophical controversy has arisen over distinctions between such species, for example, over (i) the relations between some of these species (e.g., does knowing-how reduce to knowledge-that?), and (ii) the viability of some of these species (e.g., is there really such a thing as, or even a coherent notion of, a priori knowledge?). A primary concern of classical modern philosophy, in the seventeenth and eighteenth centuries, was the extent of our a priori knowledge relative to the extent of our a posteriori knowledge. Such rationalists as Descartes, Leibniz, and Spinoza contended that all genuine knowledge of the real world is a priori, whereas such empiricists as Locke, Berkeley, and Hume argued that all such knowledge is a posteriori. In his Critique of Pure Reason (1781), Kant sought a grand reconciliation, aiming to preserve the key lessons of both rationalism and empiricism. Since the seventeenth and eighteenth centuries, a posteriori knowledge has been widely regarded as knowledge that depends for its supepistemics epistemology 273 4065A-  AM  273 porting ground on some specific sensory or perceptual experience; and a priori knowledge has been widely regarded as knowledge that does not depend for its supporting ground on such experience. Kant and others have held that the supporting ground for a priori knowledge comes solely from purely intellectual processes called “pure reason” or “pure understanding.” Knowledge of logical and mathematical truths typically serves as a standard case of a priori knowledge, whereas knowledge of the existence or presence of physical objects typically serves as a standard case of a posteriori knowledge. A major task for an account of a priori knowledge is the explanation of what the relevant purely intellectual processes are, and of how they contribute to non-empirical knowledge. An analogous task for an account of a posteriori knowledge is the explanation of what sensory or perceptual experience is and how it contributes to empirical knowledge. More fundamentally, epistemologists have sought an account of propositional knowledge in general, i.e., an account of what is common to a priori and a posteriori knowledge. Ever since Plato’s Meno and Theaetetus (c.400 B.C.), epistemologists have tried to identify the essential, defining components of knowledge. Identifying these components will yield an analysis of knowledge. A prominent traditional view, suggested by Plato and Kant among others, is that propositional knowledge (that something is so) has three individually necessary and jointly sufficient components: justification, truth, and belief. On this view, propositional knowledge is, by definition, justified true belief. This is the tripartite definition that has come to be called the standard analysis. We can clarify it by attending briefly to each of its three conditions. The belief condition. This requires that anyone who knows that p (where ‘p’ stands for any proposition or statement) must believe that p. If, therefore, you do not believe that minds are brains (say, because you have not considered the matter at all), then you do not know that minds are brains. A knower must be psychologically related somehow to a proposition that is an object of knowledge for that knower. Proponents of the standard analysis hold that only belief can provide the needed psychological relation. Philosophers do not share a uniform account of belief, but some considerations supply common ground. Beliefs are not actions of assenting to a proposition; they rather are dispositional psychological states that can exist even when unmanifested. (You do not cease believing that 2 ! 2 % 4, for example, whenever your attention leaves arithmetic.) Our believing that p seems to require that we have a tendency to assent to p in certain situations, but it seems also to be more than just such a tendency. What else believing requires remains highly controversial among philosophers. Some philosophers have opposed the belief condition of the standard analysis on the ground that we can accept, or assent to, a known proposition without actually believing it. They contend that we can accept a proposition even if we fail to acquire a tendency, required by believing, to accept that proposition in certain situations. On this view, acceptance is a psychological act that does not entail any dispositional psychological state, and such acceptance is sufficient to relate a knower psychologically to a known proposition. However this view fares, one underlying assumption of the standard analysis seems correct: our concept of knowledge requires that a knower be psychologically related somehow to a known proposition. Barring that requirement, we shall be hard put to explain how knowers psychologically possess their knowledge of known propositions. Even if knowledge requires belief, belief that p does not require knowledge that p, since belief can typically be false. This observation, familiar from Plato’s Theaetetus, assumes that knowledge has a truth condition. On the standard analysis, if you know that p, then it is true that p. If, therefore, it is false that minds are brains, then you do not know that minds are brains. It is thus misleading to say, e.g., that astronomers before Copernicus knew that the earth is flat; at best, they justifiably believed that they knew this. The truth condition. This condition of the standard analysis has not attracted any serious challenge. Controversy over it has focused instead on Pilate’s vexing question: What is truth? This question concerns what truth consists in, not our ways of finding out what is true. Influential answers come from at least three approaches: truth as correspondence (i.e., agreement, of some specified sort, between a proposition and an actual situation); truth as coherence (i.e., interconnectedness of a proposition with a specified system of propositions); and truth as pragmatic cognitive value (i.e., usefulness of a proposition in achieving certain intellectual goals). Without assessing these prominent approaches, we should recognize, in accord with the standard analysis, that our concept of knowledge seems to have a factual requirement: we epistemology epistemology 274 4065A-  AM  274 genuinely know that p only if it is the case that p. The pertinent notion of “its being the case” seems equivalent to the notion of “how reality is” or “how things really are.” The latter notion seems essential to our notion of knowledge, but is open to controversy over its explication. The justification condition. Knowledge is not simply true belief. Some true beliefs are supported only by lucky guesswork and hence do not qualify as knowledge. Knowledge requires that the satisfaction of its belief condition be “appropriately related” to the satisfaction of its truth condition. This is one broad way of understanding the justification condition of the standard analysis. More specifically, we might say that a knower must have adequate indication that a known proposition is true. If we understand such adequate indication as a sort of evidence indicating that a proposition is true, we have reached the traditional general view of the justification condition: justification as evidence. Questions about justification attract the lion’s share of attention in contemporary epistemology. Controversy focuses on the meaning of ‘justification’ as well as on the substantive conditions for a belief’s being justified in a way appropriate to knowledge. Current debates about the meaning of ‘justification’ revolve around the question whether, and if so how, the concept of epistemic (knowledge-relevant) justification is normative. Since the 1950s Chisholm has defended the following deontological (obligation-oriented) notion of justification: the claim that a proposition, p, is epistemically justified for you means that it is false that you ought to refrain from accepting p. In other terms, to say that p is epistemically justified is to say that accepting p is epistemically permissible – at least in the sense that accepting p is consistent with a certain set of epistemic rules. This deontological construal enjoys wide representation in contemporary epistemology. A normative construal of justification need not be deontological; it need not use the notions of obligation and permission. Alston, for instance, has introduced a non-deontological normative concept of justification that relies mainly on the notion of what is epistemically good from the viewpoint of maximizing truth and minimizing falsity. Alston links epistemic goodness to a belief’s being based on adequate grounds in the absence of overriding reasons to the contrary. Some epistemologists shun normative construals of justification as superfluous. One noteworthy view is that ‘epistemic justification’ means simply ‘evidential support’ of a certain sort. To say that p is epistemically justifiable to some extent for you is, on this view, just to say that p is supportable to some extent by your overall evidential reasons. This construal will be non-normative so long as the notions of supportability and an evidential reason are nonnormative. Some philosophers have tried to explicate the latter notions without relying on talk of epistemic permissibility or epistemic goodness. We can understand the relevant notion of “support” in terms of non-normative notions of entailment and explanation (or, answering why-questions). We can understand the notion of an “evidential reason” via the notion of a psychological state that can stand in a certain truth-indicating support relation to propositions. For instance, we might regard nondoxastic states of “seeming to perceive” something (e.g., seeming to see a dictionary here) as foundational truth indicators for certain physical-object propositions (e.g., the proposition that there is a dictionary here), in virtue of those states being best explained by those propositions. If anything resembling this approach succeeds, we can get by without the aforementioned normative notions of epistemic justification. Foundationalism versus coherentism. Talk of foundational truth indicators brings us to a key controversy over justification: Does epistemic justification, and thus knowledge, have foundations, and if so, in what sense? This question can be clarified as the issue whether some beliefs can not only (a) have their epistemic justification non-inferentially (i.e., apart from evidential support from any other beliefs), but also (b) provide epistemic justification for all justified beliefs that lack such non-inferential justification. Foundationalism gives an affirmative answer to this issue, and is represented in varying ways by, e.g., Aristotle, Descartes, Russell, C. I. Lewis, and Chisholm. Foundationalists do not share a uniform account of non-inferential justification. Some construe non-inferential justification as self-justification. Others reject literal self-justification for beliefs, and argue that foundational beliefs have their non-inferential justification in virtue of evidential support from the deliverances of non-belief psychological states, e.g., perception (“seem-ing-to-perceive” states), sensation (“seeming-to-sense” states), or memory (“seeming-toremember” states). Still others understand noninferential justification in terms of a belief’s being “reliably produced,” i.e., caused and sustained by epistemology epistemology 275 4065A-  AM  275 some non-belief belief-producing process or source (e.g., perception, memory, introspection) that tends to produce true rather than false beliefs. This last view takes the causal source of a belief to be crucial to its justification. Unlike Descartes, contemporary foundationalists clearly separate claims to non-inferential, foundational justification from claims to certainty. They typically settle for a modest foundationalism implying that foundational beliefs need not be indubitable or infallible. This contrasts with the radical foundationalism of Descartes. The traditional competitor to foundationalism is the coherence theory of justification, i.e., epistemic coherentism. This is not the coherence definition of truth; it rather is the view that the justification of any belief depends on that belief’s having evidential support from some other belief via coherence relations such as entailment or explanatory relations. Notable proponents include Hegel, Bosanquet, and Sellars. A prominent contemporary version of epistemic coherentism states that evidential coherence relations among beliefs are typically explanatory relations. The rough idea is that a belief is justified for you so long as it either best explains, or is best explained by, some member of the system of beliefs that has maximal explanatory power for you. Contemporary coherentism is uniformly systemic or holistic; it finds the ultimate source of justification in a system of interconnected beliefs or potential beliefs. One problem has troubled all versions of coherentism that aim to explain empirical justification: the isolation argument. According to this argument, coherentism entails that you can be epistemically justified in accepting an empirical proposition that is incompatible with, or at least improbable given, your total empirical evidence. The key assumption of this argument is that your total empirical evidence includes non-belief sensory and perceptual awareness-states, such as your feeling pain or your seeming to see something. These are not belief-states. Epistemic coherentism, by definition, makes justification a function solely of coherence relations between propositions, such as propositions one believes or accepts. Thus, such coherentism seems to isolate justification from the evidential import of non-belief awareness-states. Coherentists have tried to handle this problem, but no resolution enjoys wide acceptance. Causal and contextualist theories. Some contemporary epistemologists endorse contextualism regarding epistemic justification, a view suggested by Dewey, Wittgenstein, and Kuhn, among others. On this view, all justified beliefs depend for their evidential support on some unjustified beliefs that need no justification. In any context of inquiry, people simply assume (the acceptability of) some propositions as starting points for inquiry, and these “contextually basic” propositions, though lacking evidential support, can serve as evidential support for other propositions. Contextualists stress that contextually basic propositions can vary from context to context (e.g., from theological inquiry to biological inquiry) and from social group to social group. The main problem for contextualists comes from their view that unjustified assumptions can provide epistemic justification for other propositions. We need a precise explanation of how an unjustified assumption can yield evidential support, how a non-probable belief can make another belief probable. Contextualists have not given a uniform explanation here. Recently some epistemologists have recommended that we give up the traditional evidence condition for knowledge. They recommend that we construe the justification condition as a causal condition. Roughly, the idea is that you know that p if and only if (a) you believe that p, (b) p is true, and (c) your believing that p is causally produced and sustained by the fact that makes p true. This is the basis of the causal theory of knowing, which comes with varying details. Any such causal theory faces serious problems from our knowledge of universal propositions. Evidently, we know, for instance, that all dictionaries are produced by people, but our believing that this is so seems not to be causally supported by the fact that all dictionaries are humanly produced. It is not clear that the latter fact causally produces any beliefs. Another problem is that causal theories typically neglect what seems to be crucial to any account of the justification condition: the requirement that justificational support for a belief be accessible, in some sense, to the believer. The rough idea is that one must be able to access, or bring to awareness, the justification underlying one’s beliefs. The causal origins of a belief are, of course, often very complex and inaccessible to a believer. Causal theories thus face problems from an accessibility requirement on justification. Internalism regarding justification preserves an accessibility requirement on what confers justification, whereas epistemic externalism rejects this requirement. Debates over internalism and exepistemology epistemology 276 4065A-  AM  276 ternalism abound in current epistemology, but internalists do not yet share a uniform detailed account of accessibility. The Gettier problem. The standard analysis of knowledge, however elaborated, faces a devastating challenge that initially gave rise to causal theories of knowledge: the Gettier problem. In 1963 Edmund Gettier published a highly influential challenge to the view that if you have a justified true belief that p, then you know that p. Here is one of Gettier’s counterexamples to this view: Smith is justified in believing the false proposition that (i) Jones owns a Ford. On the basis of (i), Smith infers, and thus is justified in believing, that (ii) either Jones owns a Ford or Brown is in Barcelona. As it happens, Brown is in Barcelona, and so (ii) is true. So, although Smith is justified in believing the true proposition (ii), Smith does not know (ii). Gettier-style counterexamples are cases where a person has justified true belief that p but lacks knowledge that p. The Gettier problem is the problem of finding a modification of, or an alternative to, the standard analysis that avoids difficulties from Gettier-style counterexamples. The controversy over the Gettier problem is highly complex and still unsettled. Many epistemologists take the lesson of Gettier-style counterexamples to be that propositional knowledge requires a fourth condition, beyond the justification, truth, and belief conditions. No specific fourth condition has received overwhelming acceptance, but some proposals have become prominent. The so-called defeasibility condition, e.g., requires that the justification appropriate to knowledge be “undefeated” in the general sense that some appropriate subjunctive conditional concerning defeaters of justification be true of that justification. For instance, one simple defeasibility fourth condition requires of Smith’s knowing that p that there be no true proposition, q, such that if q became justified for Smith, p would no longer be justified for Smith. So if Smith knows, on the basis of his visual perception, that Mary removed books from the library, then Smith’s coming to believe the true proposition that Mary’s identical twin removed books from the library would not undermine the justification for Smith’s belief concerning Mary herself. A different approach shuns subjunctive conditionals of that sort, and contends that propositional knowledge requires justified true belief that is sustained by the collective totality of actual truths. This approach requires a detailed account of when justification is undermined and restored. The Gettier problem is epistemologically important. One branch of epistemology seeks a precise understanding of the nature (e.g., the essential components) of propositional knowledge. Our having a precise understanding of propositional knowledge requires our having a Gettier-proof analysis of such knowledge. Epistemologists thus need a defensible solution to the Gettier problem, however complex that solution is. Skepticism. Epistemologists debate the limits, or scope, of knowledge. The more restricted we take the limits of knowledge to be, the more skeptical we are. Two influential types of skepticism are knowledge skepticism and justification skepticism. Unrestricted knowledge skepticism implies that no one knows anything, whereas unrestricted justification skepticism implies the more extreme view that no one is even justified in believing anything. Some forms of skepticism are stronger than others. Knowledge skepticism in its strongest form implies that it is impossible for anyone to know anything. A weaker form would deny the actuality of our having knowledge, but leave open its possibility. Many skeptics have restricted their skepticism to a particular domain of supposed knowledge: e.g., knowledge of the external world, knowledge of other minds, knowledge of the past or the future, or knowledge of unperceived items. Such limited skepticism is more common than unrestricted skepticism in the history of epistemology. Arguments supporting skepticism come in many forms. One of the most difficult is the problem of the criterion, a version of which has been stated by the sixteenth-century skeptic Montaigne: “To adjudicate [between the true and the false] among the appearances of things, we need to have a distinguishing method; to validate this method, we need to have a justifying argument; but to validate this justifying argument, we need the very method at issue. And there we are, going round on the wheel.” This line of skeptical argument originated in ancient Greece, with epistemology itself. It forces us to face this question: How can we specify what we know without having specified how we know, and how can we specify how we know without having specified what we know? Is there any reasonable way out of this threatening circle? This is one of the most difficult epistemological problems, and a cogent epistemology must offer a defensible solution to epistemology epistemology 277 4065A-  AM  277 it. Contemporary epistemology still lacks a widely accepted reply to this urgent problem.  A PRIORI, COHERENTISM, FOUNDATIONALISM, JUSTIFICATION, PERCEPTION, SKEPTICISM, TRUTH. P.K.M. epistemology, evolutionary.EVOLUTIONARY EPISTEMOLOGY. epistemology, genetic.PIAGET. epistemology, naturalistic.NATURALISTIC EPISTEMOLOGY. episyllogism.POLYSYLLOGISM. epoché.HUSSERL, PHENOMENOLOGY. E-proposition.SYLLOGISM. epsilon.Appendix of Special Symbols. equipollence, term used by Sextus Empiricus to express the view that there are arguments of equal strength on all sides of any question and that therefore we should suspend judgment on every question that can be raised.  SEXTUS EMPIRICUS. R.P. equipossible.EQUIPROBABLE. equiprobable, having the same probability. Sometimes used in the same way as ‘equipossible’, the term is associated with Laplace’s (the “classical”) interpretation of probability, where the probability of an event is the ratio of the number of equipossibilities favorable to the event to the total number of equipossibilities. For example, the probability of rolling an even number with a “fair” six-sided die is ½ – there being three equipossibilities (2, 4, 6) favorable to even, and six equipossibilities (1, 2, 3, 4, 5, 6) in all (and 3 /6 % ½). The concept is now generally thought not to be widely applicable to the interpretation of probability, since natural equipossibilities are not always at hand (as in assessing the probability of a thermonuclear war tomorrow).  PROBABILITY. E.Ee. equivalence, mutual inferability. The following are main kinds: two statements are materially equivalent provided they have the same truthvalue, and logically equivalent provided each can be deduced from the other; two sentences or words are equivalent in meaning provided they can be substituted for each other in any context without altering the meaning of that context. In truth-functional logic, two statements are logically equivalent if they can never have truthvalues different from each other. In this sense of ‘logically equivalent’ all tautologies are equivalent to each other and all contradictions are equivalent to each other. Similarly, in extensional set theory, two classes are equivalent provided they have the same numbers, so that all empty classes are regarded as equivalent. In a non-extensional set theory, classes would be equivalent only if their conditions of membership were logically equivalent or equivalent in meaning. R.P. equivalence, behavioral.TURING MACHINE. equivalence class.PARTITION, RELATION. equivalence condition.CONFIRMATION. equivalence relation.PARTITION, RELATION. equivocation, the use of an expression in two or more different senses in a single context. For example, in ‘The end of anything is its perfection. But the end of life is death; so death is the perfection of life’, the expression ‘end’ is first used in the sense of ‘goal or purpose,’ but in its second occurrence ‘end’ means ‘termination.’ The use of the two senses in this context is an equivocation. Where the context in which the expression used is an argument, the fallacy of equivocation may be committed.  INFORMAL FALLACY. W.K.W. equivocation, fallacy of.INFORMAL FALLACY. Er, myth of.MYTH OF ER. Erasmus, Desiderius (1466?–1536), Dutch scholar and philosopher who played an important role in Renaissance humanism. Like his Italian forerunners Petrarch, Coluccio Salutati, Lorenzo Valla, Leonardo Bruni, and others, Erasmus stressed within philosophy and theology the function of philological precision, grammatical correctness, and rhetorical elegance. But for Erasmus the virtues of bonae literarae which are cultivated by the study of authors of Latin and Greek antiquity must be decisively linked with Christian spirituality. Erasmus has been called (by Huizinga) the first modern intellectual because he tried to influence and reform the mentality of society by working within the shadow of ecclesiastical and political leaders. He epistemology, evolutionary Erasmus, Desiderius 278 4065A-  AM  278 became one of the first humanists to make efficient use of the then new medium of printing. His writings embrace various forms, including diatribe, oration, locution, comment, dialogue, and letter. After studying in Christian schools and living for a time in the monastery of Steyn near Gouda in the Netherlands, Erasmus worked for different patrons. He gained a post as secretary to the bishop of Kamerijk, during which time he wrote his first published book, the Adagia (first edition 1500), a collection of annotated Latin adages. Erasmus was an adviser to the Emperor Charles V, to whom he dedicated his Institutio principii christiani (1516). After studies at the University of Paris, where he attended lectures by the humanist Faber Stapulensis, Erasmus was put in touch by his patron Lord Mountjoy with the British humanists John Colet and Thomas More. Erasmus led a restless life, residing in several European cities including London, Louvain, Basel, Freiburg, Bologna, Turin (where he was awarded a doctorate of theology in 1506), and Rome. By using the means of modern philology, which led to the ideal of the bonae literarae, Erasmus tried to reform the Christian-influenced mentality of his times. Inspired by Valla’s Annotationes to the New Testament, he completed a new Latin translation of the New Testament, edited the writings of the early church fathers, especially St. Hieronymus, and wrote several commentaries on psalms. He tried to regenerate the spirit of early Christianity by laying bare its original sense against the background of scholastic interpretation. In his view, the rituals of the existing church blocked the development of an authentic Christian spirituality. Though Erasmus shared with Luther a critical approach toward the existing church, he did not side with the Reformation. His Diatribe de libero arbitrio (1524), in which he pleaded for the free will of man, was answered by Luther’s De servo arbitrio. The historically most influential books of Erasmus were Enchirion militis christiani (1503), in which he attacked hirelings and soldiers; the Encomium moriae id est Laus stultitiae (1511), a satire on modern life and the ecclesiastical pillars of society; and the sketches of human life, the Colloquia (first published in 1518, often enlarged until 1553). In the small book Querela pacis (1517), he rejected the ideology of justified wars propounded by Augustine and Aquinas. Against the madness of war Erasmus appealed to the virtues of tolerance, friendliness, and gentleness. All these virtues were for him the essence of Christianity.  HUMANISM; MORE, THOMAS. H.P. Erfahrung, German term translated into English, especially since Kant, as ‘experience’. Kant does not use it as a technical term; rather, it indicates that which requires explanation through more precisely drawn technical distinctions such as those among ‘sensibility’, ‘understanding’, and ‘reason’. In the early twentieth century, Husserl sometimes distinguishes between Erfahrung and Erlebnis, the former indicating experience as capable of being thematized and methodically described or analyzed, the latter experience as “lived through” and never fully available to analysis. Such a distinction occasionally reappears in later texts of phenomenology and existentialism.  ERLEBNIS. J.P.Su. Erigena, John Scotus, also called John the Scot, Eriugena, and Scottigena (c.810–77), Irish-born scholar and theologian. He taught grammar and dialectics at the court of Charles the Bald near Laon from 845 on. In a controversy in 851, John argued that there was only one predestination, to good, since evil was strictly nothing. Thus no one is compelled to evil by God’s foreknowledge, since, strictly speaking, God has no foreknowledge of what is not. But his reliance on dialectic, his Origenist conception of the world as a place of education repairing the damage done by sin, his interest in cosmology, and his perceived Pelagian tendencies excited opposition. Attacked by Prudentius of Troyes and Flores of Lyons, he was condemned at the councils of Valencia (855) and Langres (859). Charles commissioned him to translate the works of Pseudo-Dionysius and the Ambigua of Maximus the Confessor from the Greek. These works opened up a new world, and John followed his translations with commentaries on the Gospel of John and Pseudo-Dionysius, and then his chief work, the Division of Nature or Periphyseon (826–66), in the Neoplatonic tradition. He treats the universe as a procession from God, everything real in nature being a trace of God, and then a return to God through the presence of nature in human reason and man’s union with God. John held that the nature of man is not destroyed by union with God, though it is deified. He was condemned for pantheism at Paris in 1210. J.Lo. eristic, the art of controversy, often involving fallacious but persuasive reasoning. The ancient Sophists brought this art to a high level to achieve their personal goal. They may have found their material in the “encounters” in the Erfahrung eristic 279 4065A-  AM  279 law courts as well as in daily life. To enhance persuasion they endorsed the use of unsound principles such as hasty generalizations, faulty analogies, illegitimate appeal to authority, the post hoc ergo propter hoc (i.e., “after this, therefore because of this”) and other presumed principles. Aristotle exposed eristic argumentation in his Sophistical Refutations, which itself draws examples from Plato’s Euthydemus. From this latter work comes the famous example: ‘That dog is a father and that dog is his, therefore that dog is his father’. What is perhaps worse than its obvious invalidity is that the argument is superficially similar to a sound argument such as ‘This is a table and this is brown, therefore this is a brown table’. In the Sophistical Refutations Aristotle undertakes to find procedures for detection of bad arguments and to propose rules for constructing sound arguments.  DIALECTIC, INFORMAL FALLACY, SYLLOGISM. I.Bo. Erklärung.VERSTEHEN. Erlebnis, German term for experience used in late nineteenth- and early twentieth-century German philosophy. Erlebnis denotes experience in all its direct immediacy and lived fullness. It contrasts with the more typical German word Erfahrung, denoting ordinary experience as mediated through intellectual and constructive elements. As immediate, Erlebnis eludes conceptualization, in both the lived present and the interiority of experience. As direct, Erlebnis is also disclosive and extraordinary: it reveals something real that otherwise escapes thinking. Typical examples include art, religion, and love, all of which also show the anti-rationalist and polemical uses of the concept. It is especially popular among the Romantic mystics like Novalis and the anti-rationalists Nietzsche and Bergson, as well as in phenomenology, Lebensphilosophie, and existentialism. As used in post-Hegelian German philosophy, the term describes two aspects of subjectivity. The first concerns the epistemology of the human sciences and of phenomenology. Against naturalism and objectivism, philosophers appeal to the ineliminable, subjective qualities of experience to argue that interpreters must understand “what it is like to be” some experiencing subject, from the inside. The second use of the term is to denote extraordinary and interior experiences like art, religion, freedom, and vital energy. In both cases, it is unclear how such experience could be identified or known in its immediacy, and much recent German thought, such as Heidegger and hermeneutics, rejects the concept.  ERFAHRUNG, EXISTENTIALISM, PHENOMENOLOGY. J.Bo. Eros, the Greek god of erotic love. Eros came to be symbolic of various aspects of love, first appearing in Hesiod in opposition to reason. In general, however, Eros was seen by Greeks (e.g., Parmenides) as a unifying force. In Empedocles, it is one of two external forces explaining the history of the cosmos, the other being Strife. These forces resemble the “hidden harmony” of Heraclitus. The Symposium of Plato is the best-known ancient discussion of Eros, containing speeches from various standpoints – mythical, sophistic, etc. Socrates says he has learned from the priestess Diotima of a nobler form of Eros in which sexual desire can be developed into the pursuit of understanding the Form of beauty. The contrast between agape and Eros is found first in Democritus. This became important in Christian accounts of love. In Neoplatonism, Eros referred to the mystical union with Being sought by philosophers. Eros has become important recently in the work of Continental writers.  AGAPE. R.C. erotetic, in the strict sense, pertaining to questions. Erotetic logic is the logic of questions. Different conceptions of questions yield different kinds of erotetic logic. A Platonistic approach holds that questions exist independently of interrogatives. For P. Tichý, a question is a function on possible worlds, the right answer being the value of the function at the actual world. Erotetic logic is the logic of such functions. In the epistemic-imperative approach (of L. Bqvist, Hintikka, et al.), one begins with a system for epistemic sentences and embeds this in a system for imperative sentences, thus obtaining sentences of the form ‘make it the case that I know . . .’ and complex compounds of such sentences. Certain ones of these are defined to be interrogatives. Then erotetic logic is the logic of epistemic imperatives and the conditions for satisfaction of these imperatives. In the abstract interrogative approach (of N. Belnap, T. Kubigski, and many others), one chooses certain types of expression to serve as interrogatives, and, for each type, specifies what expressions count as answers of various kinds (direct, partial, . . .). On this approach we may say that interrogatives express questions, or we may identify questions with interrogatives, in Erklärung erotetic 280 4065A-  AM  280 which case the only meaning that an interrogative has is that it has the answers that it does. Either way, the emphasis is on interrogatives, and erotetic logic is the logic of systems that provide interrogatives and specify answers to them. In the broad sense, ‘erotetic’ designates what pertains to utterance-and-response. In this sense erotetic logic is the logic of the relations between (1) sentences of many kinds and (2) the expressions that count as appropriate replies to them. This includes not only the relations between question and answer but also, e.g., between assertion and agreement or denial, command and report of compliance or refusal, and (for many types of sentence S) between S and various corrective replies to S (e.g., denial of the presupposition of S). Erotetic logics may differ in the class of sentences treated, the types of response counted as appropriate, the assignment of other content (presupposition, projection, etc.), and other details.  DEONTIC LOGIC, EPISTEMIC LOGIC, MODAL LOGIC. D.H. error theory.MORAL REALISM. Esprit movement.FRENCH PERSONALISM. Esse est percipi.BERKELEY. essence.ESSENTIALISM. essence, nominal.ESSENTIALISM. essence, real.ESSENTIALISM. essentialism, a metaphysical theory that objects have essences and that there is a distinction between essential and non-essential or accidental predications. Different issues have, however, been central in debates about essences and essential predication in different periods in the history of philosophy. In our own day, it is commitment to the notion of de re modality that is generally taken to render a theory essentialist; but in the essentialist tradition stemming from Aristotle, discussions of essence and essential predication focus on the distinction between what an object is and how it is. According to Aristotle, the universals that an ordinary object instantiates include some that mark it out as what it is and others that characterize it in some way but do not figure in an account of what it is. In the Categories, he tells us that while the former are said of the object, the latter are merely present in it; and in other writings, he distinguishes between what he calls kath hauto or per se predications (where these include the predication of what-universals) and kata sumbebekos or per accidens predications (where these include the predication of how-universals). He concedes that universals predicated of an object kath hauto are necessary to that object; but he construes the necessity here as derivative. It is because a universal marks out an entity, x, as what x is and hence underlies its being the thing that it is that the universal is necessarily predicated of x. The concept of definition is critically involved in Aristotle’s essentialism. First, it is the kind – infima species – under which an object falls or one of the items (genus or differentia) included in the definition of that kind that is predicated of the object kath hauto. But, second, Aristotle’s notion of an essence just is the notion of the ontological correlate of a definition. The term in his writings we translate as ‘essence’ is the expression to ti ein einai (the what it is to be). Typically, the expression is followed by a substantival expression in the dative case, so that the expressions denoting essences are phrases like ‘the what it is to be for a horse’ and ‘the what it is to be for an oak tree’; and Aristotle tells us that, for any kind, K, the what it is to be for a K just is that which we identify when we provide a complete and accurate definition of K. Now, Aristotle holds that there is definition only of universals; and this commits him to the view that there are no individual essences. Although he concedes that we can provide definitions of universals from any of his list of ten categories, he gives pride of place to the essences of universals from the category of substance. Substance-universals can be identified without reference to essences from other categories, but the essences of qualities, quantities, and other non-substances can be defined only by reference to the essences of substances. In his early writings, Aristotle took the familiar particulars of common sense (things like the individual man and horse of Categories V) to be the primary substances; and in these writings it is the essences we isolate by defining the kinds or species under which familiar particulars fall that are construed as the basic or paradigmatic essences. However, in later writings, where ordinary particulars are taken to be complexes of matter and form, it is the substantial forms of familiar particulars that are the primary substances, so their essences are the primary or basic essences; and a central theme in Aristotle’s most mature writings is the idea that the primary substances and their essences are necessarily one and the same in number. error theory essentialism 281 4065A-  AM  281 The conception of essence as the ontological correlate of a definition – often called quiddity – persists throughout the medieval tradition; and in early modern philosophy, the idea that the identity of an object is constituted by what it is plays an important role in Continental rationalist thinkers. Indeed, in the writings of Leibniz, we find the most extreme version of traditional essentialism. Whereas Aristotle had held that essences are invariably general, Leibniz insisted that each individual has an essence peculiar to it. He called the essence associated with an entity its complete individual concept; and he maintained that the individual concept somehow entails all the properties exemplified by the relevant individual. Accordingly, Leibniz believed that an omniscient being could, for each possible world and each possible individual, infer from the individual concept of that individual the whole range of properties exemplified by that individual in that possible world. But, then, from the perspective of an omniscient being, all of the propositions identifying the properties the individual actually exhibits would express what Aristotle called kath hauto predications. Leibniz, of course, denied that our perspective is that of an omniscient being; we fail to grasp individual essences in their fullness, so from our perspective, the distinction between essential and accidental predications holds. While classical rationalists espoused a thoroughgoing essentialism, the Aristotlelian conceptions of essence and definition were the repeated targets of attacks by classical British empiricists. Hobbes, e.g., found the notion of essence philosophically useless and insisted that definition merely displays the meanings conventionally associated with linguistic expressions. Locke, on the other hand, continued to speak of essences; but he distinguished between real and nominal essences. As he saw it, the familiar objects of common sense are collections of copresent sensible ideas to which we attach a single name like ‘man’ or ‘horse’. Identifying the ideas constitutive of the relevant collection gives us the nominal essence of a man or a horse. Locke did not deny that real essences might underlie such collections, but he insisted that it is nominal rather than real essences to which we have epistemic access. Hume, in turn, endorsed the idea that familiar objects are collections of sensible ideas, but rejected the idea of some underlying real essence to which we have no access; and he implicitly reinforced the Hobbesian critique of Aristotelian essences with his attack on the idea of de re necessities. So definition merely expresses the meanings we conventionally associate with words, and the only necessity associated with definition is linguistic or verbal necessity. From its origins, the twentieth-century analytic tradition endorsed the classical empiricist critique of essences and the Humean view that necessity is merely linguistic. Indeed, even the Humean concession that there is a special class of statements true in virtue of their meanings came into question in the forties and fifties, when philosophers like Quine argued that it is impossible to provide a noncircular criterion for distinguishing analytic and synthetic statements. So by the late 1950s, it had become the conventional wisdom of philosophers in the Anglo-American tradition that both the notion of a real essence and the derivative idea that some among the properties true of an object are essential to that object are philosophical dead ends. But over the past three decades, developments in the semantics of modal logic have called into question traditional empiricist skepticism about essence and modality and have given rise to a rebirth of essentialism. In the late fifties and early sixties, logicians (like Kripke, Hintikka, and Richard Montague) showed how formal techniques that have as their intuitive core the Leibnizian idea that necessity is truth in all possible worlds enable us to provide completeness proofs for a whole range of nonequivalent modal logics. Metaphysicians seized on the intuitions underlying these formal methods. They proposed that we take the picture of alternative possible worlds seriously and claimed that attributions of de dicto modality (necessity and possibility as they apply to propositions) can be understood to involve quantification over possible worlds. Thus, to say that a proposition, p, is necessary is to say that for every possible world, W, p is true in W; and to say that p is possible is to say that there is at least one possible world, W, such that p is true in W. These metaphysicians went on to claim that the framework of possible worlds enables us to make sense of de re modality. Whereas de dicto modality attaches to propositions taken as a whole, an ascription of de re modality identifies the modal status of an object’s exemplification of an attribute. Thus, we speak of Socrates as being necessarily or essentially rational, but only contingently snub-nosed. Intuitively, the essential properties of an object are those it could not have lacked; whereas its contingent properties are properties it exemplifies but could have failed to exemplify. The “friends of possible worlds” insisted that we can make perfectly good sense of this intuitive distinction if we say that an object, essentialism essentialism 282 4065A-  AM  282 x, exhibits a property, P, essentially just in case x exhibits P in the actual world and in every possible world in which x exists and that x exhibits P merely contingently just in case x exhibits P in the actual world, but there is at least one possible world, W, such that x exists in W and fails to exhibit P in W. Not only have these neo-essentialists invoked the Leibnizian conception of alternative possible worlds in characterizing the de re modalities, many have endorsed Leibniz’s idea that each object has an individual essence or what is sometimes called a haecceity. As we have seen, the intuitive idea of an individual essence is the idea of a property an object exhibits essentially and that no other object could possibly exhibit; and contemporary essentialists have fleshed out this intuitive notion by saying that a property, P, is the haecceity or individual essence of an object, x, just in case (1) x exhibits P in the actual world and in all worlds in which x exists and (2) there is no possible world where an object distinct from x exhibits P. And some defenders of individual essences (like Plantinga) have followed Leibniz in holding that the haecceity of an object provides a complete concept of that object, a property such that it entails, for every possible world, W, and every property, P, either the proposition that the object in question has P in W or the proposition that it fails to have P in W. Accordingly, they agree that an omniscient being could infer from the individual essence of an object a complete account of the history of that object in each possible world in which it exists.  ARISTOTLE, DEFINITION, HAECCEITY, MODAL LOGIC, NECESSITY, POSSIBLE WORLDS. M.J.L. essentialism, mereological.HAECCEITY, MEREOLOGY. essential property.PROPERTY. eternal recurrence.ETERNAL RETURN. eternal return, the doctrine that the same events, occurring in the same sequence and involving the same things, have occurred infinitely many times in the past and will occur infinitely many times in the future. Attributed most notably to the Stoics and Nietzsche, the doctrine is antithetical to philosophical and religious viewpoints that claim that the world order is unique, contingent in part, and directed toward some goal. The Stoics interpret eternal return as the consequence of perpetual divine activity imposing exceptionless causal principles on the world in a supremely rational, providential way. The world, being the best possible, can only be repeated endlessly. The Stoics do not explain why the best world cannot be everlasting, making repetition unnecessary. It is not clear whether Nietzsche asserted eternal return as a cosmological doctrine or only as a thought experiment designed to confront one with the authenticity of one’s life: would one affirm that life even if one were consigned to live it over again without end? On either interpretation, Nietzsche’s version, like the Stoic version, stresses the inexorability and necessary interconnectedness of all things and events, although unlike the Stoic version, it rejects divine providence.  NIETZSCHE, STOICISM. W.E.M. eternal return, law of.COMPUTER THEORY. eternity.DIVINE ATTRIBUTES. ethical absolutism.RELATIVISM. ethical constructivism, a form of anti-realism about ethics which holds that there are moral facts and truths, but insists that these facts and truths are in some way constituted by or dependent on our moral beliefs, reactions, or attitudes. For instance, an ideal observer theory that represents the moral rightness and wrongness of an act in terms of the moral approval and disapproval that an appraiser would have under suitably idealized conditions can be understood as a form of ethical constructivism. Another form of constructivism identifies the truth of a moral belief with its being part of the appropriate system of beliefs, e.g., of a system of moral and nonmoral beliefs that is internally coherent. Such a view would maintain a coherence theory of moral truth. Moral relativism is a constructivist view that allows for a plurality of moral facts and truths. Thus, if the idealizing conditions appealed to in an ideal observer theory allow that different appraisers can have different reactions to the same actions under ideal conditions, then that ideal observer theory will be a version of moral relativism as well as of ethical constructivism. Or, if different systems of moral beliefs satisfy the appropriate epistemic conditions (e.g. are equally coherent), then the truth or falsity of particular moral beliefs will have to be relativized to different moral systems or codes.  ETHICAL OBJECTIVISM, ETHICS, IDEAL OBSERVER, RELATIVISM. D.O.B. essentialism, mereological ethical constructivism 283 4065A-  AM  283 ethical conventionalism.RELATIVISM. ethical dualism.ZOROASTRIANISM. ethical egoism.EGOISM. ethical eudaimonism.EUDAIMONISM. ethical hedonism.HEDONISM. ethical intuitionism.ETHICS. ethical naturalism.ETHICS, MORAL REALISM, NATURALISM. ethical nihilism.RELATIVISM. ethical objectivism, the view that the objects of the most basic concepts of ethics (which may be supposed to be values, obligations, duties, oughts, rights, or what not) exist, or that facts about them hold, objectively and that similarly worded ethical statements by different persons make the same factual claims (and thus do not concern merely the speaker’s feelings). To say that a fact is objective, or that something has objective existence, is usually to say that its holding or existence is not derivative from its being thought to hold or exist. (In the Scholastic terminology still current in the seventeenth century ‘objective’ had the more or less contrary meaning of having status only as an object of thought.) In contrast, fact, or a thing’s existence, is subjective if it holds or exists only in the sense that it is thought to hold or exist, or that it is merely a convenient human posit for practical purposes. A fact holds, or an object exists, intersubjectively if somehow its acknowledgment is binding on all thinking subjects (or all subjects in some specified group), although it does not hold or exist independently of their thinking about it. Some thinkers suppose that intersubjectivity is all that can ever properly be meant by objectivity. Objectivism may be naturalist or non-naturalist. The naturalist objectivist believes that values, duties, or whatever are natural phenomena detectable by introspection, perception, or scientific inference. Thus values may be identified with certain empirical qualities of (anybody’s) experience, or duties with empirical facts about the effects of action, e.g. as promoting or hindering social cohesion. The non-naturalist objectivist (eschewing what Moore called the naturalistic fallacy) believes that values or obligations (or whatever items he thinks most basic in ethics) exist independently of any belief about them, but that their existence is not a matter of any ordinary fact detectable in the above ways but can be revealed to ethical intuition as standing in a necessary (but not analytic) relation to natural phenomena. ‘Ethical subjectivism’ usually means the doctrine that ethical statements are simply reports on the speaker’s feelings (though, confusingly enough, such statements may be objectively true or false). Perhaps it ought to mean the doctrine that nothing is good or bad but thinking makes it so. Attitude theories of morality, for which such statements express, rather than report upon, the speaker’s feelings, are also, despite the objections of their proponents, sometimes called subjectivist. In a more popular usage an objective matter of fact is one on which all reasonable persons can be expected to agree, while a matter is subjective if various alternative opinions can be accepted as reasonable. What is subjective in this sense may be quite objective in the more philosophical sense in question above.  ETHICS, MOORE, MORAL REALISM. T.L.S.S. ethical pragmatism.MORAL EPISTEMOLOGY. ethical relativism.RELATIVISM. ethical skepticism.RELATIVISM. ethics, the philosophical study of morality. The word is also commonly used interchangeably with ‘morality’ to mean the subject matter of this study; and sometimes it is used more narrowly to mean the moral principles of a particular tradition, group, or individual. Christian ethics and Albert Schweitzer’s ethics are examples. In this article the word will be used exclusively to mean the philosophical study. Ethics, along with logic, metaphysics, and epistemology, is one of the main branches of philosophy. It corresponds, in the traditional division of the field into formal, natural, and moral philosophy, to the last of these disciplines. It can in turn be divided into the general study of goodness, the general study of right action, applied ethics, metaethics, moral psychology, and the metaphysics of moral responsibility. These divisions are not sharp, and many important studies in ethics, particularly those that examine or develop whole systems of ethics, are interdivisional. Nonetheless, they facilitate the identification of different problems, movements, and schools within the discipline. ethical conventionalism ethics 284 4065A-  AM  284 The first two, the general study of goodness and the general study of right action, constitute the main business of ethics. Correlatively, its principal substantive questions are what ends we ought, as fully rational human beings, to choose and pursue and what moral principles should govern our choices and pursuits. How these questions are related is the discipline’s principal structural question, and structural differences among systems of ethics reflect different answers to this question. In contemporary ethics, the study of structure has come increasingly to the fore, especially as a preliminary to the general study of right action. In the natural order of exposition, however, the substantive questions come first. Goodness and the question of ends. Philosophers have typically treated the question of the ends we ought to pursue in one of two ways: either as a question about the components of a good life or as a question about what sorts of things are good in themselves. On the first way of treating the question, it is assumed that we naturally seek a good life; hence, determining its components amounts to determining, relative to our desire for such a life, what ends we ought to pursue. On the second way, no such assumption about human nature is made; rather it is assumed that whatever is good in itself is worth choosing or pursuing. The first way of treating the question leads directly to the theory of human well-being. The second way leads directly to the theory of intrinsic value. The first theory originated in ancient ethics, and eudaimonia was the Greek word for its subject, a word usually translated ‘happiness,’ but sometimes translated ‘flourishing’ in order to make the question of human well-being seem more a matter of how well a person is doing than how good he is feeling. These alternatives reflect the different conceptions of human well-being that inform the two major views within the theory: the view that feeling good or pleasure is the essence of human well-being and the view that doing well or excelling at things worth doing is its essence. The first view is hedonism in its classical form. Its most famous exponent among the ancients was Epicurus. The second view is perfectionism, a view that is common to several schools of ancient ethics. Its adherents include Plato, Aristotle, and the Stoics. Among the moderns, the best-known defenders of classical hedonism and perfectionism are respectively J. S. Mill and Nietzsche. Although these two views differ on the question of what human well-being essentially consists in, neither thereby denies that the other’s answer has a place in a good human life. Indeed, mature statements of each typically assign the other’s answer an ancillary place. Thus, hedonism, as expounded by Epicurus, takes excelling at things worth doing – exercising one’s intellectual powers and moral virtues in exemplary and fruitful ways, e.g. – as the tried and true means to experiencing life’s most satisfying pleasures. And perfectionism, as developed in Aristotle’s ethics, underscores the importance of pleasure – the deep satisfaction that comes from doing an important job well, e.g. – as a natural concomitant of achieving excellence in things that matter. The two views, as expressed in these mature statements, differ not so much in the kinds of activities they take to be central to a good life as in the ways they explain the goodness of such a life. The chief difference between them, then, is philosophical rather than prescriptive. The second theory, the theory of intrinsic value, also has roots in ancient ethics, specifically, Plato’s theory of Forms. But unlike Plato’s theory, the basic tenets of which include certain doctrines about the reality and transcendence of value, the theory of intrinsic value neither contains nor presupposes any metaphysical theses. At issue in the theory is what things are good in themselves, and one can take a position on this issue without committing oneself to any thesis about the reality or unreality of goodness or about its transcendence or immanence. A list of the different things philosophers have considered good in themselves would include life, happiness, pleasure, knowledge, virtue, friendship, beauty, and harmony. The list could easily be extended. An interest in what constitutes the goodness of the various items on the list has brought philosophers to focus primarily on the question of whether something unites them. The opposing views on this question are monism and pluralism. Monists affirm the list’s unity; pluralists deny it. Plato, for instance, was a monist. He held that the goodness of everything good in itself consisted in harmony and therefore each such thing owed its goodness to its being harmonious. Alternatively, some philosophers have proposed pleasure as the sole constituent of goodness. Indeed, conceiving of pleasure as a particular kind of experience or state of consciousness, they have proposed this kind of experience as the only thing good in itself and characterized all other good things as instrumentally good, as owing their goodness to their ethics ethics 285 4065A-  AM  285 being sources of pleasure. Thus, hedonism too can be a species of monism. In this case, though, one must distinguish between the view that it is one’s own experiences of pleasure that are intrinsically good and the view that anyone’s experiences of pleasure, indeed, any sentient being’s experiences of pleasure, are intrinsically good. The former is called (by Sidgwick) egoistic hedonism, the latter universal hedonism. This distinction can be made general, as a distinction between egoistic and universal views of what is good in itself or, as philosophers now commonly say, between agent-relative and agent-neutral value. As such, it indicates a significant point of disagreement in the theory of intrinsic value, a disagreement in which the seeming arbitrariness and blindness of egoism make it harder to defend. In drawing this conclusion, however, one must be careful not to mistake these egoistic views for views in the theory of human well-being, for each set of views represents a set of alternative answers to a different question. One must be careful, in other words, not to infer from the greater defensibility of universalism vis-à-vis egoism that universalism is the predominant view in the general study of goodness. Right action. The general study of right action concerns the principles of right and wrong that govern our choices and pursuits. In modern ethics these principles are typically given a jural conception. Accordingly, they are understood to constitute a moral code that defines the duties of men and women who live together in fellowship. This conception of moral principles is chiefly due to the influence of Christianity in the West, though some of its elements were already present in Stoic ethics. Its ascendancy in the general study of right action puts the theory of duty at the center of that study. The theory has two parts: the systematic exposition of the moral code that defines our duties; and its justification. The first part, when fully developed, presents complete formulations of the fundamental principles of right and wrong and shows how they yield all moral duties. The standard model is an axiomatic system in mathematics, though some philosophers have proposed a technical system of an applied science, such as medicine or strategy, as an alternative. The second part, if successful, establishes the authority of the principles and so validates the code. Various methods and criteria of justification are commonly used; no single one is canonical. Success in establishing the principles’ authority depends on the soundness of the argument that proceeds from whatever method or criterion is used. One traditional criterion is implicit in the idea of an axiomatic system. On this criterion, the fundamental principles of right and wrong are authoritative in virtue of being self-evident truths. That is, they are regarded as comparable to axioms not only in being the first principles of a deductive system but also in being principles whose truth can be seen immediately upon reflection. Use of this criterion to establish the principles’ authority is the hallmark of intuitionism. Once one of the dominant views in ethics, its position in the discipline has now been seriously eroded by a strong, twentieth-century tide of skepticism about all claims of self-evidence. Currently, the most influential method of justification consistent with using the model of an axiomatic system to expound the morality of right and wrong draws on the jural conception of its principles. On this method, the principles are interpreted as expressions of a legislative will, and accordingly their authority derives from the sovereignty of the person or collective whose will they are taken to express. The oldest example of the method’s use is the divine command theory. On this theory, moral principles are taken to be laws issued by God to humanity, and their authority thus derives from God’s supremacy. The theory is the original Christian source of the principles’ jural conception. The rise of secular thought since the Enlightenment has, however, limited its appeal. Later examples, which continue to attract broad interest and discussion, are formalism and contractarianism. Formalism is best exemplified in Kant’s ethics. It takes a moral principle to be a precept that satisfies the formal criteria of a universal law, and it takes formal criteria to be the marks of pure reason. Consequently, moral principles are laws that issue from reason. As Kant puts it, they are laws that we, as rational beings, give to ourselves and that regulate our conduct insofar as we engage each other’s rational nature. They are laws for a republic of reason or, as Kant says, a kingdom of ends whose legislature comprises all rational beings. Through this ideal, Kant makes intelligible and forceful the otherwise obscure notion that moral principles derive their authority from the sovereignty of reason. Contractarianism also draws inspiration from Kant’s ethics as well as from the social contract theories of Locke and Rousseau. Its fullest and most influential statement appears in the work of Rawls. On this view, moral principles represent ethics ethics 286 4065A-  AM  286 the ideal terms of social cooperation for people who live together in fellowship and regard each other as equals. Specifically, they are taken to be the conditions of an ideal agreement among such people, an agreement that they would adopt if they met as an assembly of equals to decide collectively on the social arrangements governing their relations and reached their decision as a result of open debate and rational deliberation. The authority of moral principles derives, then, from the fairness of the procedures by which the terms of social cooperation would be arrived at in this hypothetical constitutional convention and the assumption that any rational individual who wanted to live peaceably with others and who imagined himself a party to this convention would, in view of the fairness of its procedures, assent to its results. It derives, that is, from the hypothetical consent of the governed. Philosophers who think of a moral code on the model of a technical system of an applied science use an entirely different method of justification. In their view, just as the principles of medicine represent knowledge about how best to promote health, so the principles of right and wrong represent knowledge about how best to promote the ends of morality. These philosophers, then, have a teleological conception of the code. Our fundamental duty is to promote certain ends, and the principles of right and wrong organize and direct our efforts in this regard. What justifies the principles, on this view, is that the ends they serve are the right ones to promote and the actions they prescribe are the best ways to promote them. The principles are authoritative, in other words, in virtue of the wisdom of their prescriptions. Different teleological views in the theory of duty correspond to different answers to the question of what the right ends to promote are. The most common answer is happiness; and the main division among the corresponding views mirrors the distinction in the theory of intrinsic value between egoism and universalism. Thus, egoism and universalism in the theory of duty hold, respectively, that the fundamental duty of morality is to promote, as best as one can, one’s own happiness and that it is to promote, as best as one can, the happiness of humanity. The former is ethical egoism and is based on the ideal of rational self-love. The latter is utilitarianism and is based on the ideal of rational benevolence. Ethical egoism’s most famous exponents in modern philosophy are Hobbes and Spinoza. It has had few distinguished defenders since their time. Bentham and J. S. Mill head the list of distinguished defenders of utilitarianism. The view continues to be enormously influential. On these teleological views, answers to questions about the ends we ought to pursue determine the principles of right and wrong. Put differently, the general study of right action, on these views, is subordinate to the general study of goodness. This is one of the two leading answers to the structural question about how the two studies are related. The other is that the general study of right action is to some extent independent of the general study of goodness. On views that represent this answer, some principles of right and wrong, notably principles of justice and honesty, prescribe actions even though more evil than good would result from doing them. These views are deontological. Fiat justitia ruat coelum captures their spirit. The opposition between teleology and deontology in ethics underlies many of the disputes in the general study of right action. The principal substantive and structural questions of ethics arise not only with respect to the conduct of human life generally but also with respect to specific walks of life such as medicine, law, journalism, engineering, and business. The examination of these questions in relation to the common practices and traditional codes of such professions and occupations has resulted in the special studies of applied ethics. In these studies, ideas and theories from the general studies of goodness and right action are applied to particular circumstances and problems of some profession or occupation, and standard philosophical techniques are used to define, clarify, and organize the ethical issues found in its domain. In medicine, in particular, where rapid advances in technology create, overnight, novel ethical problems on matters of life and death, the study of biomedical ethics has generated substantial interest among practitioners and scholars alike. Metaethics. To a large extent, the general studies of goodness and right action and the special studies of applied ethics consist in systematizing, deepening, and revising our beliefs about how we ought to conduct our lives. At the same time, it is characteristic of philosophers, when reflecting on such systems of belief, to examine the nature and grounds of these beliefs. These questions, when asked about ethical beliefs, define the field of metaethics. The relation of this field to the other studies is commonly represented by taking the other studies to constitute the field of ethics proper and then taking metaethics to be the study of the concepts, methods of justificaethics ethics 287 4065A-  AM  287 tion, and ontological assumptions of the field of ethics proper. Accordingly, metaethics can proceed from either an interest in the epistemology of ethics or an interest in its metaphysics. On the first approach, the study focuses on questions about the character of ethical knowledge. Typically, it concentrates on the simplest ethical beliefs, such as ‘Stealing is wrong’ and ‘It is better to give than to receive’, and proceeds by analyzing the concepts in virtue of which these beliefs are ethical and examining their logical basis. On the second approach, the study focuses on questions about the existence and character of ethical properties. Typically, it concentrates on the most general ethical predicates such as goodness and wrongfulness and considers whether there truly are ethical properties represented by these predicates and, if so, whether and how they are interwoven into the natural world. The two approaches are complementary. Neither dominates the other. The epistemological approach is comparative. It looks to the most successful branches of knowledge, the natural sciences and pure mathematics, for paradigms. The former supplies the paradigm of knowledge that is based on observation of natural phenomena; the latter supplies the paradigm of knowledge that seemingly results from the sheer exercise of reason. Under the influence of these paradigms, three distinct views have emerged: naturalism, rationalism, and noncognitivism. Naturalism takes ethical knowledge to be empirical and accordingly models it on the paradigm of the natural sciences. Ethical concepts, on this view, concern natural phenomena. Rationalism takes ethical knowledge to be a priori and accordingly models it on the paradigm of pure mathematics. Ethical concepts, on this view, concern morality understood as something completely distinct from, though applicable to, natural phenomena, something whose content and structure can be apprehended by reason independently of sensory inputs. Noncognitivism, in opposition to these other views, denies that ethics is a genuine branch of knowledge or takes it to be a branch of knowledge only in a qualified sense. In either case, it denies that ethics is properly modeled on science or mathematics. On the most extreme form of noncognitivism, there are no genuine ethical concepts; words like ‘right’, ‘wrong’, ‘good’, and ‘evil’ have no cognitive meaning but rather serve to vent feelings and emotions, to express decisions and commitments, or to influence attitudes and dispositions. On less extreme forms, these words are taken to have some cognitive meaning, but conveying that meaning is held to be decidedly secondary to the purposes of venting feelings, expressing decisions, or influencing attitudes. Naturalism is well represented in the work of Mill; rationalism in the works of Kant and the intuitionists. And noncognitivism, which did not emerge as a distinctive view until the twentieth century, is most powerfully expounded in the works of C. L. Stevenson and Hare. Its central tenets, however, were anticipated by Hume, whose skeptical attacks on rationalism set the agenda for subsequent work in metaethics. The metaphysical approach is centered on the question of objectivity, the question of whether ethical predicates represent real properties of an external world or merely apparent or invented properties, properties that owe their existence to the perception, feeling, or thought of those who ascribe them. Two views dominate this approach. The first, moral realism, affirms the real existence of ethical properties. It takes them to inhere in the external world and thus to exist independently of their being perceived. For moral realism, ethics is an objective discipline, a discipline that promises discovery and confirmation of objective truths. At the same time, moral realists differ fundamentally on the question of the character of ethical properties. Some, such as Plato and Moore, regard them as purely intellective and thus irreducibly distinct from empirical properties. Others, such as Aristotle and Mill, regard them as empirical and either reducible to or at least supervenient on other empirical properties. The second view, moral subjectivism, denies the real existence of ethical properties. On this view, to predicate, say, goodness of a person is to impose some feeling, impulse, or other state of mind onto the world, much as one projects an emotion onto one’s circumstances when one describes them as delightful or sad. On the assumption of moral subjectivism, ethics is not a source of objective truth. In ancient philosophy, moral subjectivism was advanced by some of the Sophists, notably Protagoras. In modern philosophy, Hume expounded it in the eighteenth century and Sartre in the twentieth century. Regardless of approach, one (and perhaps the central) problem of metaethics is how value is related to fact. On the epistemological approach, this problem is commonly posed as the question of whether judgments of value are derivable from statements of fact. Or, to be more exact, can there be a logically valid argument whose conethics ethics 288 4065A-  AM  288 clusion is a judgment of value and all of whose premises are statements of fact? On the metaphysical approach, the problem is commonly posed as the question of whether moral predicates represent properties that are explicable as complexes of empirical properties. At issue, in either case, is whether ethics is an autonomous discipline, whether the study of moral values and principles is to some degree independent of the study of observable properties and events. A negative answer to these questions affirms the autonomy of ethics; a positive answer denies ethics’ autonomy and implies that it is a branch of the natural sciences. Moral psychology. Even those who affirm the autonomy of ethics recognize that some facts, particularly facts of human psychology, bear on the general studies of goodness and right action. No one maintains that these studies float free of all conception of human appetite and passion or that they presuppose no account of the human capacity for voluntary action. It is generally recognized that an adequate understanding of desire, emotion, deliberation, choice, volition, character, and personality is indispensable to the theoretical treatment of human well-being, intrinsic value, and duty. Investigations into the nature of these psychological phenomena are therefore an essential, though auxiliary, part of ethics. They constitute the adjunct field of moral psychology. One area of particular interest within this field is the study of those capacities by virtue of which men and women qualify as moral agents, beings who are responsible for their actions. This study is especially important to the theory of duty since that theory, in modern philosophy, characteristically assumes a strong doctrine of individual responsibility. That is, it assumes principles of culpability for wrongdoing that require, as conditions of justified blame, that the act of wrongdoing be one’s own and that it not be done innocently. Only moral agents are capable of meeting these conditions. And the presumption is that normal, adult human beings qualify as moral agents whereas small children and nonhuman animals do not. The study then focuses on those capacities that distinguish the former from the latter as responsible beings. The main issue is whether the power of reason alone accounts for these capacities. On one side of the issue are philosophers like Kant who hold that it does. Reason, in their view, is both the pilot and the engine of moral agency. It not only guides one toward actions in conformity with one’s duty, but it also produces the desire to do one’s duty and can invest that desire with enough strength to overrule conflicting impulses of appetite and passion. On the other side are philosophers, such as Hume and Mill, who take reason to be one of several capacities that constitute moral agency. On their view, reason works strictly in the service of natural and sublimated desires, fears, and aversions to produce intelligent action, to guide its possessor toward the objects of those desires and away from the objects of those fears. It cannot, however, by itself originate any desire or fear. Thus, the desire to act rightly, the aversion to acting wrongly, which are constituents of moral agency, are not products of reason but are instead acquired through some mechanical process of socialization by which their objects become associated with the objects of natural desires and aversions. On one view, then, moral agency consists in the power of reason to govern behavior, and being rational is thus sufficient for being responsible for one’s actions. On the other view, moral agency consists in several things including reason, but also including a desire to act rightly and an aversion to acting wrongly that originate in natural desires and aversions. On this view, to be responsible for one’s actions, one must not only be rational but also have certain desires and aversions whose acquisition is not guaranteed by the maturation of reason. Within moral psychology, one cardinal test of these views is how well they can accommodate and explain such common experiences of moral agency as conscience, weakness, and moral dilemma. At some point, however, the views must be tested by questions about freedom. For one cannot be responsible for one’s actions if one is incapable of acting freely, which is to say, of one’s own free will. The capacity for free action is thus essential to moral agency, and how this capacity is to be explained, whether it fits within a deterministic universe, and if not, whether the notion of moral responsibility should be jettisoned, are among the deepest questions that the student of moral agency must face. What is more, they are not questions to which moral psychology can furnish answers. At this point, ethics descends into metaphysics.  BIOETHICS, CONTRACTARIANISM, HEDONISM, JUSTICE, MORALITY, NATURALISM, PERFECTIONISM, UTILITARIANISM. J.D. ethics, autonomy of.ETHICS. ethics, deontological.ETHICS. ethics, autonomy of ethics, deontological 289 4065A-  AM  289 ethics, divine command.DIVINE COMMAND ETHICS. ethics, environmental.ENVIRONMENTAL PHILOSOPHY. ethics, evolutionary.PHILOSOPHY OF BIOLOGY. ethics, teleological.ETHICS. ethics of belief.CLIFFORD. ethics of love.DIVINE COMMAND ETHICS. ethnography, an open-ended family of techniques through which anthropologists investigate cultures; also, the organized descriptions of other cultures that result from this method. Cultural anthropology – ethnology – is based primarily on fieldwork through which anthropologists immerse themselves in the life of a local culture (village, neighborhood) and attempt to describe and interpret aspects of the culture. Careful observation is one central tool of investigation. Through it the anthropologist can observe and record various features of social life, e.g. trading practices, farming techniques, or marriage arrangements. A second central tool is the interview, through which the researcher explores the beliefs and values of members of the local culture. Tools of historical research, including particularly oral history, are also of use in ethnography, since the cultural practices of interest often derive from a remote point in time.  ETHNOLOGY. D.E.L. ethnology, the comparative and analytical study of cultures; cultural anthroplogy. Anthropologists aim to describe and interpret aspects of the culture of various social groups – e.g., the hunter-gatherers of the Kalahari, rice villages of the Chinese Canton Delta, or a community of physicists at Livermore Laboratory. Topics of particular interest include religious beliefs, linguistic practices, kinship arrangements, marriage patterns, farming technology, dietary practices, gender relations, and power relations. Cultural anthropology is generally conceived as an empirical science, and this raises several methodological and conceptual difficulties. First is the role of the observer. The injection of an alien observer into the local culture unavoidably disturbs that culture. Second, there is the problem of intelligibility across cultural systems – radical translation. One goal of ethnographic research is to arrive at an interpretation of a set of beliefs and values that are thought to be radically different from the researcher’s own beliefs and values; but if this is so, then it is questionable whether they can be accurately translated into the researcher’s conceptual scheme. Third, there is the problem of empirical testing of ethnographic interpretations. To what extent do empirical procedures constrain the construction of an interpretation of a given cultural milieu? Finally, there is the problem of generalizability. To what extent does fieldwork in one location permit anthropologists to generalize to a larger context – other villages, the dispersed ethnic group represented by this village, or this village at other times?  ETHNOGRAPHY, PHILOSOPHY OF THE SOCIAL SCIENCES. D.E.L. ethnomethodology, a phenomenological approach to interpreting everyday action and speech in various social contexts. Derived from phenomenological sociology and introduced by Harold Garfinkel, the method aims to guide research into meaningful social practices as experienced by participants. A major objective of the method is to interpret the rules that underlie everyday activity and thus constitute part of the normative basis of a given social order. Research from this perspective generally focuses on mundane social activities – e.g., psychiatrists evaluating patients’ files, jurors deliberating on defendants’ culpability, or coroners judging causes of death. The investigator then attempts to reconstruct an underlying set of rules and ad hoc procedures that may be taken to have guided the observed activity. The approach emphasizes the contextuality of social practice – the richness of unspoken shared understandings that guide and orient participants’ actions in a given practice or activity.  VERSTEHEN. D.E.L. Eucken, Rudolf.LEBENSPHILOSOPHIE. Euclid.EUCLIDEAN GEOMETRY. Euclidean geometry, the version of geometry that includes among its axioms the parallel axiom, which asserts that, given a line L in a plane, there exists just one line in the plane that passes through a point not on L but never meets L. The phrase ‘Euclidean geometry’ refers both to the doctrine of geometry to be found in Euclid’s Elements (fourth century B.C.) and to the mathematical discipline that was built on this basis afterward. In order to present properties of rectilinear and curvilinear curves in the plane and solids in space, Euclid sought definitions, axioms, ethics, divine command Euclidean geometry 290 4065A-  AM  290 and postulates to ground the reasoning. Some of his assumptions belonged more to the underlying logic than to the geometry itself. Of the specifically geometrical axioms, the least self-evident stated that only one line passes through a point in a plane parallel to a non-coincident line within it, and many efforts were made to prove it from the other axioms. Notable forays were made by G. Saccheri, J. Playfair, and A. M. Legendre, among others, to put forward results logically contradictory to the parallel axiom (e.g., that the sum of the angles between the sides of a triangle is greater than 180°) and thus standing as candidates for falsehood; however, none of them led to paradox. Nor did logically equivalent axioms (such as that the angle sum equals 180°) seem to be more or less evident than the axiom itself. The next stages of this line of reasoning led to non-Euclidean geometry. From the point of view of logic and rigor, Euclid was thought to be an apotheosis of certainty in human knowledge; indeed, ‘Euclidean’ was also used to suggest certainty, without any particular concern with geometry. Ironically, investigations undertaken in the late nineteenth century showed that, quite apart from the question of the parallel axiom, Euclid’s system actually depended on more axioms than he had realized, and that filling all the gaps would be a formidable task. Pioneering work done especially by M. Pasch and G. Peano was brought to a climax in 1899 by Hilbert, who produced what was hoped to be a complete axiom system. (Even then the axiom of continuity had to wait for the second edition!) The endeavor had consequences beyond the Euclidean remit; it was an important example of the growth of axiomatization in mathematics as a whole, and it led Hilbert himself to see that questions like the consistency and completeness of a mathematical theory must be asked at another level, which he called metamathematics. It also gave his work a formalist character; he said that his axiomatic talk of points, lines, and planes could be of other objects. Within the Euclidean realm, attention has fallen in recent decades upon “neo-Euclidean” geometries, in which the parallel axiom is upheld but a different metric is proposed. For example, given a planar triangle ABC, the Euclidean distance between A and B is the hypotenuse AB; but the “rectangular distance” AC ! CB also satisfies the properties of a metric, and a geometry working with it is very useful in, e.g., economic geography, as anyone who drives around a city will readily understand.  NON-EUCLIDEAN GEOMETRY, PHILOSOPHY OF MATHEMATICS. I.G.-G. eudaimonia.ARISTOTLE, EUDAIMONISM. eudaimonism (from Greek eudaimonia, ‘happiness’, ‘flourishing’), the ethical doctrine that happiness is the ultimate justification for morality. The ancient Greek philosophers typically begin their ethical treatises with an account of happiness, and then argue that the best way to achieve a happy life is through the cultivation and exercise of virtue. Most of them make virtue or virtuous activity a constituent of the happy life; the Epicureans, however, construe happiness in terms of pleasure, and treat virtue as a means to the end of pleasant living. Ethical eudaimonism is sometimes combined with psychological eudaimonism – i.e., the view that all free, intentional action is aimed ultimately at the agent’s happiness. A common feature of ancient discussions of ethics, and one distinguishing them from most modern discussions, is the view that an agent would not be rationally justified in a course of action that promised less happiness than some alternative open to him. Hence it seems that most of the ancient theories are forms of egosim. But the ancient theories differ from modern versions of egoism since, according to the ancients, at least some of the virtues are dispositions to act from primarily other-regarding motives: although the agent’s happiness is the ultimate justification of virtuous action, it is not necessarily what motivates such action. Since happiness is regarded by most of the ancients as the ultimate end that justifies our actions, their ethical theories seem teleological; i.e., right or virtuous action is construed as action that contributes to or maximizes the good. But appearances are again misleading, for the ancients typically regard virtuous action as also valuable for its own sake and hence constitutive of the agent’s happiness.  EGOISM, ETHICS, HEDONISM, UTILITARIANISM. D.T.D. Eudoxus of Cnidus (c.408–c.355 B.C.), Greek astronomer and mathematician, a student of Plato. He created a test of the equality of two ratios, invented the method of exhaustion for calculating areas and volumes within curved boundaries, and introduced an astronomical system consisting of homocentric celestial spheres. This system views the visible universe as a set of twenty-seven spheres contained one inside the other and each concentric to the earth. Every celestial body is located on the equator of an ideal eudaimonia Eudoxus of Cnidus 291 4065A-  AM  291 sphere that revolves with uniform speed on its axis. The poles are embedded in the surface of another sphere, which also revolves uniformly around an axis inclined at a constant angle to that of the first sphere. In this way enough spheres are introduced to capture the apparent motions of all heavenly bodies. Aristotle adopted the system of homocentric spheres and provided a physical interpretation for it in his cosmology. R.E.B. Euler diagram, a logic diagram invented by the mathematician Euler that represents standard form statements in syllogistic logic by two circles and a syllogism by three circles. In modern adaptations of Euler diagrams, distributed terms are represented by complete circles and undistributed terms by partial circles (circle segments or circles made with dotted lines): Euler diagrams are more perspicuous ways of showing validity and invalidity of syllogisms than Venn diagrams, but less useful as a mechanical test of validity since there may be several choices of ways to represent a syllogism in Euler diagrams, only one of which will show that the syllogism is invalid.  SYLLOGISM, VENN DIAGRAM. R.P. Eurytus of Croton.PRE-SOCRATICS. euthanasia, broadly, the beneficent timing or negotiation of the death of a sick person; more narrowly, the killing of a human being on the grounds that he is better off dead. In an extended sense, the word ‘euthanasia’ is used to refer to the painless killing of non-human animals, in our interests at least as much as in theirs. Active euthanasia is the taking of steps to end a person’s – especially a patient’s – life. Passive euthanasia is the omission or termination of means of prolonging life, on the grounds that the person is better off without them. The distinction between active and passive euthanasia is a rough guide for applying the more fundamental distinction between intending the patient’s death and pursuing other goals, such as the relief of her pain, with the expectation that she will die sooner rather than later as a result. Voluntary euthanasia is euthanasia with the patient’s consent, or at his request. Involuntary euthanasia is euthanasia over the patient’s objections. Non-voluntary euthanasia is the killing of a person deemed incompetent with the consent of someone – say a parent – authorized to speak on his behalf. Since candidates for euthanasia are frequently in no condition to make major decisions, the question whether there is a difference between involuntary and non-voluntary euthanasia is of great importance. Few moralists hold that life must be prolonged whatever the cost. Traditional morality forbids directly intended euthanasia: human life belongs to God and may be taken only by him. The most important arguments for euthanasia are the pain and indignity suffered by those with incurable diseases, the burden imposed by persons unable to take part in normal human activities, and the supposed right of persons to dispose of their lives however they please. Non-theological arguments against euthanasia include the danger of expanding the principle of euthanasia to an everwidening range of persons and the opacity of death and its consequent incommensurability with life, so that we cannot safely judge that a person is better off dead.  BIOETHICS, ETHICS, INFORMED CONSENT. P.E.D. event, anything that happens; an occurrence. Two fundamental questions about events, which philosophers have usually treated together, are: (1) Are there events?, and (2) If so, what is their nature? Some philosophers simply assume that there are events. Others argue for that, typically through finding semantic theories for ordinary claims that apparently concern the fact that some agent has done something or that some thing has changed. Most philosophers presume that the events whose existence is proved by such arguments are abstract particulars, “particulars” in the sense that they are non-repeatable and spatially locatable, “abstract” in the sense that more than one event can occur simultaneously in the same place. The theories of events espoused by Davidson (in his causal view), Kim (though his view may be unstable in this respect), Jonathan Bennett, and Lawrence Lombard take them to be abstract particulars. However, Chisholm takes Euler diagram event 292 4065A-  AM  292 events to be abstract universals; and Quine and Davidson (in his later view) take them to be concrete particulars. Some philosophers who think of events as abstract particulars tend to associate the concept of an event with the concept of change; an event is a change in some object or other (though some philosophers have doubts about this and others have denied it outright). The time at which an event, construed as a particular, occurs can be associated with the (shortest) time at which the object, which is the subject of that event, changes from the having of one property to the having of another, contrary property. Events inherit whatever spatial locations they have from the spatial locations, if any, of the things that those events are changes in. Thus, an event that is a change in an object, x, from being F to being G, is located wherever x is at the time it changes from being F to being G. Some events are those of which another event is composed (e.g., the sinking of a ship seems composed of the sinkings of its parts). However, it also seems clear that not every group of events comprises another; there just is no event composed of a certain explosion on Venus and my birth. Any adequate theory about the nature of events must address the question of what properties, if any, such things have essentially. One issue is whether the causes (or effects) of events are essential to those events. A second is whether it is essential to each event that it be a change in the entity it is in fact a change in. A third is whether it is essential to each event that it occur at the time at which it in fact occurs. A chief component of a theory of events is a criterion of identity, a principle giving conditions necessary and sufficient for an event e and an event eH to be one and the same event. Quine holds that events may be identified with the temporal parts of physical objects, and that events and physical objects would thus share the same condition of identity: sameness of spatiotemporal location. Davidson once proposed that events are identical provided they have the same causes and effects. More recently, Davidson abandoned this position in favor of Quine’s. Kim takes an event to be the exemplification of a property (or relation) by an object (or objects) at a time. This idea has led to his view that an event e is the same as an event eH if and only if e and eH are the exemplifications of the same property by the same object(s) at the same time. Lombard’s view is a variation on this account, and is derived from the idea of events as the changes that physical objects undergo when they alter.  CAUSATION, DAVIDSON, METAPHYSICS, PERDURANCE, QUINE. L.B.L. event causation.CAUSATION. everlasting.DIVINE ATTRIBUTES. evidence, information bearing on the truth or falsity of a proposition. In philosophical discussions, a person’s evidence is generally taken to be all the information a person has, positive or negative, relevant to a proposition. The notion of evidence used in philosophy thus differs from the ordinary notion according to which physical objects, such as a strand of hair or a drop of blood, counts as evidence. One’s information about such objects could be evidence in the philosophical sense. The concept of evidence plays a central role in our understanding of knowledge and rationality. According to a traditional and widely held view, one has knowledge only when one has a true belief based on very strong evidence. Rational belief is belief based on adequate evidence, even if that evidence falls short of what is needed for knowledge. Many traditional philosophical debates, such as those about our knowledge of the external world, the rationality of religious belief, and the rational basis for moral judgments, are largely about whether the evidence we have in these areas is sufficient to yield knowledge or rational belief. The senses are a primary source of evidence. Thus, for most, if not all, of our beliefs, ultimately our evidence traces back to sensory experience. Other sources of evidence include memory and the testimony of others. Of course, both of these sources rely on the senses in one way or another. According to rationalist views, we can also get evidence for some propositions through mere reason or reflection, and so reason is an additional source of evidence. The evidence one has for a belief may be conclusive or inconclusive. Conclusive evidence is so strong as to rule out all possibility of error. The discussions of skepticism show clearly that we lack conclusive evidence for our beliefs about the external world, about the past, about other minds, and about nearly any other topic. Thus, an individual’s perceptual experiences provide only inconclusive evidence for beliefs about the external world since such experiences can be deceptive or hallucinatory. Inconclusive, or prima facie, evidence can always be defeated or event causation evidence 293 4065A-  AM  293 overridden by subsequently acquired evidence, as, e.g., when testimonial evidence in favor of a proposition is overridden by the evidence provided by subsequent experiences.  EPISTEMOLOGY, SKEPTICISM. R.Fe. evidence of the senses.EVIDENCE. evidentialism, in the philosophy of religion, the view that religious beliefs can be rationally accepted only if they are supported by one’s “total evidence,” understood to mean all the other propositions one knows or justifiably believes to be true. Evidentialists typically add that, in order to be rational, one’s degree of belief should be proportioned to the strength of the evidential support. Evidentialism was formulated by Locke as a weapon against the sectarians of his day and has since been used by Clifford (among many others) to attack religious belief in general. A milder form of evidentialism is found in Aquinas, who, unlike Clifford, thinks religion can meet the evidentialist challenge. A contrasting view is fideism, best understood as the claim that one’s fundamental religious convictions are not subject to independent rational assessment. A reason often given for this is that devotion to God should be one’s “ultimate concern,” and to subject faith to the judgment of reason is to place reason above God and make of it an idol. Proponents of fideism include Tertullian, Kierkegaard, Karl Barth, and some Wittgensteinians. A third view, which as yet lacks a generally accepted label, may be termed experientialism; it asserts that some religious beliefs are directly justified by religious experience. Experientialism differs from evidentialism in holding that religious beliefs can be rational without being supported by inferences from other beliefs one holds; thus theistic arguments are superfluous, whether or not there are any sound ones available. But experientialism is not fideism; it holds that religious beliefs may be directly grounded in religious experience wtihout the mediation of other beliefs, and may be rationally warranted on that account, just as perceptual beliefs are directly grounded in perceptual experience. Recent examples of experientialism are found in Plantinga’s “Reformed Epistemology,” which asserts that religious beliefs grounded in experience can be “properly basic,” and in the contention of Alston that in religious experience the subject may be “perceiving God.”  PHILOSOPHY OF RELIGION. W.Has. evidential reason.EPISTEMOLOGY. evil, moral.PHILOSOPHY OF RELIGION. evil, natural.PHILOSOPHY OF RELIGION. evil, problem of.PHILOSOPHY OF RELIGION. evolution.DARWINISM. evolutionary epistemology, a theory of knowledge inspired by and derived from the fact and processes of organic evolution (the term was coined by the social psychologist Donald Campbell). Most evolutionary epistemologists subscribe to the theory of evolution through natural selection, as presented by Darwin in the Origin of Species (1859). However, one does find variants, especially one based on some kind of neoLamarckism, where the inheritance of acquired characters is central (Spencer endorsed this view) and another based on some kind of jerky or “saltationary” evolutionism (Thomas Kuhn, at the end of The Structure of Scientific Revolutions, accepts this idea). There are two approaches to evolutionary epistemology. First, one can think of the transformation of organisms and the processes driving such change as an analogy for the growth of knowledge, particularly scientific knowledge. “Darwin’s bulldog,” T. H. Huxley, was one of the first to propose this idea. He argued that just as between organisms we have a struggle for existence, leading to the selection of the fittest, so between scientific ideas we have a struggle leading to a selection of the fittest. Notable exponents of this view today include Stephen Toulmin, who has worked through the analogy in some detail, and David Hull, who brings a sensitive sociological perspective to bear on the position. Karl Popper identifies with this form of evolutionary epistemology, arguing that the selection of ideas is his view of science as bold conjecture and rigorous attempt at refutation by another name. The problem with this analogical type of evolutionary epistemology lies in the disanalogy between the raw variants of biology (mutations), which are random, and the raw variants of science (new hypotheses), which are very rarely random. This difference probably accounts for the fact that whereas Darwinian evolution is not genuinely progressive, science is (or seems to be) the paradigm of a progressive enterprise. Because of this problem, a second set of epistemologists inspired by evolution insist that one must take the biology literally. This evidence of the senses evolutionary epistemology 294 4065A-  AM  294 group, which includes Darwin, who speculated in this way even in his earliest notebooks, claims that evolution predisposes us to think in certain fixed adaptive patterns. The laws of logic, e.g., as well as mathematics and the methodological dictates of science, have their foundations in the fact that those of our would-be ancestors who took them seriously survived and reproduced, and those that did not did not. No one claims that we have innate knowledge of the kind demolished by Locke. Rather, our thinking is channeled in certain directions by our biology. In an update of the biogenetic law, therefore, one might say that whereas a claim like 5 ! 7 % 12 is phylogenetically a posteriori, it is ontogenetically a priori. A major division in this school is between the continental evolutionists, most notably the late Konrad Lorenz, and the Anglo-Saxon supporters, e.g. Michael Ruse. The former think that their evolutionary epistemology simply updates the critical philosophy of Kant, and that biology both explains the necessity of the synthetic a priori and makes reasonable belief in the thing-in-itself. The latter deny that one can ever get that necessity, certainly not from biology, or that evolution makes reasonable a belief in an objectively real world, independent of our knowing. Historically, these epistemologists look to Hume and in some respects to the American pragmatists, especially William James. Today, they acknowledge a strong family resemblance to such naturalized epistemologists as Quine, who has endorsed a kind of evolutionary epistemology. Critics of this position, e.g. Philip Kitcher, usually strike at what they see as the soft scientific underbelly. They argue that the belief that the mind is constructed according to various innate adaptive channels is without warrant. It is but one more manifestation of today’s Darwinians illicitly seeing adaptation everywhere. It is better and more reasonable to think knowledge is rooted in culture, if it is person-dependent at all. A mark of a good philosophy, like a good science, is that it opens up new avenues for research. Although evolutionary epistemology is not favored by conventional philosophers, who sneer at the crudities of its (frequently nonphilosophically trained) proselytizers, its supporters feel convinced that they are contributing to a forward-moving philosophical research program. As evolutionists, they are used to things taking time to succeed.  DARWINISM, EPISTEMOLOGY, PHILOSOPHY OF BIOLOGY, SOCIAL BIOLOGY. M.Ru. evolutionary ethics.PHILOSOPHY OF BIOLOGY. evolutionary psychology, the subfield of psychology that explains human behavior and cultural arrangements by employing evolutionary biology and cognitive psychology to discover, catalog, and analyze psychological mechanisms. Human minds allegedly possess many innate, special-purpose, domain-specific psychological mechanisms (modules) whose development requires minimal input and whose operations are context-sensitive, mostly automatic, and independent of one another and of general intelligence. (Disagreements persist about the functional isolation and innateness of these modules.) Some evolutionary psychologists compare the mind – with its specialized modules – to a Swiss army knife. Different modules substantially constrain behavior and cognition associated with language, sociality, face recognition, and so on. Evolutionary psychologists emphasize that psychological phenomena reflect the influence of biological evolution. These modules and associated behavior patterns assumed their forms during the Pleistocene. An evolutionary perspective identifies adaptive problems and features of the Pleistocene environment that constrained possible solutions. Adaptive problems often have cognitive dimensions. For example, an evolutionary imperative to aid kin presumes the ability to detect kin. Evolutionary psychologists propose models to meet the requisite cognitive demands. Plausible models should produce adaptive behaviors and avoid maladaptive ones – e.g., generating too many false positives when identifying kin. Experimental psychological evidence and social scientific field observations aid assessment of these proposals. These modules have changed little. Modern humans manage with primitive hunter-gatherers’ cognitive equipment amid the rapid cultural change that equipment produces. The pace of that change outstrips the ability of biological evolution to keep up. Evolutionary psychologists hold, consequently, that: (1) contrary to sociobiology, which appeals to biological evolution directly, exclusively evolutionary explanations of human behavior will not suffice; (2) contrary to theories of cultural evolution, which appeal to biological evolution analogically, it is at least possible that no cultural arrangement has ever been adaptive; and (3) contrary to social scientists, who appeal to some general conception of learning or socialization to explain cultural transmission, specialized psychological evolutionary ethics evolutionary psychology 295 4065A-  AM  295 mechanisms contribute substantially to that process.  COGNITIVE SCIENCE, DARWINISM, MODULARITY, PHILOSOPHY OF THE SOCIAL SCIENCES, SOCIAL BIOLOGY. R.N.Mc. exact similarity.IDENTITY. examination, paradox of the.UNEXPECTED EXAMINATION PARADOX. exciting reason.HUTCHESON. excluded middle, principle of.PRINCIPLE OF EXCLUDED MIDDLE. exclusionary reason.JURISPRUDENCE. exclusive disjunction.DISJUNCTIVE PROPOSITION. excuse.JUSTIFICATION. exemplarism.BONAVENTURE. exemplification.CONCEPTUALISM. existence.SUBSISTENCE. existence, ‘is’ of.IS. existential.HEIDEGGER. existential generalization, a rule of inference admissible in classical quantification theory. It allows one to infer an existentially quantified statement DxA from any instance A (a/x) of it. (Intuitively, it allows one to infer ‘There exists a liar’ from ‘Epimenides is a liar’.) It is equivalent to universal instantiation – the rule that allows one to infer any instance A (a/x) of a universally quantified statement ExA from ExA. (Intuitively, it allows one to infer ‘My car is valuable’ from ‘Everything is valuable’.) Both rules can also have equivalent formulations as axioms; then they are called specification (ExA / A (a/x)) and particularization ((A(a/x) / DxA)). All of these equivalent principles are denied by free logic, which only admits weakened versions of them. In the case of existential generalization, the weakened version is: infer DxA from A(a/x) & E!a. (Intuitively: infer ‘There exists a liar’ from ‘Epimenides is a liar and Epimenides exists’.)  EXISTENTIAL INSTANTIATION, FORMAL LOGIC, FREE LOGIC, UNIVERSAL INSTANTIATION. E.Ben. existential graph.PEIRCE. existential import, a commitment to the existence of something implied by a sentence, statement, or proposition. For example, in Aristotelian logic (though not in modern quantification theory), any sentence of the form ‘All F’s are G’s’ implies ‘There is an F that is a G’ and is thus said to have as existential import a commitment to the existence of an F that is a G. According to Russell’s theory of descriptions, sentences containing definite descriptions can likewise have existential import since ‘The F is a G’ implies ‘There is an F’. The presence of singular terms is also often claimed to give rise to existential commitment. Underlying this notion of existential import is the idea – long stressed by W. V. Quine – that ontological commitment is measured by existential sentences (statements, propositions) of the form (Dv) f.  ONTOLOGICAL COMMITMENT. G.F.S. existential instantiation, a rule of inference admissible in classical quantification theory. It allows one to infer a statement A from an existentially quantified statement DxB if A can be inferred from an instance B(a/x) of DxB, provided that a does not occur in either A or B or any other premise of the argument (if there are any). (Intuitively, it allows one to infer a contradiction C from ‘There exists a highest prime’ if C can be inferred from ‘a is a highest prime’ and a does not occur in C.) Free logic allows for a stronger form of this rule: with the same provisions as above, A can be inferred from DxB if it can be inferred from B(a/x) & E!a. (Intuitively, it is enough to infer ‘There is a highest natural number’ from ‘a is a highest prime and a exists’.)  FORMAL LOGIC, FREE LOGIC. E.Ben. existentialism, a philosophical and literary movement that came to prominence in Europe, particularly in France, immediately after World War II, and that focused on the uniqueness of each human individual as distinguished from abstract universal human qualities. Historians differ as to antecedents. Some see an existentialist precursor in Pascal, whose aphoristically expressed Catholic fideism questioned the power of rationalist thought and preferred the God of Scripture to the abstract “God of the philosophers.” Many agree that Kierkegaard, whose fundamentally similar but Protestant fideism was based on a profound unwillingness to situate either God or any individual’s relationship with God within a systematic philosophy, as Hegel had done, should be exact similarity existentialism 296 4065A-  AM  296 considered the first modern existentialist, though he too lived long before the term emerged. Others find a proto-existentialist in Nietzsche, because of the aphoristic and anti-systematic nature of his writings, and on the literary side, in Dostoevsky. (A number of twentiethcentury novelists, such as Franz Kafka, have been labeled existentialists.) A strong existentialist strain is to be found in certain other theist philosophers who have written since Kierkegaard, such as Lequier, Berdyaev, Marcel, Jaspers, and Buber, but Marcel later decided to reject the label ‘existentialist’, which he had previously employed. This reflects its increasing identification with the atheistic existentialism of Sartre, whose successes, as in the novel Nausea, and the philosophical work Being and Nothingness, did most to popularize the word. A mass-audience lecture, “Existentialism Is a Humanism,” which Sartre (to his later regret) allowed to be published, provided the occasion for Heidegger, whose early thought had greatly influenced Sartre’s evolution, to take his distance from Sartre’s existentialism, in particular for its self-conscious concentration on human reality over Being. Heidegger’s Letter on Humanism, written in reply to a French admirer, signals an important turn in his thinking. Nevertheless, many historians continue to classify Heidegger as an existentialist – quite reasonably, given his early emphasis on existential categories and ideas such as anxiety in the presence of death, our sense of being “thrown” into existence, and our temptation to choose anonymity over authenticity in our conduct. This illustrates the difficulty of fixing the term ‘existentialism’. Other French thinkers of the time, all acquaintances of Sartre’s, who are often classified as existentialists, are Camus, Simone de Beauvoir, and, though with less reason, Merleau-Ponty. Camus’s novels, such as The Stranger and The Plague, are cited along with Nausea as epitomizing the uniqueness of the existentialist antihero who acts out of authenticity, i.e., in freedom from any conventional expectations about what so-called human nature (a concept rejected by Sartre) supposedly requires in a given situation, and with a sense of personal responsibility and absolute lucidity that precludes the “bad faith” or lying to oneself that characterizes most conventional human behavior. Good scholarship prescribes caution, however, about superimposing too many Sartrean categories on Camus. In fact the latter, in his brief philosophical essays, notably The Myth of Sisyphus, distinguishes existentialist writers and philosophers, such as Kierkegaard, from absurdist thinkers and heroes, whom he regards more highly, and of whom the mythical Sisyphus (condemned eternally by the gods to roll a huge boulder up a hill before being forced, just before reaching the summit, to start anew) is the epitome. Camus focuses on the concept of the absurd, which Kierkegaard had used to characterize the object of his religious faith (an incarnate God). But for Camus existential absurdity lies in the fact, as he sees it, that there is always at best an imperfect fit between human reasoning and its intended objects, hence an impossibility of achieving certitude. Kierkegaard’s leap of faith is, for Camus, one more pseudo-solution to this hard, absurdist reality. Almost alone among those named besides Sartre (who himself concentrated more on social and political thought and became indebted to Marxism in his later years), Simone de Beauvoir (1908–86) unqualifiedly accepted the existentialist label. In The Ethics of Ambiguity, she attempted, using categories familiar in Sartre, to produce an existentialist ethics based on the recognition of radical human freedom as “projected” toward an open future, the rejection of inauthenticity, and a condemnation of the “spirit of seriousness” (akin to the “spirit of gravity” criticized by Nietzsche) whereby individuals identify themselves wholly with certain fixed qualities, values, tenets, or prejudices. Her feminist masterpiece, The Second Sex, relies heavily on the distinction, part existentialist and part Hegelian in inspiration, between a life of immanence, or passive acceptance of the role into which one has been socialized, and one of transcendence, actively and freely testing one’s possibilities with a view to redefining one’s future. Historically, women have been consigned to the sphere of immanence, says de Beauvoir, but in fact a woman in the traditional sense is not something that one is made, without appeal, but rather something that one becomes. The Sartrean ontology of Being and Nothingness, according to which there are two fundamental asymmetrical “regions of being,” being-in-itself and being-for-itself, the latter having no definable essence and hence, as “nothing” in itself, serving as the ground for freedom, creativity, and action, serves well as a theoretical framework for an existentialist approach to human existence. (Being and Nothingness also names a third ontological region, being-for-others, but that may be disregarded here.) However, it would be a mistake to treat even Sartre’s existentialist insights, much less those of others, as dependent on this ontology, to which he himself made little direct existentialism existentialism 297 4065A-  AM  297 reference in his later works. Rather, it is the implications of the common central claim that we human beings exist without justification (hence “absurdly”) in a world into which we are “thrown,” condemned to assume full responsibility for our free actions and for the very values according to which we act, that make existentialism a continuing philosophical challenge, particularly to ethicists who believe right choices to be dictated by our alleged human essence or nature.  CAMUS, EVIDENTIALISM, HEIDEGGER, KIERKEGAARD, SARTRE. W.L.M. existential polarity.POLARITY. existential proposition.EXISTENTIAL IMPORT. existential quantifier.FORMAL LOGIC. Existenz philosophy.JASPERS. ex nihilo.CREATION EX NIHILO. expected return.SAINT PETERSBURG PARADOX. expected utility.NEWCOMB’s PARADOX, SAINT PETERSBURG PARADOX. experientialism.EVIDENTIALISM. experimentum crusis.CRUCIAL EXPERIMENT. explaining reason.REASONS FOR ACTION, REASONS FOR BELIEF. explanandum.EXPLANATION. explanans.EXPLANATION. explanation, an act of making something intelligible or understandable, as when we explain an event by showing why or how it occurred. Just about anything can be the object of explanation: a concept, a rule, the meaning of a word, the point of a chess move, the structure of a novel. However, there are two sorts of things whose explanation has been intensively discussed in philosophy: events and human actions. Individual events, say the collapse of a bridge, are usually explained by specifying their cause: the bridge collapsed because of the pressure of the flood water and its weakened structure. This is an example of causal explanation. There usually are indefinitely many causal factors responsible for the occurrence of an event, and the choice of a particular factor as “the cause” appears to depend primarily on contextual considerations. Thus, one explanation of an automobile accident may cite the icy road condition; another the inexperienced driver; and still another the defective brakes. Context may determine which of these and other possible explanations is the appropriate one. These explanations of why an event occurred are sometimes contrasted with explanations of how an event occurred. A “how” explanation of an event consists in an informative description of the process that has led to the occurrence of the event, and such descriptions are likely to involve descriptions of causal processes. The covering law model is an influential attempt to represent the general form of such explanations: an explanation of an event consists in “subsuming,” or “covering,” it under a law. When the covering law is deterministic, the explanation is thought to take the form of a deductive argument: a statement – the explanandum – describing the event to be explained is logically derived from the explanans – the law together with statements of antecedent conditions. Thus, we might explain why a given rod expanded by offering this argument: ‘All metals expand when heated; this rod is metallic and it was heated; therefore, it expanded’. Such an explanation is called a deductive-nomological explanation. On the other hand, probabilistic or statistical laws are thought to yield statistical explanations of individual events. Thus, the explanation of the contraction of a contagious disease on the basis of exposure to a patient with the disease may take the form of a statistical explanation. Details of the statistical model have been a matter of much controversy. It is sometimes claimed that although explanations, whether in ordinary life or in the sciences, seldom conform fully to the covering law model, the model nevertheless represents an ideal that all explanations must strive to attain. The covering law model, though influential, is not universally accepted. Human actions are often explained by being “rationalized’ – i.e., by citing the agent’s beliefs and desires (and other “intentional” mental states such as emotions, hopes, and expectations) that constitute a reason for doing what was done. You opened the window because you wanted some fresh air and believed that by opening the window you could secure this result. It has been a controversial issue whether such rationalizing explanations are causal; i.e., whether they invoke beliefs and desires as a cause of the action. Another issue is whether existential polarity explanation 298 4065A-  AM  298 these “rationalizing” explanations must conform to the covering law model, and if so, what laws might underwrite such explanations.  CAUSATION, COVERING LAW MODEL, PHILOSOPHY OF SCIENCE. J.K. explanation, covering law.
COVERING LAW MODEL. explanation, deductive.COVERING LAW MODEL. explanation, inductive.COVERING LAW MODEL. explanation, purposive.PHILOSOPHY OF MIND. explanation, subsumption theory of.COVERING LAW MODEL. explanation, teleological.TELEOLOGY. explanatory emergence.METHODOLOGICAL HOLISM. explanatory reductionism.METHODOLOGICAL HOLISM. explicit definition.BETH’s DEFINABILITY THEOREM, DEFINITION. exponible. In medieval logic, exponible propositions were those that needed to be expounded, i.e., elaborated in order to make clear their true logical form. A modern example might be: ‘Giorgione was so called because of his size’, which has a misleading form, suggesting a simple predication, whereas it really means, ‘Giorgione was called “Giorgione” because of his size’. Medieval examples were: ‘Every man except Socrates is running’, expounded as ‘Socrates is not running and every man other than Socrates is running’; and ‘Only Socrates says something true’, uttered by, say, Plato, which Albert of Saxony claims should be expounded not only as ‘Socrates says something true and no one other than Socrates says something true’, but needs a third clause, ‘Plato says something false’. This last example brings out an important aspect of exponible propositions, namely, their use in sophisms. Sophismatic treatises were a common medieval genre in which metaphysical and logical issues were approached dialectically by their application in solving puzzle cases. Another important ingredient of exponible propositions was their containing a particular term, sometimes called the exponible term; attention on such terms was focused in the study of syncategorematic expressions, especially in the thirteenth century. However, note that such exponible terms could only be expounded in context, not by an explicit definition. Syncategorematic terms that produced exponible propositions were terms such as ‘twice’, ‘except’, ‘begins’ and ‘ceases’, and ‘insofar as’ (e.g. ‘Socrates insofar as he is rational is risible’).  SYNCATEGOREMATA. S.L.R. exportation (1) In classical logic, the principle that (A 8 B) / C is logically equivalent to A / (B / C). (2) The principle ((A 8 B) P C) P (A P (B P C)), which relevance logicians hold to be fallacious when ‘P’ is read as ‘entails’. (3) In discussions of propositional attitude verbs, the principle that from ‘a Vs that b is a(n) f’ one may infer ‘a Vs f-hood of b’, where V has its relational (transparent) sense. For example, exportation (in sense 3) takes one from ‘Ralph believes that Ortcutt is a spy’ to ‘Ralph believes spyhood of Ortcutt’, wherein ‘Ortcutt’ can now be replaced by a bound variable to yield ‘(Dx) (Ralph believes spyhood of x)’.  
QUANTIFYING IN, RELEVANCE LOGIC. G.F.S. expressibility logicism.LOGICISM. expressionism.EXPRESSION THEORY OF ART. expression theory of art, a theory that defines art as the expression of feelings or emotion (sometimes called expressionism in art). Such theories first acquired major importance in the nineteenth century in connection with the rise of Romanticism. Expression theories are as various as the different views about what counts as expressing emotion. There are four main variants. (1) Expression as communication. This requires that the artist actually have the feelings that are expressed, when they are initially expressed. They are “embodied” in some external form, and thereby transmitted to the perceiver. Leo Tolstoy (1828–1910) held a view of this sort. (2) Expression as intuition. An intuition is the apprehension of the unity and individuality of something. An intuition is “in the mind,” and hence the artwork is also. Croce held this view, and in his later work argued that the unity of an intuition is established by feeling. (3) Expression as clarification. An artist starts out with vague, undefined feelings, and expression is a process of coming to clarify, articulate, and understand them. This view retains Croce’s idea that expression is in the artist’s mind, as well as explanation, covering law expression theory of art 299 4065A-  AM  299 his view that we are all artists to the degree that we articulate, clarify, and come to understand our own feelings. Collingwood held this view. (4) Expression as a property of the object. For an artwork to be an expression of emotion is for it to have a given structure or form. Suzanne K. Langer (1895–1985) argued that music and the other arts “presented” or exhibited structures or forms of feeling in general.  AESTHETICS, INSTITUTIONAL THEORY OF ART. S.L.F. expressive completeness.COMPLETENESS. expressive meaning.MEANING. extension.INTENSION. extensionalism, a family of ontologies and semantic theories restricted to existent entities. Extensionalist ontology denies that the domain of any true theory needs to include non-existents, such as fictional, imaginary, and impossible objects like Pegasus the winged horse or round squares. Extensionalist semantics reduces meaning and truth to set-theoretical relations between terms in a language and the existent objects, standardly spatiotemporal and abstract entities, that belong to the term’s extension. The extension of a name is the particular existent denoted by the name; the extension of a predicate is the set of existent objects that have the property represented by the predicate. The sentence ‘All whales are mammals’ is true in extensionalist semantics provided there are no whales that are not mammals, no existent objects in the extension of the predicate ‘whale’ that are not also in the extension of ‘mammal’. Linguistic contexts are extensional if: (i) they make reference only to existent objects; (ii) they support substitution of codesignative terms (referring to the same thing), or of logically equivalent propositions, salva veritate (without loss of truthvalue); and (iii) it is logically valid to existentially quantify (conclude that There exists an object such that . . . etc.) objects referred to within the context. Contexts that do not meet these requirements are intensional, non-extensional, or referentially opaque. The implications of extensionalism, associated with the work of Frege, Russell, Quine, and mainstream analytic philosophy, are to limit its explanations of mind and meaning to existent objects and material-mechanical properties and relations describable in an exclusively extensional idiom. Extensionalist semantics must try to analyze away apparent references to nonexistent objects, or, as in Russell’s extensionalist theory of definite descriptions, to classify all such predications as false. Extensionalist ontology in the philosophy of mind must eliminate or reduce propositional attitudes or de dicto mental states, expressed in an intensional idiom, such as ‘believes that ————’, ‘fears that ————’, and the like, usually in favor of extensional characterizations of neurophysiological states. Whether extensionalist philosophy can satisfy these explanatory obligations, as the thesis of extensionality maintains, is controversial.  ABSTRACT ENTITY, INTENSIONALITY, PHILOSOPHY OF LANGUAGE, RUSSELL,
THEORY OF DESCRIPTIONS, TRUTH. D.J. extensionality, axiom of.SET THEORY. extensionality thesis.EXTENSIONALISM. extensive abstraction.WHITEHEAD. extensive magnitude.MAGNITUDE. externalism, the view that there are objective reasons for action that are not dependent on the agent’s desires, and in that sense external to the agent. Internalism (about reasons) is the view that reasons for action must be internal in the sense that they are grounded in motivational facts about the agent, e.g. her desires and goals. Classic internalists such as Hume deny that there are objective reasons for action. For instance, whether the fact that an action would promote health is a reason to do it depends on whether one has a desire to be healthy. It may be a reason for some and not for others. The doctrine is hence a version of relativism; a fact is a reason only insofar as it is so connected to an agent’s psychological states that it can motivate the agent. By contrast, externalists hold that not all reasons depend on the internal states of particular agents. Thus an externalist could hold that promoting health is objectively good and that the fact that an action would promote one’s health is a reason to perform it regardless of whether one desires health. This dispute is closely tied to the debate over motivational internalism, which may be conceived as the view that moral beliefs (for instance) are, by virtue of entailing motivation, internal reasons for action. Those who reject motivational internalism must either deny that expressive completeness externalism 300 4065A-  AM  300 (sound) moral beliefs always provide reasons for action or hold that they provide external reasons.  ETHICS, MOTIVATIONAL INTERNALISM, RELATIVISM. W.T. externalism, content.
PHILOSOPHY OF MIND. externalism, epistemological.EPISTEMOLOGY. externalism, motivational.MOTIVATIONAL INTERNALISM. external negation.NEGATION. external reason.EXTERNALISM. external relation.RELATION. exteroception.PERCEPTION. extrasensory perception.PARAPSYCHOLOGY. extrinsic desire, a desire of something for its conduciveness to something else that one desires. Extrinsic desires are distinguished from intrinsic desires, desires of items for their own sake, or as ends. Thus, an individual might desire financial security extrinsically, as a means to her happiness, and desire happiness intrinsically, as an end. Some desires are mixed: their objects are desired both for themselves and for their conduciveness to something else. Jacques may desire to jog, e.g., both for its own sake (as an end) and for the sake of his health. A desire is strictly intrinsic if and only if its object is desired for itself alone. A desire is strictly extrinsic if and only if its object is not desired, even partly, for its own sake. (Desires for “good news” – e.g., a desire to hear that one’s child has survived a car accident – are sometimes classified as extrinsic desires, even if the information is desired only because of what it indicates and not for any instrumental value that it may have.) Desires of each kind help to explain action. Owing partly to a mixed desire to entertain a friend, Martha might acquire a variety of extrinsic desires for actions conducive to that goal. Less happily, intrinsically desiring to be rid of his toothache, George might extrinsically desire to schedule a dental appointment. If all goes well for Martha and George, their desires will be satisfied, and that will be due in part to the effects of the desires upon their behavior.  ACTION THEORY, INTENTION, MOTIVATIONAL EXPLANATION, VALUE. A.R.M. extrinsic property.RELATION. extrinsic relation.RELATION. externalism, content extrinsic relation 301 4065A-  AM  301 fa, Chinese term for (1) a standard, model, paradigm, or exemplar; (2) proper procedure, behavior, or technique; (3) a rule or law; (4) dharma. A mental image (yi) of a circle, a compass, and a particular circle can each serve as a fa for identifying circles. The sage-kings, their institutions, and their behavior are all fa for rulers to emulate. Methods of governing (e.g., by reward and punishment) are fa. Explicit laws or bureaucratic rules are also fa. (See Mo Tzu, “Dialectical Chapters,” and Kuan Tzu, chapter 6, “Seven Standards.”) After the introduction of Buddhism to China, fa is used to translate ‘dharma’.  BUDDHISM, DHARMA, MO TZU. B.W.V.N. fa-chia.
CHINESE LEGALISM. fact.STATE OF AFFAIRS. facticity.HEIDEGGER, SARTRE. factual content.ANALYTIC–SYNTHETIC DISTINCTION. fact–value distinction, the apparently fundamental difference between how things are and how they should be. That people obey the law (or act honestly or desire money) is one thing; that they should is quite another. The first is a matter of fact, the second a matter of value. Hume is usually credited with drawing the distinction when he noticed that one cannot uncontroversially infer an ‘ought’ from an ‘is’ (the is–ought gap). From the fact, say, that an action would maximize overall happiness, we cannot legitimately infer that it ought to be done – without the introduction of some (so far suppressed) evaluative premise. We could secure the inference by assuming that one ought always to do what maximizes overall happiness. But that assumption is evidently evaluative. And any other premise that might link the non-evaluative premises to an evaluative conclusion would look equally evaluative. No matter how detailed and extensive the non-evaluative premises, it seems no evaluative conclusion follows (directly and as a matter of logic). Some have replied that at least a few non-evaluative claims do entail evaluative ones. To take one popular example, from the fact that some promise was made, we might (it appears) legitimately infer that it ought to be kept, other things equal – and this without the introduction of an evaluative premise. Yet many argue that the inference fails, or that the premise is actually evaluative, or that the conclusion is not. Hume himself was both bold and brief about the gap’s significance, claiming simply that paying attention to it “wou’d subvert all the vulgar systems of morality, and let us see, that the distinction of vice and virtue is not founded merely on the relations of objects, nor is perceiv’d by reason” (Treatise of Human Nature). Others have been more expansive. Moore, for instance, in effect relied upon the gap to establish (via the open question argument) that any attempt to define evaluative terms using non-evaluative ones would commit the naturalistic fallacy. Moore’s main target was the suggestion that ‘good’ means “pleasant” and the fallacy, in this context, is supposed to be misidentifying an evaluative property, being good, with a natural property, being pleasant. Assuming that evaluative terms have meaning, Moore held that some could be defined using others (he thought, e.g., that ‘right’ could be defined as “productive of the greatest possible good”) and that the rest, though meaningful, must be indefinable terms denoting simple, non-natural, properties. Accepting Moore’s use of the open question argument but rejecting both his non-naturalism and his assumption that evaluative terms must have (descriptive) meaning, emotivists and prescriptivists (e.g. Ayer, C. L. Stevenson, and Hare) argued that evaluative terms have a role in language other than to denote properties. According to them, the primary role of evaluative language is not to describe, but to prescribe. The logical gap between ‘is’ and ‘ought’, they argue, establishes both the difference between fact and value and the difference between describing (how things are) and recommending (how they might be). Some naturalists, though, acknowledge the gap and yet maintain that the evaluative claims nonetheless do refer to natural properties. In the process they deny the ontological force of the open question argument and 302 F 4065A-  AM  302 treat evaluative claims as describing a special class of facts.  ETHICS, MOORE, MORAL REALISM. G.S.-M. faculty psychology, the view that the mind is a collection of departments responsible for distinct psychological functions. Related to faculty psychology is the doctrine of localization of function, wherein each faculty has a specific brain location. Faculty psychologies oppose theories of mind as a unity with one function (e.g., those of Descartes and associationism) or as a unity with various capabilities (e.g., that of Ockham), and oppose the related holistic distributionist or mass-action theory of the brain. Faculty psychology began with Aristotle, who divided the human soul into five special senses, three inner senses (common sense, imagination, memory) and active and passive mind. In the Middle Ages (e.g., Aquinas) Aristotle’s three inner senses were subdivied, creating more elaborate lists of five to seven inward wits. Islamic physicianphilosophers such as Avicenna integrated Aristotelian faculty psychology with Galenic medicine by proposing brain locations for the faculties. Two important developments in faculty psychology occurred during the eighteenth century. First, Scottish philosophers led by Reid developed a version of faculty psychology opposed to the empiricist and associationist psychologies of Locke and Hume. The Scots proposed that humans were endowed by God with a set of faculties permitting knowledge of the world and morality. The Scottish system exerted considerable influence in the United States, where it was widely taught as a moral, character-building discipline, and in the nineteenth century this “Old Psychology” opposed the experimental “New Psychology.” Second, despite then being called a charlatan, Franz Joseph Gall (1758–1828) laid the foundation for modern neuropsychology in his work on localization of function. Gall rejected existing faculty psychologies as philosophical, unbiological, and incapable of accounting for everyday behavior. Gall proposed an innovative behavioral and biological list of faculties and brain localizations based on comparative anatomy, behavior study, and measurements of the human skull. Today, faculty psychology survives in trait and instinct theories of personality, Fodor’s theory that mental functions are implemented by neurologically “encapsulated” organs, and localizationist theories of the brain.  ARISTOTLE, PHILOSOPHY OF MIND, PHILOSOPHY OF PSYCHOLOGY. T.H.L. faith.BAD FAITH, PHILOSOPHY OF RELIGION. fallacy.FORMAL FALLACY, INFORMAL FALLACY. fallacy of accent.INFORMAL FALLACY. fallacy of accident.INFORMAL FALLACY. fallacy of affirming the consequent.FORMAL FALLACY. fallacy of composition.INFORMAL FALLACY. fallacy of denying the antecedent.FORMAL FALLACY. fallacy of division.INFORMAL FALLACY. fallacy of equivocation.INFORMAL FALLACY. fallacy of false cause.INFORMAL FALLACY. fallacy of four terms.SYLLOGISM. fallacy of hasty generalization.INFORMAL FALLACY. fallacy of irrelevant conclusion.INFORMAL FALLACY. fallacy of many questions.INFORMAL FALLACY. fallacy of misplaced concreteness.
WHITEHEAD. fallacy of secundum quid.INFORMAL FALLACY. fallibilism, the doctrine, relative to some significant class of beliefs or propositions, that they are inherently uncertain and possibly mistaken. The most extreme form of the doctrine attributes uncertainty to every belief; more restricted forms attribute it to all empirical beliefs or to beliefs concerning the past, the future, other minds, or the external world. Most contemporary philosophers reject the doctrine in its extreme form, holding that beliefs about such things as elementary logical principles and the character of one’s current feelings cannot possibly be mistaken. Philosophers who reject fallibilism in some form generally insist that certain beliefs are analytically true, self-evident, or intuitively obvious. These means of supporting the infallibility of faculty psychology fallibilism 303 4065A-  AM  303 some beliefs are now generally discredited. W. V. Quine has cast serious doubt on the very notion of analytic truth, and the appeal to self-evidence or intuitive obviousness is open to the charge that those who officially accept it do not always agree on what is thus evident or obvious (there is no objective way of identifying it), and that beliefs said to be self-evident have sometimes been proved false, the causal principle and the axiom of abstraction (in set theory) being striking examples. In addition to emphasizing the evolution of logical and mathematical principles, fallibilists have supported their position mainly by arguing that the existence and nature of mind-independent objects can legitimately be ascertained only be experimental methods and that such methods can yield conclusions that are, at best, probable rather than certain. B.A. false cause, fallacy of.INFORMAL FALLACY. false consciousness, (1) lack of clear awareness of the source and significance of one’s beliefs and attitudes concerning society, religion, or values; (2) objectionable forms of ignorance and false belief; (3) dishonest forms of self-deception. Marxists (if not Marx) use the expression to explain and condemn illusions generated by unfair economic relationships. Thus, workers who are unaware of their alienation, and “happy homemakers” who only dimly sense their dependency and quiet desperation, are molded in their attitudes by economic power relationships that make the status quo seem natural, thereby eclipsing their long-term best interests. Again, religion is construed as an economically driven ideology that functions as an “opiate” blocking clear awareness of human needs. Collingwood interprets false consciousness as self-corrupting untruthfulness in disowning one’s emotions and ideas (The Principles of Art, 1938).  BAD FAITH, EXISTENTIALISM. M.W.M. false dilemma.DILEMMA. false pleasure, pleasure taken in something false. If it is false that Jones is honest, but Smith believes Jones is honest and is pleased that Jones is honest, then Smith’s pleasure is false. If pleasure is construed as an intentional attitude, then the truth or falsity of a pleasure is a function of whether its intentional object obtains. On this view, S’s being pleased that p is a true pleasure if an only if S is pleased that p and p is true. S’s being pleased that p is a false pleasure if and only if S is pleased that p and p is false. Alternatively, Plato uses the expression ‘false pleasure’ to refer to things such as the cessation of pain or neutral states that are neither pleasant nor painful that a subject confuses with genuine or true pleasures. Thus, being released from tight shackles might mistakenly be thought pleasant when it is merely the cessation of a pain.  HEDONISM, VALUE. N.M.L. falsifiability.POPPER, TESTABILITY. falsification.POPPER. falsum.Appendix of Special Symbols. family resemblance.WITTGENSTEIN. Fang, Thomé H. (1899–1976), Chinese philosopher of culture. Educated at the University of Nanking and the University of Wisconsin, he had an early interest in Dewey’s pragmatism, but returned to the ideals of Chinese philosophy during World War II. He had a grand philosophical scheme, always discussing issues from a comparative viewpoint through perspectives of ancient Greek, modern European, Chinese, and Indian thought. He exerted a profound influence on younger philosophers in Taiwan after 1949.  CHINESE PHILOSOPHY. S.-h.L. Farabi, al-.AL-FARABI. fascism.POLITICAL PHILOSOPHY. fatalism.FREE WILL PROBLEM. feature-placing discourse.
STRAWSON. Fechner, Gustav Theodor (1801–87), German physicist and philosopher whose Elemente der Psychophysik (1860; English translation, 1966) inaugurated experimental psychology. Obsessed with the mind–body problem, Fechner advanced an identity theory in which every object is both mental and physical, and in support invented psychophysics – the “exact science of the functional relations . . . between mind and body.” Fechner began with the concept of the limen, or sensory threshold. The absolute threshold is the stimulus strength (R, Reiz) needed to create a conscious sensation (S), and the relative threshold is the strength that must be added to a stimulus for a just noticeable difference (jnd) to be perceived. E. H. Weber (1795–1878) had shown that a constant ratio held between relative threshold and false cause, fallacy of Fechner, Gustav Theodor 304 4065A-  AM  304 stimulus magnitude, Weber’s law: DR/R % k. By experimentally determining jnd’s for pairs of stimulus magnitudes (such as weights), Fechner formulated his “functional relation,” S % k log R, Fechner’s law, an identity equation of mind and matter. Later psychophysicists replaced it with a power law, R % kSn, where n depends on the kind of stimulus. The importance of psychophysics to psychology consisted in its showing that quantification of experience was possible, and its providing a general paradigm for psychological experimentation in which controlled stimulus conditions are systematically varied and effects observed. In his later years, Fechner brought the experimental method to bear on aesthetics (Vorschule der Aesthetik, 1876). T.H.L. Fechner’s law.FECHNER. feedback.CYBERNETICS. feedforward.CYBERNETICS. felicific calculus.BENTHAM. felicity conditions.

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