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Wednesday, May 20, 2020

A Companion to Grice -- in six volumes, vol. V.

Plato (427–347 B.C.), preeminent Greek philosopher whose chief contribution consists in his conception of the observable world as an imperfect image of a realm of unobservable and unchanging “Forms,” and his conception of the best life as one centered on the love of these divine objects. Life and influences. Born in Athens to a politically powerful and aristocratic fily, Plato ce under the influence of Socrates during his youth and set aside his bitions for a political career after Socrates was executed for impiety. His travels in southern Italy and Sicily brought him into closer contact with the followers of Pythagoras, whose research in mathematics played an important role in his intellectual development. He was also acquainted with Cratylus, a follower of Heraclitus, and was influenced by their doctrine that the world is in constant flux. He wrote in opposition to the relativism of Protagoras and the purely materialistic mode of explanation adopted by Democritus. At the urging of a devoted follower, Dion, he bece involved in the politics of Syracuse, the wealthiest city of the Greek world, but his efforts to mold the ideas of its tyrant, Dionysius II, were unmitigated failures. These painful events are described in Plato’s Letters (Epistles), the longest and most important of which is the Seventh Letter, and although the authenticity of the Letters is a matter of controversy, there is little doubt that the author was well acquainted with Plato’s life. After returning from his first visit to Sicily in 387, Plato established the Academy, a fraternal association devoted to research and teaching, and ned after the sacred site on the outskirts of Athens where it was located. As a center for political training, it rivaled the school of Isocrates, which concentrated entirely on rhetoric. The bestknown student of the Academy was Aristotle, who joined at the age of seventeen (when Plato was sixty) and remained for twenty years. Chronology of the works. Plato’s works, many of which take the form of dialogues between Socrates and several other speakers, were composed over a period of about fifty years, and this has led scholars to seek some pattern of philosophical development in them. Increasingly sophisticated stylometric tests have been devised to calculate the linguistic similarities ong the dialogues. Ancient sources indicate that the Laws was Plato’s last work, and there is now consensus that many affinities exist between the style of this work and several others, which can therePlato Plato 709    709 fore also be safely regarded as late works; these include the Sophist, Statesman, and Philebus (perhaps written in that order). Stylometric tests also support a rough division of Plato’s other works into early and middle periods. For exple, the Apology, Charmides, Crito, Euthyphro, Hippias Minor, Ion, Laches, and Protagoras (listed alphabetically) are widely thought to be early; while the Phaedo, Symposium, Republic, and Phaedrus (perhaps written in that order) are agreed to belong to his middle period. But in some cases it is difficult or impossible to tell which of two works belonging to the se general period preceded the other; this is especially true of the early dialogues. The most controversial chronological question concerns the Timaeus: stylometric tests often place it with the later dialogues, though some scholars think that its philosophical doctrines are discarded in the later dialogues, and they therefore assign it to Plato’s middle period. The underlying issue is whether he abandoned some of the main doctrines of this middle period. Early and middle dialogues. The early dialogues typically portray an encounter between Socrates and an interlocutor who complacently assumes that he understands a common evaluative concept like courage, piety, or beauty. For exple, Euthyphro, in the dialogue that bears his ne, denies that there is any impiety in prosecuting his father, but repeated questioning by Socrates shows that he cannot say what single thing all pious acts have in common by virtue of which they are rightly called pious. Socrates professes to have no answer to these “What is X?” questions, and this fits well with the claim he makes in the Apology that his peculiarly human form of wisdom consists in realizing how little he knows. In these early dialogues, Socrates seeks but fails to find a philosophically defensible theory that would ground our use of normative terms. The Meno is similar to these early dialogues – it asks what virtue is, and fails to find an answer – but it goes beyond them and marks a transition in Plato’s thinking. It raises for the first time a question about methodology: if one does not have knowledge, how is it possible to acquire it simply by raising the questions Socrates poses in the early dialogues? To show that it is possible, Plato demonstrates that even a slave ignorant of geometry can begin to learn the subject through questioning. The dialogue then proposes an explanation of our ability to learn in this way: the soul acquired knowledge before it entered the body, and when we learn we are really recollecting what we once knew and forgot. This bold speculation about the soul and our ability to learn contrasts with the noncommittal position Socrates takes in the Apology, where he is undecided whether the dead lose all consciousness or continue their activities in Hades. The confidence in immortality evident in the Meno is bolstered by arguments given in the Phaedo, Republic, and Phaedrus. In these dialogues, Plato uses metaphysical considerations about the nature of the soul and its ability to learn to support a conception of what the good human life is. Whereas the Socrates of the early dialogues focuses almost exclusively on ethical questions and is pessimistic about the extent to which we can answer them, Plato, beginning with the Meno and continuing throughout the rest of his career, confidently asserts that we can answer Socratic questions if we pursue ethical and metaphysical inquiries together. The Forms. The Phaedo is the first dialogue in which Plato decisively posits the existence of the abstract objects that he often called “Forms” or “Ideas.” (The latter term should be used with caution, since these objects are not creations of a mind, but exist independently of thought; the singular Greek terms Plato often uses to ne these abstract objects are eidos and idea.) These Forms are eternal, changeless, and incorporeal; since they are imperceptible, we can come to have knowledge of them only through thought. Plato insists that it would be an error to identify two equal sticks with what Equality itself is, or beautiful bodies with what Beauty itself is; after all, he says, we might mistakenly take two equal sticks to be unequal, but we would never suffer from the delusion that Equality itself is unequal. The unchanging and incorporeal Form is the sort of object that is presupposed by Socratic inquiry; what every pious act has in common with every other is that it bears a certain relationship – called “participation” – to one and the se thing, the Form of Piety. In this sense, what makes a pious act pious and a pair of equal sticks equal are the Forms Piety and Equality. When we call sticks equal or acts pious, we are implicitly appealing to a standard of equality or piety, just as someone appeals to a standard when she says that a painted portrait of someone is a man. Of course, the pigment on the canvas is not a man; rather, it is properly called a man because it bears a certain relationship to a very different sort of object. In precisely this way, Plato claims that the Forms are what many of our words refer to, even though they are radically different sorts of objects from the ones revealed to the senses. Plato Plato 710    710 Love. For Plato the Forms are not merely an unusual item to be added to our list of existing objects. Rather, they are a source of moral and religious inspiration, and their discovery is therefore a decisive turning point in one’s life. This process is described by a fictional priestess ned Diotima in the Symposium, a dialogue containing a series of speeches in praise of love and concluding with a remarkable description of the passionate response Socrates inspired in Alcibiades, his most notorious admirer. According to Diotima’s account, those who are in love are searching for something they do not yet understand; whether they realize it or not, they seek the eternal possession of the good, and they can obtain it only through productive activity of some sort. Physical love perpetuates the species and achieves a lower form of immortality, but a more beautiful kind of offspring is produced by those who govern cities and shape the moral characteristics of future generations. Best of all is the kind of love that eventually attaches itself to the Form of Beauty, since this is the most beautiful of all objects and provides the greatest happiness to the lover. One develops a love for this Form by ascending through various stages of emotional attachment and understanding. Beginning with an attraction to the beauty of one person’s body, one gradually develops an appreciation for the beauty present in all other beautiful bodies; then one’s recognition of the beauty in people’s souls takes on increasing strength, and leads to a deeper attachment to the beauty of customs, laws, and systems of knowledge; and this process of emotional growth and deepening insight eventually culminates in the discovery of the eternal and changeless beauty of Beauty itself. Plato’s theory of erotic passion does not endorse “Platonic love,” if that phrase designates a purely spiritual relationship completely devoid of physical attraction or expression. What he insists on is that desires for physical contact be restrained so that they do not subvert the greater good that can be accomplished in human relationships. His sexual orientation (like that of many of his Athenian contemporaries) is clearly homosexual, and he values the moral growth that can occur when one man is physically attracted to another, but in Book I of the Laws he condemns genital activity when it is homosexual, on the ground that such activity should serve a purely procreative purpose. Plato’s thoughts about love are further developed in the Phaedrus. The lover’s longing for and physical attraction to another make him disregard the norms of commonplace and dispassionate human relationships: love of the right sort is therefore one of four kinds of divine madness. This fourfold classificatory scheme is then used as a model of proper methodology. Starting with the Phaedrus, classification – what Plato calls the “collection and division of kinds” – becomes the principal method to be used by philosophers, and this approach is most fully employed in such late works as the Sophist, Statesman, and Philebus. Presumably it contributed to Aristotle’s interest in categories and biological classification. The Republic. The moral and metaphysical theory centered on the Forms is most fully developed in the Republic, a dialogue that tries to determine whether it is in one’s own best interests to be a just person. It is commonly assumed that injustice pays if one can get away with it, and that just behavior merely serves the interests of others. Plato attempts to show that on the contrary justice, properly understood, is so great a good that it is worth any sacrifice. To support this astonishing thesis, he portrays an ideal political community: there we will see justice writ large, and so we will be better able to find justice in the individual soul. An ideal city, he argues, must make radical innovations. It should be ruled by specially trained philosophers, since their understanding of the Form of the Good will give them greater insight into everyday affairs. Their education is compared to that of a prisoner who, having once gazed upon nothing but shadows in the artificial light of a cave, is released from bondage, leaves the cave, eventually learns to see the sun, and is thereby equipped to return to the cave and see the images there for what they are. Everything in the rulers’ lives is designed to promote their allegiance to the community: they are forbidden private possessions, their sexual lives are regulated by eugenic considerations, and they are not to know who their children are. Positions of political power are open to women, since the physical differences between them and men do not in all cases deprive them of the intellectual or moral capacities needed for political office. The works of poets are to be carefully regulated, for the false moral notions of the traditional poets have had a powerful and deleterious impact on the general public. Philosophical reflection is to replace popular poetry as the force that guides moral education. What makes this city ideally just, according to Plato, is the dedication of each of its components to one task for which it is naturally suited and specially trained. The rulers are ideally equipped Plato Plato o rule; the soldiers are best able to enforce their commands; and the economic class, composed of farmers, craftsmen, builders, and so on, are content to do their work and to leave the tasks of making and enforcing the laws to others. Accordingly what makes the soul of a human being just is the se principle: each of its components must properly perform its own task. The part of us that is capable of understanding and reasoning is the part that must rule; the assertive part that makes us capable of anger and competitive spirit must give our understanding the force it needs; and our appetites for food and sex must be trained so that they seek only those objects that reason approves. It is not enough to educate someone’s reason, for unless the emotions and appetites are properly trained they will overpower it. Just individuals are those who have fully integrated these elements of the soul. They do not unthinkingly follow a list of rules; rather, their just treatment of others flows from their own balanced psychological condition. And the paradigm of a just person is a philosopher, for reason rules when it becomes passionately attached to the most intelligible objects there are: the Forms. It emerges that justice pays because attachment to these supremely valuable objects is part of what true justice of the soul is. The worth of our lives depends on the worth of the objects to which we devote ourselves. Those who think that injustice pays assume that wealth, domination, or the pleasures of physical appetite are supremely valuable; their mistake lies in their limited conception of what sorts of objects are worth loving. Late dialogues. The Republic does not contain Plato’s last thoughts on moral or metaphysical matters. For exple, although he continues to hold in his final work, the Laws, that the fily and private wealth should ideally be abolished, he describes in great detail a second-best community that retains these and many other institutions of ordinary political life. The sovereignty of law in such a state is stressed continually; political offices are to be filled by elections and lots, and magistrates are subject to careful scrutiny and prosecution. Power is divided ong several councils and offices, and philosophical training is not a prerequisite for political participation. This second-best state is still worlds apart from a modern liberal democracy – poetic works and many features of private life are carefully regulated, and atheism is punished with death – but it is remarkable that Plato, after having made no concessions to popular participation in the Republic, devoted so much energy to finding a proper place for it in his final work. Plato’s thoughts about metaphysics also continued to evolve, and perhaps the most serious problem in interpreting his work as a whole is the problem of grasping the direction of these further developments. One notorious obstacle to understanding his later metaphysics is presented by the Parmenides, for here we find an unanswered series of criticisms of the theory of Forms. For exple, it is said that if there is reason to posit one Form of Largeness (to select an arbitrary exple) then there is an equally good reason to posit an unlimited number of Forms of this type. The “first” Form of Largeness must exist because according to Plato whenever a number of things are large, there is a Form of Largeness that makes them large; but now, the argument continues, if we consider this Form together with the other large things, we should recognize still another Form, which makes the large things and Largeness itself large. The argument can be pursued indefinitely, but it seems absurd that there should be an unlimited number of Forms of this one type. (In antiquity the argument was ned the Third Man, because it claims that in addition to a second type of object called “man” – the Form of Man – there is even a third.) What is Plato’s response to this and other objections to his theory? He says in the Parmenides that we must continue to affirm the existence of such objects, for language and thought require them; but instead of responding directly to the criticisms, he embarks on a prolonged exination of the concept of unity, reaching apparently conflicting conclusions about it. Whether these contradictions are merely apparent and whether this treatment of unity contains a response to the earlier critique of the Forms are difficult matters of interpretation. But in any case it is clear that Plato continues to uphold the existence of unchanging realities; the real difficulty is whether and how he modifies his earlier views about them. In the Timaeus, there seem to be no modifications at all – a fact that has led some scholars to believe, in spite of some stylometric evidence to the contrary, that this work was written before Plato composed the critique of the Forms in the Parmenides. This dialogue presents an account of how a divine but not omnipotent craftsman transformed the disorderly materials of the universe into a harmonious cosmos by looking to the unchanging Forms as paradigms and creating, to the best of his limited abilities, constantly fluctuating images of those paradigms. The crePlato Plato 712    712 ated cosmos is viewed as a single living organism governed by its own divinely intelligent soul; time itself ce into existence with the cosmos, being an image of the timeless nature of the Forms; space, however, is not created by the divine craftsman but is the characterless receptacle in which all change takes place. The basic ingredients of the universe are not earth, air, fire, and water, as some thinkers held; rather, these elements are composed of planes, which are in turn made out of elementary triangular shapes. The Timaeus is an attempt to show that although many other types of objects besides the Forms must be invoked in order to understand the orderly nature of the changing universe – souls, triangles, space – the best scientific explanations will portray the physical world as a purposeful and very good approximation to a perfect pattern inherent in these unchanging and eternal objects. But Forms do not play as important a role in the Philebus, a late dialogue that contains Plato’s fullest answer to the question, What is the good? He argues that neither pleasure not intelligence can by itself be identified with the good, since no one would be satisfied with a life that contained just one of these but totally lacked the other. Instead, goodness is identified with proportion, beauty, and truth; and intelligence is ranked a superior good to pleasure because of its greater kinship to these three. Here, as in the middle dialogues, Plato insists that a proper understanding of goodness requires a metaphysical grounding. To evaluate the role of pleasure in human life, we need a methodology that applies to all other areas of understanding. More specifically, we must recognize that everything can be placed in one of four categories: the limited, the unlimited, the mixture of these two, and the intelligent creation of this mixture. Where Forms are to be located in this scheme is unclear. Although metaphysics is invoked to answer practical questions, as in the Republic, it is not precisely the se metaphysics as before. Though we naturally think of Plato primarily as a writer of philosophical works, he regards the written word as inferior to spoken interchange as an instrument for learning and teaching. The drawbacks inherent in written composition are most fully set forth in the Phaedrus. There is no doubt that in the Academy he participated fully in philosophical debate, and on at least one occasion he lectured to a general audience. We are told by Aristoxenus, a pupil of Aristotle, that many in Plato’s audience were baffled and disappointed by a lecture in which he maintained that Good is one. We can safely assume that in conversation Plato put forward important philosophical ideas that nonetheless did not find their way into his writings. Aristotle refers in Physics IV.2 to one of Plato’s doctrines as unwritten, and the enigmatic positions he ascribes to Plato in Metaphysics I.6 – that the Forms are to be explained in terms of number, which are in turn generated from the One and the dyad of great and small – seem to have been expounded solely in discussion. Some scholars have put great weight on the statement in the Seventh Letter that the most fundental philosophical matters must remain unwritten, and, using later testimony about Plato’s unwritten doctrines, they read the dialogues as signs of a more profound but hidden truth. The authenticity of the Seventh Letter is a disputed question, however. In any case, since Aristotle himself treats the middle and late dialogues as undissembling accounts of Plato’s philosophy, we are on firm ground in adopting the se approach. 
Plekhanov, Georgy Valentinovich (1856–1918), a leading theoretician of the Russian revolutionary movement and the father of Russian Marxism. Exiled from his native Russia for most of his adult life, in 1883 he founded in Switzerland the first Russian Marxist association – the Emancipation of Labor, a forerunner of the Russian Social Democratic Workers’ party. In philosophy he sought to systematize and disseminate the outlook of Marx and Engels, for which he popularized the ne ‘dialectical materialism’. For the most part an orthodox Marxist in his understanding of history, Plekhanov argued that historical developments cannot be diverted or accelerated at will; he believed that Russia was not ready for a proletarian revolution in the first decades of the twentieth century, and consequently he opposed the Bolshevik faction in the Plato, commentaries on Plekhanov, Georgy Valentinovich 713    713 split (1903) of the Social Democratic party. At the se time he was not a simplistic economic determinist: he accepted the role of geographical, psychological, and other non-economic factors in historical change. In epistemology, Plekhanov agreed with Kant that we cannot know things in themselves, but he argued that our sensations may be conceived as “hieroglyphs,” corresponding point by point to the elements of reality without resembling them. In ethics, too, Plekhanov sought to supplement Marx with Kant, tempering the class analysis of morality with the view that there are universally binding ethical principles, such as the principle that human beings should be treated as ends rather than means. Because in these and other respects Plekhanov’s version of Marxism conflicted with Lenin’s, his philosophy was scornfully rejected by doctrinaire Marxist-Leninists during the Stalin era. 
Plotinus (A.D. 204–70), Greco-Roman Neoplatonist philosopher. Born in Egypt, though doubtless of Greek ancestry, he studied Platonic philosophy in Alexandria with monius Saccas (232–43); then, after a brief adventure on the staff of the Emperor Gordian III on an unsuccessful expedition against the Persians, he ce to Rome in 244 and continued teaching philosophy there until his death. He enjoyed the support of many prominent people, including even the Emperor Gallienus and his wife. His chief pupils were elius and Porphyry, the latter of whom collected and edited his philosophical essays, the Enneads (so called because arranged by Porphyry in six groups of nine). The first three groups concern the physical world and our relation to it, the fourth concerns Soul, the fifth Intelligence, and the sixth the One. Porphyry’s arrangement is generally followed today, though a chronological sequence of tractates, which he also provides in his introductory Life of Plotinus, is perhaps preferable. The most important treatises are I.1; I.2; I.6; II.4; II.8; III.2–3; III.6; III.7; IV.3–4; V.1; V.3; VI.4–5; VI.7; VI.8; VI.9; and the group III.8, V.8, V.5, and II.9 (a single treatise, split up by Porphyry, that is a wide-ranging account of Plotinus’s philosophical position, culminating in an attack on gnosticism). Plotinus saw himself as a faithful exponent of Plato (see especially Enneads V.1), but he is far more than that. Platonism had developed considerably in the five centuries that separate Plato from Plotinus, taking on much from both Aristotelianism and Stoicism, and Plotinus is the heir to this process. He also adds much himself.  EMANATIONISM, NEOPLATONISM. J.M.D. pluralism, a philosophical perspective on the world that emphasizes diversity rather than homogeneity, multiplicity rather than unity, difference rather than seness. The philosophical consequences of pluralism were addressed by Greek antiquity in its preoccupation with the problem of the one and the many. The proponents of pluralism, represented principally by Empedocles, Anaxagoras, and the Atomists (Leucippus and Democritus), maintained that reality was made up of a multiplicity of entities. Adherence to this doctrine set them in opposition to the monism of the Eleatic School (Parmenides), which taught that reality was an impermeable unity and an unbroken solidarity. It was thus that pluralism ce to be defined as a philosophical alternative to monism. In the development of Occidental thought, pluralism ce to be contrasted not only with monism but also with dualism, the philosophical doctrine that there are two, and only two, kinds of existents. Descartes, with his doctrine of two distinct substances – extended non-thinking substance versus non-extended thinking substance – is commonly regarded as having provided the clearest exple of philosophical dualism. Pluralism thus needs to be understood as marking out philosophical alternatives to both monism and dualism. Pluralism as a metaphysical doctrine requires that we distinguish substantival from attributive pluralism. Substantival pluralism views the world as containing a multiplicity of substances that remain irreducible to each other. Attributive pluralism finds the multiplicity of kinds not ong the furniture of substances that make up the world but rather ong a diversity of attributes and distinguishing properties. However, pluralism ce to be defined not only as a metaphysical doctrine but also as a regulative principle of explanation that calls upon differing explanatory principles and conceptual schemes to account for the manifold events of nature and the varieties of human experience. Recent philosophical thought has witnessed a resurgence of interest in pluralism. This was evident in the development of erican pragmatism, where pluralism received piquant explenitude, principle of pluralism 714    714 pression in Jes’s A Pluralistic Universe (1909). More recently pluralism was given a voice in the thought of the later Wittgenstein, with its heavy accent on the plurality of language ges displayed in our ordinary discourse. Also, in the current developments of philosophical postmodernism (Jean-François Lyotard), one finds an explicit pluralistic orientation. Here the emphasis falls on the multiplicity of signifiers, phrase regimens, genres of discourse, and narrational strategies. The alleged unities and totalities of thought, discourse, and action are subverted in the interests of reclaiming the diversified and heterogeneous world of human experience. Pluralism in contemporary thought initiates a move into a postmetaphysical age. It is less concerned with traditional metaphysical and epistemological issues, seeking answers to questions about the nature and kinds of substances and attributes; and it is more attuned to the diversity of social practices and the multiple roles of language, discourse, and narrative in the panoply of human affairs.  DEWEY, POSTMODERN, PRAGMATISM,

SPECULATIVE PHILOSOPHY. C.O.S. pluralitive logic, also called pleonetetic logic, the logic of ‘many’, ‘most’, ‘few’, and similar terms (including ‘four out of five’, ‘over 45 percent’ and so on). Consider (1) ‘Almost all F are G’ (2) ‘Almost all F are not G’ (3) ‘Most F are G’ (4) ‘Most F are not G’ (5) ‘Many F are G’ (6) ‘Many F are not G’ (1) i.e., ‘Few F are not G’ and (6) are contradictory, as are (2) and (5) and (3) and (4). (1) and (2) cannot be true together (i.e., they are contraries), nor can (3) and (4), while (5) and (6) cannot be false together (i.e., they are subcontraries). Moreover, (1) entails (3) which entails (5), and (2) entails (4) which entails (6). Thus (1)–(6) form a generalized “square of opposition” (fitting inside the standard one). Sometimes (3) is said to be true if more than half the F’s are G, but this makes ‘most’ unnecessarily precise, for ‘most’ does not literally mean ‘more than half’. Although many pluralitive terms are vague, their interrelations are logically precise. Again, one might define ‘many’ as ‘There are at least n’, for some fixed n, at least relative to context. But this not only erodes the vagueness, it also fails to work for arbitrarily large and infinite domains. ‘Few’, ‘most’, and ‘many’ are binary quantifiers, a type of generalized quantifier. A unary quantifier, such as the standard quantifiers ‘some’ and ‘all’, connotes a second-level property, e.g., ‘Something is F’ means ‘F has an instance’, and ‘All F’s are G’ means ‘F and not G has no instance’. A generalized quantifier connotes a second-level relation. ‘Most F’s are G’ connotes a binary relation between F and G, one that cannot be reduced to any property of a truth-functional compound of F and G. In fact, none of the standard pluralitive terms can be defined in first-order logic.  FORMAL LOGIC, SQUARE OF OPPOSITION, VAGUENESS. S.L.R. plurality of causes, as used by J. S. Mill, more than one cause of a single effect; i.e., tokens of different event types causing different tokens of the se event type. Plurality of causes is distinct from overdetermination of an event by more than one actual or potential token cause. For exple, an animal’s death has a plurality of causes: it may die of starvation, of bleeding, of a blow to the head, and so on. Mill thought these cases were important because he saw that the existence of a plurality of causes creates problems for his four methods for determining causes. Mill’s method of agreement is specifically vulnerable to the problem: the method fails to reveal the cause of an event when the event has more than one type of cause, because the method presumes that causes are necessary for their effects. Actually, plurality of causes is a commonplace fact about the world because very few causes are necessary for their effects. Unless the background conditions are specified in great detail, or the identity of the effect type is defined very narrowly, almost all cases involve a plurality of causes. For exple, flipping the light switch is a necessary cause of the light’s going on, only if one assumes that there will be no short circuit across the switch, that the wiring will remain as it is, and so on, or if one assumes that by ‘the light’s going on’ one means the light’s going on in the normal way.

 CAUSATION; MILL, J. S.; MILL’S METHODS; TYPE–TOKEN DISTINCTION. B.E. Plutarch of Athens.NEOPLATONISM. Plutarch of Chaeronea.ACADEMY, MIDDLE PLATONISM. PM.APPENDIX OF SPECIAL SYMBOLS. pluralitive logic PM 715    715 pneuma.STOICISM. Po-hu tung (“White Tiger Hall Consultations”), an important Chinese Confucian work of the later Han dynasty, resulting from discussions at the imperial palace in A.D. 79 on the classics and their commentaries. Divided into forty-three headings, the text sums up the dominant teachings of Confucianism by affirming the absolute position of the monarch, a cosmology and moral psychology based on the yin–yang theory, and a comprehensive social and political philosophy. While emphasizing benevolent government, it legitimizes the right of the ruler to use force to quell disorder. A system of “three bonds and six relationships” defines the hierarchical structure of society. Human nature, identified with the yang cosmic force, must be cultivated, while feelings (yin) are to be controlled especially by rituals and education. The Confucian orthodoxy affirmed also marks an end to the debate between the Old Text school and the New Text school that divided earlier Han scholars.  CONFUCIANISM; YIN, YANG. A.K.L.C. poiesis (Greek, ‘production’), behavior aimed at an external end. In Aristotle, poiesis is opposed to praxis (action). It is characteristic of crafts – e.g. building, the end of which is houses. It is thus a kinesis (process). For Aristotle, exercising the virtues, since it must be undertaken for its own sake, cannot be poiesis. The knowledge involved in virtue is therefore not the se as that involved in crafts. R.C. Poincaré, Jules Henri (1854–1912), French mathematician and influential philosopher of science. Born into a prominent fily in Nancy, he showed extraordinary talent in mathematics from an early age. He studied at the École des Mines and worked as a mining engineer while completing his doctorate in mathematics (1879). In 1881, he was appointed professor at the University of Paris, where he lectured on mathematics, physics, and astronomy until his death. His original contributions to the theory of differential equations, algebraic topology, and number theory made him the leading mathematician of his day. He published almost five hundred technical papers as well as three widely read books on the philosophy of science: Science and Hypothesis (1902), The Value of Science (1905), and Science and Method (1908). Poincaré’s philosophy of science was shaped by his approach to mathematics. Geometric axioms are neither synthetic a priori nor empirical; they are more properly understood as definitions. Thus, when one set of axioms is preferred over another for use in physics, the choice is a matter of “convention”; it is governed by criteria of simplicity and economy of expression rather than by which geometry is “correct.” Though Euclidean geometry is used to describe the motions of bodies in space, it makes no sense to ask whether physical space “really” is Euclidean. Discovery in mathematics resembles discovery in the physical sciences, but whereas the former is a construction of the human mind, the latter has to be fitted to an order of nature that is ultimately independent of mind. Science provides an economic and fruitful way of expressing the relationships between classes of sensations, enabling reliable predictions to be made. These sensations reflect the world that causes them; the (limited) objectivity of science derives from this fact, but science does not purport to determine the nature of that underlying world. Conventions, choices that are not determinable by rule, enter into the physical sciences at all levels. Such principles as that of the conservation of energy may appear to be empirical, but are in fact postulates that scientists have chosen to treat as implicit definitions. The decision between alternative hypotheses also involves an element of convention: the choice of a particular curve to represent a finite set of data points, e.g., requires a judgment as to which is simpler. Two kinds of hypotheses, in particular, must be distinguished. Inductive generalizations from observation (“real generalizations”) are hypothetical in the limited sense that they are always capable of further precision. Then there are theories (“indifferent hypotheses”) that postulate underlying entities or structures. These entities may seem explanatory, but strictly speaking are no more than devices useful in calculation. For atomic theory to explain, atoms would have to exist. But this cannot be established in the only way permissible for a scientific claim, i.e. directly by experiment. Shortly before he died, Poincaré finally allowed that Perrin’s experimental verification of Einstein’s predictions regarding Brownian motion, plus his careful marshaling of twelve other distinct experimental methods of calculating Avogadro’s number, constituted the equivalent of an experimental proof of the existence of atoms: “One can say that we see them because we can count them. . . . The atom of the chemist is now a reality.”  CONVENTIONALISM, PHILOSOPHY OF MATHEMATICS. E.M. pneuma Poincaré, Jules Henri 716    716 polarity Polish logic 717 polarity, the relation between distinct phenomena, terms, or concepts such that each inextricably requires, though it is opposed to, the other, as in the relation between the north and south poles of a magnet. In application to terms or concepts, polarity entails that the meaning of one involves the meaning of the other. This is conceptual polarity. Terms are existentially polar provided an instance of one cannot exist unless there exists an instance of the other. The second sense implies the first. Supply and demand and good and evil are instances of conceptual polarity. North and south and buying and selling are instances of existential polarity. Some polar concepts are opposites, such as truth and falsity. Some are correlative, such as question and answer: an answer is always an answer to a question; a question calls for an answer, but a question can be an answer, and an answer can be a question. The concept is not restricted to pairs and can be extended to generate mutual interdependence, multipolarity.  MEANING, PHILOSOPHY OF LANGUAGE. M.G.S. Polish logic, logic as researched, elucidated, and taught in Poland, 1919–39. Between the two wars colleagues Jan Lukasiewicz, Tadeusz Kotarbigki, and Stanislaw Lesniewski, assisted by students-become-collaborators such as Alfred Tarski, Jerzy Slupecki, Stanislaw Jaskowski, and Boleslaw Sobocigski, together with mathematicians in Warsaw and philosophical colleagues elsewhere, like Kasimir Ajdukiewicz and Tadeusz Czezowski, made Warsaw an internationally known center of research in logic, metalogic, semantics, and foundations of mathematics. The Warsaw “school” also dominated Polish philosophy, and made Poland the country that introduced modern logic even in secondary schools. All three founders took their doctorates in Lvov under Kasimir Twardowski (1866–1938), mentor of leading thinkers of independent Poland between the wars. Arriving from Vienna to take the chair of philosophy at twenty-nine, Twardowski had to choose between concentrating on his own research and organizing the study of philosophy in Poland. Dedicating his life primarily to the community task, he bece the founder of modern Polish philosophy. Twardowski’s informal distinction between distributive and collective conceptions influenced classification of philosophy and the sciences, and anticipated Lesniewski’s formal axiomatizations in ontology and mereology, respectively. Another common inheritance important in Polish logic was Twardowski’s stress on the process–product biguity. He applied this distinction to disbiguate ‘meaning’ and refine his teacher Brentano’s account of mental acts as meaningful (“intentional”) events, by differentiating (1) what is meant or “intended” by the act, its objective noema or noematic “intentional object,” from (2) its corresponding noetic meaning or subjective “content,” the correlated characteristic or structure by which it “intends” its “object” or “objective” – i.e., means that: suchand-such (is so). Twardowski’s teaching – especially this careful analysis of “contents” and “objects” of mental acts – contributed to Meinong’s theory of objects, and linked it, Husserl’s phenomenology, and Anton Marty’s “philosophical grmar” with the “descriptive psychology” of their common teacher, the Aristotelian and Scholastic empiricist Brentano, and thus with sources of the analytic movements in Vienna and Cbridge. Twardowski’s lectures on the philosophical logic of content and judgment prepared the ground for scientific semantics; his references to Boolean algebra opened the door to mathematical logic; and his phenomenological idea of a general theory of objects pointed toward Lesniewski’s ontology. Twardowski’s maieutic character, integrity, grounding in philosophical traditions, and arduous training (lectures began at six a.m.), together with his realist defense of the classical Aristotelian correspondence theory of truth against “irrationalism,” dogmatism, skepticism, and psychologism, influenced his many pupils, who bece leaders of Polish thought in diverse fields. But more influential than any doctrine was his rigorist ideal of philosophy as a strict scientific discipline of criticism and logical analysis, precise definition, and conceptual clarification. His was a school not of doctrine but of method. Maintaining this common methodological inheritance in their divergent ways, and encouraged to learn more mathematical logic than Twardowski himself knew, his students in logic were early influenced by Frege’s and Husserl’s critique of psychologism in logic, Husserl’s logical investigations, and the logical reconstruction of classical mathematics by Frege, Schröder, Whitehead, and Russell. As lecturer in Lvov from 1908 until his appointment to Warsaw in 1915, Lukasiewicz introduced mathematical logic into Poland. To Lesniewski, newly arrived from studies in Germany as an enthusiast for Marty’s philosophy of language, Lukasiewicz’s influential 1910 Critique of Aristotle’s principle of contradiction was a “revelation” in 1911. ong other things it    717 Polish notation political philosophy 718 revealed paradoxes like Russell’s, which preoccupied him for the next eleven years as, logically refuting Twardowski’s Platonist theory of abstraction, he worked out his own solutions and, influenced also by Leon Chwistek, outgrew the influence of Hans Cornelius and Leon Petraz´ycki, and developed his own “constructively nominalist” foundations. In 1919 Kotarbisski and Lesniewski joined Lukasiewicz in Warsaw, where they attracted students like Tarski, Sobocigski, and Slupecki in the first generation, and Andrzej Mostowski and Czeslaw Lejewski in the next. When the war ce, the survivors were scattered and the metalogicians Morchaj Wajsberg, Moritz Presburger, and Adolf Lindenbaum were killed or “disappeared” by the Gestapo. Lukasiewicz concentrated increasingly on history of logic (especially in reconstructing the logic of Aristotle and the Stoics) and deductive problems concerning syllogistic and propositional logic. His idea of logical probability and development of three- or manyvalued and modal calculi reflected his indeterminist sympathies in prewar exchanges with Kotarbigski and Lesniewski on the status of truths (eternal, sempiternal, or both?), especially as concerns future contingencies. Lesniewski concentrated on developing his logical systems. He left elaboration of many of his seminal metalogical and semantic insights to Tarski, who, despite a divergent inclination to simplify metathematical deductions by expedient postulation, shared with Lesniewski, Lukasiewicz, and Ajdukiewicz the conviction that only formalized languages can be made logically consistent subjects and instruments of rigorous scientific investigation. Kotarbigski drew on Lesniewski’s logic of predication to defend his “reism” (as one possible application of Lesniewski’s ontology), to facilitate his “concretist” progr for translating abstractions into more concrete terms, and to rationalize his “imitationist” account of mental acts or dispositions. Inheriting Twardowski’s role as cultural leader and educator, Kotarbigski popularized the logical achievements of his colleagues in (e.g.) his substantial 1929 treatise on the theory of knowledge, formal logic, and scientific methodology; this work bece required reading for serious students and, together with the lucid textbooks by Lukasiewicz and Ajdukiewicz, raised the level of philosophical discussion in Poland. Jaskowski published a system of “natural deduction” by the suppositional method practiced by Lesniewski since 1916. Ajdukiewicz based his syntax on Lesniewski’s logical grmar, and by his searching critiques influenced Kotarbigski’s “reist” and “concretist” formulations. Closest in Poland to the logical positivists of the Vienna Circle, Ajdukiewicz brought new sophistication to the philosophy of language and of science by his exination of the role of conventions and meaning postulates in scientific theory and language, distinguishing axiomatic, deductive, and empirical rules of meaning. His evolving and refined conventionalist analyses of theories, languages, “world perspectives,” synonymy, translation, and analyticity, and his philosophical clarification by paraphrase anticipated views of Carnap, Feigl, and Quine. But the Polish thinkers, beyond their common methodological inheritance and general adherence to extensional logic, subscribed to little common doctrine, and in their exchanges with the Vienna positivists remained “too sober” (said Lukasiewicz) to join in sweeping antimetaphysical manifestos. Like Twardowski, they were critics of traditional formulations, who sought not to proscribe but to reform metaphysics, by reformulating issues clearly enough to advance understanding. Indeed, except for Chwistek, the mathematician Jan Slezygski, and the historians I. M. Bochegski, Z. A. Jordan, and Jan Salucha, in addition to the phenomenologist Roman Ingarden, the key figures in Polish logic were all philosophical descendants of Twardowski. 

KOTARBIgSKI, LESNIEWSKI, LUKASIEWICZ. E.C.L. Polish notation.LOGICAL NOTATION. political obligation.POLITICAL PHILOSOPHY. political philosophy, the study of the nature and justification of coercive institutions. Coercive institutions range in size from the fily to the nation-state and world organizations like the United Nations. They are institutions that at least sometimes employ force or the threat of force to control the behavior of their members. Justifying such coercive institutions requires showing that the authorities within them have a right to be obeyed and that their members have a corresponding obligation to obey them, i.e., that these institutions have legitimate political authority over their members. Classical political philosophers, like Plato and Aristotle, were primarily interested in providing a justification for city-states like Athens or Sparta. But historically, as larger coercive insti   718 tutions bece possible and desirable, political philosophers sought to justify them. After the seventeenth century, most political philosophers focused on providing a justification for nationstates whose claim to legitimate authority is restricted by both geography and nationality. But from time to time, and more frequently in the nineteenth and twentieth centuries, some political philosophers have sought to provide a justification for various forms of world government with even more extensive powers than those presently exercised by the United Nations. And quite recently, feminist political philosophers have raised important challenges to the authority of the fily as it is presently constituted. Anarchism (from Greek an archos, ‘no government’) rejects this central task of political philosophy. It maintains that no coercive institutions are justified. Proudhon, the first self-described anarchist, believed that coercive institutions should be replaced by social and economic organizations based on voluntary contractual agreement, and he advocated peaceful change toward anarchism. Others, notably Blanqui and Bakunin, advocated the use of violence to destroy the power of coercive institutions. Anarchism inspired the anarcho-syndicalist movement, Makhno and his followers during the Russian Civil War, the Spanish anarchists during the Spanish Civil War, and the anarchist gauchistes during the 1968 “May Events” in France. Most political philosophers, however, have sought to justify coercive institutions; they have simply disagreed over what sort of coercive institutions are justified. Liberalism, which derives from the work of Locke, is the view that coercive institutions are justified when they promote liberty. For Locke, liberty requires a constitutional monarchy with parlientary government. Over time, however, the ideal of liberty bece subject to at least two interpretations. The view that seems closest to Locke’s is classical liberalism, which is now more frequently called (political) libertarianism. This form of liberalism interprets constraints on liberty as positive acts (i.e., acts of commission) that prevent people from doing what they otherwise could do. According to this view, failing to help people in need does not restrict their liberty. Libertarians maintain that when liberty is so interpreted only a minimal or night-watchman state that protects against force, theft, and fraud can be justified. In contrast, in welfare liberalism, a form of liberalism that derives from the work of T. H. Green, constraints on liberty are interpreted to include, in addition, negative acts (i.e., acts of omission) that prevent people from doing what they otherwise could do. According to this view, failing to help people in need does restrict their liberty. Welfare liberals maintain that when liberty is interpreted in this fashion, coercive institutions of a welfare state requiring a guaranteed social minimum and equal opportunity are justified. While no one denies that when liberty is given a welfare liberal interpretation some form of welfare state is required, there is considerable debate over whether a minimal state is required when liberty is given a libertarian interpretation. At issue is whether the liberty of the poor is constrained when they are prevented from taking from the surplus possessions of the rich what they need for survival. If such prevention does constrain the liberty of the poor, it could be argued that their liberty should have priority over the liberty of the rich not to be interfered with when using their surplus possessions for luxury purposes. In this way, it could be shown that even when the ideal of liberty is given a libertarian interpretation, a welfare state, rather than a minimal state, is justified. Both libertarianism and welfare liberalism are committed to individualism. This view takes the rights of individuals to be basic and justifies the actions of coercive institutions as promoting those rights. Communitarianism, which derives from the writings of Hegel, rejects individualism. It maintains that rights of individuals are not basic and that the collective can have rights that are independent of and even opposed to what liberals claim are the rights of individuals. According to communitarians, individuals are constituted by the institutions and practices of which they are a part, and their rights and obligations derive from those se institutions and practices. Fascism is an extreme form of communitarianism that advocates an authoritarian state with limited rights for individuals. In its National Socialism (Nazi) variety, fascism was also antiSemitic and militarist. In contrast to liberalism and communitarianism, socialism takes equality to be the basic ideal and justifies coercive institutions insofar as they promote equality. In capitalist societies where the means of production are owned and controlled by a relatively small number of people and used primarily for their benefit, socialists favor taking control of the means of production and redirecting their use to the general welfare. According to Marx, the principle of distribution for a socialist society is: from each according to political philosophy political philosophy 719    719 ability, to each according to needs. Socialists disagree ong themselves, however, over who should control the means of production in a socialist society. In the version of socialism favored by Lenin, those who control the means of production are to be an elite seemingly differing only in their ends from the capitalist elite they replaced. In other forms of socialism, the means of production are to be controlled democratically. In advanced capitalist societies, national defense, police and fire protection, income redistribution, and environmental protection are already under democratic control. Democracy or “government by the people” is thought to apply in these areas, and to require some form of representation. Socialists simply propose to extend the domain of democratic control to include control of the means of production, on the ground that the very se arguments that support democratic control in these recognized areas also support democratic control of the means of production. In addition, according to Marx, socialism will transform itself into communism when most of the work that people perform in society becomes its own reward, making differential monetary reward generally unnecessary. Then distribution in society can proceed according to the principle, from each according to ability, to each according to needs. It so happens that all of the above political views have been interpreted in ways that deny that women have the se basic rights as men. By contrast, feminism, almost by definition, is the political view that women and men have the se basic rights. In recent years, most political philosophers have come to endorse equal basic rights for women and men, but rarely do they address questions that feminists consider of the utmost importance, e.g., how responsibilities and duties are to be assigned in fily structures. Each of these political views must be evaluated both internally and externally by comparison with the other views. Once this is done, their practical recommendations may not be so different. For exple, if welfare liberals recognize that the basic rights of their view extend to distant peoples and future generations, they may end up endorsing the se degree of equality socialists defend. Whatever their practical requirements, each of these political views justifies civil disobedience, even revolution, when certain of those requirements have not been met. Civil disobedience is an illegal action undertaken to draw attention to a failure by the relevant authorities to meet basic moral requirements, e.g., the refusal of Rosa Parks to give up her seat in a bus to a white man in accord with the local ordinance in Montgomery, Alaba, in 1955. Civil disobedience is justified when illegal action of this sort is the best way to get the relevant authorities to bring the law into better correspondence with basic moral requirements. By contrast, revolutionary action is justified when it is the only way to correct a radical failure of the relevant authorities to meet basic moral requirements. When revolutionary action is justified, people no longer have a political obligation to obey the relevant authorities; that is, they are no longer morally required to obey them, although they may still continue to do so, e.g. out of habit or fear. Recent contemporary political philosophy has focused on the communitarian–liberal debate. In defense of the communitarian view, Alasdair MacIntyre has argued that virtually all forms of liberalism attempt to separate rules defining right action from conceptions of the human good. On this account, he contends, these forms of liberalism must fail because the rules defining right action cannot be adequately grounded apart from a conception of the good. Responding to this type of criticism, some liberals have openly conceded that their view is not grounded independently of some conception of the good. Rawls, e.g., has recently made clear that his liberalism requires a conception of the political good, although not a comprehensive conception of the good. It would seem, therefore, that the debate between communitarians and liberals must turn on a comparative evaluation of their competing conceptions of the good. Unfortunately, contemporary communitarians have not yet been very forthcoming about what particular conception of the good their view requires. 

ETHICS, JUSTICE, LIBERALISM, POLITICAL THEORY, SOCIAL PHILOSOPHY. J.P.St. political theory, reflection concerning the empirical, normative, and conceptual dimensions of political life. There are no topics that all political theorists do or ought to address, no required procedures, no doctrines acknowledged to be authoritative. The meaning of ‘political theory’ resides in its fluctuating uses, not in any essential property. It is nevertheless possible to identify concerted tendencies ong those who have practiced this activity over twenty-five centuries. Since approximately the seventeenth century, a primary question has been how best to justify political theory political theory 720    720 the political rule of some people over others. This question subordinated the issue that had directed and organized most previous political theory, nely, what constitutes the best form of political regime. Assuming political association to be a divinely ordained or naturally necessary feature of the human estate, earlier thinkers had asked what mode of political association contributes most to realizing the good for humankind. Signaling the variable but intimate relationship between political theory and political practice, the change in question reflected and helped to consolidate acceptance of the postulate of natural human equality, the denial of divinely or naturally given authority of some human beings over others. Only a small minority of postseventeenth-century thinkers have entertained the possibility, perhaps suggested by this postulate, that no form of rule can be justified, but the shift in question altered the political theory agenda. Issues concerning consent, individual liberties and rights, various forms of equality as integral to justice, democratic and other controls on the authority and power of government – none of which were ong the first concerns of ancient or medieval political thinkers – moved to the center of political theory. Recurrent tendencies and tensions in political theory may also be discerned along dimensions that cross-cut historical divisions. In its most celebrated representations, political theory is integral to philosophy. Systematic thinkers such as Plato and Aristotle, Augustine and Aquinas, Hobbes and Hegel, present their political thoughts as supporting and supported by their ethics and theology, metaphysics and epistemology. Political argumentation must satisfy the se criteria of logic, truth, and justification as any other; a political doctrine must be grounded in the nature of reality. Other political theorists align themselves with empirical science rather than philosophy. Often focusing on questions of power, they aim to give accurate accounts and factually grounded assessments of government and politics in particular times and places. Books IV–VI of Aristotle’s Politics inaugurate this conception of political theory; it is represented by Montesquieu, Marx, and much of utilitarianism, and it is the numerically predominant form of academic political theorizing in the twentieth century. Yet others, e.g., Socrates, Machiavelli, Rousseau, and twentieth-century thinkers such as Rawls, mix the previously mentioned modes but understand themselves as primarily pursuing the practical objective of improving their own political societies.  POLITICAL PHILOSOPHY, SOCIAL PHILOSOPHY. R.E.F. polyadic.DEGREE. Polyaenus.EPICUREANISM. polysemy.BIGUITY. polysyllogism, a series of syllogisms connected by the fact that the conclusion of one syllogism becomes a premise of another. The syllogism whose conclusion is used as a premise in another syllogism within the chain is called the prosyllogism; the syllogism is which the conclusion of another syllogism within the chain is used as a premise is called the episyllogism. To illustrate, take the standard form of the simplest polysyllogism: (a) (1) Every B is A (2) Every C is B (3) , Every C is A (b) (4) Every C is A (5) Every D is C (6) , Every D is A. The first member (a) of this polysyllogism is the prosyllogism, since its conclusion, (3), occurs as a premise, (4), in the second argument. This second member, (b), is the episyllogism, since it employs as one of its premises (4) the conclusion (3) of the first syllogism. It should be noted that the terms ‘prosyllogism’ and ‘episyllogism’ are correlative terms. Moreover, a polysyllogism may have more than two members.  SYLLOGISM. I.Bo. Pomponazzi, Pietro (1462–1525), Italian philosopher, an Aristotelian who taught at the universities of Padua and Bologna. In De incantationibus (“On Incantations,” 1556), he regards the world as a system of natural causes that can explain apparently miraculous phenomena. Human beings are subject to the natural order of the world, yet divine predestination and human freedom are compatible (De fato, “On Fate,” 1567). Furthermore, he distinguishes between what is proved by natural reason and what is accepted by faith, and claims that, since there are arguments for and against the immortality of the human individual soul, this belief is to be accepted solely on the basis of faith (De immortalitate animae, “On the Immortality of the Soul,” polyadic Pomponazzi, Pietro 721    721 1516). He defended his view of immortality in the Apologia (1518) and in the Defensorium (1519). These three works were reprinted as Tractatus acutissimi (1525). Pomponazzi’s work was influential until the seventeenth century, when Aristotelianism ceased to be the main philosophy taught at the universities. The eighteenth-century freethinkers showed new interest in his distinction between natural reason and faith. P.Gar. pons asinorum (Latin, ‘asses’ bridge’), a methodological device based upon Aristotle’s description of the ways in which one finds a suitable middle term to demonstrate categorical propositions. Thus, to prove the universal affirmative, one should consider the characters that entail the predicate P and the characters entailed by the subject S. If we find in the two groups of characters a common member, we can use it as a middle term in the syllogistic proof of (say) ‘All S are P’. Take ‘All men are mortal’ as the contemplated conclusion. We find that ‘organism’ is ong the characters entailing the predicate ‘mortal’ and is also found in the group of characters entailed by the subject ‘men’, and thus it may be used in a syllogistic proof of ‘All men are mortal’. To prove negative propositions we must, in addition, consider characters incompatible with the predicate, or incompatible with the subject. Finally, proofs of particular propositions require considering characters that entail the subject.  SYLLOGISM. I.Bo. Popper, Karl Raimund (1902–94), Austrian-born British philosopher best known for contributions to philosophy of science and to social and political philosophy. Educated at the University of Vienna (Ph.D., 1928), he taught philosophy in New Zealand for a decade before becoming a reader and then professor in logic and scientific method at the London School of Economics (1946–69). He was knighted in 1965, elected a fellow of the Royal Society in 1976, and appointed Companion of Honour in 1982 (see his autobiography, Unended Quest, 1976). In opposition to logical positivism’s verifiability criterion of cognitive significance, Popper proposes that science be characterized by its method: the criterion of demarcation of empirical science from pseudo-science and metaphysics is falsifiability (Logik der Forschung, 1934, translated as The Logic of Scientific Discovery, 1959). According to falsificationism, science grows, and may even approach the truth, not by assing supporting evidence, but through an unending cycle of problems, tentative solutions – unjustifiable conjectures – and error elimination; i.e., the vigorous testing of deductive consequences and the refutation of conjectures that fail (Conjectures and Refutations, 1963). Since conjectures are not inferences and refutations are not inductive, there is no inductive inference or inductive logic. More generally, criticism is installed as the hallmark of rationality, and the traditional justificationist insistence on proof, conclusive or inconclusive, on confirmation, and on positive argument, is repudiated. Popper brings to the central problems of Kant’s philosophy an uncompromising realism and objectivism, the tools of modern logic, and a Darwinian perspective on knowledge, thereby solving Hume’s problem of induction without lapsing into irrationalism (Objective Knowledge, 1972). He made contributions of permanent importance also to the axiomatization of probability theory (The Logic of Scientific Discovery, 1959); to its interpretation, especially the propensity interpretation (Postscript to The Logic of Scientific Discovery, 3 vols. 1982–83); and to many other problems (The Self and Its Brain, with John C. Eccles, 1977). Popper’s social philosophy, like his epistemology, is anti-authoritarian. Since it is a historicist error to suppose that we can predict the future of mankind (The Poverty of Historicism, 1957), the prime task of social institutions in an open society – one that encourages criticism and allows rulers to be replaced without violence – must be not large-scale utopian planning but the minimization, through piecemeal reform, of avoidable suffering. This way alone permits proper assessment of success or failure, and thus of learning from experience (The Open Society and Its Enemies, 1945).  CONFIRMATION, DARWINISM, HISTORICISM, LOGICAL POSITIVISM, PHILOSOPHY OF SCIENCE,

PROBABILITY, PROBLEM OF INDUCTION, RATIONALITY. D.W.M. Porphyry (c.232–c.304), Greek Neoplatonist philosopher, second to Plotinus in influence. He was born in Tyre, and is thus sometimes called Porphyry the Phoenician. As a young man he went to Athens, where he absorbed the Platonism of Cassius Longinus, who had in turn been influenced by monius Saccas in Alexandria. Porphyry went to Rome in 263, where he bece a disciple of Plotinus, who had also been influenced by monius. Porphyry lived in Rome until 269, when, urged by Plotinus to pons asinorum Porphyry 722    722 travel as a cure for severe depression, he traveled to Sicily. He remained there for several years before returning to Rome to take over Plotinus’s school. He apparently died in Rome. Porphyry is not noted for original thought. He seems to have dedicated himself to explicating Aristotle’s logic and defending Plotinus’s version of Neoplatonism. During his years in Sicily, Porphyry wrote his two most fous works, the lengthy Against the Christians, of which only fragments survive, and the Isagoge, or “Introduction.” The Isagoge, which purports to give an elementary exposition of the concepts necessary to understand Aristotle’s Categories, was translated into Latin by Boethius and routinely published in the Middle Ages with Latin editions of Aristotle’s Organon, or logical treatises. Its inclusion in that format arguably precipitated the discussion of the so-called problem of universals in the twelfth century. During his later years in Rome, Porphyry collected Plotinus’s writings, editing and organizing them into a scheme of his own – not Plotinus’s – design, six groups of nine treatises, thus called the Enneads. Porphyry prefaced his edition with an informative biography of Plotinus, written shortly before Porphyry’s own death.  NEOPLATONISM, PLOTINUS, TREE OF PORPHYRY. W.E.M. Port-Royal Logic, originally entitled La logique, ou L’art de penser, a treatise on logic, language, and method composed by Antoine Arnauld and Pierre Nicole (1625–95), possibly with the help of Pascal, all of whom were solitaires associated with the convent at Port-Royal-des-Chps, the spiritual and intellectual center of French Jansenism. Originally written as an instruction manual for the son of the Duc de Luynes, the Logic was soon expanded and published (the first edition appeared in 1662, but it was constantly being modified, augmented, and rewritten by its authors; by 1685 six editions in French had appeared). The work develops the linguistic theories presented by Arnauld and Claude Lancelot in the Grmaire générale et raisonnée (1660), and reflects the pedagogical principles embodied in the curriculum of the “little schools” run by PortRoyal. Its content is also permeated by the Cartesianism to which Arnauld was devoted. The Logic’s influence grew beyond Jansenist circles, and it soon bece in seventeenth-century France a standard manual for rigorous thinking. Eventually, it was adopted as a textbook in French schools. The authors declare their goal to be to make thought more precise for better distinguishing truth from error – philosophical and theological – and to develop sound judgment. They are especially concerned to dispel the errors and confusions of the Scholastics. Logic is “the art of directing reason to a knowledge of things for the instruction of ourselves and others.” This art consists in reflecting on the mind’s four principal operations: conceiving, judging, reasoning, and ordering. Accordingly, the Logic is divided into four sections: on ideas and conception, on judgments, on reasoning, and on method. S.N. Posidonius.ACADEMY, COMMENTARIES ON PLATO, STOICISM. positional qualities.QUALITIES. positive and negative freedom, respectively, the area within which the individual is self-determining and the area within which the individual is left free from interference by others. More specifically, one is free in the positive sense to the extent that one has control over one’s life, or rules oneself. In this sense the term is very close to that of ‘autonomy’. The forces that can prevent this self-determination are usually thought of as internal, as desires or passions. This conception of freedom can be said to have originated with Plato, according to whom a person is free when the parts of the soul are rightly related to each other, i.e. the rational part of the soul rules the other parts. Other advocates of positive freedom include Spinoza, Rousseau, Kant, and Hegel. One is free in the negative sense if one is not prevented from doing something by another person. One is prevented from doing something if another person makes it impossible for one to do something or uses coercion to prevent one from doing something. Hence persons are free in the negative sense if they are not made unfree in the negative sense. The term ‘negative liberty’ was coined by Benth to mean the absence of coercion. Advocates of negative freedom include Hobbes, Locke, and Hume.  FREE WILL PROBLEM, KANT, POLITICAL PHILOSOPHY. G.D. positive duty.DUTY. positive feedback.CYBERNETICS. positive freedom.POSITIVE AND NEGATIVE FREEDOM. Port-Royal Logic positive freedom 723    723 positive morality.JURISPRUDENCE. positivism, legal.JURISPRUDENCE, LEGAL POSITIVISM. positivism, logical.

COMTE, LOGICAL POSITIVISM. possibilia.NECESSITY, POSSIBLE WORLDS. possibilist.EPISTEMIC LOGIC. possibility.NECESSITY. possibility, epistemic.EPISTEMIC LOGIC. possible worlds, alternative worlds in terms of which one may think of possibility. The idea of thinking about possibility in terms of such worlds has played an important part, both in Leibnizian philosophical theology and in the development of modal logic and philosophical reflection about it in recent decades. But there are important differences in the forms the idea has taken, and the uses to which it has been put, in the two contexts. Leibniz used it in his account of creation. In his view God’s mind necessarily and eternally contains the ideas of infinitely many worlds that God could have created, and God has chosen the best of these and made it actual, thus creating it. (Similar views are found in the thought of Leibniz’s contemporary, Malebranche.) The possible worlds are thus the complete alternatives ong which God chose. They are possible at least in the sense that they are logically consistent; whether something more is required in order for them to be coherent as worlds is a difficult question in Leibniz interpretation. They are complete in that they are possible totalities of creatures; each includes a whole (possible) universe, in its whole spatial extent and its whole temporal history (if it is spatially and temporally ordered). The temporal completeness deserves emphasis. If “the world of tomorrow” is “a better world” than “the world of today,” it will still be part of the se “possible world” (the actual one); for the actual “world,” in the relevant sense, includes whatever actually has happened or will happen throughout all time. The completeness extends to every detail, so that a milligr’s difference in the weight of the smallest bird would make a different possible world. The completeness of possible worlds may be limited in one way, however. Leibniz speaks of worlds as aggregates of finite things. As alternatives for God’s creation, they may well not be thought of as including God, or at any rate, not every fact about God. For this and other reasons it is not clear that in Leibniz’s thought the possible can be identified with what is true in some possible world, or the necessary with what is true in all possible worlds. That identification is regularly assumed, however, in the recent development of what has become known as possible worlds semantics for modal logic (the logic of possibility and necessity, and of other conceptions, e.g. those pertaining to time and to morality, that have turned out to be formally analogous). The basic idea here is that such notions as those of validity, soundness, and completeness can be defined for modal logic in terms of models constructed from sets of alternative “worlds.” Since the late 1950s many important results have been obtained by this method, whose best-known exponent is Saul Kripke. Some of the most interesting proofs depend on the idea of a relation of accessibility between worlds in the set. Intuitively, one world is accessible from another if and only if the former is possible in (or from the point of view of) the latter. Different systems of modal logic are appropriate depending on the properties of this relation (e.g., on whether it is or is not reflexive and/or transitive and/or symmetrical). The purely formal results of these methods are well established. The application of possible worlds semantics to conceptions occurring in metaphysically richer discourse is more controversial, however. Some of the controversy is related to debates over the metaphysical reality of various sorts of possibility and necessity. Particularly controversial, and also a focus of much interest, have been attempts to understand modal claims de re, about particular individuals as such (e.g., that I could not have been a musical performance), in terms of the identity and nonidentity of individuals in different possible worlds. Similarly, there is debate over the applicability of a related treatment of subjunctive conditionals, developed by Robert Stalnaker and David Lewis, though it is clear that it yields interesting formal results. What is required, on this approach, for the truth of ‘If it were the case that A, then it would be the case that B’, is that, ong those possible worlds in which A is true, some world in which B is true be more similar, in the relevant respects, to the actual world than any world in which B is false. One of the most controversial topics is the nature of possible worlds themselves. Mathematical logicians need not be concerned with this; a wide variety of sets of objects, real or ficpositive morality possible worlds 724    724 titious, can be viewed as having the properties required of sets of “worlds” for their purposes. But if metaphysically robust issues of modality (e.g., whether there are more possible colors than we ever see) are to be understood in terms of possible worlds, the question of the nature of the worlds must be taken seriously. Some philosophers would deny any serious metaphysical role to the notion of possible worlds. At the other extreme, David Lewis has defended a view of possible worlds as concrete totalities, things of the se sort as the whole actual universe, made up of entities like planets, persons, and so forth. On his view, the actuality of the actual world consists only in its being this one, the one that we are in; apart from its relation to us or our linguistic acts, the actual is not metaphysically distinguished from the merely possible. Many philosophers find this result counterintuitive, and the infinity of concrete possible worlds an extravagant ontology; but Lewis argues that his view makes possible attractive reductions of modality (both logical and causal), and of such notions as that of a proposition, to more concrete notions. Other philosophers are prepared to say there are non-actual possible worlds, but that they are entities of a quite different sort from the actual concrete universe – sets of propositions, perhaps, or some other type of “abstract” object. Leibniz himself held a view of this kind, thinking of possible worlds as having their being only in God’s mind, as intentional objects of God’s thought. 

COUNTERFACTUALS, KRIPKE SEMANTICS, MODAL LOGIC. R.M.A. possible worlds semantics.KRIPKE SEMANTICS, POSSIBLE WORLDS. postcard paradox.SEMANTIC PARADOXES. Post-complete.COMPLETENESS. post hoc, ergo propter hoc.INFORMAL FALLACY. postmodern, of or relating to a complex set of reactions to modern philosophy and its presuppositions, as opposed to the kind of agreement on substantive doctrines or philosophical questions that often characterizes a philosophical movement. Although there is little agreement on precisely what the presuppositions of modern philosophy are, and disagreement on which philosophers exemplify these presuppositions, postmodern philosophy typically opposes foundationalism, essentialism, and realism. For Rorty, e.g., the presuppositions to be set aside are foundationalist assumptions shared by the leading sixteenth-, seventeenth-, and eighteenth-century philosophers. For Nietzsche, Heidegger, Foucault, and Derrida, the contested presuppositions to be set aside are as old as metaphysics itself, and are perhaps best exemplified by Plato. Postmodern philosophy has even been characterized, by Lyotard, as preceding modern philosophy, in the sense that the presuppositions of philosophical modernism emerge out of a disposition whose antecedent, unarticulated beliefs are already postmodern. Postmodern philosophy is therefore usefully regarded as a complex cluster concept that includes the following elements: an anti- (or post-) epistemological standpoint; anti-essentialism; anti-realism; anti-foundationalism; opposition to transcendental arguments and transcendental standpoints; rejection of the picture of knowledge as accurate representation; rejection of truth as correspondence to reality; rejection of the very idea of canonical descriptions; rejection of final vocabularies, i.e., rejection of principles, distinctions, and descriptions that are thought to be unconditionally binding for all times, persons, and places; and a suspicion of grand narratives, metanarratives of the sort perhaps best illustrated by dialectical materialism. In addition to these things postmodern philosophy is “against,” it also opposes characterizing this menu of oppositions as relativism, skepticism, or nihilism, and it rejects as “the metaphysics of presence” the traditional, putatively impossible dre of a complete, unique, and closed explanatory system, an explanatory system typically fueled by binary oppositions. On the positive side, one often finds the following themes: its critique of the notion of the neutrality and sovereignty of reason – including insistence on its pervasively gendered, historical, and ethnocentric character; its conception of the social construction of word–world mappings; its tendency to embrace historicism; its critique of the ultimate status of a contrast between epistemology, on the one hand, and the sociology of knowledge, on the other hand; its dissolution of the notion of the autonomous, rational subject; its insistence on the artifactual status of divisions of labor in knowledge acquisition and production; and its bivalence about the Enlightenment and its ideology. Many of these elements or elective affinities were already surfacing in the growing opposition to the spectator theory of knowledge, in Europe and in the English-speaking world, long before possible worlds semantics postmodern 725    725 the term ‘postmodern’ bece a commonplace. In Anglophone philosophy this took the early form of Dewey’s (and pragmatism’s) opposition to positivism, early Kuhn’s redescription of scientific practice, and Wittgenstein’s insistence on the language-ge character of representation; critiques of “the myth of the given” from Sellars to Davidson and Quine; the emergence of epistemology naturalized; and the putative description-dependent character of data, tethered to the theory dependence of descriptions (in Kuhn, Sellars, Quine, and Arthur Fine – perhaps in all constructivists in the philosophy of science). In Europe, many of these elective affinities surfaced explicitly in and were identified with poststructuralism, although traces are clearly evident in Heidegger’s (and later in Derrida’s) attacks on Husserl’s residual Cartesianism; the rejection of essential descriptions (Wesensanschauungen) in Husserl’s sense; Saussure’s and structuralism’s attack on the autonomy and coherence of a transcendental signified standing over against a selftransparent subject; Derrida’s deconstructing the metaphysics of presence; Foucault’s redescriptions of epistemes; the convergence between French- and English-speaking social constructivists; attacks on the language of enabling conditions as reflected in worries about the purchase of necessary and sufficient conditions talk on both sides of the Atlantic; and Lyotard’s many interventions, particularly those against grand narratives. Many of these elective affinities that characterize postmodern philosophy can also be seen in the virtually universal challenges to moral philosophy as it has been understood traditionally in the West, not only in German and French philosophy, but in the reevaluation of “the morality of principles” in the work of MacIntyre, Willis, Nussbaum, John McDowell, and others. The force of postmodern critiques can perhaps best be seen in some of the challenges of feminist theory, as in the work of Judith Butler and Hélène Cixous, and gender theory generally. For it is in gender theory that the conception of “reason” itself as it has functioned in the shared philosophical tradition is redescribed as a conception that, it is often argued, is (en)gendered, patriarchal, homophobic, and deeply optional. The term ‘postmodern’ is less clear in philosophy, its application more uncertain and divided than in some other fields, e.g., postmodern architecture. In architecture the concept is relatively clear. It displaces modernism in assignable ways, emerges as an oppositional force against architectural modernism, a rejection of the work and tradition inaugurated by Walter Gropius, Henri Le Corbusier, and Mies van der Rohe, especially the International Style. In postmodern architecture, the modernist principle of abstraction, of geometric purity and simplicity, is displaced by multivocity and pluralism, by renewed interest in buildings as signs and signifiers, interest in their referential potential and resources. The modernist’s aspiration to buildings that are timeless in an important sense is itself read by postmodernists as an iconography that privileges the brave new world of science and technology, an aspiration that glorifies uncritically the industrial revolution of which it is itself a quintessential expression. This aspiration to timelessness is displaced in postmodern architecture by a direct and self-conscious openness to and engagement with history. It is this relative specificity of the concept postmodern architecture that enabled Charles Jencks to write that “Modern Architecture died in St. Louis Missouri on July 15, 1972 at 3:32 P.M.” Unfortunately, no remotely similar sentence can be written about postmodern philosophy.  ANTI-REALISM, DECONSTRUCTION, FOUCAULT, FOUNDATIONALISM, LYOTARD, RORTY, SOCIAL CONSTRUCTIVISM, STRUCTURALISM. B.M. post-structuralism.CONTINENTAL PHILOSOPHY, LYOTARD, STRUCTURALISM. potency, for Aristotle, a kind of capacity that is a correlative of action. We require no instruction to grasp the difference between ‘X can do Y’ and ‘X is doing Y’, the latter meaning that the deed is actually being done. That an agent has a potency to do something is not a pure prediction so much as a generalization from past performance of individual or kind. Aristotle uses the exple of a builder, meaning someone able to build, and then confronts the Megaric objection that the builder can be called a builder only when he actually builds. Clearly one who is doing something can do it, but Aristotle insists that the napping carpenter has the potency to hmer and saw. A potency based on an acquired skill like carpentry derives from the potency shared by those who acquire and those who do not acquire the skill. An unskilled worker can be said to be a builder “in potency,” not in the sense that he has the skill and can employ it, but in the sense that he can acquire the skill. In both acquisition and employment, ‘potency’ refers to the actual – either the actual acquisition of the skill or its actual use. These post-structuralism potency 726    726 potentiality, first practical attitude 727 correlatives emerged from Aristotle’s analysis of change and becoming. That which, from not having the skill, comes to have it is said to be “in potency” to that skill. From not having a certain shape, wood comes to have a certain shape. In the shaped wood, a potency is actualized. Potency must not be identified with the unshaped, with what Aristotle calls privation. Privation is the negation of P in a subject capable of P. Parmenides’ identification of privation and potency, according to Aristotle, led him to deny change. How can not-P become P? It is the subject of not-P to which the change is attributed and which survives the change that is in potency to X.  ARISTOTLE. R.M. potentiality, first.ARISTOTLE. potentiality, second.ARISTOTLE. pour soi.SARTRE. poverty of the stimulus, a psychological phenomenon exhibited when behavior is stimulusunbound, and hence the immediate stimulus characterized in straightforward physical terms does not completely control behavior. Human beings sort stimuli in various ways and hosts of influences seem to affect when, why, and how we respond – our background beliefs, facility with language, hypotheses about stimuli, etc. Suppose a person visiting a museum notices a painting she has never before seen. Pondering the unfiliar painting, she says, “an bitious visual synthesis of the music of Mahler and the poetry of Keats.” If stimulus (painting) controls response, then her utterance is a product of earlier responses to similar stimuli. Given poverty of the stimulus, no such control is exerted by the stimulus (the painting). Of course, some influence of response must be conceded to the painting, for without it there would be no utterance. However, the utterance may well outstrip the visitor’s conditioning and learning history. Perhaps she had never before talked of painting in terms of music and poetry. The linguist No Chomsky made poverty of the stimulus central to his criticism of B. F. Skinner’s Verbal Behavior (1957). Chomsky argued that there is no predicting, and certainly no critical stimulus control of, much human behavior. G.A.G. power, a disposition; an ability or capacity to yield some outcome. One tradition (which includes Locke) distinguishes active and passive powers. A knife has the active power to slice an apple, which has the passive power to be sliced by the knife. The distinction seems largely grmatical, however. Powers act in concert: the power of a grain of salt to dissolve in water and the water’s power to dissolve the salt are reciprocal and their manifestations mutual. Powers or dispositions are sometimes thought to be relational properties of objects, properties possessed only in virtue of objects standing in appropriate relations to other objects. However, if we distinguish, as we must, between a power and its manifestation, and if we allow that an object could possess a power that it never manifested (a grain of salt remains soluble even if it never dissolves), it would seem that an object could possess a power even if appropriate reciprocal partners for its manifestation were altogether non-existent. This appears to have been Locke’s view (An Essay concerning Human Understanding, 1690) of “secondary qualities” (colors, sounds, and the like), which he regarded as powers of objects to produce certain sorts of sensory experience in observers. Philosophers who take powers seriously disagree over whether powers are intrinsic, “built into” properties (this view, defended by C. B. Martin, seems to have been Locke’s), or whether the connection between properties and the powers they bestow is contingent, dependent perhaps upon contingent laws of nature (a position endorsed by Armstrong). Is the solubility of salt a characteristic built into the salt, or is it a “second-order” property possessed by the salt in virtue of (i) the salt’s possession of some “firstorder” property and (ii) the laws of nature? Reductive analyses of powers, though influential, have not fared well. Suppose a grain of salt is soluble in water. Does this mean that if the salt were placed in water, it would dissolve? No. Imagine that were the salt placed in water, a technician would intervene, imposing an electromagnetic field, thereby preventing the salt from dissolving. Attempts to exclude “blocking” conditions – by appending “other things equal” clauses perhaps – face charges of circularity: in nailing down what other things must be equal we find ourselves appealing to powers. Powers evidently are fundental features of our world.  DISPOSITION, QUALITIES, RELATION, SUPERVENIENCE. J.F.H. power set.SET THEORY. practical argument.PRACTICAL REASONING. practical attitude.PRACTICAL REASONING.    727 practical freedom practical reasoning 728 practical freedom.FREE WILL PROBLEM. practical judgment.AKRASIA. practical logic.INFORMAL LOGIC. practical modality.FREE WILL PROBLEM. practical rationality.RATIONALITY. practical reason, the capacity for argument or demonstrative inference, considered in its application to the task of prescribing or selecting behavior. Some philosophical concerns in this area pertain to the actual thought processes by which plans of action are formulated and carried out in practical situations. A second major issue is what role, if any, practical reason plays in determining norms of conduct. Here there are two fundental positions. Instrumentalism is typified by Hume’s claim that reason is, and ought only to be, the slave of the passions. According to instrumentalism, reason by itself is incapable of influencing action directly. It may do so indirectly, by disclosing facts that arouse motivational impulses. And it fulfills an indispensable function in discerning means–end relations by which our objectives may be attained. But none of those objectives is set by reason. All are set by the passions – the desiderative and aversive impulses aroused in us by what our cognitive faculties apprehend. It does not follow from this alone that ethical motivation reduces to mere desire and aversion, based on the pleasure and pain different courses of action might afford. There might yet be a specifically ethical passion, or it might be that independently based moral injunctions have in themselves a special capacity to provoke ordinary desire and aversion. Nevertheless, instrumentalism is often associated with the view that pleasure and pain, happiness and unhappiness, are the sole objects of value and disvalue, and hence the only possible motivators of conduct. Hence, it is claimed, moral injunctions must be grounded in these motives, and practical reason is of interest only as subordinated to inclination. The alternative to instrumentalism is the view chpioned by Kant, that practical reason is an autonomous source of normative principles, capable of motivating behavior independently of ordinary desire and aversion. On this view it is the passions that lack intrinsic moral import, and the function of practical reason is to limit their motivational role by formulating normative principles binding for all rational agents and founded in the operation of practical reason itself. Theories of this kind usually view moral principles as grounded in consistency, and an impartial respect for the autonomy of all rational agents. To be morally acceptable, principles of conduct must be universalizable, so that all rational agents could behave in the se way without their conduct either destroying itself or being inconsistently motivated. There are advantages and disadvantages to each of these views. Instrumentalism offers a simpler account of both the function of practical reason and the sources of human motivation. But it introduces a strong subjective element by giving primacy to desire, thereby posing a problem of how moral principles can be universally binding. The Kantian approach offers more promise here, since it makes universalizability essential to any type of behavior being moral. But it is more complex, and the claim that the deliverances of practical reason carry intrinsic motivational force is open to challenge. 

practical reasoning, the inferential process by which considerations for or against envisioned courses of action are brought to bear on the formation and execution of intention. The content of a piece of practical reasoning is a practical argument. Practical arguments can be complex, but they are often summarized in syllogistic form. Important issues concerning practical reasoning include how it relates to theoretical reasoning, whether it is a causal process, and how it can be evaluated. Theories of practical reasoning tend to divide into two basic categories. On one sort of view, the intrinsic features of practical reasoning exhibit little or no difference from those of theoretical reasoning. What makes practical reasoning practical is its subject matter and motivation. Hence the following could be a bona fide practical syllogism: Exercise would be good for me. Jogging is exercise. Therefore, jogging would be good for me. This argument has practical subject matter, and if made with a view toward intention formation it would be practical in motivation also. But it consists entirely of propositions, which are appropriate contents for belief-states. In princi   728 ple, therefore, an agent could accept its conclusion without intending or even desiring to jog. Intention formation requires a further step. But if the content of an intention cannot be a proposition, that step could not count in itself as practical reasoning unless such reasoning can employ the contents of strictly practical mental states. Hence many philosophers call for practical syllogisms such as: Would that I exercise. Jogging is exercise. Therefore, I shall go jogging. Here the first premise is optative and understood to represent the content of a desire, and the conclusion is the content of a decision or act of intention formation. These contents are not true or false, and so are not propositions. Theories that restrict the contents of practical reasoning to propositions have the advantage that they allow such reasoning to be evaluated in terms of filiar logical principles. Those that permit the inclusion of optative content entail a need for more complex modes of evaluation. However, they bring more of the process of intention formation under the aegis of reason; also, they can be extended to cover the execution of intentions, in terms of syllogisms that terminate in volition. Both accounts must deal with cases of self-deception, in which the considerations an agent cites to justify a decision are not those from which it sprang, and cases of akrasia, where the agent views one course of action as superior, yet carries out another. Because mental content is always abstract, it cannot in itself be a nomic cause of behavior. But the states and events to which it belongs – desires, beliefs, etc. – can count as causes, and are so treated in deterministic explanations of action. Opponents of determinism reject this step, and seek to explain action solely through the teleological or justifying force carried by mental content. Practical syllogisms often summarize very complex thought processes, in which multiple options are considered, each with its own positive and negative aspects. Some philosophers hold that when successfully concluded, this process issues in a judgment of what action would be best all things considered – i.e., in light of all relevant considerations. Practical reasoning can be evaluated in numerous ways. Some concern the reasoning process itself: whether it is timely and duly considers the relevant alternatives, as well as whether it is well structured logically. Other concerns have to do with the products of practical reasoning. Decisions may be deemed irrational if they result in incompatible intentions, or conflict with the agent’s beliefs regarding what is possible. They may also be criticized if they conflict with the agent’s best interests. Finally, an agent’s intentions can fail to accord with standards of morality. The relationship ong these ways of evaluating intentions is important to the foundations of ethics. 
practition, Castañeda’s term for the characteristic content of practical thinking. Each practition represents an action as something to be done, say, as intended, commanded, recommended, etc., and not as an accomplishment or prediction. Thus, unlike propositions, practitions are not truth-valued, but they can be components of valid arguments and so possess values akin to truth; e.g., the command ‘Jes, extinguish your cigar!’ seems legitimate given that Jes is smoking a cigar in a crowded bus. Acknowledging practitions is directly relevant to many other fields. 

 praedicenta (singular: praedicentum), in medieval philosophy, the ten Aristotelian categories: substance, quantity, quality, relation, where, when, position (i.e., orientation – e.g., “upright”), having, action, and passivity. These were the ten most general of all genera. All of them except substance were regarded as accidental. It was disputed whether this tenfold classification was intended as a linguistic division ong categorematic terms or as an ontological division ong extralinguistic realities. Some authors held that the division was primarily linguistic, and that extralinguistic realities were divided according to some but not all the praedicenta. Most authors held that everything in any way real belonged to one praedicentum or another, although some made an exception for God. But authors who believed in complexe significabile usually regarded them as not belonging practical syllogism praedicenta 729    729 to any praedicentum. 
pragmatic contradiction, a contradiction that is generated by pragmatic rather than logical implication. A logically implies B if it is impossible for B to be false if A is true, whereas A pragmatically implies B if in most (but not necessarily all) contexts, saying ‘A’ can reasonably be taken as indicating that B is true. Thus, if I say, “It’s raining,” what I say does not logically imply that I believe that it is raining, since it is possible for it to be raining without my believing it is. Nor does my saying that it is raining logically imply that I believe that it is, since it is possible for me to say this without believing it. But my saying this does pragmatically imply that I believe that it is raining, since normally my saying this can reasonably be taken to indicate that I believe it. Accordingly, if I were to say, “It’s raining but I don’t believe that it’s raining,” the result would be a pragmatic contradiction. The first part (“It’s raining”) does not logically imply the negation of the second part (“I don’t believe that it’s raining”) but my saying the first part does pragmatically imply the negation of the second part. 

pragmatism, a philosophy that stresses the relation of theory to praxis and takes the continuity of experience and nature as revealed through the outcome of directed action as the starting point for reflection. Experience is the ongoing transaction of organism and environment, i.e., both subject and object are constituted in the process. When intelligently ordered, initial conditions are deliberately transformed according to ends-inview, i.e., intentionally, into a subsequent state of affairs thought to be more desirable. Knowledge is therefore guided by interests or values. Since the reality of objects cannot be known prior to experience, truth claims can be justified only as the fulfillment of conditions that are experimentally determined, i.e., the outcome of inquiry. As a philosophic movement, pragmatism was first formulated by Peirce in the early 1870s in the Metaphysical Club in Cbridge, Massachusetts; it was announced as a distinctive position in Jes’s 1898 address to the Philosophical Union at the University of California at Berkeley, and further elaborated according to the Chicago School, especially by Dewey, Mead, and Jane Adds (1860–1935). Emphasis on the reciprocity of theory and praxis, knowledge and action, facts and values, follows from its postDarwinian understanding of human experience, including cognition, as a developmental, historically contingent, process. C. I. Lewis’s pragmatic a priori and Quine’s rejection of the analytic– synthetic distinction develop these insights further. Knowledge is instrumental – a tool for organizing experience satisfactorily. Concepts are habits of belief or rules of action. Truth cannot be determined solely by epistemological criteria because the adequacy of these criteria cannot be determined apart from the goals sought and values instantiated. Values, which arise in historically specific cultural situations, are intelligently appropriated only to the extent that they satisfactorily resolve problems and are judged worth retaining. According to pragmatic theories of truth, truths are beliefs that are confirmed in the course of experience and are therefore fallible, subject to further revision. True beliefs for Peirce represent real objects as successively confirmed until they converge on a final determination; for Jes, leadings that are worthwhile; and according to Dewey’s theory of inquiry, the transformation of an indeterminate situation into a determinate one that leads to warranted assertions. Pragmatic ethics is naturalistic, pluralistic, developmental, and experimental. It reflects on the motivations influencing ethical systems, exines the individual developmental process wherein an individual’s values are gradually distinguished from those of society, situates moral judgments within problematic situations irreducibly individual and social, and proposes as ultimate criteria for decision making the value for life as growth, determined by all those affected by the actual or projected outcomes. The original interdisciplinary development of pragmatism continues in its influence on the humanities. Oliver Wendell Holmes, Jr., member of the Metaphysical Club, later justice of the U.S. Supreme Court, developed a pragmatic theory of law. Peirce’s Principle of Pragmatism, by which meaning resides in conceivable practical effects, and his triadic theory of signs developed into the pragmatic biguity pragmatism 730    730 field of semiotics. Jes’s Principles of Psychology (1890) not only established experimental psychology in North erica, but shifted philosophical attention away from abstract analyses of rationality to the continuity of the biological and the mental. The reflex arc theory was reconstructed into an interactive loop of perception, feeling, thinking, and behavior, and joined with the selective interest of consciousness to become the basis of radical empiricism. Mead’s theory of the emergence of self and mind in social acts and Dewey’s analyses of the individual and society influenced the human sciences. Dewey’s theory of education as community-oriented, based on the psychological developmental stages of growth, and directed toward full participation in a democratic society, was the philosophical basis of progressive education.  CONTEXTUALISM, DEWEY, JES, NATURALISM, PEIRCE. C.H.S. pragmatism, ethical.MORAL EPISTEMOLOGY. praxis (from Greek prasso, ‘doing’, ‘acting’), in Aristotle, the sphere of thought and action that comprises the ethical and political life of man, contrasted with the theoretical designs of logic and epistemology (theoria). It was thus that ‘praxis’ acquired its general definition of ‘practice’ through a contrastive comparison with ‘theory’. Throughout the history of Western philosophy the concept of praxis found a place in a variety of philosophical vocabularies. Marx and the neoMarxists linked the concept with a production paradigm in the interests of historical explanation. Within such a scheme of things the activities constituting the relations of production and exchange are seen as the dominant features of the socioeconomic history of humankind. Significations of ‘praxis’ are also discernible in the root meaning of pragma (deed, affair), which informed the development of erican pragmatism. In more recent times the notion of praxis has played a prominent role in the formation of the school of critical theory, in which the performatives of praxis are seen to be more directly associated with the entwined phenomena of discourse, communication, and social practices. The central philosophical issues addressed in the current literature on praxis have to do with the theory–practice relationship and the problems associated with a value-free science. The general thrust is that of undermining or subverting the traditional bifurcation of theory and practice via a recognition of praxis-oriented endeavors that antedate both theory construction and the construal of practice as a mere application of theory. Both the project of “pure theory,” which makes claims for a value-neutral standpoint, and the purely instrumentalist understanding of practice, as itself shorn of discernment and insight, are jettisoned. The consequent philosophical task becomes that of understanding human thought and action against the backdrop of the everyday communicative endeavors, habits, and skills, and social practices that make up our inheritance in the world.

 CRITICAL THEORY, MARX, MARXISM. C.O.S. Praxis school, a school of philosophy originating in Zagreb and Belgrade which, from 1964 to 1974, published the international edition of the leading postwar Marxist journal Praxis. During the se period, it organized the Korcula Summer School, which attracted scholars from around the Western world. In a reduced form the school continues each spring with the Social Philosophy Course in Dubrovnik, Croatia. The founders of praxis philosophy include Gajo Petrovic (Zagreb), Milan Kangrga (Zagreb), and Mihailo Markovic (Belgrade). Another wellknown member of the group is Svetozar Stojanovic (Belgrade), and a second-generation leader is Gvozden Flego (Zagreb). The Praxis school emphasized the writings of the young Marx while subjecting dogmatic Marxism to one of its strongest criticisms. Distinguishing between Marx’s and Engels’s writings and emphasizing alienation and a dynic concept of the human being, it contributed to a greater understanding of the interrelationship between the individual and society. Through its insistence on Marx’s call for a “ruthless critique,” the school stressed open inquiry and freedom of speech in both East and West. Quite possibly the most important and original philosopher of the group, and certainly Croatia’s leading twentieth-century philosopher, was Gajo Petrovic (1927–93). He called for (1) understanding philosophy as a radical critique of all existing things, and (2) understanding human beings as beings of praxis and creativity. This later led to a view of human beings as revolutionary by nature. At present he is probably best remembered for his Marx in the Mid-Twentieth Century and Philosophie und Revolution. Milan Kangrga (b.1923) also emphasizes human creativity while insisting that one should understand human beings as producers who humanize nature. An ethical problematic of humanity can pragmatism, ethical Praxis school 731    731 be realized through a variety of disciplines that include aesthetics, philosophical anthropolgy, theory of knowledge, ontology, and social thought. Mihailo Markovic (b.1923), a member of the Belgrade Eight, is best known for his theory of meaning, which leads him to a theory of socialist humanism. His most widely read work in the West is From Affluence to Praxis: Philosophy and Social Criticism.  MARXISM, PRAXIS. J.Bi. & H.P. preanalytic, considered but naive; commonsensical; not tainted by prior explicit theorizing; said of judgments and, derivatively, of beliefs or intuitions underlying such judgments. Preanalytic judgments are often used to test philosophical theses. All things considered, we prefer theories that accord with preanalytic judgments to those that do not, although most theorists exhibit a willingness to revise preanalytic assessments in light of subsequent inquiry. Thus, a preanalytic judgment might be thought to constitute a starting point for the philosophical consideration of a given topic. Is justice giving every man his due? It may seem so, preanalytically. Attention to concrete exples, however, may lead us to a different view. It is doubtful, even in such cases, that we altogether abandon preanalytic judgments. Rather, we endeavor to reconcile apparently competing judgments, making adjustments in a way that optimizes overall coherence.  PRETHEORETICAL, REFLECTIVE EQUILIBRIUM. J.F.H. precising definition.DEFINITION. precognition.PARAPSYCHOLOGY. preconscious.FREUD. pre-Critical.KANT. predestination.
FREE WILL PROBLEM. predicables, also praedicabilia, sometimes called the quinque voces (five words), in medieval philosophy, genus, species, difference, proprium, and accident, the five main ways general predicates can be predicated. The list comes from Porphyry’s Isagoge. It was debated whether it applies to linguistic predicates only or also to extralinguistic universals. Things that have accidents can exist without them; other predicables belong necessarily to whatever has them. (The Aristotelian/Porphyrian notion of “inseparable accident” blurs this picture.) Genus and species are natural kinds; other predicables are not. A natural kind that is not a narrowest natural kind is a genus; one that is not a broadest natural kind is a species. (Some genera are also species.) A proprium is not a species, but is coextensive with one. A difference belongs necessarily to whatever has it, but is neither a natural kind nor coextensive with one.  ACCIDENT, DEFINITION, PRAEDICENTA, PROPRIUM. P.V.S. predicate.GRMAR, LOGICAL SUBJECT. predicate, projectible.GRUE PARADOX. predicate calculus.FORMAL LOGIC. predicate hierarchy.HIERARCHY. predicate logic.FORMAL LOGIC. predication.QUALITIES. predication, ‘is’ of.IS. predicative property.TYPE THEORY. prediction.PHILOSOPHY OF SCIENCE. prediction paradox.PARADOX. preemptive cause.CAUSATION. preestablished harmony.LEIBNIZ, PHILOSOPHY OF MIND. preexistence, existence of the individual soul or psyche prior to its current embodiment, when the soul or psyche is taken to be separable and capable of existing independently from its embodiment. The current embodiment is then often described as a reincarnation of the soul. Plato’s Socrates refers to such a doctrine several times in the dialogues, notably in the myth of Er in Book X of the Republic. The doctrine is distinguished from two other teachings about the soul: creationism, which holds that the individual human soul is directly created by God, and traducianism, which held that just as body begets body in biological generation, so the soul of the new human being is begotten by the parental soul. In Hinduism, the cycle of reincarnations represents the period of estrangement and trial for the soul or Atman before it achieves release (moksha).
prescriptivism, the theory that evaluative judgments necessarily have prescriptive meaning. Associated with noncognitivism and moral antirealism, prescriptivism holds that moral language is such that, if you say that you think one ought to do a certain kind of act, and yet you are not committed to doing that kind of act in the relevant circumstances, then you either spoke insincerely or are using the word ‘ought’ in a less than full-blooded sense. Prescriptivism owes its stature to Hare. One of his innovations is the distinction between “secondarily evaluative” and “primarily evaluative” words. The prescriptive meaning of secondarily evaluative words, such as ‘soft-hearted’ or ‘chaste’, may vary significantly while their descriptive meanings stay relatively constant. Hare argues the reverse for the primarily evaluative words ‘good’, ‘bad’, ‘right’, ‘wrong’, ‘ought’, and ‘must’. For exple, some people assign to ‘wrong’ the descriptive meaning ‘forbidden by God’, others assign it the descriptive meaning ‘causes social conflict’, and others give it different descriptive meanings; but since all use ‘wrong’ with the se prescriptive meaning, they are using the se concept. In part to show how moral judgments can be prescriptive and yet have the se logical relations as indicative sentences, Hare distinguished between phrastics and neustics. The phrastic, or content, can be the se in indicative and prescriptive sentences; e.g., ‘S’s leaving’ is the phrastic not only of the indicative ‘S will leave’ but also of the prescription ‘S ought to leave’. Hare’s Language of Morals (1952) specified that the neustic indicates mood, i.e., whether the sentence is indicative, imperative, interrogative, etc. However, in an article in Mind (1989) and in Sorting Out Ethics (1997), he used ‘neustic’ to refer to the sign of subscription, and ‘tropic’ to refer to the sign of mood. Prescriptivity is especially important if moral judgments are universalizable. For then we can employ golden rule–style moral reasoning. 
EMOTIVISM, ETHICS, HARE, UNIVERSALIZABILITY. B.W.H. present-aim theory.PARFIT. pre-Socratics, the early Greek philosophers who were not influenced by Socrates. (Generally they lived before Socrates, but some are contemporary with him or even younger.) The classification (though not the term) goes back to Aristotle, who saw Socrates’ humanism and emphasis on ethical issues as a watershed in the history of philosophy. Aristotle rightly noted that philosophers prior to Socrates had stressed natural philosophy and cosmology rather than ethics. He credited them with discovering material principles and moving causes of natural events, but he criticized them for failing to stress structural elements of things (formal causes) and values or purposes (final causes). Unfortunately, no writing of any pre-Socratic survives in more than a fragmentary form, and evidence of their views is thus often indirect, based on reports or criticisms of later writers. In order to reconstruct pre-Socratic thought, scholars have sought to collect testimonies of ancient sources and to identify quotations from the preSocratics in those sources. As modern research has revealed flaws in the interpretations of ancient witnesses, it has become a principle of exegesis to base reconstructions of their views on the actual words of the pre-Socratics themselves wherever possible. Because of the fragmentary and derivative nature of our evidence, even basic principles of a philosopher’s system sometimes remain controversial; nevertheless, we can say that thanks to modern methods of historiography, there are many points we understand better than ancient witnesses who are our secondary sources. Our best ancient secondary source is Aristotle, who lived soon after the pre-Socratics and had access to most of their writings. He interprets his predecessors from the standpoint of his own theory; but any historian must interpret philosophers in light of some theoretical background. Since we have extensive writings of Aristotle, we    733 pre-Socratics pre-Socratics 734 understand his system and can filter out his own prejudices. His colleague Theophrastus was the first professional historian of philosophy. Adopting Aristotle’s general frework, he systematically discussed pre-Socratic theories. Unfortunately his work itself is lost, but many fragments and summaries of parts of it remain. Indeed, virtually all ancient witnesses writing after Theophrastus depend on him for their general understanding of the early philosophers, sometimes by way of digests of his work. When biography bece an important genre in later antiquity, biographers collected facts, anecdotes, slanders, chronologies (often based on crude a priori assumptions), lists of book titles, and successions of school directors, which provide potentially valuable information. By reconstructing ancient theories, we can trace the broad outlines of pre-Socratic development with some confidence. The first philosophers were the Milesians, philosophers of Miletus on the Ionian coast of Asia Minor, who in the sixth century B.C. broke away from mythological modes of explanation by accounting for all phenomena, even apparent prodigies of nature, by means of simple physical hypotheses. Aristotle saw the Milesians as material monists, positing a physical substrate – of water, or the apeiron, or air; but their material source was probably not a continuing substance that underlies all changes as Aristotle thought, but rather an original stuff that was transformed into different stuffs. Pythagoras migrated from Ionia to southern Italy, founding a school of Pythagoreans who believed that souls transmigrated and that number was the basis of all reality. Because Pythagoras and his early followers did not publish anything, it is difficult to trace their development and influence in detail. Back in Ionia, Heraclitus criticized Milesian principles because he saw that if substances changed into one another, the process of transformation was more important than the substances that appeared in the cycle of changes. He thus chose the unstable substance fire as his material principle and stressed the unity of opposites. Parmenides and the Eleatic School criticized the notion of notbeing that theories of physical transformations seemed to presuppose. One cannot even conceive of or talk of not-being; hence any conception that presupposes not-being must be ruled out. But the basic notions of coming-to-be, differentiation, and indeed change in general presuppose not-being, and thus must be rejected. Eleatic analysis leads to the further conclusion, implicit in Parmenides, explicit in Melissus, that there is only one substance, what-is. Since this substance does not come into being or change in any way, nor does it have any internal differentiations, the world is just a single changeless, homogeneous individual. Parmenides’ argument seems to undermine the foundations of natural philosophy. After Parmenides philosophers who wished to continue natural philosophy felt compelled to grant that coming-to-be and internal differentiation of a given substance were impossible. But in order to accommodate natural processes, they posited a plurality of unchanging, homogeneous elements – the four elements of Empedocles, the elemental stuffs of Anaxagoras, the atoms of Democritus – that by arrangement and rearrangement could produce the cosmos and the things in it. There is no real coming-to-be and perishing in the world since the ultimate substances are everlasting; but some limited kind of change such as chemical combination or mixture or locomotion could account for changing phenomena in the world of experience. Thus the “pluralists” incorporated Eleatic principles into their systems while rejecting the more radical implications of the Eleatic critique. Pre-Socratic philosophers developed more complex systems as a response to theoretical criticisms. They focused on cosmology and natural philosophy in general, chpioning reason and nature against mythological traditions. Yet the pre-Socratics have been criticized both for being too narrowly scientific in interest and for not being scientific (experimental) enough. While there is some justice in both criticisms, their interests showed breadth as well as narrowness, and they at least made significant conceptual progress in providing a frework for scientific and philosophical ideas. While they never developed sophisticated theories of ethics, logic, epistemology, or metaphysics, nor invented experimental methods of confirmation, they did introduce the concepts that ultimately bece fundental in modern theories of cosmic, biological, and cultural evolution, as well as in atomism, genetics, and social contract theory. Because the Socratic revolution turned philosophy in different directions, the pre-Socratic line died out. But the first philosophers supplied much inspiration for the sophisticated fourthcentury systems of Plato and Aristotle as well as the basic principles of the great Hellenistic schools, Epicureanism, Stoicism, and Skepticism. 
MILESIANS, PARMENIDES, PYTHAGORAS. D.W.G. presupposition, (1) a relation between sentences or statements, related to but distinct from entailment and assertion; (2) what a speaker takes to be understood in making an assertion. The first notion is semantic, the second pragmatic. The semantic notion was introduced by Strawson in his attack on Russell’s theory of descriptions, and perhaps anticipated by Frege. Strawson argued that ‘The present king of France is bald’ does not entail ‘There is a present king of France’ as Russell held, but instead presupposes it. Semantic presupposition can be defined thus: a sentence or statement S presupposes a sentence or statement SH provided S entails SH and the negation of S also entails SH . SH is a condition of the truth or falsity of S. Thus, since ‘There is a present king of France’ is false, ‘The present king of France is bald’ is argued to be neither true nor false. So construed, presupposition is defined in terms of, but is distinct from, entailment. It is also distinct from assertion, since it is viewed as a precondition of the truth or falsity of what is asserted. The pragmatic conception does not appeal to truth conditions, but instead contrasts what a speaker presupposes and what that speaker asserts in making an utterance. Thus, someone who utters ‘The present king of France is bald’ presupposes – believes and believes that the audience believes – that there is a present king of France, and asserts that this king is bald. So conceived, presuppositions are beliefs that the speaker takes for granted; if these beliefs are false, the utterance will be inappropriate in some way, but it does not follow that the sentence uttered lacks a truth-value. These two notions of presupposition are logically independent. On the semantic characterization, presupposition is a relation between sentences or statements requiring that there be truth-value gaps. On the pragmatic characterization, it is speakers rather than sentences or statements that have presuppositions; no truth-value gaps are required. Many philosophers and linguists have argued for treating what have been taken to be cases of semantic presupposition, including the one discussed above, as pragmatic phenomena. Some have denied that semantic presuppositions exist. If not, intuitions about presupposition do not support the claims that natural languages have truth-value gaps and that we need a three-valued logic to represent the semantics of natural language adequately. Presupposition is also distinct from implicature. If someone reports that he has just torn his coat and you say, “There’s a tailor shop around the corner,” you conversationally implicate that the shop is open. This is not a semantic presupposition because if it is false that the shop is open, there is no inclination to say that your assertion was neither true nor false. It is not a pragmatic presupposition because it is not something you believe the hearer believes.  IMPLICATION, IMPLICATURE, MANY-VALUED LOGIC. R.B. pretheoretical, independent of theory. More specifically, a proposition is pretheoretical, according to some philosophers, if and only if it does not depend for its plausibility or implausibility on theoretical considerations or considerations of theoretical analysis. The term ‘preanalytic’ is often used synonymously with ‘pretheoretical’, but the former is more properly paired with analysis rather than with theory. Some philosophers characterize pretheoretical propositions as “intuitively” plausible or implausible. Such propositions, they hold, can regulate philosophical theorizing as follows: in general, an adequate philosophical theory should not conflict with intuitively plausible propositions (by implying intuitively implausible propositions), and should imply intuitively plausible propositions. Some philosophers grant that theoretical considerations can override “intuitions” – in the sense of intuitively plausible propositions – when overall theoretical coherence (or reflective equilibrium) is thereby enhanced. 
Price, Richard (1723–91), Welsh Dissenting minister, actuary, and moral philosopher. His main work, A Review of the Principal Question in Morals (1758), is a defense of rationalism in ethics. He argued that the understanding immediately perceives simple, objective, moral qualities of actions. The resulting intuitive knowledge of moral truths is accompanied by feelings of approval and disapproval responsible for moral motivation. He also wrote influential papers on life expectancy, public finance, and annuities; communicated to the Royal Society the paper by his deceased friend Thomas Bayes containing Bayes’s theorem; and defended the erican and French revolutions. Burke’s Reflections on the Revolution in France is a response to one of Price’s sermons. J.W.A. presupposition Price, Richard 735    735 Prichard, H(arold) A(rthur) (1871–1947), English philosopher and founder of the Oxford school of intuitionism. An Oxford fellow and professor, he published Kant’s Theory of Knowledge (1909) and numerous essays, collected in Moral Obligation (1949, 1968) and in Knowledge and Perception (1950). Prichard was a realist in his theory of knowledge, following Cook Wilson. He held that through direct perception in concrete cases we obtain knowledge of universals and of necessary connections between them, and he elaborated a theory about our knowledge of material objects. In “Does Moral Philosophy Rest on a Mistake?” (1912) he argued powerfully that it is wrong to think that a general theory of obligation is possible. No single principle captures the various reasons why obligatory acts are obligatory. Only by direct perception in particular cases can we see what we ought to do. With this essay Prichard founded the Oxford school of intuitionism, carried on by, ong others, Ross.  ETHICS, ROSS. J.B.S. Priestley, Joseph (1733–1804), British experimental chemist, theologian, and philosopher. In 1774 he prepared oxygen by heating mercuric oxide. Although he continued to favor the phlogiston hypothesis, his work did much to discredit that idea. He discovered many gases, including monia, sulfur dioxide, carbon monoxide, and hydrochloric acid. While studying the layer of carbon dioxide over a brewing vat, he conceived the idea of dissolving it under pressure. The resulting “soda water” was fous throughout Europe. His Essay on Government (1768) influenced Jefferson’s ideas in the erican Declaration of Independence. The essay also contributed to the utilitarianism of Benth, supplying the phrase “the greatest happiness of the greatest number.” Priestley modified the associationism of Locke, Hume, and Hartley, holding that a sharp distinction must be drawn between the results of association in forming natural propensities and its effects on the development of moral ideas. On the basis of this distinction, he argued, against Hume, that differences in individual moral sentiments are results of education, through the association of ideas, a view anticipated by Helvétius. Priestley served as minister to anti-Establishment congregations. His unpopular stress on individual freedom resulted in his move to Pennsylvania, where he spent his last years. R.E.B. prima facie duty.DUTY, ROSS. prima facie evidence.EVIDENCE. prima facie justification.JUSTIFICATION. prima facie right.RIGHTS. primarily valuative word.PRESCRIPTIVISM. primary process.FREUD. primary qualities.QUALITIES. primary rule.HART. primary substance.ARISTOTLE. prime matter.HYLOMORPHISM. prime mover, the original source and cause of motion (change) in the universe – an idea that was developed by Aristotle and bece important in Judaic, Christian, and Islic thought about God. According to Aristotle, something that is in motion (a process of change) is moving from a state of potentiality to a state of actuality. For exple, water that is being heated is potentially hot and in the process of becoming actually hot. If a cause of change must itself actually be in the state that it is bringing about, then nothing can produce motion in itself; whatever is in motion is being moved by another. For otherwise something would be both potentially and actually in the se state. Thus, the water that is potentially hot can become hot only by being changed by something else (the fire) that is actually hot. The prime mover, the original cause of motion, must itself, therefore, not be in motion; it is an unmoved mover. Aquinas and other theologians viewed God as the prime mover, the ultimate cause of all motion. Indeed, for these theologians the argument to establish the existence of a first mover, itself unmoved, was a principal argument used in their efforts to prove the existence of God on the basis of reason. Many modern thinkers question the argument for a first mover on the ground that it does not seem to be logically impossible that the motion of one thing be caused by a second thing whose motion in turn is caused by a third thing, and so on without end. Defenders of the argument claim that it presupposes a distinction between two different causal series, one temporal and one simultaneous, and argue that the objection succeeds only against a temporal causal series. Prichard, H(arold) A(rthur) prime mover 736    736  AGENT CAUSATION, AQUINAS, ARISTOTLE. W.L.R. primitive symbol.LOGISTIC SYSTEM. principium individuationis, the cause (or basis) of individuality in individuals; what makes something individual as opposed to universal, e.g., what makes the cat Minina individual and thus different from the universal, cat. Questions regarding the principle of individuation were first raised explicitly in the early Middle Ages. Classical authors largely ignored individuation; their ontological focus was on the problem of universals. The key texts that originated the discussion of the principle of individuation are found in Boethius. Between Boethius and 1150, individuation was always discussed in the context of more pressing issues, particularly the problem of universals. After 1150, individuation slowly emerged as a focus of attention, so that by the end of the thirteenth century it had become an independent subject of discussion, especially in Aquinas and Duns Scotus. Most early modern philosophers conceived the problem of individuation epistemically rather than metaphysically; they focused on the discernibility of individuals rather than the cause of individuation (Descartes). With few exceptions (Karl Popper), the twentieth century has followed this epistemic approach (P. F. Strawson).  INDIVIDUATION, METAPHYSICS. J.J.E.G. principle of bivalence, the principle that any (significant) statement is either true or false. It is often confused with the principle of excluded middle. Letting ‘Tp’ stand for ‘p is true’ and ‘Tp’ for ‘p is false’ and otherwise using standard logical notation, bivalence is ‘Tp 7 T-p’ and excluded middle is ‘T (p 7 -p)’. That they are different principles is shown by the fact that in probability theory, where ‘Tp’ can be expressed as ‘Pr(p) % 1’, bivalence ‘(Pr (p) % 1) 7 (Pr (~p) % 1)’ is not true for all values of p – e.g. it is not true where ‘p’ stands for ‘given a fair toss of a fair die, the result will be a six’ (a statement with a probability of 1 /6, where -p has a probability of 5 /6) – but excluded middle ‘Pr(p 7 -p) % 1’ is true for all definite values of p, including the probability case just given. If we allow that some (significant) statements have no truth-value or probability and distinguish external negation ‘Tp’ from internal negation ‘T-p’, we can distinguish bivalence and excluded middle from the principle of non-contradiction, nely, ‘-(Tp • T-p)’, which is equivalent to ‘-Tp 7 -T-p’. Standard truth-functional logic sees no difference between ‘p’ and ‘Tp’, or ‘-Tp’ and ‘T-p’, and thus is unable to distinguish the three principles. Some philosophers of logic deny there is such a difference. 
MANY-VALUED LOGIC, PHILOSOPHY OF LOGIC, VAGUENESS. R.P. principle of charity.MEANING. principle of comprehension.SET THEORY. principle of concretion.WHITEHEAD. principle of conservation.PHILOSOPHY OF SCIENCE. principle of contradiction, also called principle of non-contradiction, the principle that a statement and its negation cannot both be true. It can be distinguished from the principle of bivalence, and given certain controversial assumptions, from the principle of excluded middle; but in truth-functional logic all three are regarded as equivalent. Outside of formal logic the principle of (non-)contradiction is best expressed as Aristotle expresses it: “Nothing can both be and not be at the se time in the se respect.”  LAWS OF THOUGHT, PRINCIPLE OF BIVALENCE. R.P. principle of determinism.MILL’S METHODS. principle of dominance.NEWCOMB’S PARADOX. principle of double effect, the view that there is a morally relevant difference between those consequences of our actions we intend and those we do not intend but do still foresee. According to the principle, if increased literacy means a higher suicide rate, those who work for education are not guilty of driving people to kill themselves. A physician may give a patient painkillers foreseeing that they will shorten his life, even though the use of outright poisons is forbidden and the physician does not intend to shorten the patient’s life. An army attacking a legitimate military target may accept as inevitable, without intending to bring about, the deaths of a number of civilians. Traditional moral theologians affirmed the existence of exceptionless prohibitions such as primitive symbol principle of double effect 737    737 that against taking an innocent human life, while using the principle of double effect to resolve hard cases and avoid moral blind alleys. They held that one may produce a forbidden effect, provided (1) one’s action also had a good effect, (2) one did not seek the bad effect as an end or as a means, (3) one did not produce the good effect through the bad effect, and (4) the good effect was important enough to outweigh the bad one. Some contemporary philosophers and Roman Catholic theologians hold that a modified version of the principle of double effect is the sole justification of deadly deeds, even when the person killed is not innocent. They drop any restriction on the causal sequence, so that (e.g.) it is legitimate to cut off the head of an unborn child to save the mother’s life. But they oppose capital punishment on the ground that those who inflict it require the death of the convict as part of their plan. They also play down the fourth requirement, on the ground that the weighing of incommensurable goods it requires is impossible. Consequentialists deny the principle of double effect, as do those for whom the crucial distinction is between what we cause by our actions and what just happens. In the most plausible view, the principle does not presuppose exceptionless moral prohibitions, only something stronger than prima facie duties. It is easier to justify an oblique evasion of a moral requirement than a direct violation, even if direct violations are sometimes permissible. So understood, the principle is a guide to prudence rather than a substitute for it.  ETHICS, EUTHANASIA, INTENTION, JUST WAR THEORY. P.E.D. principle of excluded middle, the principle that the disjunction of any (significant) statement with its negation is always true; e.g., ‘Either there is a tree over 500 feet tall or it is not the case that there is such a tree’. The principle is often confused with the principle of bivalence.  PRINCIPLE OF BIVALENCE. R.P. principle of generic consistency.UNIVERSALIZABILITY. principle of indifference, a rule for assigning a probability to an event based on “parity of reasons.” According to the principle, when the “weight of reasons” favoring one event is equal to the “weight of reasons” favoring another, the two events should be assigned the se probability. When there are n mutually exclusive and collectively exhaustive events, and there is no reason to favor one over another, then we should be “indifferent” and the n events should each be assigned probability 1/n (the events are equiprobable), according to the principle. This principle is usually associated with the nes Bernoulli (Ars Conjectandi, 1713) and Laplace (Théorie analytique des probabilités, 1812), and was so called by J. M. Keynes (A Treatise on Probability, 1921). The principle gives probability both a subjective (“degree of belief”) and a logical (“partial logical entailment”) interpretation. One rationale for the principle says that in ignorance, when no reasons favor one event over another, we should assign equal probabilities. It has been countered that any assignment of probabilities at all is a claim to some knowledge. Also, several seemingly natural applications of the principle, involving non-linearly related variables, have led to some mathematical contradictions, known as Bertrand’s paradox, and pointed out by Keynes.  BERTRAND’S PARADOX, EQUIPROBABLE, KEYNES, LAPLACE, PROBABILITY. E.Ee. principle of insufficient reason, the principle that if there is no sufficient reason (or explanation) for something’s being (the case), then it will not be (the case). Since the rise of modern probability theory, many have identified the principle of insufficient reason with the principle of indifference (a rule for assigning a probability to an event based on “parity of reasons”). The two principles are closely related, but it is illuminating historically and logically to view the principle of insufficient reason as the general principle stated above (which is related to the principle of sufficient reason) and to view the principle of indifference as a special case of the principle of insufficient reason applying to probabilities. As Mach noted, the principle of insufficient reason, thus conceived, was used by Archimedes to argue that a lever with equal weights at equal distances from a central fulcrum would not move, since if there is no sufficient reason why it should move one way or the other, it would not move one way or the other. Philosophers from Anaximander to Leibniz used the se principle to argue for various metaphysical theses. The principle of indifference can be seen to be a special case of this principle of insufficient reason applying to probabilities, if one reads the principle of indifference as follows: when there are N mutually exclusive and exhaustive events and there is no sufficient reason to believe that any one of them is more probable than any other, principle of excluded middle principle of insufficient reason 738    738 then no one of them is more probable than any other (they are equiprobable). The idea of “parity of reasons” associated with the principle of indifference is, in such manner, related to the idea that there is no sufficient reason for favoring one outcome over another. This is significant because the principle of insufficient reason is logically equivalent to the more filiar principle of sufficient reason (if something is [the case], then there is a sufficient reason for its being [the case]) – which means that the principle of indifference is a logical consequence of the principle of sufficient reason. If this is so, we can understand why so many were inclined to believe the principle of indifference was an a priori truth about probabilities, since it was an application to probabilities of that most fundental of all alleged a priori principles of reasoning, the principle of sufficient reason. Nor should it surprise us that the alleged a priori truth of the principle of indifference was as controversial in probability theory as was the alleged a priori truth of the principle of sufficient reason in philosophy generally.  PRINCIPLES OF INDIFFERENCE, PROBABILITY. R.H.K. principle of limited variety.MILL’S METHODS. principle of logical form.LOGICAL FORM. principle of maximizing expected utility.NEWCOMB’S PARADOX. principle of non-contradiction.PRINCIPLE OF CONTRADICTION. principle of parsimony.OCKH’S RAZOR. principle of perfection.LEIBNIZ. principle of plenitude, the principle that every genuine possibility is realized or actualized. This principle of the “fullness of being” was ned by A. O. Lovejoy, who showed that it was commonly assumed throughout the history of Western science and philosophy, from Plato to Plotinus (who associated it with inexhaustible divine productivity), through Augustine and other medieval philosophers, to the modern rationalists (Spinoza and Leibniz) and the Enlightenment. Lovejoy connected plenitude to the great chain of being, the idea that the universe is a hierarchy of beings in which every possible form is actualized. In the eighteenth century, the principle was “temporalized”: every possible form of creature would be realized – not necessarily at all times – but at some stage “in the fullness of time.” A clue about the significance of plenitude lies in its connection to the principle of sufficient reason (everything has a sufficient reason [cause or explanation] for being or not being). Plenitude says that if there is no sufficient reason for something’s not being (i.e., if it is genuinely possible), then it exists – which is logically equivalent to the negative version of sufficient reason: if something does not exist, then there is a sufficient reason for its not being. R.H.K. principle of proportionality.CAJETAN. principle of self-determination.SELF-DETERMINATION. principle of subsidiarity.SUBSIDIARITY. principle of sufficient reason.LEIBNIZ, PRINCIPLE OF INSUFFICIENT REASON. principle of the anomalism of the mental.PHILOSOPHY OF MIND. principle of the conservation of matter.
PHILOSOPHY OF SCIENCE. principle of uncertainty.PHILOSOPHY OF SCIENCE, QUANTUM MECHANICS. principle of universality.UNIVERSALIZABILITY. principle of universalizability.UNIVERSALIZABILITY. principle of unlimited comprehension.SET THEORY. principle of utility.UTILITARIANISM. principle of verifiability, a claim about what meaningfulness is: at its simplest, a sentence is meaningful provided there is a method for verifying it. Therefore, if a sentence has no such method, i.e., if it does not have associated with it a way of telling whether it is conclusively true or conclusively false, then it is meaningless. The purpose for which this verificationist principle was originally introduced was to demarcate sentences that are “apt to make a significant statement of fact” from “nonsensical” or “pseudo-” sentences. It is part of the emotive theory of content, e.g., that moral discourse is not (literally, cognitively) meaningful, and therefore, not facprinciple of limited variety principle of verifiability 739    739 tual. And, with the verifiability principle, the central European logical positivists of the 1920s hoped to strip “metaphysical discourse” of its pretensions of factuality. For them, whether there is a reality external to the mind, as the realists claim, or whether all reality is made up of “ideas” or “appearances,” as idealists claim, is a “meaningless pseudo-problem.” The verifiability principle proved impossible to fre in a form that did not admit all metaphysical sentences as meaningful. (Further, it casts doubt on its own status. How was it to be verified?) So, e.g., in the first edition of Language, Truth and Logic, Ayer proposed that a sentence is verifiable, and consequently meaningful, if some observation sentence can be deduced from it in conjunction with certain other premises, without being deducible from those other premises alone. It follows that any metaphysical sentence M is meaningful since ‘if M, then O’ always is an appropriate premise, where O is an observation sentence. In the preface to the second edition, Ayer offered a more sophisticated account: M is directly verifiable provided it is an observation sentence or it entails, in conjunction with certain observation sentences, some observation sentence that does not follow from them alone. And M is indirectly verifiable provided it entails, in conjunction with certain other premises, some directly verifiable sentence that does not follow from those other premises alone and these additional premises are either analytic or directly verifiable (or are independently indirectly verifiable). The new verifiability principle is then that all and only sentences directly or indirectly verifiable are “literally meaningful.” Unfortunately, Ayer’s emendation admits every nonanalytic sentence. Let M be any metaphysical sentence and O1 and O2 any pair of observation sentences logically independent of each other. Consider sentence A: ‘either O1 or (not-M and not-O2)’. Conjoined with O2, A entails O1. But O2 alone does not entail O1. So A is directly verifiable. Therefore, since M conjoined with A entails O1, which is not entailed by A alone, M is indirectly verifiable. Various repairs have been attempted; none has succeeded.  LOGICAL POSITIVISM, MEANING, VERIFICATIONISM, VIENNA CIRCLE. E.L. priority, conceptual.DEPENDENCE. prior probability.BAYES’S THEOREM. prisca theologica.FICINO. prisoner’s dilemma, a problem in ge theory, and more broadly the theory of rational choice, that takes its ne from a filiar sort of pleabargaining situation: Two prisoners (Robin and Carol) are interrogated separately and offered the se deal: If one of them confesses (“defects”) and the other does not, the defector will be given immunity from prosecution and the other will get a stiff prison sentence. If both confess, both will get moderate prison terms. If both remain silent (cooperate with each other), both will get light prison terms for a lesser offense. There are thus four possible outcomes: (1) Robin confesses and gets immunity, while Carol is silent and gets a stiff sentence. (2) Both are silent and get light sentences. (3) Both confess and get moderate sentences. (4) Robin is silent and gets a stiff sentence, while Carol confesses and gets immunity. Assume that for Robin, (1) would be the best outcome, followed by (2), (3), and (4), in that order. Assume that for Carol, the best outcome is (4), followed by (2), (3), and (1). Each prisoner then reasons as follows: “My confederate will either confess or remain silent. If she confesses, I must do likewise, in order to avoid the ‘sucker’s payoff’ (immunity for her, a stiff sentence for me). If she remains silent, then I must confess in order to get immunity – the best outcome for me. Thus, no matter what my confederate does, I must confess.” Under those conditions, both will confess, effectively preventing each other from achieving anything better than the option they both rank as only third-best, even though they agree that option (2) is second-best. This illustrative story (attributed to A. W. Tucker) must not be allowed to obscure the fact that many sorts of social interactions have the se structure. In general, whenever any two parties must make simultaneous or independent choices over a range of options that has the ordinal payoff structure described in the plea bargaining story, they are in a prisoner’s dilemma. Diplomats, negotiators, buyers, and sellers regularly find themselves in such situations. They are called iterated prisoner’s dilemmas if the se parties repeatedly face the se choices with each other. Moreover, there are analogous problems of cooperation and conflict at the level of manyperson interactions: so-called n-person prisoner’s diemmas or free rider problems. The provision of public goods provides an exple. Suppose there is a public good, such as clean air, priority, conceptual prisoner’s dilemma 740    740 privacy, epistemic privation 741 national defense, or public radio, which we all want. Suppose that is can be provided only by collective action, at some cost to each of the contributors, but that we do not have to have a contribution from everyone in order to get it. Assume that we all prefer having the good to not having it, and that the best outcome for each of us would be to have it without cost to ourselves. So each of us reasons as follows: “Other people will either contribute enough to produce the good by themselves, or they will not. If they do, then I can have it cost-free (the best option for me) and thus I should not contribute. But if others do not contribute enough to produce the good by themselves, and if the probability is very low that my costly contribution would make the difference between success and failure, once again I should not contribute.” Obviously, if we all reason in this way, we will not get the public good we want. Such problems of collective action have been noticed by philosophers since Plato. Their current nomenclature, rigorous ge-theoretic formulation, empirical study, and systematic philosophical development, however, has occurred since 1950.  GE THEORY, SOCIAL CHOICE THEORY. L.C.B. privacy, epistemic.EPISTEMIC PRIVACY. private language argument, an argument designed to show that there cannot be a language that only one person can speak – a language that is essentially private, that no one else can in principle understand. In addition to its intrinsic interest, the private language argument is relevant to discussions of linguistic rules and linguistic meaning, behaviorism, solipsism, and phenomenalism. The argument is closely associated with Wittgenstein’s Philosophical Investigations (1958). The exact structure of the argument is controversial; this account should be regarded as a standard one, but not beyond dispute. The argument begins with the supposition that a person assigns signs to sensations, where these are taken to be private to the person who has them, and attempts to show that this supposition cannot be sustained because no standards for the correct or incorrect application of the se sign to a recurrence of the se sensation are possible. Thus Wittgenstein supposes that he undertakes to keep a diary about the recurrence of a certain sensation; he associates it with the sign ‘S’, and marks ‘S’ on a calendar every day he has that sensation. Wittgenstein finds the nature of the association of the sign and sensation obscure, on the ground that ‘S’ cannot be given an ordinary definition (this would make its meaning publicly accessible) or even an ostensive definition. He further argues that there is no difference between correct and incorrect entries of ‘S’ on subsequent days. The initial sensation with which the sign ‘S’ was associated is no longer present, and so it cannot be compared with a subsequent sensation taken to be of the se kind. He could at best claim to remember the nature of the initial sensation, and judge that it is of the se kind as today’s. But since the memory cannot confirm its own accuracy, there is no possible test of whether he remembers the initial association of sign and sensation right today. Consequently there is no criterion for the correct reapplication of the sign ‘S’. Thus we cannot make sense of the notion of correctly reapplying ‘S’, and cannot make sense of the notion of a private language. The argument described appears to question only the claim that one could have terms for private mental occurrences, and may not seem to impugn a broader notion of a private language whose expressions are not restricted to signs for sensations. Advocates of Wittgenstein’s argument would generalize it and claim that the focus on sensations simply highlights the absence of a distinction between correct and incorrect reapplications of words. A language with terms for publicly accessible objects would, if private to its user, still be claimed to lack criteria for the correct reapplication of such terms. This broader notion of a private language would thus be argued to be equally incoherent. 

privation, a lack of something that it is natural or good to possess. The term is closely associated with the idea that evil is itself only a lack of good, privatio boni. In traditional theistic religions everything other than God is created by God out of nothing, creation ex nihilo. Since, being perfect, God would create only what is good, the entire original creation and every creature from the most complex to the simplest are created entirely good. The original creation contains no evil whatever. What then is evil and how does it enter the world? The idea that evil is a privation of good does not mean, e.g., that a rock has some degree of evil because it lacks such good qualities as consciousness and courage. A thing has some degree of evil only if it lacks some good that is    741 privileged access privileged access 742 proper for that thing to possess. In the original creation each created thing possessed the goods proper to the sort of thing it was. According to Augustine, evil enters the world when creatures with free will abandon the good above themselves for some lower, inferior good. Human beings, e.g., become evil to the extent that they freely turn from the highest good (God) to their own private goods, becoming proud, selfish, and wicked, thus deserving the further evils of pain and punishment. One of the problems for this explanation of the origin of evil is to account for why an entirely good creature would use its freedom to turn from the highest good to a lesser good. 

privileged access, special first-person awareness of the contents of one’s own mind. Since Descartes, many philosophers have held that persons are aware of the occurrent states of their own minds in a way distinct from both their mode of awareness of physical objects and their mode of awareness of the mental states of others. Cartesians view such apprehension as privileged in several ways. First, it is held to be immediate, both causally and epistemically. While knowledge of physical objects and their properties is acquired via spatially intermediate causes, knowledge of one’s own mental states involves no such causal chains. And while beliefs about physical properties are justified by appeal to ways objects appear in sense experience, beliefs about the properties of one’s own mental states are not justified by appeal to properties of a different sort. I justify my belief that the paper on which I write is white by pointing out that it appears white in apparently normal light. By contrast, my belief that white appears in my visual experience seems to be self-justifying. Second, Cartesians hold that first-person apprehension of occurrent mental contents is epistemically privileged in being absolutely certain. Absolute certainty includes infallibility, incorrigibility, and indubitability. That a judgment is infallible means that it cannot be mistaken; its being believed entails its being true (even though judgments regarding occurrent mental contents are not necessary truths). That it is incorrigible means that it cannot be overridden or corrected by others or by the subject himself at a later time. That it is indubitable means that a subject can never have grounds for doubting it. Philosophers sometimes claim also that a subject is omniscient with regard to her own occurrent mental states: if a property appears within her experience, then she knows this. Subjects’ privileged access to the immediate contents of their own minds can be held to be necessary or contingent. Regarding corrigibility, for exple, proponents of the stronger view hold that first-person reports of occurrent mental states could never be overridden by conflicting evidence, such as conflicting readings of brain states presumed to be correlated with the mental states in question. They point out that knowledge of such correlations would itself depend on first-person reports of mental states. If a reading of my brain indicates that I  in pain, and I sincerely claim not to be, then the law linking brain states of that type with pains must be mistaken. Proponents of the weaker view hold that, while persons are currently the best authorities as to the occurrent contents of their own minds, evidence such as conflicting readings of brain states could eventually override such authority, despite the dependence of the evidence on earlier firstperson reports. Weaker views on privileged access may also deny infallibility on more general grounds. In judging anything, including an occurrent mental state, to have a particular property P, it seems that I must remember which property P is, and memory appears to be always fallible. Even if such judgments are always fallible, however, they may be more immediately justified than other sorts of judgments. Hence there may still be privileged access, but of a weaker sort. In the twentieth century, Ryle attacked the idea of privileged access by analyzing introspection, awareness of what one is thinking or doing, in terms of behavioral dispositions, e.g. dispositions to give memory reports of one’s mental states when asked to do so. But while behaviorist or functional analyses of some states of mind may be plausible, for instance analyses of cognitive states such as beliefs, accounts in these terms of occurrent states such as sensations or images are far less plausible. A more influential attack on stronger versions of privileged access was mounted by Wilfrid Sellars. According to him, we must be trained to report non-inferentially on properties of our sense experience by first learning to respond with whole systems of concepts to public, physical objects. Before I can learn to report a red sense impression, I must learn the system of color concepts and the logical relations ong them by learning to respond to colored objects. Hence, knowledge of my own mental states cannot be the firm basis from which I progress to other knowledge.    742 Even if this order of concept acquisition is determined necessarily, it still may be that persons’ access to their own mental states is privileged in some of the ways indicated, once the requisite concepts have been acquired. Beliefs about one’s own occurrent states of mind may still be more immediately justified than beliefs about physical properties, for exple. 
CERTAINTY, FOUNDATIONALISM, IMMEDIACY, PERCEPTION. A.H.G. pro attitude, a favorable disposition toward an object or state of affairs. Although some philosophers equate pro attitudes with desires, the expression is more often intended to cover a wide range of conative states of mind including wants, feelings, wishes, values, and principles. My regarding a certain course of action open to me as morally required and my regarding it as a source of selfish satisfaction equally qualify as pro attitudes toward the object of that action. It is widely held that intentional action, or, more generally, acting for reasons, is necessarily based, in part, on one or more pro attitudes. If I go to the store in order to buy some turnips, then, in addition to my regarding my store-going as conducive to turnip buying, I must have some pro attitude toward turnip buying.  ACTION THEORY, PRACTICAL REASONING. J.F.H. probabilism.MEDINA. probabilistic automaton.

probability, a numerical value that can attach to items of various kinds (e.g., propositions, events, and kinds of events) that is a measure of the degree to which they may or should be expected – or the degree to which they have “their own disposition,” i.e., independently of our psychological expectations – to be true, to occur, or to be exemplified (depending on the kind of item the value attaches to). There are both multiple interpretations of probability and two main kinds of theories of probability: abstract formal calculi and interpretations of the calculi. An abstract formal calculus axiomatically characterizes formal properties of probability functions, where the arguments of the function are often thought of as sets, or as elements of a Boolean algebra. In application, the nature of the arguments of a probability function, as well as the meaning of probability, are given by interpretations of probability. The most fous axiomatization is Kolmogorov’s (Foundations of the Theory of Probability, 1933). The three axioms for probability functions Pr are: (1) Pr(X) M 0 for all X; (2) Pr(X) % 1 if X is necessary (e.g., a tautology if a proposition, a necessary event if an event, and a “universal set” if a set); and (3) Pr(X 7 Y) % Pr(X) ! Pr(Y) (where ‘7’ can mean, e.g., logical disjunction, or set-theoretical union) if X and Y are mutually exclusive (X & Y is a contradiction if they are propositions, they can’t both happen if they are events, and their set-theoretical intersection is empty if they are sets). Axiom (3) is called finite additivity, which is sometimes generalized to countable additivity, involving infinite disjunctions of propositions, or infinite unions of sets. Conditional probability, Pr(X/Y) (the probability of X “given” or “conditional on” Y), is defined as the quotient Pr(X & Y)/Pr(Y). An item X is said to be positively or negatively statistically (or probabilistically) correlated with an item Y according to whether Pr(X/Y) is greater than or less than Pr(X/-Y) (where -Y is the negation of a proposition Y, or the non-occurrence of an event Y, or the set-theoretical complement of a set Y); in the case of equality, X is said to be statistically (or probabilistically) independent of Y. All three of these probabilistic relations are symmetric, and sometimes the term ‘probabilistic relevance’ is used instead of ‘correlation’. From the axioms, filiar theorems can be proved: e.g., (4) Pr(-X) % 1 – Pr(X); (5) Pr(X 7 Y) % Pr(X) ! Pr(Y) – Pr(X & Y) (for all X and Y); and (6) (a simple version of Bayes’s theorem) Pr(X/Y) % Pr(Y/X)Pr(X)/Pr(Y). Thus, an abstract formal calculus of probability allows for calculation of the probabilities of some items from the probabilities of others. The main interpretations of probability include the classical, relative frequency, propensity, logical, and subjective interpretations. According to the classical interpretation, the probability of an event, e.g. of heads on a coin toss, is equal to the ratio of the number of “equipossibilities” (or equiprobable events) favorable to the event in question to the total number of relevant equipossibilities. On the relative frequency interpretation, developed by Venn (The Logic of Chance, 1866) and Reichenbach (The Theory of Probability, pro attitude probability 743    743 1935), probability attaches to sets of events within a “reference class.” Where W is the reference class, and n is the number of events in W, and m is the number of events in (or of kind) X, within W, then the probability of X, relative to W, is m/n. For various conceptual and technical reasons, this kind of “actual finite relative frequency” interpretation has been refined into various infinite and hypothetical infinite relative frequency accounts, where probability is defined in terms of limits of series of relative frequencies in finite (nested) populations of increasing sizes, sometimes involving hypothetical infinite extensions of an actual population. The reasons for these developments involve, e.g.: the artificial restriction, for finite populations, of probabilities to values of the form i/n, where n is the size of the reference class; the possibility of “mere coincidence” in the actual world, where these may not reflect the true physical dispositions involved in the relevant events; and the fact that probability is often thought to attach to possibilities involving single events, while probabilities on the relative frequency account attach to sets of events (this is the “problem of the single case,” also called the “problem of the reference class”). These problems also have inspired “propensity” accounts of probability, according to which probability is a more or less primitive idea that measures the physical propensity or disposition of a given kind of physical situation to yield an outcome of a given type, or to yield a “long-run” relative frequency of an outcome of a given type. A theorem of probability proved by Jacob Bernoulli (Ars Conjectandi, 1713) and sometimes called Bernoulli’s theorem or the weak law of large numbers, and also known as the first limit theorem, is important for appreciating the frequency interpretation. The theorem states, roughly, that in the long run, frequency settles down to probability. For exple, suppose the probability of a certain coin’s landing heads on any given toss is 0.5, and let e be any number greater than 0. Then the theorem implies that as the number of tosses grows without bound, the probability approaches 1 that the frequency of heads will be within e of 0.5. More generally, let p be the probability of an outcome O on a trial of an experiment, and assume that this probability remains constant as the experiment is repeated. After n trials, there will be a frequency, f n, of trials yielding outcome O. The theorem says that for any numbers d and e greater than 0, there is an n such that the probability (P) that _p–f n_ ‹ e is within d of 1 (P ( 1–d). Bernoulli also showed how to calculate such n for given values of d, e, and p. It is important to notice that the theorem concerns probabilities, and not certainty, for a long-run frequency. Notice also the assumption that the probability p of O remains constant as the experiment is repeated, so that the outcomes on trials are probabilistically independent of earlier outcomes. The kinds of interpretations of probability just described are sometimes called “objective” or “statistical” or “empirical” since the value of a probability, on these accounts, depends on what actually happens, or on what actual given physical situations are disposed to produce – as opposed to depending only on logical relations between the relevant events (or propositions), or on what we should rationally expect to happen or what we should rationally believe. In contrast to these accounts, there are the “logical” and the “subjective” interpretations of probability. Carnap (“The Two Concepts of Probability,” Philosophy and Phenomenological Research, 1945) has marked this kind of distinction by calling the second concept probability1 and the first probability2. According to the logical interpretation, associated with Carnap ( Logical Foundations of Probability, 1950; and Continuum of Inductive Methods, 1952), the probability of a proposition X given a proposition Y is the “degree to which Y logically entails X.” Carnap developed an ingenious and elaborate set of systems of logical probability, including, e.g., separate systems depending on the degree to which one happens to be, logically and rationally, sensitive to new information in the reevaluation of probabilities. There is, of course, a connection between the ideas of logical probability, rationality, belief, and belief revision. It is natural to explicate the “logical-probabilistic” idea of the probability of X given Y as the degree to which a rational person would believe X having come to learn Y (taking account of background knowledge). Here, the idea of belief suggests a subjective (sometimes called epistemic or partial belief or degree of belief) interpretation of probability; and the idea of probability revision suggests the concept of induction: both the logical and the subjective interpretations of probability have been called “inductive probability” – a formal apparatus to characterize rational learning from experience. The subjective interpretation of probability, according to which the probability of a proposition is a measure of one’s degree of belief in it, was developed by, e.g., Rsey (“Truth and Probability,” in his Foundations of Mathematics and Other Essays, 1926); Definetti (“Foresight: Its Logical Laws, Its Subjective Sources,” 1937, transprobability probability 744    744 lated by H. Kyburg, Jr., in H. E. Smokler, Studies in Subjective Probability, 1964); and Savage (The Foundations of Statistics, 1954). Of course, subjective probability varies from person to person. Also, in order for this to be an interpretation of probability, so that the relevant axioms are satisfied, not all persons can count – only rational, or “coherent” persons should count. Some theorists have drawn a connection between rationality and probabilistic degrees of belief in terms of dispositions to set coherent betting odds (those that do not allow a “Dutch book” – an arrangement that forces the agent to lose come what may), while others have described the connection in more general decision-theoretic terms. 
BAYES’s THEOREM, CARNAP, DUTCH BOOK, INDUCTION, PROPENSITY, REICHENBACH. E.Ee. probability, prior.BAYES’s THEOREM. probability function.
BAYESIAN RATIONALITY. problematic judgment.KANT. problematic modality.MODALITY. problem of evil.PHILOSOPHY OF RELIGION. problem of induction. First stated by Hume, this problem concerns the logical basis of inferences from observed matters of fact to unobserved matters of fact. Although discussion often focuses upon predictions of future events (e.g., a solar eclipse), the question applies also to inferences to past facts (e.g., the extinction of dinosaurs) and to present occurrences beyond the range of direct observation (e.g., the motions of planets during daylight hours). Long before Hume the ancient Skeptics had recognized that such inferences cannot be made with certainty; they realized there can be no demonstrative (deductive) inference, say, from the past and present to the future. Hume, however, posed a more profound difficulty: Are we justified in placing any degree of confidence in the conclusions of such inferences? His question is whether there is any type of non-demonstrative or inductive inference in which we can be justified in placing any confidence at all. According to Hume, our inferences from the observed to the unobserved are based on regularities found in nature. We believe, e.g., that the earth, sun, and moon move in regular patterns (according to Newtonian mechanics), and on that basis astronomers predict solar and lunar eclipses. Hume notes, however, that all of our evidence for such uniformities consists of past and present experience; in applying these uniformities to the future behavior of these bodies we are making an inference from the observed to the unobserved. This point holds in general. Whenever we make inferences from the observed to the unobserved we rely on the uniformity of nature. The basis for our belief that nature is reasonably uniform is our experience of such uniformity in the past. If we infer that nature will continue to be uniform in the future, we are making an inference from the observed to the unobserved – precisely the kind of inference for which we are seeking a justification. We are thus caught up in a circular argument. Since, as Hume emphasized, much of our reasoning from the observed to the unobserved is based on causal relations, he analyzed causality to ascertain whether it could furnish a necessary connection between distinct events that could serve as a basis for such inferences. His conclusion was negative. We cannot establish any such connection a priori, for it is impossible to deduce the nature of an effect from its cause – e.g., we cannot deduce from the appearance of falling snow that it will cause a sensation of cold rather than heat. Likewise, we cannot deduce the nature of a cause from its effect – e.g., looking at a diond, we cannot deduce that it was produced by great heat and pressure. All such knowledge is based on past experience. If we infer that future snow will feel cold or that future dionds will be produced by great heat and pressure, we are again making inferences from the observed to the unobserved. Furthermore, if we carefully observe cases in which we believe a cause–effect relation holds, we cannot perceive any necessary connection between cause and effect, or any power in the cause that brings about the effect. We observe only that an event of one type (e.g., drinking water) occurs prior to and contiguously with an event of another type (quenching thirst). Moreover, we notice that events of the two types have exhibited a constant conjunction; i.e., whenever an event of the first type has occurred in the past it has been followed by one of the second type. We cannot discover any necessary connection or causal power a posteriori; we can only establish priority, contiguity, and constant conjunction up to the present. If we infer that this constant conjunction will persist in future cases, we are making another inference from observed to unobserved cases. To use causality as a basis for justifying inference from the observed to the probability, prior problem of induction 745    745 unobserved would again invovle a circular argument. Hume concludes skeptically that there can be no rational or logical justification of inferences from the observed to the unobserved – i.e., inductive or non-demonstrative inference. Such inferences are based on custom and habit. Nature has endowed us with a proclivity to extrapolate from past cases to future cases of a similar kind. Having observed that events of one type have been regularly followed by events of another type, we experience, upon encountering a case of the first type, a psychological expectation that one of the second type will follow. Such an expectation does not constitute a rational justification. Although Hume posed his problem in terms of homely exples, the issues he raises go to the heart of even the most sophisticated empirical sciences, for all of them involve inference from observed phenomena to unobserved facts. Although complex theories are often employed, Hume’s problem still applies. Its force is by no means confined to induction by simple enumeration. Philosophers have responded to the problem of induction in many different ways. Kant invoked synthetic a priori principles. Many twentieth-century philosophers have treated it as a pseudo-problem, based on linguistic confusion, that requires dissolution rather than solution. Carnap maintained that inductive intuition is indispensable. Reichenbach offered a pragmatic vindication. Goodman has recommended replacing Hume’s “old riddle” with a new riddle of induction that he has posed. Popper, taking Hume’s skeptical arguments as conclusive, advocates deductivism. He argues that induction is unjustifiable and dispensable. None of the many suggestions is widely accepted as correct. 
problem of other minds, the question of what rational basis a person can have for the belief that other persons are similarly conscious and have minds. Every person, by virtue of being conscious, is aware of her own state of consciousness and thus knows she has a mind; but the mental states of others are not similarly apparent to her. An influential attempt to solve this problem was made by philosophical behaviorists. According to Ryle in The Concept of Mind (1949), a mind is not a ghost in the physical machine but (roughly speaking) an aggregate of dispositions to behave intelligently and to respond overtly to sensory stimulation. Since the behavior distinctive of these mentalistic dispositions is readily observable in other human beings, the so-called problem of other minds is easily solved: it arose from mere confusion about the concept of mind. Ryle’s opponents were generally willing to concede that such dispositions provide proof that another person has a “mind” or is a sentient being, but they were not willing to admit that those dispositions provide proof that other people actually have feelings, thoughts, and sensory experiences. Their convictions on this last matter generated a revised version of the otherminds problem; it might be called the problem of other-person experiences. Early efforts to solve the problem of other minds can be viewed as attempts to solve the problem of other-person experiences. According to J. S. Mill’s Exination of Sir Willi Hilton’s Philosophy (1865), one can defend one’s conviction that others have feelings and other subjective experiences by employing an argument from analogy. To develop that analogy one first attends to how one’s own experiences are related to overt or publicly observable phenomena. One might observe that one feels pain when pricked by a pin and that one responds to the pain by wincing and saying “ouch.” The next step is to attend to the behavior and circumstances of others. Since other people are physically very similar to oneself, it is reasonable to conclude that if they are pricked by a pin and respond by wincing and saying “ouch,” they too have felt pain. Analogous inferences involving other sorts of mental states and other sorts of behavior and circumstances add strong support, Mill said, to one’s belief in other-person experiences. Although arguments from analogy are generally conceded to provide rationally acceptable evidence for unobserved phenomena, the analogical argument for other-person experiences was vigorously attacked in the 1960s by philosophers influenced by Wittgenstein’s Philosophical Investigations (1953). Their central contention was that anyone employing the argument must assume that, solely from her own case, she knows what feelings and thoughts are. This assumption was refuted, they thought, by Wittgenstein’s private language argument, which proved that we learn what feelings and thoughts are only in the process of learning a publicly understandable language containing an appropriate psychological vocabulary. To understand this latter vocabulary, these critics said, one must be able to use its ingredient words correctly problem of other minds problem of other minds 746    746 in relation to others as well as to oneself; and this can be ascertained only because words like ‘pain’ and ‘depression’ are associated with behavioral criteria. When such criteria are satisfied by the behavior of others, one knows that the words are correctly applied to them and that one is justified in believing that they have the experiences in question. The supposed problem of other-person experiences is thus “dissolved” by a just appreciation of the preconditions for coherent thought about psychological states. Wittgenstein’s claim that, to be conceivable, “an inner process stands in need of external criteria,” lost its hold on philosophers during the 1970s. An important consideration was this: if a feeling of pain is a genuine reality different from the behavior that typically accompanies it, then so-called pain behavior cannot be shown to provide adequate evidence for the presence of pain by a purely linguistic argument; some empirical inductive evidence is needed. Since, contrary to Wittgenstein, one knows what the feeling of pain is like only by having that feeling, one’s belief that other people occasionally have feelings that are significantly like the pain one feels oneself apparently must be supported by an argument in which analogy plays a central role. No other strategy seems possible.  BEHAVIORISM, PHILOSOPHY OF MIND, PRIVATE LANGUAGE ARGUMENT, WITTGENSTEIN. B.A.
problem of the criterion, a problem of epistemology, arising in the attempt both to formulate the criteria and to determine the extent of knowledge. Skeptical and non-skeptical philosophers disagree as to what, or how much, we know. Do we have knowledge of the external world, other minds, the past, and the future? Any answer depends on what the correct criteria of knowledge are. The problem is generated by the seeming plausibility of the following two propositions: (1) In order to recognize instances, and thus to determine the extent, of knowledge, we must know the criteria for it. (2) In order to know the criteria for knowledge (i.e., to distinguish between correct and incorrect criteria), we must already be able to recognize its instances. According to an argument of ancient Greek Skepticism, we can know neither the extent nor the criteria of knowledge because (1) and (2) are both true. There are, however, three further possibilities. First, it might be that (2) is true but (1) false: we can recognize instances of knowledge even if we do not know the criteria of knowledge. Second, it might be that (1) is true but (2) false: we can identify the criteria of knowledge without prior recognition of its instances. Finally, it might be that both (1) and (2) are false. We can know the extent of knowledge without knowing criteria, and vice versa. Chisholm, who has devoted particular attention to this problem, calls the first of these options particularism, and the second methodism. Hume, a skeptic about the extent of empirical knowledge, was a methodist. Reid and Moore were particularists; they rejected Hume’s skepticism on the ground that it turns obvious cases of knowledge into cases of ignorance. Chisholm advocates particularism because he believes that, unless one knows to begin with what ought to count as an instance of knowledge, any choice of a criterion is ungrounded and thus arbitrary. Methodists turn this argument around: they reject as dogmatic any identification of instances of knowledge not based on a criterion.  SKEPTICISM. M.St. problem of the single case.PROBABILITY, PROPENSITY. problem of the speckled hen, a problem propounded by Ryle as an objection to Ayer’s analysis of perception in terms of sense-data. It is implied by this analysis that, if I see a speckled hen (in a good light and so on), I do so by means of apprehending a speckled sense-datum. The analysis implies further that the sense-datum actually has just the number of speckles that I seem to see as I look at the hen, and that it is immediately evident to me just how many speckles this is. Thus, if I seem to see many speckles as I look at the hen, the sense-datum I apprehend must actually contain many speckles, and it must be immediately evident to me how many it does contain. Now suppose it seems to me that I see more than 100 speckles. Then the datum I  apprehending must contain more than 100 speckles. Perhaps it contains 132 of them. The analysis would then imply, absurdly, that it must be immediately evident to me that the number of speckles is exactly 132. One way to avoid this implication would be to deny that a sense-datum of mine could contain exactly 132 speckles – or any other large, determinate number of them – precisely on the ground that it could never seem to me that I was seeing exactly that many speckles. A possible drawback of this approach is that it involves committing oneself to the claim, which some philosophers have found problem of the criterion problem of the speckled hen 747    747 self-contradictory, that a sense-datum may contain many speckles even if there is no large number n such that it contains n speckles.  PERCEPTION, VAGUENESS. R.Ke. proceduralism.JURISPRUDENCE. process philosophy.WHITEHEAD. process–product biguity, an biguity that occurs when a noun can refer either to a process (or activity) or to the product of that process (or activity). E.g., ‘The definition was difficult’ could mean either that the activity of defining was a difficult one to perform, or that the definiens (the form of words proposed as equivalent to the term being defined) that the definer produced was difficult to understand. Again, ‘The writing absorbed her attention’ leaves it unclear whether it was the activity of writing or a product of that activity that she found engrossing. Philosophically significant terms that might be held to exhibit process–product biguity include: ‘analysis’, ‘explanation’, ‘inference’, ‘thought’. P.Mac. process theology, any theology strongly influenced by the theistic metaphysics of Whitehead or Hartshorne; more generally, any theology that takes process or change as basic characteristics of all actual beings, including God. Those versions most influenced by Whitehead and Hartshorne share a core of convictions that constitute the most distinctive theses of process theology: God is constantly growing, though certain abstract features of God (e.g., being loving) remain constant; God is related to every other actual being and is affected by what happens to it; every actual being has some self-determination, and God’s power is reconceived as the power to lure (attempt to persuade) each actual being to be what God wishes it to be. These theses represent significant differences from ideas of God common in the tradition of Western theism, according to which God is unchanging, is not really related to creatures because God is not affected by what happens to them, and has the power to do whatever it is logically possible for God to do (omnipotence). Process theologians also disagree with the idea that God knows the future in all its details, holding that God knows only those details of the future that are causally necessitated by past events. They claim these are only certain abstract features of a small class of events in the near future and of an even smaller class in the more distant future. Because of their understanding of divine power and their affirmation of creaturely self-determination, they claim that they provide a more adequate theodicy. Their critics claim that their idea of God’s power, if correct, would render God unworthy of worship; some also make this claim about their idea of God’s knowledge, preferring a more traditional idea of omniscience. Although Whitehead and Hartshorne were both philosophers rather than theologians, process theology has been more influential ong theologians. It is a major current in contemporary erican Protestant theology and has attracted the attention of some Roman Catholic theologians as well. It also has influenced some biblical scholars who are attempting to develop a distinctive process hermeneutics. 

PHILOSOPHY OF RELIGION, WHITEHEAD. J.A.K. Proclus.COMMENTARIES ON PLATO, HELLENISTIC PHILOSOPHY, NEOPLATONISM. Prodicus.SOPHISTS. production theory, the economic theory dealing with the conversion of factors of production into consumer goods. In capitalistic theories that assume ideal markets, firms produce goods from three kinds of factors: capital, labor, and raw materials. Production is subject to the constraint that profit (the difference between revenues and costs) be maximized. The firm is thereby faced with the following decisions: how much to produce, what price to charge for the product, what proportions to combine the three kinds of factors in, and what price to pay for the factors. In markets close to perfect competition, the firm will have little control over prices so the decision problem tends to reduce to the ounts of factors to use. The range of feasible factor combinations depends on the technologies available to firms. Interesting complications arise if not all firms have access to the se technologies, or if not all firms make accurate responses concerning technological changes. Also, if the scale of production affects the feasible technologies, the firms’ decision process must be subtle. In each of these cases, imperfect competition will result. Marxian economists think that the concepts used in this kind of production theory have a normative component. In reality, a large firm’s capital tends to be owned by a rather small, privileged class of non-laborers and labor is treated as a commodity like any other factor. This might proceduralism production theory 748    748 lead to the perception that profit results primarily from capital and, therefore, belongs to its owners. Marxians contend that labor is primarily responsible for profit and, consequently, that labor is entitled to more than the market wage.  PERFECT COMPETITION, PHILOSOPHY OF ECONOMICS. A.N. productive reason.THEORETICAL REASON. professional ethics, a term designating one or more of (1) the justified moral values that should govern the work of professionals; (2) the moral values that actually do guide groups of professionals, whether those values are identified as (a) principles in codes of ethics promulgated by professional societies or (b) actual beliefs and conduct of professionals; and (3) the study of professional ethics in the preceding senses, either (i) normative (philosophical) inquiries into the values desirable for professionals to embrace, or (ii) descriptive (scientific) studies of the actual beliefs and conduct of groups of professionals. Professional values include principles of obligation and rights, as well as virtues and personal moral ideals such as those manifested in the lives of Jane Adds, Albert Schweitzer, and Thurgood Marshall. Professions are defined by advanced expertise, social organizations, society-granted monopolies over services, and especially by shared commitments to promote a distinctive public good such as health (medicine), justice (law), or learning (education). These shared commitments imply special duties to make services available, maintain confidentiality, secure informed consent for services, and be loyal to clients, employers, and others with whom one has fiduciary relationships. Both theoretical and practical issues surround these duties. The central theoretical issue is to understand how the justified moral values governing professionals are linked to wider values, such as human rights. Most practical dilemmas concern how to balance conflicting duties. For exple, what should attorneys do when confidentiality requires keeping information secret that might save the life of an innocent third party? Other practical issues are problems of vagueness and uncertainty surrounding how to apply duties in particular contexts. For exple, does respect for patients’ autonomy forbid, permit, or require a physician to assist a terminally ill patient desiring suicide? Equally important is how to resolve conflicts of interest in which self-seeking places moral values at risk.  APPLIED ETHICS, BIOETHICS. M.W.M. progrming language.COMPUTER THEORY. progrs, modal logic of.DYNIC LOGIC. projectible predicate.GRUE PARADOX. projection.HEIDEGGER. projectivism.MORAL PSYCHOLOGY. prolepsis.EPICUREANISM, HELLENISTIC PHILOSOPHY. proof.PROOF THEORY. proof, finitary.HILBERT’S PROGR. proof, indirect.REDUCTIO AD ABSURDUM. proof by recursion, also called proof by mathematical induction, a method for conclusively demonstrating the truth of universal propositions about the natural numbers. The system of (natural) numbers is construed as an infinite sequence of elements beginning with the number 1 and such that each subsequent element is the (immediate) successor of the preceding element. The (immediate) successor of a number is the sum of that number with 1. In order to apply this method to show that every number has a certain chosen property it is necessary to demonstrate two subsidiary propositions often called respectively the basis step and the inductive step. The basis step is that the number 1 has the chosen property; the inductive step is that the successor of any number having the chosen property is also a number having the chosen property (in other words, for every number n, if n has the chosen property then the successor of n also has the chosen property). The inductive step is itself a universal proposition that may have been proved by recursion. The most commonly used exple of a theorem proved by recursion is the remarkable fact, known before the time of Plato, that the sum of the first n odd numbers is the square of n. This proposition, mentioned prominently by Leibniz as requiring and having demonstrative proof, is expressed in universal form as follows: for every number n, the sum of the first n odd numbers is n2. 1 % 12, (1 ! 3) % 22, (1 ! 3 ! 5) % 32, and so on. Rigorous formulation of a proof by recursion productive reason proof by recursion 749    749 often uses as a premise the proposition called, since the time of De Morgan, the principle of mathematical induction: every property belonging to 1 and belonging to the successor of every number to which it belongs is a property that belongs without exception to every number. Peano (1858–1932) took the principle of mathematical induction as an axiom in his 1889 axiomatization of arithmetic (or the theory of natural numbers). The first acceptable formulation of this principle is attributed to Pascal.  DE MORGAN, OMEGA, PHILOSOPHY OF MATHEMATICS. J.Cor. proof-theoretic reflection principles.REFLECTION PRINCIPLES. proof theory, a branch of mathematical logic founded by David Hilbert in the 1920s to pursue Hilbert’s Progr. The foundational problems underlying that progr had been formulated around the turn of the century, e.g., in Hilbert’s fous address to the International Congress of Mathematicians in Paris (1900). They were closely connected with investigations on the foundations of analysis carried out by Cantor and Dedekind; but they were also related to their conflict with Kronecker on the nature of mathematics and to the difficulties of a completely unrestricted notion of set or multiplicity. At that time, the central issue for Hilbert was the consistency of sets in Cantor’s sense. He suggested that the existence of consistent sets (multiplicities), e.g., that of real numbers, could be secured by proving the consistency of a suitable, characterizing axiomatic system; but there were only the vaguest indications on how to do that. In a radical departure from standard practice and his earlier hints, Hilbert proposed four years later a novel way of attacking the consistency problem for theories in Über die Grundlagen der Logik und der Arithmetik (1904). This approach would require, first, a strict formalization of logic together with mathematics, then consideration of the finite syntactic configurations constituting the joint formalism as mathematical objects, and showing by mathematical arguments that contradictory formulas cannot be derived. Though Hilbert lectured on issues concerning the foundations of mathematics during the subsequent years, the technical development and philosophical clarification of proof theory and its aims began only around 1920. That involved, first of all, a detailed description of logical calculi and the careful development of parts of mathematics in suitable systems. A record of the former is found in Hilbert and Ackermann, Grundzüge der theoretischen Logik (1928); and of the latter in Supplement IV of Hilbert and Bernays, Grundlagen der Mathematik II (1939). This presupposes the clear distinction between metathematics and mathematics introduced by Hilbert. For the purposes of the consistency progr metathematics was now taken to be a very weak part of arithmetic, so-called finitist mathematics, believed to correspond to the part of mathematics that was accepted by constructivists like Kronecker and Brouwer. Additional metathematical issues concerned the completeness and decidability of theories. The crucial technical tool for the pursuit of the consistency problem was Hilbert’s e-calculus. The metathematical problems attracted the collaboration of young and quite brilliant mathematicians (with philosophical interests); ong them were Paul Bernays, Wilhelm Ackermann, John von Neumann, Jacques Herbrand, Gerhard Gentzen, and Kurt Schütte. The results obtained in the 1920s were disappointing when measured against the hopes and bitions: Ackermann, von Neumann, and Herbrand established essentially the consistency of arithmetic with a very restricted principle of induction. That limits of finitist considerations for consistency proofs had been reached bece clear in 1931 through Gödel’s incompleteness theorems. Also, special cases of the decision problem for predicate logic (Hilbert’s Entscheidungsproblem) had been solved; its general solvability was made rather implausible by some of Gödel’s results in his 1931 paper. The actual proof of unsolvability had to wait until 1936 for a conceptual clarification of ‘mechanical procedure’ or ‘algorithm’; that was achieved through the work of Church and Turing. The further development of proof theory is roughly characterized by two complementary tendencies: (1) the extension of the metathematical fre relative to which “constructive” consistency proofs can be obtained, and (2) the refined formalization of parts of mathematics in theories much weaker than set theory or even full second-order arithmetic. The former tendency started with the work of Gödel and Gentzen in 1933 establishing the consistency of full classical arithmetic relative to intuitionistic arithmetic; it led in the 1970s and 1980s to consistency proofs of strong subsystems of secondorder arithmetic relative to intuitionistic theories of constructive ordinals. The latter tendency reaches back to Weyl’s book Das Kontinuum (1918) and culminated in the 1970s by showing proof-theoretic reflection principles proof theory 750    750 that the classical results of mathematical analysis can be formally obtained in conservative extensions of first-order arithmetic. For the metathematical work Gentzen’s introduction of sequent calculi and the use of transfinite induction along constructive ordinals turned out to be very important, as well as Gödel’s primitive recursive functionals of finite type. The methods and results of proof theory are playing, not surprisingly, a significant role in computer science. Work in proof theory has been motivated by issues in the foundations of mathematics, with the explicit goal of achieving epistemological reductions of strong theories for mathematical practice (like set theory or second-order arithmetic) to weak, philosophically distinguished theories (like primitive recursive arithmetic). As the formalization of mathematics in strong theories is crucial for the metathematical approach, and as the progrmatic goal can be seen as a way of circumventing the philosophical issues surrounding strong theories, e.g., the nature of infinite sets in the case of set theory, Hilbert’s philosophical position is often equated with formalism – in the sense of Frege in his Über die Grundlagen der Geometrie (1903–06) and also of Brouwer’s inaugural address Intuitionism and Formalism (1912). Though such a view is not completely unsupported by some of Hilbert’s polemical remarks during the 1920s, on balance, his philosophical views developed into a sophisticated instrumentalism, if that label is taken in Ernest Nagel’s judicious sense (The Structure of Science, 1961). Hilbert’s is an instrumentalism emphasizing the contentual motivation of mathematical theories; that is clearly expressed in the first chapter of Hilbert and Bernays’s Grundlagen der Mathematik I (1934). A sustained philosophical analysis of proof-theoretic research in the context of broader issues in the philosophy of mathematics was provided by Bernays; his penetrating essays stretch over five decades and have been collected in Abhandlungen zur Philosophie der Mathematik (1976).  CONSISTENCY, FORMALIZATION, GÖDEL’s INCOMPLETENESS THEOREMS, HILBERT’s PROGR, METATHEMATICS. W.S. propensity, an irregular or non-necessitating causal disposition of an object or system to produce some result or effect. Propensities are usually conceived as essentially probabilistic in nature. A die may be said to have a propensity of “strength” or magnitude 1 /6 to turn up a 3 if thrown from a dice box, of strength 1 /3 to turn up, say, a 3 or 4, etc. But propensity talk is arguably appropriate only when determinism fails. Strength is often taken to vary from 0 to 1. Popper regarded the propensity notion as a new physical or metaphysical hypothesis, akin to that of forces. Like Peirce, he deployed it to interpret probability claims about single cases: e.g., the probability of this radium atom’s decaying in 1,600 years is 1 /2. On relative frequency interpretations, probability claims are about properties of large classes such as relative frequencies of outcomes in them, rather than about single cases. But single-case claims appear to be common in quantum theory. Popper advocated a propensity interpretation of quantum theory. Propensities also feature in theories of indeterministic or probabilistic causation. Competing theories about propensities attribute them variously to complex systems such as chance or experimental set-ups or arrangements (a coin and tossing device), to entities within such set-ups (the coin itself), and to particular trials of such set-ups. Long-run theories construe propensities as dispositions to give rise to certain relative frequencies of, or probability distributions over, outcomes in long runs of trials, which are sometimes said to “manifest” or “display” the propensities. Here a propensity’s strength is identical to some such frequency. By contrast, single-case theories construe propensities as dispositions of singular trials to bring about particular outcomes. Their existence, not their strength, is displayed by such an outcome. Here frequencies provide evidence about propensity strength. But the two can always differ; they converge with a limiting probability of 1 in an appropriate long run.  CAUSATION, DETERMINISM, DISPOSITION, PEIRCE, PROBABILITY, QUANTUM MECHANICS. D.S. proper class.CLASS. properly basic relief.EVIDENTIALISM, PLANTINGA. proper nes, causal theory of.CAUSAL THEORY OF PROPER NES. proper sensibles.ARISTOTLE. proper symbol.

SYNCATEGOREMATA. properties of terms, doctrine of.SHERWOOD. property, roughly, an attribute, characteristic, feature, trait, or aspect. propensity property 751    751 Intensionality. There are two salient ways of talking about properties. First, as predicables or instantiables. For exple, the property red is predicable of red objects; they are instances of it. Properties are said to be intensional entities in the sense that distinct properties can be truly predicated of (i.e., have as instances) exactly the se things: the property of being a creature with a kidney & the property of being a creature with a heart, though these two sets have the se members. Properties thus differ from sets (collections, classes); for the latter satisfy a principle of extensionality: they are identical if they have the se elements. The second salient way of talking about properties is by means of property abstracts such as ‘the property of being F’. Such linguistic expressions are said to be intensional in the following semantical (vs. ontological) sense: ‘the property of being F’ and ‘the property of being G’ can denote different properties even though the predicates ‘F’ and ‘G’ are true of exactly the se things. The standard explanation (Frege, Russell, Carnap, et al.) is that ‘the property of being F’ denotes the property that the predicate ‘F’ expresses. Since predicates ‘F’ and ‘G’ can be true of the se things without being synonyms, the property abstracts ‘being F’ and ‘being G’ can denote different properties. Identity criteria. Some philosophers believe that properties are identical if they necessarily have the se instances. Other philosophers hold that this criterion of identity holds only for a special subclass of properties – those that are purely qualitative – and that the properties for which this criterion does not hold are all “complex” (e.g., relational, disjunctive, conditional, or negative properties). On this theory, complex properties are identical if they have the se form and their purely qualitative constituents are identical. Ontological status. Because properties are a kind of universal, each of the standard views on the ontological status of universals has been applied to properties as a special case. Nominalism: only particulars (and perhaps collections of particulars) exist; therefore, either properties do not exist or they are reducible (following Carnap et al.) to collections of particulars (including perhaps particulars that are not actual but only possible). Conceptualism: properties exist but are dependent on the mind. Realism: properties exist independently of the mind. Realism has two main versions. In rebus realism: a property exists only if it has instances. Ante rem realism: a property can exist even if it has no instances. For exple, the property of being a man weighing over ton has no instances; however, it is plausible to hold that this property does exist. After all, this property seems to be what is expressed by the predicate ‘is a man weighing over a ton’. Essence and accident. The properties that a given entity has divide into two disjoint classes: those that are essential to the entity and those that are accidental to it. A property is essential to an entity if, necessarily, the entity cannot exist without being an instance of the property. A property is accidental to an individual if it is possible for the individual to exist without being an instance of the property. Being a number is an essential property of nine; being the number of the planets is an accidental property of nine. Some philosophers believe that all properties are either essential by nature or accidental by nature. A property is essential by nature if it can be an essential property of some entity and, necessarily, it is an essential property of each entity that is an instance of it. The property of being self-identical is thus essential by nature. However, it is controversial whether every property that is essential to something must be essential by nature. The following is a candidate counterexple. If this automobile backfires loudly on a given occasion, loudness would seem to be an essential property of the associated bang. That particular bang could not exist without being loud. If the automobile had backfired softly, that particular bang would not have existed; an altogether distinct bang – a soft bang – would have existed. By contrast, if a man is loud, loudness is only an accidental property of him; he could exist without being loud. Loudness thus appears to be a counterexple: although it is an essential property of certain particulars, it is not essential by nature. It might be replied (echoing Aristotle) that a loud bang and a loud man instantiate loudness in different ways and, more generally, that properties can be predicated (instantiated) in different ways. If so, then one should be specific about which kind of predication (instantiation) is intended in the definition of ‘essential by nature’ and ‘accidental by nature’. When this is done, the counterexples might well disappear. If there are indeed different ways of being predicated (instantiated), most of the foregoing remarks about intensionality, identity criteria, and the ontological status of properties should be refined accordingly.  ESSENTIALISM, INTENSIONALITY, RELATION. G.B. property property 752    752 property, accidental proposition 753 property, accidental.RELATION. property, Cbridge.CBRIDGE CHANGE. property, consequential.SUPERVENIENCE. property, extrinsic.RELATION. property, hereditary.RELATION. property, impredicative.TYPE THEORY. property, intrinsic.RELATION. property, non-predicative.TYPE THEORY. property, phenomenal.QUALIA. property, predicative.TYPE THEORY. proportionality, principle of.CAJETAN.
proposition, an abstract object said to be that to which a person is related by a belief, desire, or other psychological attitude, typically expressed in language containing a psychological verb (‘think’, ‘deny’, ‘doubt’, etc.) followed by a thatclause. The psychological states in question are called propositional attitudes. When I believe that snow is white I stand in the relation of believing to the proposition that snow is white. When I hope that the protons will not decay, hope relates me to the proposition that the protons will not decay. A proposition can be a common object for various attitudes of various agents: that the protons will not decay can be the object of my belief, my hope, and your fear. A sentence expressing an attitude is also taken to express the associated proposition. Because ‘The protons will not decay’ identifies my hope, it identifies the proposition to which my hope relates me. Thus the proposition can be the shared meaning of this sentence and all its synonyms, in English or elsewhere (e.g., ‘die Protonen werden nicht zerfallen’). This, in sum, is the traditional doctrine of propositions. Although it seems indispensable in some form – for theorizing about thought and language, difficulties abound. Some critics regard propositions as excess baggage in any account of meaning. But unless this is an expression of nominalism, it is confused. Any systematic theory of meaning, plus an apparatus of sets (or properties) will let us construct proposition-like objects. The proposition a sentence S expresses might, e.g., be identified with a certain set of features that determines S’s meaning. Other sentences with these se features would then express the se proposition. A natural way to associate propositions with sentences is to let the features in question be semantically significant features of the words from which sentences are built. Propositions then acquire the logical structures of sentences: they are atomic, conditional, existential, etc. But combining the view of propositions as meanings with the traditional idea of propositions as bearers of truthvalues brings trouble. It is assumed that two sentences that express the se proposition have the se truth-value (indeed, that sentences have their truth-values in virtue of the propositions they express). Yet if propositions are also meanings, this principle fails for sentences with indexical elements: although ‘I  pale’ has a single meaning, two utterances of it can differ in truth-value. In response, one may suggest that the proposition a sentence S expresses depends both on the linguistic meaning of S and on the referents of S’s indexical elements. But this reveals that proposition is a quite technical concept – and one that is not motivated simply by a need to talk about meanings. Related questions arise for propositions as the objects of (propositional) attitudes. My belief that I  pale may be true, yours that you are pale false. So our beliefs should take distinct propositional objects. Yet we would each use the se sentence, ‘I  pale’, to express our belief. Intuitively, your belief and mine also play similar cognitive roles. We may each choose the sun exposure, clothing, etc., that we take to be appropriate to a fair complexion. So our attitudes seem in an important sense to be the se – an identity that the assignment of distinct propositional objects hides. Apparently, the characterization of beliefs (e.g.) as being propositional attitudes is at best one component of a more refined, largely unknown account. Quite apart from complications about indexicality, propositions inherit standard difficulties about meaning. Consider the beliefs that Hesperus is a planet and that Phosphorus is a planet. It seems that someone might have one but not the other, thus that they are attitudes toward distinct propositions. This difference apparently reflects the difference in meaning between the sentences ‘Hesperus is a planet’ and ‘Phosphorus is a planet’. The principle would be that non-synonymous sentences express distinct propositions. But it is unclear what makes for a difference in meaning. Since the sentences agree in logico-grmatical structure and in the refer   753 proposition, maximal propositional opacity 754 ents of their terms, their specific meanings must depend on some more subtle feature that has resisted definition. Hence our concept of proposition is also only partly defined. (Even the idea that the sentences here express the se proposition is not easily refuted.) What such difficulties show is not that the concept of proposition is invalid but that it belongs to a still rudimentary descriptive scheme. It is too thoroughly enmeshed with the concepts of meaning and belief to be of use in solving their attendant problems. (This observation is what tends, through a confusion, to give rise to skepticism about propositions.) One may, e.g., reasonably posit structured abstract entities – propositions – that represent the features on which the truth-values of sentences depend. Then there is a good sense in which a sentence is true in virtue of the proposition it expresses. But how does the use of words in a certain context associate them with a particular proposition? Lacking an answer, we still cannot explain why a given sentence is true. Similarly, one cannot explain belief as the acceptance of a proposition, since only a substantive theory of thought would reveal how the mind “accepts” a proposition and what it does to accept one proposition rather than another. So a satisfactory doctrine of propositions remains elusive. 

propositional function, an operation that, when applied to something as argument (or to more than one thing in a given order as arguments), yields a truth-value as the value of that function for that argument (or those arguments). This usage presupposes that truth-values are objects. A function may be singulary, binary, ternary, etc. A singulary propositional function is applicable to one thing and yields, when so applied, a truth-value. For exple, being a prime number, when applied to the number 2, yields truth; negation, when applied to truth, yields falsehood. A binary propositional function is applicable to two things in a certain order and yields, when so applied, a truth-value. For exple, being north of when applied to New York and Boston in that order yields falsehood. Material implication when applied to falsehood and truth in that order yields truth. The term ‘propositional function’ has a second use, to refer to an operation that, when applied to something as argument (or to more than one thing in a given order as arguments), yields a proposition as the value of the function for that argument (or those arguments). For exple, being a prime number when applied to 2 yields the proposition that 2 is a prime number. Being north of, when applied to New York and Boston in that order, yields the proposition that New York is north of Boston. This usage presupposes that propositions are objects. In a third use, ‘propositional function’ designates a sentence with free occurrences of variables. Thus, ‘x is a prime number’, ‘It is not the case that p’, ‘x is north of y’ and ‘if p then q’ are propositional functions in this sense. C.S. propositional justification.EPISTEMOLOGY. propositional knowledge.EPISTEMOLOGY. propositional object.PROPOSITION. propositional opacity, failure of a clause to express any particular proposition (especially due to the occurrence of pronouns or demonstratives). If having a belief about an individual involves a relation to a proposition, and if a part of the proposition is a way of representing the individual, then belief characterizations that do not indicate the believer’s way of representing the individual could be called propositionally opaque. They do not show all of the propositional elements. For exple, ‘My son’s clarinet teacher believes that he should try the bass drum’ would be propositionally opaque because ‘he’ does not indicate how my son John’s teacher represents John, e.g. as his student, as my son, as the boy now playing, etc. This characterization of the exple is not appropriate if propositions are as Russell conceived them, sometimes containing the individuals themselves as constituents, because then the propositional constituent (John) has been referred to. Generally, a characterization of a propositional    754 attitude is propositionally opaque if the expressions in the embedded clause do not refer to the propositional constituents. It is propositionally transparent if the expressions in the embedded clause do so refer. As a rule, referentially opaque contexts are used in propositionally transparent attributions if the referent of a term is distinct from the corresponding propositional constituent. 

DE DICTO, KNOWLEDGE DE RE, PROPOSITION, REFERENTIALLY TRANSPARENT. T.M. propositional operator.SENTENTIAL CONNECTIVE. propositional representation.COGNITIVE SCIENCE. propositional theory of meaning.MEANING. propositional verb.PROPOSITION. proprietates terminorum (Latin, ‘properties of terms’), in medieval logic from the twelfth century on, a cluster of semantic properties possessed by categorematic terms. For most authors, these properties apply only when the terms occur in the context of a proposition. The list of such properties and the theory governing them vary from author to author, but always include (1) suppositio. Some authors add (2) appellatio (‘appellating’, ‘ning’, ‘calling’, often not sharply distinguishing from suppositio), the property whereby a term in a certain proposition nes or is truly predicable of things, or (in some authors) of presently existing things. Thus ‘philosophers’ in ‘Some philosophers are wise’ appellates philosophers alive today. (3) pliatio (‘pliation’, ‘broadening’), whereby a term refers to past or future or merely possible things. The reference of ‘philosophers’ is pliated in ‘Some philosophers were wise’. (4) Restrictio (‘restriction’, ‘narrowing’), whereby the reference of a term is restricted to presently existing things (‘philosophers’ is so restricted in ‘Some philosophers are wise’), or otherwise narrowed from its normal range (‘philosophers’ in ‘Some Greek philosophers were wise’). (5) Copulatio (‘copulation’, ‘coupling’), which is the type of reference adjectives have (‘wise’ in ‘Some philosophers are wise’), or alternatively the semantic function of the copula. Other meanings too are sometimes given to these terms, depending on the author. Appellatio especially was given a wide variety of interpretations. In particular, for Buridan and other fourteenth-century Continental authors, appellatio means ‘connotation’. Restrictio and copulatio tended to drop out of the literature, or be treated only perfunctorily, after the thirteenth century.  SUPPOSITIO. P.V.S. proprioception.PERCEPTION. proprium, one of Porphyry’s five predicables, often translated as ‘property’ or ‘attribute’; but this should not be confused with the broad modern sense in which any feature of a thing may be said to be a property of it. A proprium is a nonessential peculiarity of a species. (There are no propria of individuals or genera generalissima, although they may have other uniquely identifying features.) A proprium necessarily holds of all members of its species and of nothing else. It is not mentioned in a real definition of the species, and so is not essential to it. Yet it somehow follows from the essence or nature expressed in the real definition. The standard exple is risibility (the ability to laugh) as a proprium of the species man. The real definition of ‘man’ is ‘rational animal’. There is no mention of any ability to laugh. Nevertheless anything that can laugh has both the biological apparatus to produce the sounds (and so is an animal) and also a certain wit and insight into humor (and so is rational). Conversely, any rational animal will have both the vocal chords and diaphragm required for laughing (since it is an animal, although the inference may seem too quick) and also the mental wherewithal to see the point of a joke (since it is rational). Thus any rational animal has what it takes to laugh. In short, every man is risible, and conversely, but risibility is not an essential feature of man. 

protocol statement, one of the statements that constitute the foundations of empirical knowledge. The term was introduced by proponents of foundationalism, who were convinced that in order to avoid the most radical skepticism, one propositional operator protocol statement 755    755 must countenance beliefs that are justified but not as a result of an inference. If all justified beliefs are inferentially justified, then to be justified in believing one proposition P on the basis of another, E, one would have to be justified in believing both E and that E confirms P. But if all justification were inferential, then to be justified in believing E one would need to infer it from some other proposition one justifiably believes, and so on ad infinitum. The only way to avoid this regress is to find some statement knowable without inferring it from some other truth. Philosophers who agree that empirical knowledge has foundations do not necessarily agree on what those foundations are. The British empiricists restrict the class of contingent protocol statements to propositions describing the contents of mind (sensations, beliefs, fears, desires, and the like). And even here a statement describing a mental state would be a protocol statement only for the person in that state. Other philosophers, however, would take protocol statements to include at least some assertions about the immediate physical environment. The plausibility of a given candidate for a protocol statement depends on how one analyzes non-inferential justification. Some philosophers rely on the idea of acquaintance. One is non-inferentially justified in believing something when one is directly acquainted with what makes it true. Other philosophers rely on the idea of a state that is in some sense self-presenting. Still others want to understand the notion in terms of the inconceivability of error. The main difficulty in trying to defend a coherent conception of non-inferential justification is to find an account of protocol statements that gives them enough conceptual content to serve as the premises of arguments, while avoiding the charge that the application of concepts always brings with it the possibility of error and the necessity of inference.  EPISTEMOLOGY, FOUNDATIONALISM. R.A.F. protothetic.LAWS OF THOUGHT, LEsNIEWSKI. prototype theory, a theory according to which human cognition involves the deployment of “categories” organized around stereotypical exemplars. Prototype theory differs from traditional theories that take the concepts with which we think to be individuated by means of boundary-specifying necessary and sufficient conditions. Advocates of prototypes hold that our concept of bird, for instance, consists in an indefinitely bounded conceptual “space” in which robins and sparrows are central, and chickens and penguins are peripheral – though the category may be differently organized in different cultures or groups. Rather than being all-ornothing, category membership is a matter of degree. This conception of categories was originally inspired by the notion, developed in a different context by Wittgenstein, of fily resemblance. Prototypes were first discussed in detail and given empirical credibility in the work of Eleanor Rosch (see, e.g., “On the Internal Structure of Perceptual and Semantic Categories,” 1973). 

ARTIFICIAL INTELLIGENCE, PHILOSOPHY OF MIND, WITTGENSTEIN. J.F.H. Proudhon, Pierre-Joseph (1809–65), French socialist theorist and father of anarchism. He bece well known following the publication of What Is Property? (1840), the work containing his main ideas. He argued that the owner of the means of production deprives the workers of a part of their labor: “property is theft.” In order to enable each worker to dispose of his labor, capital and largescale property must be limited. The need to abolish large-scale private property surpassed the immediate need for a state as a controlling agent over chaotic social relationships. To this end he stressed the need for serious reforms in the exchange system. Since the economy and society largely depended on the credit system, Proudhon advocated establishing popular banks that would approve interest-free loans to the poor. Such a mutualism would start the transformation of the actual into a just and nonexploited society of free individuals. Without class antagonism and political authorities, such a society would tend toward an association of communal and industrial collectivities. It would move toward a flexible world federation based on self-management. The main task of social science, then, is to make manifest this immanent logic of social processes. Proudhon’s ideas influenced anarchists, populists (Bakunin, Herzen), and syndicalists (Jaurès). His conception of self-management was an important inspiration for the later concept of soviets (councils). He criticized the inequalities of the contemporary society from the viewpoint of small producers and peasants. Although eclectic and theoretically rather naive, his work attracted the serious attention of his contemporaries and led to a strong attack by Marx in The Holy Fily and The Poverty of Philosophy. G.Fl. protothetic Proudhon, Pierre-Joseph 756    756 provability predicate.GÖDEL’S INCOMPLETENESS THEOREMS. prudence.ETHICS. pseudohallucination, a non-deceptive hallucination. An ordinary hallucination might be thought to comprise two components: (i) a sensory component, whereby one experiences an image or sensory episode similar in many respects to a veridical perceiving except in being non-veridical; and (ii) a cognitive component, whereby one takes (or is disposed to take) the image or sensory episode to be veridical. A pseudohallucination resembles a hallucination, but lacks this second component. In experiencing a pseudohallucination, one appreciates that one is not perceiving veridically. The source of the term seems to be the painter Wassily Kandinsky, who employed it (in 1885) to characterize a series of apparently drug-induced images experienced and pondered by a friend who recognized them, at the very time they were occurring, not to be veridical. Kandinsky’s account is discussed by Jaspers (in his General Psychopathology, 1916), and thereby entered the clinical lore. Pseudohallucinations may be brought on by the sorts of pathological condition that give rise to hallucinations, or by simple fatigue, emotional adversity, or loneliness. Thus, a driver, late at night, may react to non-existent objects or figures on the road, and immediately recognize his error.  PERCEPTION. J.F.H. pseudo-overdeterminism.
CAUSATION. pseudorandomness.COMPUTER THEORY. psychoanalysis.FREUD. psycholinguistics, an interdisciplinary research area that uses theoretical descriptions of language taken from linguistics to investigate psychological processes underlying language production, perception, and learning. There is considerable disagreement as to the appropriate characterization of the field and the major problems. Philosophers discussed many of the problems now studied in psycholinguistics before either psychology or linguistics were spawned, but the self-consciously interdisciplinary field combining psychology and linguistics emerged not long after the birth of the two disciplines. (Meringer used the adjective ‘psycholingisch-linguistische’ in an 1895 book.) Various national traditions of psycholinguistics continued at a steady but fairly low level of activity through the 1920s and declined somewhat during the 1930s and 1940s because of the antimentalist attitudes in both linguistics and psychology. Psycholinguistic researchers in the USSR, mostly inspired by L. S. Vygotsky (Thought and Language, 1934), were more active during this period in spite of official suppression. Numerous quasi-independent sources contributed to the rebirth of psycholinguistics in the 1950s; the most significant was a seminar held at Indiana University during the summer of 1953 that led to the publication of Psycholinguistics: A Survey of Theory and Research Problems (1954), edited by C. E. Osgood and T. A. Sebeok – a truly interdisciplinary book jointly written by more than a dozen authors. The contributors attempted to analyze and reconcile three disparate approaches: learning theory from psychology, descriptive linguistics, and information theory (which ce mainly from engineering). The book had a wide impact and led to many further investigations, but the nature of the field changed rapidly soon after its publication with the Chomskyan revolution in linguistics and the cognitive turn in psychology. The two were not unrelated: Chomsky’s positive contribution, Syntactic Structures, was less broadly influential than his negative review (Language, 1959) of B. F. Skinner’s Verbal Behavior. Against the empiricist-behaviorist view of language understanding and production, in which language is merely the exhibition of a more complex form of behavior, Chomsky argued the avowedly rationalist position that the ability to learn and use language is innate and unique to humans. He emphasized the creative aspect of language, that almost all sentences one hears or produces are novel. One of his premises was the alleged infinity of sentences in natural languages, but a less controversial argument can be given: there are tens of millions of five-word sentences in English, all of which are readily understood by speakers who have never heard them. Chomsky’s work promised the possibility of uncovering a very special characteristic of the human mind. But the promise was qualified by the disclaimer that linguistic theory describes only the competence of the ideal speaker. Many psycholinguists spent countless hours during the 1960s and 1970s seeking the traces of underlying competence beneath the untidy performances of actual speakers. During the 1970s, as Chomsky frequently revised his theories of syntax and semantics in significant ways, and numerous alternative linprovability predicate psycholinguistics 757    757 guistic models were under consideration, psychologists generated a range of productive research problems that are increasingly remote from the Chomskyan beginnings. Contemporary psycholinguistics addresses phonetic, phonological, syntactic, semantic, and pragmatic influences on language processing. Few clear conclusions of philosophical import have been established. For exple, several decades of animal research have shown that other species can use significant portions of human language, but controversy abounds over how central those portions are to language. Studies now clearly indicate the importance of word frequency and coarticulation, the dependency of a hearer’s identification of a sound as a particular phoneme, or of a visual pattern as a particular letter, not only on the physical features of the pattern but on the properties of other patterns not necessarily adjacent. Physically identical patterns may be heard as a d in one context and a t in another. It is also accepted that at least some of the human lignuistic abilities, particularly those involved in reading and speech perception, are relatively isolated from other cognitive processes. Infant studies show that children as young as eight months learn statistically important patterns characteristic of their natural language – suggesting a complex set of mechanisms that are automatic and invisible to us. 
COMMON GOOD, PHILOSOPHY OF ECONOMICS, SOCIAL CHOICE THEORY. Pufendorf, Suel (1632–94), German historian and theorist of natural law. Pufendorf was influenced by both Grotius and Hobbes. He portrayed people as contentious and quarrelsome, yet as needing one another’s company and assistance. Natural law shows how people can live with one another while pursuing their own conflicting projects. To minimize religious disputes about morals, Pufendorf sought a way of deriving laws of nature from observable facts alone. Yet he thought divine activity essential to morality. He opened his massive Latin treatise On the Law of Nature and of Nations (1672) with a voluntarist account of God’s creation of the essence of mankind: given that we have the nature God gave us, certain laws must be valid for us, but only God’s will determined our nature. As a result, our nature indicates God’s will for us. Hence observable facts about ourselves show us what laws God commands us to obey. Because we so obviously need one another’s assistance, the first law is to increase our sociability, i.e. our willingness to live together. All other laws indicate acts that would bring about this end. In the course of expounding the laws he thought important for the development of social life to the high cultural level our complex nature points us toward, Pufendorf analyzed all the main points that a full legal system must cover. He presented the rudiments of laws of marriage, property, inheritance, contract, and international relations in both war and peace. He also developed the Grotian theory of personal rights, asserting for the first time that rights are pointless unless for each right there are correlative duties binding on others. Taking obligation as his fundental concept, he developed an imporpsychological behaviorism Pufendorf, Suel 758    758 punishment Putn, Hilary 759 tant distinction between perfect and imperfect duties and rights. And in working out a theory of property he suggested the first outlines of a historical sociology of wealth later developed by Ad Smith. Pufendorf’s works on natural law were textbooks for all of Europe for over a century and were far more widely read than any other treatments of the subject.  DUTY, GROTIUS, HOBBES,
NATURAL LAW. J.B.S. punishment, a distinctive form of legal sanction, distinguished first by its painful or unpleasant nature (to the offender), and second by the ground on which the sanction is imposed, which must be because the offender offended against the norms of a society. None of these three attributes is a strictly necessary condition for proper use of the word ‘punishment’. There may be unpleasant consequences visited by nature upon an offender such that he might be said to have been “punished enough”; the consequences in a given case may not be unpleasant to a particular offender, as in the punishment of a masochist with his favorite form of self-abuse; and punishment may be imposed for reasons other than offense against society’s norms, as is the case with punishment inflicted in order to deter others from like acts. The “definitional stop” argument in discussions of punishment seeks to tie punishment analytically to retributivism. Retributivism is the theory that punishment is justified by the moral desert of the offender; on this view, a person who culpably does a wrongful action deserves punishment, and this desert is a sufficient as well as a necessary condition of just punishment. Punishment of the deserving, on this view, is an intrinsic good that does not need to be justified by any other good consequences such punishment may achieve, such as the prevention of crime. Retributivism is not to be confused with the view that punishment satisfies the feelings of vengeful citizens nor with the view that punishment preempts such citizens from taking the law into their own hands by vigilante action – these latter views being utilitarian. Retributivism is also not the view (sometimes called “weak” or “negative” retributivism) that only the deserving are to be punished, for desert on such a view typically operates only as a limiting and not as a justifying condition of punishment. The thesis known as the “definitional stop” says that punishment must be retributive in its justification if it is to be punishment at all. Bad treatment inflicted in order to prevent future crime is not punishment but deserves another ne, usually ‘telishment’. The dominant justification of non-retributive punishment (or telishment) is deterrence. The good in whose ne the bad of punishing is justified, on this view, is prevention of future criminal acts. If punishment is inflicted to prevent the offender from committing future criminal acts, it is styled “specific” or “special” deterrence; if punishment is inflicted to prevent others from committing future criminal acts, it is styled “general” deterrence. In either case, punishment of an action is justified by the future effect of that punishment in deterring future actors from committing crimes. There is some vagueness in the notion of deterrence because of the different mechanisms by which potential criminals are influenced not to be criminals by the exple of punishment: such punishment may achieve its effects through fear or by more benignly educating those would-be criminals out of their criminal desires.  ETHICS,

Putn, Hilary. “You are too formal, Grice.” erican philosopher who has made significant contributions to the philosophies of language, science, and mind, and to mathematical logic and metaphysics. He completed his Ph.D. in 1951 at the University of California (Los Angeles) and has taught at Northwestern, Princeton, MIT, and Harvard. In the late 1950s he contributed (with Martin Davis and Julia Robinson) to a proof of the unsolvability of Hilbert’s tenth problem (completed in 1970 by Yuri Matiyasevich). Rejecting both Platonism and conventionalism in mathematics, he explored the concepts of mathematical truth and logical necessity on the assumption that logic is not entirely immune from empirical revision – e.g., quantum mechanics may require a rejection of classical logic. In the 1950s and 1960s he advanced functionalism, an original theory of mind in which human beings are conceived as Turing machines (computers) and mental states are functional (or    759 computational) states. While this theory is presupposed by much contemporary research in cognitive science, Putn himself (in Representation and Reality, 1988) abandoned the view, arguing that genuine intentionality cannot be reduced to computational states because the content of beliefs is (a) determined by facts external to the individual and (b) individuatable only by interpreting our belief system as a whole (meaning holism). Putn’s criticism of functionalism relies on the “new theory of reference” – sometimes called the “causal” or “direct” theory – that he and Kripke (working independently) developed during the late 1960s and early 1970s and that is today embraced by many philosophers and scientists. In “The Meaning of ‘Meaning’ ” (1975) Putn claims that the reference of natural kind terms like ‘water’ is determined by facts about the world – the microphysical structure of water (H2O) and the linguistic practices of speakers – and not by the internal mental states of speakers. Early in his career, Putn chpioned scientific realism, rejecting conventionalism and arguing that without a realist commitment to theoretical entities (e.g., electrons) the success of science would be a “miracle.” In 1976 he fously abandoned metaphysical realism in favor of “internal realism,” which gives up commitment to mind-independent objects and relativizes ontology to conceptual schemes. In a series of model-theoretic arguments, Putn challenged the metaphysical realist assumption that an epistemically ideal theory might be false, claiming that it requires an implausibly “magical” theory of reference. To the se end, he sought to demonstrate that we are not “brains in a vat” and that radical skepticism is incoherent (Reason, Truth and History, 1981). More recently, he has emphasized conceptual relativity in his attack on metaphysical realism’s commitment to “one true theory” and, in his Dewey Lectures (1994), has defended direct perceptual realism, showing his allegiance to everyday “realism.” There is growing appreciation of the underlying unity in Putn’s work that helps correct his reputation for “changing his mind.” He has consistently sought to do justice both to the “real world” of common sense and science and to distinctly human ways of representing that world. In the 1990s his energies were increasingly directed to our “moral image of the world.” Leading a revival of erican pragmatism, he has attacked the fact–value dichotomy, articulating a moral view that resists both relativism and authoritarianism. Putn’s influence now extends beyond philosophers and scientists, to literary theorists, cognitive linguists, and theologians. 
CAUSAL THEORY OF PROPER NES, FUNCTIONALISM, MEANING, PHILOSOPHY OF LANGUAGE, PHILOSOPHY OF SCIENCE. D.L.A. Pyrrhonian Skepticism.SKEPTICISM, SKEPTICS. Pyrrho of Elis (c.365–c.270 B.C.), Greek philosopher, regarded as the founder of Skepticism. Like Socrates, he wrote nothing, but impressed many with provocative ideas and calm demeanor. His equanimity was admired by Epicurus; his attitude of indifference influenced early Stoicism; his attack on knowledge was taken over by the skeptical Academy; and two centuries later, a revival of Skepticism adopted his ne. Many of his ideas were anticipated by earlier thinkers, notably Democritus. But in denying the veracity of all sensations and beliefs, Pyrrho carried doubt to new and radical extremes. According to ancient anecdote, which presents him as highly eccentric, he paid so little heed to normal sensibilities that friends often had to rescue him from grave danger; some nonetheless insisted he lived into his nineties. He is also said to have emulated the “naked teachers” (as the Hindu Brahmans were called by Greeks) whom he met while traveling in the entourage of Alexander the Great. Pyrrho’s chief exponent and publicist was Timon of Phlius (c.325–c.235 B.C.). His bestpreserved work, the Silloi (“Lpoons”), is a parody in Homeric epic verse that mocks the pretensions of numerous philosophers on an imaginary visit to the underworld. According to Timon, Pyrrho was a “negative dogmatist” who affirmed that knowledge is impossible, not because our cognitive apparatus is flawed, but because the world is fundentally indeterminate: things themselves are “no more” cold than hot, or good than bad. But Timon makes clear that the key to Pyrrho’s Skepticism, and a major source of his impact, was the ethical goal he sought to achieve: by training himself to disregard all perception and values, he hoped to attain mental tranquility. 
ACADEMY, DEMOCRITUS, EPICUREANISM, SKEPTICS, STOICISM. S.A.W. Pythagoras (570?–495? B.C.), the most fous of the pre-Socratic Greek philosophers. He emigrated from the island of Sos (off Asia Minor) to Croton (southern Italy) in 530. There he Pyrrhonian Skepticism Pythagoras 760    760 founded societies based on a strict way of life. They had great political impact in southern Italy and aroused opposition that resulted in the burning of their meeting houses and, ultimately, in the societies’ disappearance in the fourth century B.C. Pythagoras’s fe grew exponentially with the pasage of time. Plato’s immediate successors in the Academy saw true philosophy as an unfolding of the original insight of Pythagoras. By the time of Iblichus (late third century A.D.), Pythagoreanism and Platonism had become virtually identified. Spurious writings ascribed both to Pythagoras and to other Pythagoreans arose beginning in the third century B.C. Eventually any thinker who saw the natural world as ordered according to pleasing mathematical relations (e.g., Kepler) ce to be called a Pythagorean. Modern scholarship has shown that Pythagoras was not a scientist, mathematician, or systematic philosopher. He apparently wrote nothing. The early evidence shows that he was fous for introducing the doctrine of metempsychosis, according to which the soul is immortal and is reborn in both human and animal incarnations. Rules were established to purify the soul (including the prohibition against eating beans and the emphasis on training of the memory). General reflections on the natural world such as “number is the wisest thing” and “the most beautiful, harmony” were preserved orally. A belief in the mystical power of number is also visible in the veneration for the tetractys (tetrad: the numbers 1–4, which add up to the sacred number 10). The doctrine of the harmony of the spheres – that the heavens move in accord with number and produce music – may go back to Pythagoras. It is often assumed that there must be more to Pythagoras’s thought than this, given his fe in the later tradition. However, Plato refers to him only as the founder of a way of life (Republic 600a9). In his account of pre-Socratic philosophy, Aristotle refers not to Pythagoras himself, but to the “so-called Pythagoreans” whom he dates in the fifth century. 
ARCHYTAS, PHILOLAUS. C.A.H. Pythagoreanism.PYTHAGORAS. Pythagoreanism Pythagoreanism 761    761 quale.QUALIA. qualia (singular: quale), those properties of mental states or events, in particular of sensations and perceptual states, which determine “what it is like” to have them. Sometimes ‘phenomenal properties’ and ‘qualitative features’ are used with the se meaning. The felt difference between pains and itches is said to reside in differences in their “qualitative character,” i.e., their qualia. For those who accept an “actobject” conception of perceptual experience, qualia may include such properties as “phenomenal redness” and “phenomenal roundness,” thought of as properties of sense-data, “phenomenal objects,” or portions of the visual field. But those who reject this conception do not thereby reject qualia; a proponent of the adverbial analysis of perceptual experience can hold that an experience of “sensing redly” is so in virtue of, in part, what qualia it has, while denying that there is any sense in which the experience itself is red. Qualia are thought of as non-intentional, i.e., non-representational, features of the states that have them. So in a case of “spectrum inversion,” where one person’s experiences of green are “qualitatively” just like another person’s experiences of red, and vice versa, the visual experiences the two have when viewing a ripe tomato would be alike in their intentional features (both would be of a red, round, bulgy surface), but would have different qualia. Critics of physicalist and functionalist accounts of mind have argued from the possibility of spectrum inversion and other kinds of “qualia inversion,” and from such facts as that no physical or functional description will tell one “what it is like” to smell coffee, that such accounts cannot accommodate qualia. Defenders of such accounts are divided between those who claim that their accounts can accommodate qualia and those who claim that qualia are a philosophical myth and thus that there are none to accommodate. 
PHILOSOPHY OF MIND, QUALITIES. S.Sho. qualisign.PEIRCE. qualitative identity.IDENTITY. qualitative predicate, a kind of predicate postulated in some attempts to solve the grue paradox. (1) On the syntactic view, a qualitative predicate is a syntactically more or less simple predicate. Such simplicity, however, is relative to the choice of primitives in a language. In English, ‘green’ and ‘blue’ are primitive, while ‘grue’ and ‘bleen’ must be introduced by definitions (‘green and first exined before T, or blue otherwise’, ‘blue and first exined before T, or green otherwise’, respectively). In other languages, ‘grue’ and ‘bleen’ may be primitive and hence “simple,” while ‘green’ and ‘blue’ must be introduced by definitions (‘grue and first exined before T, or bleen otherwise’, ‘bleen and first exined before T, or grue otherwise’, respectively). (2) On the semantic view, a qualitative predicate is a predicate to which there corresponds a property that is “natural” (to us) or of easy semantic access. The quality of greenness is easy and natural; the quality of grueness is strained. (3) On the ontological view, a qualitative predicate is a predicate to which there corresponds a property that is woven into the causal or modal structure of reality in a way that gruesome properties are not.  GRUE PARADOX, PROPERTY. D.A.J. qualities, properties or characteristics. There are three specific philosophical senses. (1) Qualities are physical properties, logical constructions of physical properties, or dispositions. Physical properties, such as mass, shape, and electrical charge, are properties in virtue of which objects can enter into causal relations. Logical constructions of physical properties include conjunctions and disjunctions of them; being 10 # .02 cm long is a disjunctive property. A disposition of an object is a potential for the object to enter into a causal interaction of some specific kind under some specific condition; e.g., an object is soluble in water if and only if it would dissolve were it in enough pure water. (Locke held a very complex theory of powers. On Locke’s theory, the dispositions of objects are a kind of power and the human will is a kind of power. However, the human will is not part of 762 Q    762 the modern notion of disposition.) So, predicating a disposition of an object implies a subjunctive conditional of the form: if such-and-such were to happen to the object, then so-and-so would happen to it; that my vase is fragile implies that if my vase were to be hit sufficiently hard then it would break. (Whether physical properties are distinct from dispositions is disputed.) Three sorts of qualities are often distinguished. Primary qualities are physical properties or logical constructions from physical properties. Secondary qualities are dispositions to produce sensory experiences of certain phenomenal sorts under appropriate conditions. The predication of a secondary quality, Q, to an object implies that if the object were to be perceived under normal conditions then the object would appear to be Q to the perceivers: if redness is a secondary quality, then that your coat is red implies that if your coat were to be seen under normal conditions, it would look red. Locke held that the following are secondary qualities: colors, tastes, smells, sounds, and warmth or cold. Tertiary qualities are dispositions that are not secondary qualities, e.g. fragility. (Contrary to Locke, the color realist holds that colors are either primary or tertiary qualities; so that x is yellow is logically independent of the fact that x looks yellow under normal conditions. Since different spectral reflectances appear to be the se shade of yellow, some color realists hold that any shade of yellow is a disjunctive property whose components are spectral reflectances.) (2) Assuming a representative theory of perception, as Locke did, qualities have two characteristics: qualities are powers (or dispositions) of objects to produce sensory experiences (sensedata on some theories) in humans; and, in sensory experience, qualities are represented as intrinsic properties of objects. Instrinsic properties of objects are properties that objects have independently of their environment. Hence an exact duplicate of an object has all the intrinsic properties of the original, and an intrinsic property of x never has the form, x-stands-in-suchand-such-a-relation-to-y. Locke held that the primary qualities are extension (size), figure (shape), motion or rest, solidity (impenetrability), and number; the primary qualities are correctly represented in perception as intrinsic features of objects, and the secondary qualities (listed in (1)) are incorrectly represented in perception as intrinsic features of objects. (Locke seems to have been mistaken in holding that number is a quality of objects.) Positional qualities are qualities defined in terms of the relative positions of points in objects and their surrounding: shape, size, and motion and rest. Since most of Locke’s primary qualities are positional, some non-positional quality is needed to occupy positions. On Locke’s account, solidity fulfills this role, although some have argued (Hume) that solidity is not a primary quality. (3) Primary qualities are properties common to and inseparable from all matter; secondary qualities are not really qualities in objects, but only powers of objects to produce sensory effects in us by means of their primary qualities. (This is another use of ‘quality’ by Locke, where ‘primary’ functions much like ‘real’ and real properties are given by the metaphysical assumptions of the science of Locke’s time.) Qualities are distinct from representations of them in predications. Sometimes the se quality is represented in different ways by different predications: ‘That is water’ and ‘That is H2O’. The distinction between qualities and the way they are represented in predications opens up the Lockean possibility that some qualities are incorrectly represented in some predications. Features of predications are sometimes used to define a quality; dispositions are sometimes defined in terms of subjunctive conditionals (see definition of ‘secondary qualities’ in (1)), and disjunctive properties are defined in terms of disjunctive predications. Features of predications are also used in the following definition of ‘independent qualities’: two qualities, P and Q, are independent if and only if, for any object x, the predication of P and of Q to x are logically independent (i.e., that x is P and that x is Q are logically independent); circularity and redness are independent, circularity and triangularity are dependent. (If two determinate qualities, e.g., circularity and triangularity, belong to the se determinable, say shape, then they are dependent, but if two determinate qualities, e.g., squareness and redness, belong to different determinables, say shape and color, they are independent.) 

DISPOSITION, PROPERTY, QUALIA. E.W.A. quality.SYLLOGISM. quantification, the application of one or more quantifiers (e.g., ‘for all x’, ‘for some y’) to an open formula. A quantification (or quantified) sentence results from first forming an open formula from a sentence by replacing expressions belonging to a certain class of expressions in the sentences by variables (whose substituends are quality quantification 763    763 the expressions of that class) and then prefixing the formula with quantifiers using those variables. For exple, from ‘Bill hates Mary’ we form ‘x hates y’, to which we prefix the quantifiers ‘for all x’ and ‘for some y’, getting the quantification sentence ‘for all x, for some y, x hates y’ (‘Everyone hates someone’). In referential quantification only terms of reference may be replaced by variables. The replaceable terms of reference are the substituends of the variables. The values of the variables are all those objects to which reference could be made by a term of reference of the type that the variables may replace. Thus the previous exple ‘for all x, for some y, x hates y’ is a referential quantification. Terms standing for people (‘Bill’, ‘Mary’, e.g.) are the substituends of the variables ‘x’ and ‘y’. And people are the values of the variables. In substitutional quantification any type of term may be replaced by variables. A variable replacing a term has as its substituends all terms of the type of the replaced term. For exple, from ‘Bill married Mary’ we may form ‘Bill R Mary’, to which we prefix the quantifier ‘for some R’, getting the substitutional quantification ‘for some R, Bill R Mary’. This is not a referential quantification, since the substituends of ‘R’ are binary predicates (such as ‘marries’), which are not terms of reference. Referential quantification is a species of objectual quantification. The truth conditions of quantification sentences objectually construed are understood in terms of the values of the variable bound by the quantifier. Thus, ‘for all v, fv’ is true provided ‘fv’ is true for all values of the variable ‘v’; ‘for some v, fv’ is true provided ‘fv’ is true for some value of the variable ‘v’. The truth or falsity of a substitutional quantification turns instead on the truth or falsity of the sentences that result from the quantified formula by replacing variables by their substituends. For exple, ‘for some R, Bill R Mary’ is true provided some sentence of the form ‘Bill R Mary’ is true. In classical logic the universal quantifier ‘for all’ is definable in terms of negation and the existential quantifier ‘for some’: ‘for all x’ is short for ‘not for some x not’. The existential quantifier is similarly definable in terms of negation and the universal quantifier. In intuitionistic logic, this does not hold. Both quantifiers are regarded as primitive.  FORMAL LOGIC, PHILOSOPHY OF LOGIC. C.S. quantificational shift fallacy.FORMAL FALLACY. quantification theory, elementary.FORMAL LOGIC. quantifier.FORMAL LOGIC, PLURALITIVE LOGIC. quantifier elimination.UNIVERSAL INSTANTIATION. quantifier shift fallacy.FORMAL FALLACY. quantifying in, use of a quantifier outside of an opaque construction to attempt to bind a variable within it, a procedure whose legitimacy was first questioned by Quine. An opaque construction is one that resists substitutivity of identity. ong others, the constructions of quotation, the verbs of propositional attitude, and the logical modalities can give rise to opacity. For exple, the position of ‘six’ in: (1) ‘six’ contains exactly three letters is opaque, since the substitution for ‘six’ by its codesignate ‘immediate successor of five’ renders a truth into a falsehood: (1H) ‘the immediate successor of five’ contains exactly three letters. Similarly, the position of ‘the earth’ in: (2) Tom believes that the earth is habitable is opaque, if the substitution of ‘the earth’ by its codesignate ‘the third planet from the sun’ renders a sentence that Tom would affirm into one that he would deny: (2H) Tom believes that the third planet from the sun is habitable. Finally, the position of ‘9’ (and of ‘7’) in: (3) Necessarily (9 ( 7) is opaque, since the substitution of ‘the number of major planets’ for its codesignate ‘9’ renders a truth into a falsehood: (3H) Necessarily (the number of major planets ( 7). Quine argues that since the positions within opaque constructions resist substitutivity of identity, they cannot meaningfully be quantified. Accordingly, the following three quantified sentences are meaningless: (1I) (Ex) (‘x’ ( 7), (2I) (Ex) (Tom believes that x is habitable), quantificational shift fallacy quantifying in 764    764 (3I) (Ex) necessarily (x ( 7). (1I), (2I), and (3I) are meaningless, since the second occurrence of ‘x’ in each of them does not function as a variable in the ordinary (nonessentialist) quantificational way. The second occurrence of ‘x’ in (1I) functions as a ne that nes the twenty-fourth letter of the alphabet. The second occurrences of ‘x’ in (2I) and in (3I) do not function as variables, since they do not allow all codesignative terms as substituends without change of truth-value. Thus, they may take objects as values but only objects designated in certain ways, e.g., in terms of their intensional or essential properties. So, short of acquiescing in an intensionalist or essentialist metaphysics, Quine argues, we cannot in general quantify into opaque contexts.

 INTENSIONALITY, MEANING, SUBSTITUTIVITY SALVA VERITATE. R.F.G. quantity.MAGNITUDE, SYLLOGISM. quantum logic, the logic of which the models are certain non-Boolean algebras derived from the mathematical representation of quantum mechanical systems. (The models of classical logic are, formally, Boolean algebras.) This is the central notion of quantum logic in the literature, although the term covers a variety of modal logics, dialogics, and operational logics proposed to elucidate the structure of quantum mechanics and its relation to classical mechanics. The dynical quantities of a classical mechanical system (position, momentum, energy, etc.) form a commutative algebra, and the dynical properties of the system (e.g., the property that the position lies in a specified range, or the property that the momentum is greater than zero, etc.) form a Boolean algebra. The transition from classical to quantum mechanics involves the transition from a commutative algebra of dynical quantities to a noncommutative algebra of so-called observables. One way of understanding the conceptual revolution from classical to quantum mechanics is in terms of a shift from the class of Boolean algebras to a class of non-Boolean algebras as the appropriate relational structures for the dynical properties of mechanical systems, hence from a Boolean classical logic to a non-Boolean quantum logic as the logic applicable to the fundental physical processes of our universe. This conception of quantum logic was developed formally in a classic 1936 paper by G. Birkhoff and J. von Neumann (although von Neumann first proposed the idea in 1927). The features that distinguish quantum logic from classical logic vary with the formulation. In the Birkhoff–von Neumann logic, the distributive law of classical logic fails, but this is by no means a feature of all versions of quantum logic. It follows from Gleason’s theorem (1957) that the non-Boolean models do not admit two-valued homomorphisms in the general case, i.e., there is no partition of the dynical properties of a quantum mechanical system into those possessed by the system and those not possessed by the system that preserves algebraic structure, and equivalently no assignment of values to the observables of the system that preserves algebraic structure. This result was proved independently for finite sets of observables by S. Kochen and E. P. Specker (1967). It follows that the probabilities specified by the Born interpretation of the state function of a quantum mechanical system for the results of measurements of observables cannot be derived from a probability distribution over the different possible sets of dynical properties of the system, or the different possible sets of values assignable to the observables (of which one set is presumed to be actual), determined by hidden variables in addition to the state function, if these sets of properties or values are required to preserve algebraic structure. While Bell’s theorem (1964) excludes hidden variables satisfying a certain locality condition, the Kochen-Specker theorem relates the non-Booleanity of quantum logic to the impossibility of hidden variable extensions of quantum mechanics, in which value assignments to the observables satisfy constraints imposed by the algebraic structure of the observables.  BOOLEAN ALGEBRA, PHILOSOPHY OF SCIENCE, QUANTUM MECHANICS. J.Bub quantum mechanics, also called quantum theory, the science governing objects of atomic and subatomic dimensions. Developed independently by Werner Heisenberg (as matrix mechanics, 1925) and Erwin Schrödinger (as wave mechanics, 1926), quantum mechanics breaks with classical treatments of the motions and interactions of bodies by introducing probability and acts of measurement in seemingly irreducible ways. In the widely used Schrödinger version, quantum mechanics associates with each physical system a time-dependent function, called the state function (alternatively, the state vector or Y function). The evolution of the system is represented quantity quantum mechanics 765    765 quantum mechanics quantum mechanics 766 by the temporal transformation of the state function in accord with a master equation, known as the Schrödinger equation. Also associated with a system are “observables”: (in principle) measurable quantities, such as position, momentum, and energy, including some with no good classical analogue, such as spin. According to the Born interpretation (1926), the state function is understood instrumentally: it enables one to calculate, for any possible value of an observable, the probability that a measurement of that observable would find that particular value. The formal properties of observables and state functions imply that certain pairs of observables (such as linear momentum in a given direction, and position in the se direction) are incompatible in the sense that no state function assigns probability 1 to the simultaneous determination of exact values for both observables. This is a qualitative statement of the Heisenberg uncertainty principle (alternatively, the indeterminacy principle, or just the uncertainty principle). Quantitatively, that principle places a precise limit on the accuracy with which one may simultaneously measure a pair of incompatible observables. There is no corresponding limit, however, on the accuracy with which a single observable (say, position alone, or momentum alone) may be measured. The uncertainty principle is sometimes understood in terms of complementarity, a general perspective proposed by Niels Bohr according to which the connection between quantum phenomena and observation forces our classical concepts to split into mutually exclusive packages, both of which are required for a complete understanding but only one of which is applicable under any particular experimental conditions. Some take this to imply an ontology in which quantum objects do not actually possess simultaneous values for incompatible observables; e.g., do not have simultaneous position and momentum. Others would hold, e.g., that measuring the position of an object causes an uncontrollable change in its momentum, in accord with the limits on simultaneous accuracy built into the uncertainty principle. These ways of treating the principle are not uncontroversial. Philosophical interest arises in part from where the quantum theory breaks with classical physics: nely, from the apparent breakdown of determinism (or causality) that seems to result from the irreducibly statistical nature of the theory, and from the apparent breakdown of observer-independence or realism that seems to result from the fundental role of measurement in the theory. Both features relate to the interpretation of the state function as providing only a summary of the probabilities for various measurement outcomes. Einstein, in particular, criticized the theory on these grounds, and in 1935 suggested a striking thought experiment to show that, assuming no action-at-a-distance, one would have to consider the state function as an incomplete description of the real physical state for an individual system, and therefore quantum mechanics as merely a provisional theory. Einstein’s exple involved a pair of systems that interact briefly and then separate, but in such a way that the outcomes of various measurements performed on each system, separately, show an uncanny correlation. In 1951 the physicist David Bohm simplified Einstein’s exple, and later (1957) indicated that it may be realizable experimentally. The physicist John S. Bell then formulated a locality assumption (1964), similar to Einstein’s, that constrains factors which might be used in describing the state of an individual system, so-called hidden variables. Locality requires that in the EinsteinBohm experiment hidden variables not allow the measurement performed on one system in a correlated pair immediately to influence the outcome obtained in measuring the other, spatially separated system. Bell demonstrated that locality (in conjunction with other assumptions about hidden variables) restricts the probabilities for measurement outcomes according to a system of inequalities known as the Bell inequalities, and that the probabilities of certain quantum systems violate these inequalities. This is Bell’s theorem. Subsequently several experiments of the Einstein-Bohm type have been performed to test the Bell inequalities. Although the results have not been univocal, the consensus is that the experimental data support the quantum theory and violate the inequalities. Current research is trying to evaluate the implications of these results, including the extent to which they rule out local hidden variables. (See J. Cushing and E. McMullin, eds., Philosophical Consequences of Quantum Theory, 1989.) The descriptive incompleteness with which Einstein charged the theory suggests other problems. A particularly dratic one arose in correspondence between Schrödinger and Einstein; nely, the “gruesome” Schrödinger cat paradox. Here a cat is confined in a closed chber containing a radioactive atom with a fifty-fifty chance of decaying in the next hour. If the atom decays it triggers a relay that causes a hmer to fall and smash a glass vial holding a quantity of    766 prussic acid sufficient to kill the cat. According to the Schrödinger equation, after an hour the state function for the entire atom ! relay ! hmer ! glass vial ! cat system is such that if we observe the cat the probability for finding it alive (dead) is 50 percent. However, this evolved state function is one for which there is no definite result; according to it, the cat is neither alive nor dead. How then does any definite fact of the matter arise, and when? Is the act of observation itself instrumental in bringing about the observed result, does that result come about by virtue of some special random process, or is there some other account compatible with definite results of measurements? This is the so-called quantum measurement problem and it too is an active area of research.  DETERMINISM, EINSTEIN, FIELD THEORY, PHILOSOPHY OF SCIENCE, RELATIVITY. A.F. quasi-indicator, Castañeda’s term for an expression used to ascribe indexical reference to a speaker or thinker. If John says “I  hungry” it is incorrect to report what he said with ‘John claims that I  hungry’, since ‘I’, being an indexical, expresses speaker’s reference, not John’s. However, ‘John claims that John is hungry’ fails to represent the indexical element of his assertion. Instead, we use ‘John claims that he himself is hungry’, where ‘he himself’ is a quasiindicator depicting John’s reference to himself qua self. Because of its subjective and perspectival character, we cannot grasp the exact content of another’s indexical reference, yet quasi-indexical representations are possible since we confront the world through generically the se indexical modes of presentation. If these modes are irreducible, then quasi-indicators are indispensable for describing the thoughts and experiences of others. As such, they are not equivalent to or replaceable by any antecedents occurring outside the scope of psychological verbs to which they are subordinated.  CASTAÑEDA, GUISE THEORY, INDEXICAL, SCOPE. T.K. quasi-quotes.CORNERS. quaternio terminorum.SYLLOGISM. quiddity.AVICENNA,

ESSENTIALISM. Quine, W(illard) V(an) O(rman) (b.1908), erican philosopher and logician, renowned for his rejection of the analytic–synthetic distinction and for his advocacy of extensionalism, naturalism, physicalism, empiricism, and holism. Quine took his doctorate in philosophy at Harvard in 1932. After four years of postdoctoral fellowships, he was appointed to the philosophy faculty at Harvard in 1936. There he remained until he retired from teaching in 1978. During six decades Quine published scores of journal articles and more than twenty books. His writings touch a number of areas, including logic, philosophy of logic, set theory, philosophy of language, philosophy of mind, philosophy of science, metaphysics, epistemology, and ethics. ong his most influential articles and books are “New Foundations for Mathematical Logic” (1936), “Two Dogmas of Empiricism” (1951), “Epistemology Naturalized” (1969), and Word and Object (1960). In “New Foundations” he develops a set theory that avoids Russell’s paradox without relying on Russell’s theory of types. Rather, following Ernst Zermelo, Quine drops the presumption that every membership condition determines a set. The system of “New Foundations” continues to be widely discussed by mathematicians. “Two Dogmas” sets out to repudiate what he sees as two dogmas of logical empiricism. The first is the so-called analytic–synthetic distinction; the second is a weak form of reductionism to the effect that each synthetic statement has associated with it a unique set of confirming experiences and a unique set of infirming experiences. Against the first dogma, Quine argues that none of the then-current attempts to characterize analyticity (e.g., “a statement is analytic if and only if it is true solely in virtue of its meaning”) do so with sufficient clarity, and that any similar characterization is likewise doomed to fail. Against the second dogma, Quine argues that a more accurate account of the relation between the statements of a theory and experience is holistic rather than reductionistic, that is, only as a corporate body do the statements of a theory face the tribunal of experience. Quine concludes that the effects of rejecting these two dogmas of empiricism are (1) a blurring of the supposed boundary between speculative metaphysics and natural science and (2) a shift toward pragmatism. In “Epistemology Naturalized” Quine argues in favor of naturalizing epistemology: old-time epistemology (first philosophy) has failed in its attempt to ground science on something firmer than science and should, therefore, be replaced by a scientific account of how we acquire our overall theory of the world and why it works so well. quasi-indicator Quine, W(illard) V(an) O(rman) 767    767 In Word and Object, Quine’s most fous book, he argues in favor of (1) naturalizing epistemology, (2) physicalism as against phenomenalism and mind–body dualism, and (3) extensionality as against intensionality. He also (4) develops a behavioristic conception of sentence-meaning, (5) theorizes about language learning, (6) speculates on the ontogenesis of reference, (7) explains various forms of biguity and vagueness, (8) recommends measures for regimenting language so as to eliminate biguity and vagueness as well as to make a theory’s logic and ontic commitments perspicuous (“to be is to be the value of a bound variable”), (9) argues against quantified modal logic and the essentialism it presupposes, (10) argues for Platonic realism in mathematics, (11) argues for scientific realism and against instrumentalism, (12) develops a view of philosophical analysis as explication, (13) argues against analyticity and for holism, (14) argues against countenancing propositions, and (15) argues that the meanings of theoretical sentences are indeterminate and that the reference of terms is inscrutable. Quine’s subsequent writings have largely been devoted to summing up, clarifying, and expanding on themes found in Word and Object.  ANALYTIC –SYNTHETIC DISTINCTION, EMPIRICISM, EXTENSIONALISM, HOLISM, NATURALISM, NATURALISTIC EPISTEMOLOGY, PHYSICALISM. R.F.G. quinque voces.PREDICABLES. quinque voces quinque voces 768    768 Rabad.IBN DAUD. racetrack paradox.ZENO’S PARADOXES. racism, hostility, contempt, condescension, or prejudice, on the basis of social practices of racial classification, and the wider phenomena of social, economic, and political mistreatment that often accompany such classification. The most salient instances of racism include the Nazi ideology of the “Aryan master race,” erican chattel slavery, South African apartheid in the late twentieth century, and the “Jim Crow” laws and traditions of segregation that subjugated African descendants in the Southern United States during the century after the erican Civil War. Social theorists dispute whether, in its essence, racism is a belief or an ideology of racial inferiority, a system of social oppression on the basis of race, a form of discourse, discriminatory conduct, or an attitude of contempt or heartlessness (and its expression in individual or collective behavior). The case for any of these as the essence of racism has its drawbacks, and a proponent must show how the others can also come to be racist in virtue of that essence. Some deny that racism has any nature or essence, insisting it is nothing more than changing historical realities. However, these thinkers must explain what makes each reality an instance of racism. Theorists differ over who and what can be racist and under what circumstances, some restricting racism to the powerful, others finding it also in some reactions by the oppressed. Here, the former owe an explanation of why power is necessary for racism, what sort (economic or political? general or contextual?), and in whom or what (racist individuals? their racial groups?). Although virtually everyone thinks racism objectionable, people disagree over whether its central defect is cognitive (irrationality, prejudice), economic/prudential (inefficiency), or moral (unnecessary suffering, unequal treatment). Finally, racism’s connection with the biguous and controversial concept of race itself is complex. Plainly, racism presupposes the legitimacy of racial classifications, and perhaps the metaphysical reality of races. Nevertheless, some hold that racism is also prior to race, with racial classifications invented chiefly to explain and help justify the oppression of some peoples by others. The term originated to designate the pseudoscientific theories of racial essence and inferiority that arose in Europe in the nineteenth century and were endorsed by Germany’s Third Reich. Since the civil rights movement in the United States after World War II, the term has come to cover a much broader range of beliefs, attitudes, institutions, and practices. Today one hears charges of unconscious, covert, institutional, paternalistic, benign, anti-racist, liberal, and even reverse racism. Racism is widely regarded as involving ignorance, irrationality, unreasonableness, injustice, and other intellectual and moral vices, to such an extent that today virtually no one is willing to accept the classification of oneself, one’s beliefs, and so on, as racist, except in contexts of self-reproach. As a result, classifying anything as racist, beyond the most egregious cases, is a serious charge and is often hotly disputed. 

JUSTICE, POLITICAL PHILOSOPHY, SOCIAL PHILOSOPHY. J.L.A.G. radical translation.INDETERMINACY OF TRANSLATION. Ranuja (1017?–1137?), Indian philosopher who founded the Visistadvaita tradition. His theistic system provides the theoretical basis for Bhakti devotional Hinduism. His most important writings are the Sribhafya (a commentary on the Brahma-Sutras of Badarayana that presents an interpretation competitive to Shankara’s), the Gita-Bhacya (a commentary on the Bhagavad Gita), and the Vedarthasgraha (a commentary on the Upanishads). He rejects natural theology, offers a powerful criticism of Advaita Vedanta, and presents a systematic articulation of devotional theism.  VISISTADVAITA VEDANTA. K.E.Y. rified type theory.TYPE THEORY. Rist movement.RUS. Rsey, Frank Plumpton (1903–30), influential 769 R    769 British philosopher of logic and mathematics. His primary interests were in logic and philosophy, but decades after his untimely death two of his publications sparked new branches of economics, and in pure mathematics his combinatorial theorems gave rise to “Rsey theory” (Economic Journal 1927, 1928; Proc. London Math. Soc., 1928). During his lifetime Rsey’s philosophical reputation outside Cbridge was based largely on his architectural reparation of Whitehead and Russell’s Principia Mathematica, strengthening its claim to reduce mathematics to the new logic formulated in Volume 1 – a reduction rounded out by Wittgenstein’s assessment of logical truths as tautologous. Rsey clarified this logicist picture of mathematics by radically simplifying Russell’s rified theory of types, eliminating the need for the unarguable axiom of reducibility (Proc. London Math. Soc., 1925). His philosophical work was published mostly after his death. The canon, established by Richard Braithwaite (The Foundations of Mathematics . . . , 1931), remains generally intact in D. H. Mellor’s edition (Philosophical Papers, 1990). Further writings of varying importance appear in his Notes on Philosophy, Probability and Mathematics (M. C. Galavotti, ed., 1991) and On Truth (Nicholas Rescher and Ulrich Majer, eds., 1991). As an undergraduate Rsey observed that the redundancy account of truth “enables us to rule out at once some theories of truth such as that ‘to be true’ means ‘to work’ or ‘to cohere’ since clearly ‘p works’ and ‘p coheres’ are not equivalent to ‘p’.” Later, in the canonical “Truth and Probability” (1926), he readdressed to knowledge and belief the main questions ordinarily associated with truth, analyzing probability as a mode of judgment in the frework of a theory of choice under uncertainty. Reinvented and acknowledged by L. J. Savage (Foundations of Statistics, 1954), this forms the theoretical basis of the currently dominant “Bayesian” view of rational decision making. Rsey cut his philosophical teeth on Wittgenstein’s Tractatus LogicoPhilosophicus. His translation appeared in 1922; a long critical notice of the work (1923) was his first substantial philosophical publication. His later role in Wittgenstein’s rejection of the Tractatus is acknowledged in the foreword to Philosophical Investigations (1953). The posthumous canon has been a gold mine. An exple: “Propositions” (1929), reading the theoretical terms (T, U, etc.) of an axiomatized scientific theory as variables, sees the theory’s content as conveyed by a “Rsey sentence” saying that for some T, U, etc., the theory’s axioms are true, a sentence in which all extralogical terms are observational. Another exple: “General Propositions and Causality” (1929), offering in a footnote the “Rsey test” for acceptability of conditionals, i.e., add the if-clause to your bient beliefs (minimally modified to make the enlarged set self-consistent), and accept the conditional if the then-clause follows. 

BAYESIAN RATIONALITY, PROBABILITY, TRUTH. R.J. Rsey-eliminability.BETH’S DEFINABILITY THEOREM. Rsey sentence.PHILOSOPHY OF MIND, PHILOSOPHY OF SCIENCE. Rsey test.RSEY. Rus, Petrus, in French, Pierre de La Rée (1515–72), French philosopher who questioned the authority of Aristotle and influenced the methods and teaching of logic through the seventeenth century. In 1543 he published his Dialecticae institutiones libri XV, and in 1555 reworked it as Dialectique – the first philosophical work in French. He was appointed by François I as the first Regius Professor of the University of Paris, where he taught until he was killed in the St. Bartholomew’s Day Massacre in 1572. Rus doubted that we can apodictically intuit the major premises required for Aristotle’s rational syllogism. Turning instead to Plato, Rus proposed that a “Socratizing” of logic would produce a more workable and fruitful result. As had Agricola and Sturm, he reworked the rhetorical and liberal arts traditions’ concepts of “invention, judgment, and practice,” placing “method” in the center of judgment. Proceeding in these stages, we can “read” nature’s “arguments,” because they are modeled on natural reasoning, which in turn can emulate the reasoning by which God creates. Often his results were depicted graphically in tables (as in chapter IX of Hobbes’s Leviathan). When carefully done they would show both what is known and where gaps require further investigation; the process from invention to judgment is continuous. Rus’s works saw some 750 editions in one century, fostering the “Rist” movement in emerging Protestant universities and the erican colonies. He influenced Bacon, Hobbes, Milton, Methodism, Cbridge Platonism, and Alsted in Europe, and Hooker and Congregationalism in Puritan erica. Inconsistencies make him less than a major figure in the history Rsey-eliminability Rus, Petrus 770    770 of logic, but his many works and their rapid popularity led to philosophical and educational efforts to bring the world of learning to the “plain man” by using the vernacular, and by more closely correlating the rigor of philosophy with the memorable and persuasive powers of rhetoric; he saw this goal as Socratic. C.Wa. randomness.PHILOSOPHY OF SCIENCE. range.RELATION. Rashdall, Hastings (1858–1924), English historian, theologian, and personal idealist. While acknowledging that Berkeley needed to be corrected by Kant, Rashdall defended Berkeley’s thesis that objects only exist for minds. From this he concluded that there is a divine mind that guarantees the existence of nature and the objectivity of morality. In his most important philosophical work, The Theory of Good and Evil (1907), Rashdall argued that actions are right or wrong according to whether they produce well-being, in which pleasure as well as a virtuous disposition are constituents. Rashdall coined the ne ‘ideal utilitarianism’ for this view.  UTILITARIANISM. J.W.A. rational choice theory.DECISION THEORY. rationalism, the position that reason has precedence over other ways of acquiring knowledge, or, more strongly, that it is the unique path to knowledge. It is most often encountered as a view in epistemology, where it is traditionally contrasted with empiricism, the view that the senses are primary with respect to knowledge. (It is important here to distinguish empiricism with respect to knowledge from empiricism with respect to ideas or concepts; whereas the former is opposed to rationalism, the latter is opposed to the doctrine of innate ideas.) The term is also encountered in the philosophy of religion, where it may designate those who oppose the view that revelation is central to religious knowledge; and in ethics, where it may designate those who oppose the view that ethical principles are grounded in or derive from emotion, empathy, or some other non-rational foundation. The term ‘rationalism’ does not generally designate a single precise philosophical position; there are several ways in which reason can have precedence, and several accounts of knowledge to which it may be opposed. Furthermore, the very term ‘reason’ is not altogether clear. Often it designates a faculty of the soul, distinct from sensation, imagination, and memory, which is the ground of a priori knowledge. But there are other conceptions of reason, such as the narrower conception in which Pascal opposes reason to “knowledge of the heart” (Pensées, section 110), or the computational conception of reason Hobbes advances in Leviathan I.5. The term might thus be applied to a number of philosophical positions from the ancients down to the present. ong the ancients, ‘rationalism’ and ‘empiricism’ especially denote two schools of medicine, the former relying primarily on a theoretical knowledge of the hidden workings of the human body, the latter relying on direct clinical experience. The term might also be used to characterize the views of Plato and later Neoplatonists, who argued that we have pure intellectual access to the Forms and general principles that govern reality, and rejected sensory knowledge of the imperfect realization of those Forms in the material world. In recent philosophical writing, the term ‘rationalism’ is most closely associated with the positions of a group of seventeenth-century philosophers, Descartes, Spinoza, Leibniz, and sometimes Malebranche. These thinkers are often referred to collectively as the Continental rationalists, and are generally opposed to the socalled British empiricists, Locke, Berkeley, and Hume. All of the former share the view that we have a non-empirical and rational access to the truth about the way the world is, and all privilege reason over knowledge derived from the senses. These philosophers are also attracted to mathematics as a model for knowledge in general. But these common views are developed in quite different ways. Descartes claims to take his inspiration from mathematics – not mathematics as commonly understood, but the analysis of the ancients. According to Descartes, we start from first principles known directly by reason (the cogito ergo sum of the Meditations), what he calls intuition in his Rules for the Direction of the Mind; all other knowledge is deduced from there. A central aim of his Meditations is to show that this faculty of reason is trustworthy. The senses, on the other hand, are generally deceptive, leading us to mistake sensory qualities for real qualities of extended bodies, and leading us to the false philosophy of Aristotle and to Scholasticism. Descartes does not reject the senses altogether; in Meditation VI he argues that the senses are most often correct in circumstances concerning the preservation of life. Perhaps paradoxically, experiment is important to Descartes’s scientific randomness rationalism 771    771 work. However, his primary interest is in the theoretical account of the phenomena experiment reveals, and while his position is unclear, he may have considered experiment as an auxiliary to intuition and deduction, or as a second-best method that can be used with problems too complex for pure reason. Malebranche, following Descartes, takes similar views in his Search after Truth, though unlike Descartes, he emphasizes original sin as the cause of our tendency to trust the senses. Spinoza’s model for knowledge is Euclidean geometry, as realized in the geometrical form of the Ethics. Spinoza explicitly argues that we cannot have adequate ideas of the world through sensation (Ethics II, propositions 16–31). In the Ethics he does see a role for the senses in what he calls knowledge of the first and knowledge of the second kinds, and in the earlier Emendation of the Intellect, he suggests that the senses may be auxiliary aids to genuine knowledge. But the senses are imperfect and far less valuable, according to Spinoza, than intuition, i.e., knowledge of the third kind, from which sensory experience is excluded. Spinoza’s rationalism is implicit in a central proposition of the Ethics, in accordance with which “the order and connection of ideas is the se as the order and connection of things” (Ethics II, proposition 7), allowing one to infer causal connections between bodies and states of the material world directly from the logical connections between ideas. Leibniz, too, emphasizes reason over the senses in a number of ways. In his youth he believed that it would be possible to calculate the truth-value of every sentence by constructing a logical language whose structure mirrors the structure of relations between concepts in the world. This view is reflected in his mature thought in the doctrine that in every truth, the concept of the predicate is contained in the concept of the subject, so that if one could take the God’s-eye view (which, he concedes, we cannot), one could determine the truth or falsity of any proposition without appeal to experience (Discourse on Metaphysics, section 8). Leibniz also argues that all truths are based on two basic principles, the law of non-contradiction (for necessary truths), and the principle of sufficient reason (for contingent truths) (Monadology, section 31), both of which can be known a priori. And so, at least in principle, the truth-values of all propositions can be determined a priori. This reflects his practice in physics, where he derives a number of laws of motion from the principle of the equality of cause and effect, which can be known a priori on the basis of the principle of sufficient reason. But, at the se time, referring to the empirical school of ancient medicine, Leibniz concedes that “we are all mere Empirics in three fourths of our actions” (Monadology, section 28). Each of the so-called Continental rationalists does, in his own way, privilege reason over the senses. But the common designation ‘Continental rationalism’ arose only much later, probably in the nineteenth century. For their contemporaries, more impressed with their differences than their common doctrines, the Continental rationalists did not form a single homogeneous school of thought.  A PRIORI, EMPIRICISM, INTUITION. D.Garb. rationalism, Continental.RATIONALISM. rationalism, moral.MORAL SENSE THEORY. rationality. In its primary sense, rationality is a normative concept that philosophers have generally tried to characterize in such a way that, for any action, belief, or desire, if it is rational we ought to choose it. No such positive characterization has achieved anything close to universal assent because, often, several competing actions, beliefs, or desires count as rational. Equating what is rational with what is rationally required eliminates the category of what is rationally allowed. Irrationality seems to be the more fundental normative category; for although there are conflicting substantive accounts of irrationality, all agree that to say of an action, belief, or desire that it is irrational is to claim that it should always be avoided. Rationality is also a descriptive concept that refers to those intellectual capacities, usually involving the ability to use language, that distinguish persons from plants and most other animals. There is some dispute about whether some non-human animals, e.g., dolphins and chimpanzees, are rational in this sense. Theoretical rationality applies to beliefs. An irrational belief is one that obviously conflicts with what one should know. This characterization of an irrational belief is identical with the psychiatric characterization of a delusion. It is a personrelative concept, because what obviously conflicts with what should be known by one person need not obviously conflict with what should be known by another. On this account, any belief that is not irrational counts as rational. Many positive characterizations of rational beliefs have rationalism, Continental rationality 772    772 been proposed, e.g., (1) beliefs that are either self-evident or derived from self-evident beliefs by a reliable procedure and (2) beliefs that are consistent with the overwhelming majority of one’s beliefs; but all of these positive characterizations have encountered serious objections. Practical rationality applies to actions. For some philosophers it is identical to instrumental rationality. On this view, commonly called instrumentalism, acting rationally simply means acting in a way that is maximally efficient in achieving one’s goals. However, most philosophers realize that achieving one goal may conflict with achieving another, and therefore require that a rational action be one that best achieves one’s goals only when these goals are considered as forming a system. Others have added that all of these goals must be ones that would be chosen given complete knowledge and understanding of what it would be like to achieve these goals. On the latter account of rational action, the system of goals is chosen by all persons for themselves, and apart from consistency there is no external standpoint from which to evaluate rationally any such system. Thus, for a person with a certain system of goals it will be irrational to act morally. Another account of rational action is not at all person-relative. On this account, to act rationally is to act on universalizable principles, so that what is a reason for one person must be a reason for everyone. One point of such an account is to make it rationally required to act morally, thus making all immoral action irrational. However, if to call an action irrational is to claim that everyone would hold that it is always to be avoided, then it is neither irrational to act immorally in order to benefit oneself or one’s friends, nor irrational to act morally even when that goes against one’s system of goals. Only a negative characterization of what is rational as what is not irrational, which makes it rationally permissible to act either morally or in accordance with one’s own system of goals, as long as these goals meet some minimal objective standard, seems likely to be adequate.  EPISTEMOLOGY, ETHICS, PRACTICAL REASONING, THEORETICAL REASON. B.Ge. rationality, epistemic.IRRATIONALITY. rationality, instrumental.RATIONALITY. rationality, practical.RATIONALITY. rationality, theoretical.RATIONALITY. rationalization, (1) an apparent explanation of a person’s action or attitude by appeal to reasons that would justify or exculpate the person for it – if, contrary to fact, those reasons were to explain it; (2) an explanation or interpretation made from a rational perspective. In sense (1), rationalizations are pseudo-explanations, often motivated by a desire to exhibit an item in a favorable light. Such rationalizations sometimes involve self-deception. Depending on one’s view of justification, a rationalization might justify an action – by adducing excellent reasons for its performance – even if the agent, not having acted for those reasons, deserves no credit for so acting. In sense (2) (a sense popularized in philosophy by Donald Davidson), rationalizations of intentional actions are genuine explanations in terms of agents’ reasons. In this sense, we provide a rationalization for – or “rationalize” – Robert’s shopping at Zed’s by identifying the reason(s) for which he does so: e.g., he wants to buy an excellent kitchen knife and believes that Zed’s sells the best cutlery in town. (Also, the reasons for which an agent acts may themselves be said to rationalize the action.) Beliefs, desires, and intentions may be similarly rationalized. In each case, a rationalization exhibits the rationalized item as, to some degree, rational from the standpoint of the person to whom it is attributed.  RATIONALITY, REASONS FOR ACTION, SELF-DECEPTION. A.R.M. rational number.MATHEMATICAL ANALYSIS. rational psychology, the a priori study of the mind. This was a large component of eighteenthand nineteenth-century psychology, and was contrasted by its exponents with empirical psychology, which is rooted in contingent experience. The term ‘rational psychology’ may also designate a mind, or form of mind, having the property of rationality. Current philosophy of mind includes much discussion of rational psychologies, but the notion is apparently biguous. On one hand, there is rationality as intelligibility. This is a minimal coherence, say of desires or inferences, that a mind must possess to be a mind. For instance, Donald Davidson, many functionalists, and some decision theorists believe there are principles of rationality of this sort that constrain the appropriate attribution of beliefs and desires to a person, so that a mind must meet such constraints if it is to have beliefs and desires. On another pole, there is rationality as justification. For someone’s psychology to have this property is for that psychology to be as rationality, epistemic rational psychology 773    773 reason requires it to be, say for that person’s inferences and desires to be supported by proper reasons given their proper weight, and hence to be justified. Rationality as justification is a normative property, which it would seem some minds lack. But despite the apparent differences between these two sorts of rationality, some important work in philosophy of mind implies either that these two senses in fact collapse, or at least that there are intervening and significant senses, so that things at least a lot like normative principles constrain what our psychologies are.  PHILOSOPHY OF MIND. J.R.M. rational reconstruction, also called logical reconstruction, translation of a discourse of a certain conceptual type into a discourse of another conceptual type with the aim of making it possible to say everything (or everything important) that is expressible in the former more clearly (or perspicuously) in the latter. The best-known exple is one in Carnap’s Der Logische Aufbau der Welt. Carnap attempted to translate discourse concerning physical objects (e.g., ‘There is a round brown table’) into discourse concerning immediate objects of sense experience (‘Color patches of such-and-such chromatic characteristics and shape appear in such-and-such a way’). He was motivated by the empiricist doctrine that immediate sense experience is conceptually prior to everything else, including our notion of a physical object. In addition to talk of immediate sense experience, Carnap relied on logic and set theory. Since their use is difficult to reconcile with strict empiricism, his translation would not have fully vindicated empiricism even if it had succeeded.  DEFINITION, LOGICAL POSITIVISM, PHENOMENALISM. T.Y. ratio recta.INDIRECT DISCOURSE. ratio scale.MAGNITUDE. ravens paradox.CONFIRMATION. Rawls, John (b.1921), erican philosopher widely recognized as one of the leading political philosophers of the twentieth century. His A Theory of Justice (1971) is one of the primary texts in political philosophy. Political Liberalism (1993) revises Rawls’s theory to make his conception of justice compatible with liberal pluralism, but leaves the core of his conception intact. Drawing on the liberal and democratic social contract traditions of Locke, Rousseau, and Kant, Rawls argues that the most reasonable principles of justice are those everyone would accept and agree to from a fair position. Since these principles determine the justice of society’s political constitution, economy, and property rules (its “basic structure”), Rawls takes a fair agreement situation to be one where everyone is impartially situated as equals. In this so-called original position everyone is equally situated by a hypothetical “veil of ignorance.” This veil requires individuals to set aside their knowledge of their particular differences, including knowledge of their talents, wealth, social position, religious and philosophical views, and particular conceptions of value. Rawls argues that in the hypothetical original position everyone would reject utilitarianism, perfectionism, and intuitionist views. Instead they would unanimously accept justice as fairness. This conception of justice consists mainly of two principles. The first principle says that certain liberties are basic and are to be equally provided to all: liberty of conscience, freedom of thought, freedom of association, equal political liberties, freedom and integrity of the person, and the liberties that maintain the rule of law. These are basic liberties, because they are necessary to exercise one’s “moral powers.” The two moral powers are, first, the capacity to be rational, to have a rational conception of one’s good; and second, the capacity for a sense of justice, to understand, apply, and act from requirements of justice. These powers constitute essential interests of free and equal moral persons since they enable each person to be a free and responsible agent taking part in social cooperation. Rawls’s second principle of justice, the difference principle, regulates permissible differences in rights, powers, and privileges. It defines the limits of inequalities in wealth, income, powers, and positions that may exist in a just society. It says, first, that social positions are to be open to all to compete for on terms of fair equality of opportunity. Second, inequalities in wealth, income, and social powers and positions are permissible only if they maximally benefit the least advantaged class in society. The difference principle implies that a just economic system distributes income and wealth so as to make the class of least advantaged persons better off than they would be under any alternative economic system. This principle is to be consistent with the “priority” of the first principle, which requires that equal basic liberties cannot be traded for other benefits. The least advanrational reconstruction Rawls, John 774    774 Ray, John reality 775 taged’s right to vote, for exple, cannot be limited for the sake of improving their relative economic position. Instead, a basic liberty can be limited only for the sake of maintaining other basic liberties. Rawls contends that, taking the two principles of justice together, a just society maximizes the worth to the least advantaged of the basic liberties shared by all (Theory, p. 205). The priority of basic liberty implies a liberal egalitarian society in which each person is ensured adequate resources to effectively exercise her basic liberties and become independent and self-governing. A just society is then governed by a liberal-democratic constitution that protects the basic liberties and provides citizens with equally effective rights to participate in electoral processes and influence legislation. Economically a just society incorporates a modified market system that extensively distributes income and wealth – either a “property-owning democracy” with widespread ownership of means of production, or liberal socialism.  CONTRACTARIANISM, JUSTICE, KANT, LIBERALISM, RIGHTS, UTILITARIANISM. S.Fr. Ray, John (1627–1705), English naturalist whose work on the structure and habits of plants and animals led to important conclusions on the methodology of classification and gave a strong impetus to the design argument in natural theology. In an early paper he argued that the determining characteristics of a species are those transmitted by seed, since color, scent, size, etc., vary with climate and nutriment. Parallels from the animal kingdom suggested the correct basis for classification would be structural. But we have no knowledge of real essences. Our experience of nature is of a continuum, and for practical purposes kinships are best identified by a plurality of criteria. His mature theory is set out in Dissertatio Brevis (1696) and Methodus Emendata (1703). The Wisdom of God Manifested in the Works of the Creation (1691 and three revisions) was a best-selling compendium of Ray’s own scientific learning and was imitated and quarried by many later exponents of the design argument. Philosophically, he relied on others, from Cicero to Cudworth, and was superseded by Paley. M.A.St. Razi, al.AL-RazI. reactive attitude.STRAWSON. real assent.NEWMAN. real definition.DEFINITION. real distinction.FUNDENTUM DIVISIONIS. real essence.ESSENTIALISM. realism, direct.DIRECT REALISM. realism, internal.PHILOSOPHY OF SCIENCE. realism, metaphysical.ARMSTRONG, METAPHYSICAL REALISM. realism, modal.LEWIS, DAVID. realism, moral.MORAL REALISM. realism, naive.PERCEPTION. realism, perceptual.PERCEPTION. realism, scientific.

PHILOSOPHY OF SCIENCE; SELLARS, WILFRID. realism, Scotistic.DUNS SCOTUS. realism ante rem.PROPERTY. realism in rebus.PROPERTY. reality, in standard philosophical usage, how things actually are, in contrast with their mere appearance. Appearance has to do with how things seem to a particular perceiver or group of perceivers. Reality is sometimes said to be twoway-independent of appearance. This means that appearance does not determine reality. First, no matter how much agreement there is, based on appearance, about the nature of reality, it is always conceivable that reality differs from appearance. Secondly, appearances are in no way required for reality: reality can outstrip the range of all investigations that we are in a position to make. It may be that reality always brings with it the possibility of appearances, in the counterfactual sense that if there were observers suitably situated, then if conditions were not conducive to error, they would have experiences of such-and-such a kind. But the truth of such a counterfactual seems to be grounded in the facts of reality. Phenomenalism holds, to the contrary, that the facts of reality can be explained by such counterfactuals, but phe   775 reality principle reasons for action 776 nomenalists have failed to produce adequate non-circular analyses. The concept of reality on which it is two-wayindependent of experience is sometimes called objective reality. However, Descartes used this phrase differently, to effect a contrast with formal or actual reality. He held that there must be at least as much reality in the efficient and total cause of an effect as in the effect itself, and applied this principle as follows: “There must be at least as much actual or formal reality in the efficient and total cause of an idea as objective reality in the idea itself.” The objective reality of an idea seems to have to do with its having representational content, while actual or formal reality has to do with existence independent of the mind. Thus the quoted principle relates features of the cause of an idea to the representational content of the idea. Descartes’s main intended applications were to God and material objects.  DESCARTES. G.Fo. reality principle.FREUD. realizability, multiple.FUNCTIONALISM. realization.PHILOSOPHY OF MIND. realization, physical.REDUCTION. real mathematics.HILBERT’S PROGR. real number.MATHEMATICAL ANALYSIS. real proposition.HILBERT’S PROGR. reason.PRACTICAL REASON, THEORETICAL REASON. reason, all-things-considered.REASONS FOR ACTION. reason, evidential.EPISTEMOLOGY. reason, exciting.HUTCHESON. reason, explaining.REASONS FOR ACTION. reason, justifying.HUTCHESON. reason, normative.REASONS FOR ACTION. reason, objective.REASONS FOR ACTION. reason, overriding.REASONS FOR ACTION. reason, practical.KANT, PRACTICAL REASON. reason, principle of sufficient.LEIBNIZ. reason, productive.THEORETICAL REASON. reason, pure.KANT. reason, subjective.REASONS FOR ACTION. reason, theoretical.THEORETICAL REASON. reasoning.CIRCULAR REASONING, KANT, PRACTICAL REASONING. reasoning, circular.CIRCULAR REASONING. reasoning, demonstrative.INFERENCE. reasons externalism.EXTERNALISM. reasons for action, considerations that call for or justify action. They may be subjective or objective. A subjective reason is a consideration an agent understands to support a course of action, whether or not it actually does. An objective reason is one that does support a course of action, regardless of whether the agent realizes it. What are cited as reasons may be matters either of fact or of value, but when facts are cited values are also relevant. Thus the fact that cigarette smoke contains nicotine is a reason for not smoking only because nicotine has undesirable effects. The most important evaluative reasons are normative reasons – i.e., considerations having (e.g.) ethical force. Facts become obligating reasons when, in conjunction with normative considerations, they give rise to an obligation. Thus in view of the obligation to help the needy, the fact that others are hungry is an obligating reason to see they are fed. Reasons for action enter practical thinking as the contents of beliefs, desires, and other mental states. But not all the reasons one has need motivate the corresponding behavior. Thus I may recognize an obligation to pay taxes, yet do so only for fear of punishment. If so, then only my fear is an explaining reason for my action. An overriding reason is one that takes precedence over all others. It is often claimed that moral reasons override all others objectively, and should do so subjectively as well. Finally, one may speak of an all-things-considered reason – one that after due consideration is taken as finally determinative of what shall be done.    776  PRACTICAL REASON, REASONS FOR BELIEF. H.J.M. reasons for belief, roughly, bases of belief. The word ‘belief’ is commonly used to designate both a particular sort of psychological state, a state of believing, and a particular intentional content or proposition believed. Reasons for belief exhibit an analogous duality. A proposition, p, might be said to provide a normative reason to believe a proposition, q, for instance, when p bears some appropriate warranting relation to q. And p might afford a perfectly good reason to believe q, even though no one, as a matter of fact, believes either p or q. In contrast, p is a reason that I have for believing q, if I believe p and p counts as a reason (in the sense above) to believe q. Undoubtedly, I have reason to believe countless propositions that I shall never, as it happens, come to believe. Suppose, however, that p is a reason for which I believe q. In that case, I must believe both p and q, and p must be a reason to believe q – or, at any rate, I must regard it as such. It may be that I must, in addition, believe q at least in part because I believe p. Reasons in these senses are inevitably epistemic; they turn on considerations of evidence, truth-conduciveness, and the like. But not all reasons for belief are of this sort. An explanatory reason, a reason why I believe p, may simply be an explanation for my having or coming to have this belief. Perhaps I believe p because I was brainwashed, or struck on the head, or because I have strong non-epistemic motives for this belief. (I might, of course, hold the belief on the basis of unexceptionable epistemic grounds. When this is so, my believing p may both warrant and explain my believing q.) Reflections of this sort can lead to questions concerning the overall or “all-things-considered” reasonableness of a given belief. Some philosophers (e.g., Clifford) argue that a belief’s reasonableness depends exclusively on its epistemic standing: my believing p is reasonable for me provided it is epistemically reasonable for me; where belief is concerned, epistemic reasons are overriding. Others, siding with Jes, have focused on the role of belief in our psychological economy, arguing that the reasonableness of my holding a given belief can be affected by a variety of non-epistemic considerations. Suppose I have some evidence that p is false, but that I stand to benefit in a significant way from coming to believe p. If that is so, and if the practical advantages of my holding p considerably outweigh the practical disadvantages, it might seem obvious that my holding p is reasonable for me in some all-embracing sense.  PASCAL, REASONS FOR ACTION. J.F.H. reasons internalism.EXTERNALISM. rebirth, wheel of.
BUDDHISM, SSARA. recognition, rule of.JURISPRUDENCE. recollection.PLATO, SURVIVAL. reconstruction.RATIONAL RECONSTRUCTION. reconstruction, logical.RATIONAL RECONSTRUCTION. reconstruction, rational.RATIONAL RECONSTRUCTION. Rectification of Nes.CHENG MING. recurrence, eternal.ETERNAL RETURN. recursion, definition by.DEFINITION. recursion, proof by.PROOF BY RECURSION. recursive function theory, a relatively recent area of mathematics that takes as its point of departure the study of an extremely limited class of arithmetic functions called the recursive functions. Strictly speaking, recursive function theory is a branch of higher arithmetic (number theory, or the theory of natural numbers) whose universe of discourse is restricted to the nonnegative integers: 0, 1, 2, etc. However, the techniques and results of the newer area do not resemble those traditionally associated with number theory. The class of recursive functions is defined in a way that makes evident that every recursive function can be computed or calculated. The hypothesis that every calculable function is recursive, which is known as Church’s thesis, is often taken as a kind of axiom in recursive function theory. This theory has played an important role in modern philosophy of mathematics, especially when epistemological issues are studied. 

CHURCH’S THESIS, COMPUTABILITY, PHILOSOPHY OF MATHEMATICS, PROOF BY RECURSION. J.Cor. redintegration, a psychological process, similar to reasons for belief redintegration 777    777 or involving classical conditioning, in which one feature of a situation causes a person to recall, visualize, or recompose an entire original situation. On opening a pack of cigarettes, a person may visualize the entire process, including striking the match, lighting the cigarette, and puffing. Redintegration is used as a technique in behavior therapy, e.g. when someone trying to refrain from smoking is exposed to unpleasant odors and vivid pictures of lungs caked with cancer, and then permitted to smoke. If the unpleasantness of the odors and visualization outweighs the reinforcement of smoking, the person may resist smoking. Philosophically, redintegration is of interest for two reasons. First, the process may be critical in prudence. By bringing long-range consequences of behavior into focus in present deliberation, redintegration may help to protect long-range interests. Second, redintegration offers a role for visual images in producing behavior. Images figure in paradigmatic cases of redintegration. In recollecting pictures of cancerous lungs, the person may refrain from smoking. 
COGNITIVE PSYCHOTHERAPY, CONDITIONING. G.A.G. reducibility, axiom of.TYPE THEORY. reduct, Craig.
CRAIG’S INTERPOLATION THEOREM. reductio ad absurdum. (1) The principles (A / - A) / -A and (-A / A) / A. (2) The argument forms ‘If A then B and not-B; therefore, not-A’ and ‘If not-A then B and not-B; therefore, A’ and arguments of these forms. Reasoning via such arguments is known as the method of indirect proof. (3) The rules of inference that permit (i) inferring not-A having derived a contradiction from A and (ii) inferring A having derived a contradiction from not-A. Both rules hold in classical logic and come to the se thing in any logic with the law of double negation. In intuitionist logic, however, (i) holds but (ii) does not. 
DOUBLE NEGATION, MATHEMATICAL INTUITIONISM. G.F.S. reduction, the replacement of one expression by a second expression that differs from the first in prima facie reference. So-called reductions have been meant in the sense of uniformly applicable explicit definitions, contextual definitions, or replacements suitable only in a limited range of contexts. Thus, authors have spoken of reductive conceptual analyses, especially in the early days of analytic philosophy. In particular, in the sensedatum theory (talk of) physical objects was supposed to be reduced to (talk of) sense-data by explicit definitions or other forms of conceptual analysis. Logical positivists talked of the reduction of theoretical vocabulary to an observational vocabulary, first by explicit definitions, and later by other devices, such as Carnap’s reduction sentences. These appealed to a test condition predicate, T (e.g., ‘is placed in water’), and a display predicate, D (e.g., ‘dissolves’), to introduce a dispositional or other “non-observational” term, S (e.g., ‘is water-soluble’): (Ex) [Tx / (Dx / Sx]), with ‘/’ representing the material conditional. Negative reduction sentences for non-occurrence of S took the form (Ex) [NTx / (NDx / - Sx)]. For coinciding predicate pairs T and TD and -D and ND Carnap referred to bilateral reduction sentences: (Ex) [Tx / (Dx S Sx)]. Like so many other attempted reductions, reduction sentences did not achieve replacement of the “reduced” term, S, since they do not fix application of S when the test condition, T, fails to apply. In the philosophy of mathematics, logicism claimed that all of mathematics could be reduced to logic, i.e., all mathematical terms could be defined with the vocabulary of logic and all theorems of mathematics could be derived from the laws of logic supplemented by these definitions. Russell’s Principia Mathematica carried out much of such a progr with a reductive base of something much more like what we now call set theory rather than logic, strictly conceived. Many now accept the reducibility of mathematics to set theory, but only in a sense in which reductions are not unique. For exple, the natural numbers can equally well be modeled as classes of equinumerous sets or as von Neumann ordinals. This non-uniqueness creates serious difficulties, with suggestions that set-theoretic reductions can throw light on what numbers and other mathematical objects “really are.” In contrast, we take scientific theories to tell us, unequivocally, that water is H20 and that temperature is mean translational kinetic energy. Accounts of theory reduction in science attempt to analyze the circumstance in which a “reducing theory” appears to tell us the composition of objects or properties described by a “reduced theory.” The simplest accounts follow the general pattern of reduction: one provides “identity statements” or “bridge laws,” with at least the form of explicit definitions, for all terms in the reducibility, axiom of reduction 778    778 reduced theory not already appearing in the reducing theory; and then one argues that the reduced theory can be deduced from the reducing theory augmented by the definitions. For exple, the laws of thermodynics are said to be deducible from those of statistical mechanics, together with statements such as ‘temperature is mean translational kinetic energy’ and ‘pressure is mean momentum transfer’. How should the identity statements or bridge laws be understood? It takes empirical investigation to confirm statements such as that temperature is mean translational kinetic energy. Consequently, some have argued, such statements at best constitute contingent correlations rather than strict identities. On the other hand, if the relevant terms and their extensions are not mediated by analytic definitions, the identity statements may be analogized to identities involving two nes, such as ‘Cicero is Tully’, where it takes empirical investigation to establish that the two nes happen to have the se referent. One can generalize the idea of theory reduction in a variety of ways. One may require the bridge laws to suffice for the deduction of the reduced from the reducing theory without requiring that the bridge laws take the form of explicit identity statements or biconditional correlations. Some authors have also focused on the fact that in practice a reducing theory T2 corrects or refines the reduced theory T1, so that it is really only a correction or refinement, T1*, that is deducible from T2 and the bridge laws. Some have consequently applied the term ‘reduction’ to any pair of theories where the second corrects and extends the first in ways that explain both why the first theory was as accurate as it was and why it made the errors that it did. In this extended sense, relativity is said to reduce Newtonian mechanics. Do the social sciences, especially psychology, in principle reduce to physics? This prospect would support the so-called identity theory (of mind and body), in particular resolving important problems in the philosophy of mind, such as the mind–body problem and the problem of other minds. Many (though by no means all) are now skeptical about the prospects for identifying mental properties, and the properties of other special sciences, with complex physical properties. To illustrate with an exple from economics (adapted from Fodor), in the right circumstances just about any physical object could count as a piece of money. Thus prospects seem dim for finding a closed and finite statement of the form ‘being a piece of money is . . .’, with only predicates from physics appearing on the right (though some would want to admit infinite definitions in providing reductions). Similarly, one suspects that attributes, such as pain, are at best functional properties with indefinitely many possible physical realizations. Believing that reductions by finitely stable definitions are thus out of reach, many authors have tried to express the view that mental properties are still somehow physical by saying that they nonetheless supervene on the physical properties of the organisms that have them. In fact, these se difficulties that affect mental properties affect the paradigm case of temperature, and probably all putative exples of theoretical reduction. Temperature is mean translational temperature only in gases, and only idealized ones at that. In other substances, quite different physical mechanisms realize temperature. Temperature is more accurately described as a functional property, having to do with the mechanism of heat transfer between bodies, where, in principle, the required mechanism could be physically realized in indefinitely many ways. In most and quite possibly all cases of putative theory reduction by strict identities, we have instead a relation of physical realization, constitution, or instantiation, nicely illustrated by the property of being a calculator (exple taken from Cummins). The property of being a calculator can be physically realized by an abacus, by devices with gears and levers, by ones with vacuum tubes or silicon chips, and, in the right circumstances, by indefinitely many other physical arrangements. Perhaps many who have used ‘reduction’, particularly in the sciences, have intended the term in this sense of physical realization rather than one of strict identity. Let us restrict attention to properties that reduce in the sense of having a physical realization, as in the cases of being a calculator, having a certain temperature, and being a piece of money. Whether or not an object counts as having properties such as these will depend, not only on the physical properties of that object, but on various circumstances of the context. Intensions of relevant language users constitute a plausible candidate for relevant circumstances. In at least many cases, dependence on context arises because the property constitutes a functional property, where the relevant functional system (calculational practices, heat transfer, monetary reduction reduction 779    779 systems) are much larger than the propertybearing object in question. These exples raise the question of whether many and perhaps all mental properties depend ineliminably on relations to things outside the organisms that have the mental properties.  EXPLANATION, PHILOSOPHY OF SCIENCE, SUPERVENIENCE, UNITY OF SCIENCE. P.Te. reduction, phenomenological.HUSSERL. reduction base.REDUCTION. reductionism.

REDUCTION. reductionism, explanatory.METHODOLOGICAL HOLISM. reduction sentence, for a given predicate Q3 of space-time points in a first-order language, any universal sentence S1 of the form: (x) [Q1x / (Q2x / Q3 x)], provided that the predicates Q1 and Q2 are consistently applicable to the se space-time points. If S1 has the form given above and S2 is of the form (x) [Q4x / (Q5 / - Q6)] and either S1 is a reduction sentence for Q3 or S2 is a reduction sentence for -Q3, the pair {S1, S2} is a reduction pair for Q3. If Q1 % Q4 and Q2 % - Q5, the conjunction of S1 and S2 is equivalent to a bilateral reduction sentence for Q3 of the form (x) [Q1 / (Q3 S Q2)]. These concepts were introduced by Carnap in “Testability and Meaning,” Philosophy of Science (1936–37), to modify the verifiability criterion of meaning to a confirmability condition where terms can be introduced into meaningful scientific discourse by chains of reduction pairs rather than by definitions. The incentive for this modification seems to have been to accommodate the use of disposition predicates in scientific discourse. Carnap proposed explicating a disposition predicate Q3 by bilateral reduction sentences for Q3. An important but controversial feature of Carnap’s approach is that it avoids appeal to nonextensional conditionals in explicating disposition predicates. 

referentially transparent. An occurrence of a singular term t in a sentence ‘. . . t . . .’ is referentially transparent (or purely referential) if and only if the truth-value of ‘. . . t . . .’ depends on whether the referent of t satisfies the open sentence ‘. . . x . . .’; the satisfaction of ‘. . . x . . .’ by the referent of t would guarantee the truth of ‘. . . t . . .’, and failure of this individual to satisfy ‘. . . x . . .’ would guarantee that ‘. . . t . . .’ was not true. ‘Boston is a city’ is true if and only if the referent of ‘Boston’ satisfies the open sentence ‘x is a city’, so the occurrence of ‘Boston’ is referentially transparent. But in ‘The expression “Boston” has six letters’, the length of the word within the quotes, not the features of the city Boston, determines the truth-value of the sentence, so the occurrence is not referentially transparent. According to a Fregean theory of meaning, the reference of any complex expression (that is a meaningful unit) is a function of the referents of its parts. Within this context, an occurrence of a referential term t in a meaningful expression ‘. . . t . . .’ is referentially transparent (or purely referential) if and only if t contributes its referent to the reference of ‘. . . t . . .’. The expression ‘the area around Boston’ refers to the particular area it does because of the referent of ‘Boston’ (and the reference or extension of the function expressed by ‘the area around x’). An occurrence of a referential term t in a meaningful expression ‘. . . t . . .’ is referentially opaque if and only if it is not referentially transparent. Thus, if t has a referentially opaque occurrence in a sentence ‘. . . t . . .’, then the truth-value of ‘. . . t . . .’ depends on something reduction, phenomenological referentially transparent 780    780 other than whether the referent of t satisfies ‘. . . x . . .’. Although these definitions apply to occurrences of referential terms, the terms ‘referentially opaque’ and ‘referentially transparent’ are used primarily to classify linguistic contexts for terms as referentially opaque contexts. If t occurs purely referentially in S but not in C(S), then C ( ) is a referentially opaque context. But we must qualify this: C( ) is a referentially opaque context for that occurrence of t in S. It would not follow (without further argument) that C( ) is a referentially opaque context for other occurrences of terms in sentences that could be placed into C( ). Contexts of quotation, propositional attitude, and modality have been widely noted for their potential to produce referential opacity. Consider: (1) John believes that the number of planets is less than eight. (2) John believes that nine is less than eight. If (1) is true but (2) is not, then either ‘the number of planets’ or ‘nine’ has an occurrence that is not purely referential, because the sentences would differ in truth-value even though the expressions are co-referential. But within the sentences: (3) The number of planets is less than eight. (4) Nine is less than eight. the expressions appear to have purely referential occurrence. In (3) and (4), the truth-value of the sentence as a whole depends on whether the referent of ‘The number of planets’ and ‘Nine’ satisfies ‘x is less than eight’. Because the occurrences in (3) and (4) are purely referential but those in (1) and (2) are not, the context ‘John believes that ( )’ is a referentially opaque context for the relevant occurrence of at least one of the two singular terms. Some argue that the occurrence of ‘nine’ in (2) is purely referential because the truth-value of the sentence as a whole depends on whether the referent, nine, satisfies the open sentence ‘John believes that x is less than eight’. Saying so requires that we make sense of the concept of satisfaction for such sentences (belief sentences and others) and that we show that the concept of satisfaction applies in this way in the case at hand (sentence (2)). There is controversy about whether these things can be done. In (1), on the other hand, the truth-value is not determined by whether nine (the referent of ‘the number of planets’) satisfies the open sentence, so that occurrence is not purely referential. Modal contexts raise similar questions. (5) Necessarily, nine is odd. (6) Necessarily, the number of planets is odd. If (5) is true but (6) is not, then at least one of the expressions does not have a purely referential occurrence, even though both appear to be purely referential in the non-modal sentence that appears in the context ‘Necessarily, ———’. Thus the context is referentially opaque for the occurrence of at least one of these terms. On an alternative approach, genuinely singular terms always occur referentially, and ‘the number of planets’ is not a genuinely singular term. Russell’s theory of definite descriptions, e.g., provides an alternative semantic analysis for sentences involving definite descriptions. This would enable us to say that even simple sentences like (3) and (4) differ considerably in syntactic and semantic structure, so that the similarity that suggests the problem, the seemingly similar occurrences of co-referential terms, is merely apparent.  DE DICTO, QUANTIFYING IN, SUBSTITUTIVITY SALVA VERITATE. T.M. referential occurrence.QUANTIFYING IN. referential opacity.
REFERENTIALLY TRANSPARENT. referential quantification.QUANTIFICATION. referential theory of meaning.MEANING, PHILOSOPHY OF LANGUAGE. reflection principles, two varieties of internal statements related to correctness in formal axiomatic systems. (1) Proof-theoretic reflection principles are formulated for effectively presented systems S that contain a modicum of elementary number theory sufficient to arithmetize their own syntactic notions, as done by Kurt Gödel in his 1931 work on incompleteness. Let ProvS (x) express that x is the Gödel number of a statement provable in S, and let nA be the number of A, for any statement A of S. The weakest reflection principle considered for S is the collection Rfn(S) of all statements of the form ProvS (nA) P A, which express that if A is provable from S then A (is true). The proposition ConS expressing the consistency of S is a consequence of Rfn(S) (obtained by taking A to be a disprovable statement). Thus, by Gödel’s second referential occurrence reflection principles 781    781 incompleteness theorem, Rfn(S) is stronger than S if S is consistent. Reflection principles are used in the construction of ordinal logics as a systematic means of overcoming incompleteness. (2) Set-theoretic reflection principles are formulated for systems S of axiomatic set theory, such as ZF (Zermelo-Fraenkel). In the simplest form they express that any property A in the language of S that holds of the universe of “all” sets, already holds of a portion of that universe coextensive with some set x. This takes the form A P (Dx)A(x) where in A(x) all quantifiers of A are relativized to x. In contrast to proof-theoretic reflection principles, these may be established as theorems of ZF. 
GÖDEL’S INCOMPLETENESS THEOREMS, ORDINAL LOGIC, SET THEORY. S.Fe. reflective equilibrium, as usually conceived, a coherence method for justifying evaluative principles and theories. The method was first described by Goodman, who proposed it be used to justify deductive and inductive principles. According to Goodman (Fact, Fiction and Forecast, 1965), a particular deductive inference is justified by its conforming with deductive principles, but these principles are justified in their turn by conforming with accepted deductive practice. The idea, then, is that justified inferences and principles are those that emerge from a process of mutual adjustment, with principles being revised when they sanction inferences we cannot bring ourselves to accept, and particular inferences being rejected when they conflict with rules we are unwilling to revise. Thus, neither principles nor particular inferences are epistemically privileged. At least in principle, everything is liable to revision. Rawls further articulated the method of reflective equilibrium and applied it in ethics. According to Rawls (A Theory of Justice, 1971), inquiry begins with considered moral judgments, i.e., judgments about which we are confident and which are free from common sources of error, e.g., ignorance of facts, insufficient reflection, or emotional agitation. According to narrow reflective equilibrium, ethical principles are justified by bringing them into coherence with our considered moral judgments through a process of mutual adjustment. Rawls, however, pursues a wide reflective equilibrium. Wide equilibrium is attained by proceeding to consider alternatives to the moral conception accepted in narrow equilibrium, along with philosophical arguments that might decide ong these conceptions. The principles and considered judgments accepted in narrow equilibrium are then adjusted as seems appropriate. One way to conceive of wide reflective equilibrium is as an effort to construct a coherent system of belief by a process of mutual adjustment to considered moral judgments and moral principles (as in narrow equilibrium) along with the background philosophical, social scientific, and any other relevant beliefs that might figure in the arguments for and against alternative moral conceptions, e.g., metaphysical views regarding the nature of persons. As in Goodman’s original proposal, none of the judgments, principles, or theories involved is privileged: all are open to revision.  COHERENTISM, RAWLS. M.R.D. reflexive.RELATION. reformed epistemology.EXISTENTIALISM, PLANTINGA. regional supervenience.SUPERVENIENCE. regress.INFINITE REGRESS ARGUMENT, VICIOUS REGRESS. regress argument.

EPISTEMIC REGRESS ARGUMENT, INFINITE REGRESS ARGUMENT. regression analysis, a part of statistical theory concerned with the analysis of data with the aim of inferring a linear functional relationship between assumed independent (“regressor”) variables and a dependent (“response”) variable. A typical exple involves the dependence of crop yield on the application of fertilizer. For the most part, higher ounts of fertilizer are associated with higher yields. But typically, if crop yield is plotted vertically on a graph with the horizontal axis representing ount of fertilizer applied, the resulting points will not fall in a straight line. This can be due either to random (“stochastic”) fluctuations (involving measurement errors, irreproducible conditions, or physical indeterminism) or to failure to take into account other relevant independent variables (such as ount of rainfall). In any case, from any resulting “scatter diagr,” it is possible mathematically to infer a “best-fitting” line. One method is, roughly, to find the line that minimizes the average absolute distance between a line and the data points collected. More commonly, the average of the squares of these distances is minimized (this is the “least squares” method). If more than one independent variable is suspected, the theory of multiple regression, which takes into account mulreflective equilibrium regression analysis 782    782 tiple regressors, can be applied: this can help to minimize an “error term” involved in regression. Computers must be used for the complex computations typically encountered. Care must be taken in connection with the possibility that a lawlike, causal dependence is not really linear (even approximately) over all ranges of the regressor variables (e.g., in certain ranges of ounts of application, more fertilizer is good for a plant, but too much is bad).  CURVEFITTING PROBLEM. E.Ee. regressor variable.REGRESSION ANALYSIS. regularity theory of causation.CAUSATION. regulative principle.KANT. Reichenbach, Hans (1891–1953), German philosopher of science and a major leader of the movement known as logical empiricism. Born in Hburg, he studied engineering for a brief time, then turned to mathematics, philosophy, and physics, which he pursued at the universities of Berlin, Munich, and Göttingen. He took his doctorate in philosophy at Erlangen (1915) with a dissertation on mathematical and philosophical aspects of probability, and a degree in mathematics and physics by state exination at Göttingen (1916). In 1933, with Hitler’s rise to power, he fled to Istanbul, then to the University of California at Los Angeles, where he remained until his death. Prior to his departure from Germany he was professor of philosophy of science at the University of Berlin, leader of the Berlin Group of logical empiricists, and a close associate of Einstein. With Carnap he founded Erkenntnis, the major journal of scientific philosophy before World War II. After a short period early in his career as a follower of Kant, Reichenbach rejected the synthetic a priori, chiefly because of considerations arising out of Einstein’s general theory of relativity. He remained thereafter chpion of empiricism, adhering to a probabilistic version of the verifiability theory of cognitive meaning. Never, however, did he embrace the logical positivism of the Vienna Circle; indeed, he explicitly described his principal epistemological work, Experience and Prediction (1938), as his refutation of logical positivism. In particular, his logical empiricism consisted in rejecting phenomenalism in favor of physicalism; he rejected phenomenalism both in embracing scientific realism and in insisting on a thoroughgoing probabilistic analysis of scientific meaning and scientific knowledge. His main works span a wide range. In Probability and Induction he advocated the frequency interpretation of probability and offered a pragmatic justification of induction. In his philosophy of space and time he defended conventionality of geometry and of simultaneity. In foundations of quantum mechanics he adopted a three-valued logic to deal with causal anomalies. He wrote major works on epistemology, logic, laws of nature, counterfactuals, and modalities. At the time of his death he had almost completed The Direction of Time, which was published posthumously (1956). 
Reid, Thomas (1710–96), Scottish philosopher, a defender of common sense and critic of the theory of impressions and ideas articulated by Hume. Reid was born exactly one year before Hume, in Strachan, Scotland. A bright lad, he went to Marischal College in Aberdeen at the age of twelve, studying there with Thomas Blackwell and George Turnbull. The latter apparently had great influence on Reid. Turnbull contended that knowledge of the facts of sense and introspection may not be overturned by reasoning and that volition is the only active power known from experience. Turnbull defended common sense under the cloak of Berkeley. Reid threw off that cloak with considerable panache, but he took over the defense of common sense from Turnbull. Reid moved to a position of regent and lecturer at King’s College in Aberdeen in 1751. There he formed, with John Gregory, the Aberdeen Philosophical Society, which met fortnightly, often to discuss Hume. Reid published his Inquiry into the Human Mind on the Principles of Common Sense in 1764, and, in the se year, succeeded Ad Smith in the chair of moral philosophy at Old College in Glasgow. After 1780 he no longer lectured but devoted himself to his later works, Essays on the Intellectual Powers (1785) and Essays on the Active Powers (1788). He was highly influential in Scotland and on the Continent in the eighteenth century and, from time to time, in England and the United States thereafter. Reid thought that one of his major contributions was the refutation of Hume’s theory of impressions and ideas. Reid probably was convinced in his teens of the truth of Berkeley’s doctrine that what the mind is immediately aware of is always some idea, but his later study of Hume’s Treatise convinced him that, contrary to regressor variable Reid, Thomas 783    783 Berkeley, it was impossible to reconcile this doctrine, the theory of ideas, with common sense. Hume had rigorously developed the theory, Reid said, and drew forth the conclusions. These, Reid averred, were absurd. They included the denial of our knowledge of body and mind, and, even more strikingly, of our conceptions of these things. The reason Reid thought that Hume’s theory of ideas led to these conclusions was that for Hume, ideas were faded impressions of sense, hence, sensations. No sensation is like a quality of a material thing, let alone like the object that has the quality. Consider movement. Movement is a quality of an object wherein the object changes from one place to another, but the visual sensation that arises in us is not the change of place of an object, it is an activity of mind. No two things could, in fact, be more unalike. If what is before the mind is always some sensation, whether vivacious or faded, we should never obtain the conception of something other than a sensation. Hence, we could never even conceive of material objects and their qualities. Even worse, we could not conceive of our own minds, for they are not sensations either, and only sensations are immediately before the mind, according to the theory of ideas. Finally, and even more absurdly, we could not conceive of past sensations or anything that does not now exist. For all that is immediately before the mind is sensations that exist presently. Thus, we could not even conceive of qualities, bodies, minds, and things that do not now exist. But this is absurd, since it is obvious that we do think of all these things and even of things that have never existed. The solution, Reid suggested, is to abandon the theory of ideas and seek a better one. Many have thought Reid was unfair to Hume and misinterpreted him. Reid’s Inquiry was presented to Hume by Dr. Blair in manuscript form, however, and in reply Hume does not at all suggest that he has been misinterpreted or handled unfairly. Whatever the merits of Reid’s criticism of Hume, it was the study of the consequences of Hume’s philosophy that accounts for Reid’s central doctrine of the human faculties and their first principles. Faculties are innate powers, ong them the powers of conception and conviction. Reid’s strategy in reply to Hume is to build a nativist theory of conception on the failure of Hume’s theory of ideas. Where the theory of ideas, the doctrine of impressions and ideas, fails to account for our conception of something, of qualities, bodies, minds, past things, nonexistent things, Reid hypothesizes that our conceptions originate from a faculty of the mind, i.e., from an innate power of conception. This line of argument reflects Reid’s respect for Hume, whom he calls the greatest metaphysician of the age, because Hume drew forth the consequences of a theory of conception, which we might call associationism, according to which all our conceptions result from associating sensations. Where the associationism of Hume failed, Reid hypothesized that conceptions arise from innate powers of conception that manifest themselves in accordance with original first principles of the mind. The resulting hypotheses were not treated as a priori necessities but as empirical hypotheses. Reid notes, therefore, that there are marks by which we can discern the operation of an innate first principle, which include the early appearance of the operation, its universality in mankind, and its irresistibility. The operations of the mind that yield our conceptions of qualities, bodies, and minds all bear these marks, Reid contends, and that warrants the conclusion that they manifest first principles. It should be noted that Reid conjectured that nature would be frugal in the implantation of innate powers, supplying us with no more than necessary to produce the conceptions we manifest. Reid is, consequently, a parsimonious empiricist in the development of his nativist psychology. Reid developed his theory of perception in great detail and his development led, surprisingly, to his articulation of non-Euclidean geometry. Indeed, while Kant was erroneously postulating the a priori necessity of Euclidean space, Reid was developing non-Euclidean geometry to account for the empirical features of visual space. Reid’s theory of perception is an exple of his empiricism. In the Inquiry, he says that sensations, which are operations of the mind, and impressions on the organs of sense, which are material, produce our conceptions of primary and secondary qualities. Sensations produce our original conceptions of secondary qualities as the causes of those sensations. They are signs that suggest the existence of the qualities. A sensation of smell suggests the existence of a quality in the object that causes the sensation, though the character of the cause is otherwise unknown. Thus, our original conception of secondary qualities is a relative conception of some unknown cause of a sensation. Our conception of primary qualities differs not, as Locke suggested, because of some resemblance between the sensation and the quality (for, as Berkeley noted, there is no resemblance between a sensation and quality), but because our original conReid, Thomas Reid, Thomas 784    784 ceptions of primary qualities are clear and distinct. The sensation is a sign that suggests a definite conception of the primary quality, e.g. a definite conception of the movement of the object, rather than a mere conception of something, we know not what, that gives rise to the sensation. These conceptions of qualities signified by sensations result from the operations of principles of our natural constitution. These signs, which suggest the conception of qualities, also suggest a conception of some object that has them. This conception of the object is also relative, in that it is simply a conception of a subject of the qualities. In the case of physical qualities, the conception of the object is a conception of a material object. Though sensations, which are activities of the mind, suggest the existence of qualities, they are not the only signs of sense perception. Some impressions on the organs of sense, the latter being material, also give rise to conceptions of qualities, especially to our conception of visual figure, the seen shape of the object. But Reid can discern no sensation of shape. There are, of course, sensations of color, but he is convinced from the experience of those who have cataracts and see color but not shape that the sensations of color are insufficient to suggest our conceptions of visual figure. His detailed account of vision and especially of the seeing of visual figure leads him to one of his most brilliant moments. He asks what sort of data do we receive upon the eye and answers that the data must be received at the round surface of the eyeball and processed within. Thus, visual space is a projection in three dimensions of the information received on the round surface of the eye, and the geometry of this space is a non-Euclidean geometry of curved space. Reid goes on to derive the properties of the space quite correctly, e.g., in concluding that the angles of a triangle will sum to a figure greater than 180 degrees and thereby violate the parallels postulate. Thus Reid discovered that a non-Euclidean geometry was satisfiable and, indeed, insisted that it accurately described the space of vision (not, however, the space of touch, which he thought was Euclidean). From the standpoint of his theory of perceptual signs, the exple of visual figure helps to clarify his doctrine of the signs of perception. We do not perceive signs and infer what they signify. This inference, Reid was convinced by Hume, would lack the support of reasoning, and Reid concluded that reasoning was, in this case, superfluous. The information received on the surface of the eye produces our conceptions of visual figure immediately. Indeed, these signs pass unnoticed as they give rise to the conception of visual figure in the mind. The relation of sensory signs to the external things they signify originally is effected by a first principle of the mind without the use of reason. The first principles that yield our conceptions of qualities and objects yield convictions of the existence of these things at the se time. A question naturally arises as to the evidence of these convictions. First principles yield the convictions along with the conceptions, but do we have evidence of the existence of the qualities and objects we are convinced exist? We have the evidence of our senses, of our natural faculties, and that is all the evidence possible here. Reid’s point is that the convictions in questions resulting from the original principles of our faculties are immediately justified. Our faculties are, however, all fallible, so the justification that our original convictions possess may be refuted. We can now better understand Reid’s reply to Hume. To account for our convictions of the existence of body, we must abandon Hume’s theory of ideas, which cannot supply even the conception of body. We must discover both the original first principles that yield the conception and conviction of objects and their qualities, and first principles to account for our convictions of the past, of other thinking beings, and of morals. Just as there are first principles of perception that yield convictions of the existence of presently existing objects, so there are first principles of memory that yield the convictions of the existence of past things, principles of testimony that yield the convictions of the thoughts of others, and principles of morals that yield convictions of our obligations. Reid’s defense of a moral faculty alongside the faculties of perception and memory is striking. The moral faculty yields conceptions of the justice and injustice of an action in response to our conception of that action. Reid shrewdly notes that different people may conceive of the se action in different ways. I may conceive of giving some money as an action of gratitude, while you may consider it squandering money. How we conceive of an action depends on our moral education, but the response of our moral faculty to an action conceived in a specific way is original and the se in all who have the faculty. Hence differences in moral judgment are due, not to principles of the moral faculty, but to differences in how we conceive of our actions. This doctrine of a moral faculty again provides a counterpoint to the moral philosophy of Hume, for, according Reid, Thomas Reid, Thomas 785    785 to Reid, judgments of justice and injustice pertaining to all matters, including promises, contracts, and property, arise from our natural faculties and do not depend on anything artificial. Reid’s strategy for defending common sense is clear enough. He thinks that Hume showed that we cannot arrive at our convictions of external objects, of past events, of the thoughts of others, of morals, or, for that matter, of our own minds, from reasoning about impressions and ideas. Since those convictions are a fact, philosophy must account for them in the only way that remains, by the hypothesis of innate faculties that yield them. But do we have any evidence for these convictions? Evidence, Reid says, is the ground of belief, and our evidence is that of our faculties. Might our faculties deceive us? Reid answers that it is a first principle of our faculties that they are not fallacious. Why should we assume that our faculties are not fallacious? First, the belief is irresistible. However we wage war with first principles, the principles of common sense, they prevail in daily life. There we trust our faculties whether we choose to or not. Second, all philosophy depends on the assumption that our faculties are not fallacious. Here Reid employs an ad hominem argument against Hume, but one with philosophical force. Reid says that, in response to a total skeptic who decides to trust none of his faculties, he puts his hand over his mouth in silence. But Hume trusted reason and consciousness, and therefore is guilty of pragmatic inconsistency in calling the other faculties into doubt. They come from the se shop, Reid says, and he who calls one into doubt has no right to trust the others. All our faculties are fallible, and, therefore, we must, to avoid arbitrary favoritism, trust them all at the outset or trust none. The first principles of our faculties are trustworthy. They not only account for our convictions, but are the ground and evidence of those convictions. This nativism is the original engine of justification. Reid’s theory of original perceptions is supplemented by a theory of acquired perceptions, those which incorporate the effects of habit and association, such as the perception of a passing coach. He distinguishes acquired perceptions from effects of reasoning. The most important way our original perceptions must be supplemented is by general conceptions. These result from a process whereby our attention is directed to some individual quality, e.g., the whiteness of a piece of paper, which he calls abstraction, and a further process of generalizing from the individual quality to the general conception of the universal whiteness shared by many individuals. Reid is a sophisticated nominalist; he says that the only things that exist are individual, but he includes individual qualities as well as individual objects. The reason is that individual qualities obviously exist and are needed as the basis of generalization. To generalize from an individual we must have some conception of what it is like, and this conception cannot be general, on pain of circularity or regress, but must be a conception of an individual quality, e.g., the whiteness of this paper, which it uniquely possesses. Universals, though predicated of objects to articulate our knowledge, do not exist. We can think of universals, just as we can think of centaurs, but though they are the objects of thought and predicated of individuals that exist, they do not themselves exist. Generalization is not driven by ontology but by utility. It is we and not nature that sort things into kinds in ways that are useful to us. This leads to a division-of-labor theory of meaning because general conceptions are the meanings of general words. Thus, in those domains in which there are experts, in science or the law, we defer to the experts concerning the general conceptions that are the most useful in the area in question. Reid’s theory of the intellectual powers, summarized briefly above, is supplemented by his theory of our active powers, those that lead to actions. His theory of the active powers includes a theory of the principles of actions. These include animal principles that operate without understanding, but the most salient and philosophically important part of Reid’s theory of the active powers is his theory of the rational principles of action, which involve understanding and the will. These rational principles are those in which we have a conception of the action to be performed and will its performance. Action thus involves an act of will or volition, but volitions as Reid conceived of them are not the esoteric inventions of philosophy but, instead, the commonplace activities of deciding and resolving to act. Reid is a libertarian and maintains that our liberty or freedom refutes the principle of necessity or determinism. Freedom requires the power to will the action and also the power not to will it. The principle of necessity tells us that our action was necessitated and, therefore, that it was not in our power not to have willed as we did. It is not sufficient for freedom, as Hume suggested, that we act as we will. We must also have the Reid, Thomas Reid, Thomas 786    786 power to determine what we will. The reason is that willing is the means to the end of action, and he who lacks power over the means lacks power over the end. This doctrine of the active power over the determinations of our will is founded on the central principle of Reid’s theory of the active powers, the principle of agent causation. The doctrine of acts of the will or volitions does not lead to a regress, as critics allege, because my act of will is an exercise of the most basic kind of causality, the efficient causality of an agent. I  the efficient cause of my acts of will. My act of will need not be caused by an antecedent act of will because my act of will is the result of my exercise of my causal power. This fact also refutes an objection to the doctrine of liberty – that if my action is not necessitated, then it is fortuitous. My free actions are caused, not fortuitous, though they are not necessitated, because they are caused by me. How, one might inquire, do we know that we are free? The doubt that we are free is like other skeptical doubts, and receives a similar reply, nely, that the conviction of our freedom is a natural and original conviction arising from our faculties. It occurs prior to instruction and it is irresistible in practical life. Any person with two identical coins usable to pay for some item must be convinced that she can pay with the one or the other; and, unlike the ass of Buridan, she readily exercises her power to will the one or the other. The conviction of freedom is an original one, not the invention of philosophy, and it arises from the first principles of our natural faculties, which are trustworthy and not fallacious. The first principles of our faculties hang together like links in a chain, and one must either raise up the whole or the links prove useless. Together, they are the foundation of true philosophy, science, and practical life, and without them we shall lead ourselves into the coalpit of skepticism and despair. 
Reimarus, Hermann Suel (1694–1768), German philosopher, born in Hburg and educated in philosophy and theology at Jena. For most of his life he taught Oriental languages at a high school in Hburg. The most important writings he published were a treatise on natural religion, Abhandlungen von den vornehmsten Wahrheiten der natürlichen Religion (1754); a textbook on logic, Vernunftlehre (1756); and an interesting work on instincts in animals, Allgemeine Betrachtungen über die Triebe der Tiere (1760). However, he is today best known for his Apologie oder Schutzschrift für die vernünftigen Verehrer Gottes (“Apology for or Defense of the Rational Worshipers of God”), posthumously published in 1774–77. In it, Reimarus reversed his stance on natural theology and openly advocated a deism in the British tradition. The controversy created by its publication had a profound impact on the further development of German theology. Though Reimarus always remained basically a follower of Wolff, he was often quite critical of Wolffian rationalism in his discussion of logic and psychology.  WOLFF. M.K. Reinhold, Karl Leonhard (1743–1819), Austrian philosopher who was both a popularizer and a critic of Kant. He was the first occupant of the chair of critical philosophy established at the University of Jena in 1787. His Briefe über die Kantische Philosophie (1786/87) helped to popularize Kantianism. Reinhold also proclaimed the need for a more “scientific” presentation of the critical philosophy, in the form of a rigorously deductive system in which everything is derivable from a single first principle (“the principle of consciousness”). He tried to satisfy this need with Elementarphilosophie (“Elementary Philosophy” or “Philosophy of the Elements”), expounded in his Versuch einer neuen Theorie des menschlichen Vorstellungsvermögens (“Attempt at a New Theory of the Human Faculty of Representation,” 1789), Beyträge zur Berichtigung bisheriger Missverständnisse der Philosophen I (“Contributions to the Correction of the Prevailing Misunderstandings of Philosophers,” 1790), and Ueber das Fundent des philosophischen Wissens (“On the Foundation of Philosophical Knowledge,” 1791). His criticism of the duality of Kant’s starting point and of the ad hoc character of his deductions contributed to the demand for a more coherent exposition of transcendental idealism, while his strategy for accomplishing this task stimulated others (above all, Fichte) to seek an even more “fundental” first principle for philosophy. Reinhold later bece an enthusiastic adherent, first of Fichte’s Wissenschaftslehre and then of Bardili’s “rational realism,” before finally adopting a novel “linguistic” approach to philosophical problems. 
Reinhold, Karl Leonhard 787    787 reism, also called concretism, the theory that the basic entities are concrete objects. Reism differs from nominalism in that the problem of universals is not its only motivation and often not the principal motivation for the theory. Three types of reism can be distinguished. (1) Brentano held that every object is a concrete or individual thing. He said that substances, aggregates of substances, parts of substances, and individual properties of substances are the only things that exist. There is no such thing as the existence or being of an object; and there are no non-existent objects. One consequence of this doctrine is that the object of thought (what the thought is about) is always an individual object and not a proposition. For exple, the thought that this paper is white is about this paper and not about the proposition that this paper is white. Meinong attacked Brentano’s concretism and argued that thoughts are about “objectives,” not objects. (2) Kotarbigski, who coined the term ‘reism’, holds as a basic principle that only concrete objects exist. Although things may be hard or soft, red or blue, there is no such thing as hardness, softness, redness, or blueness. Sentences that contain abstract words are either strictly meaningless or can be paraphrased into sentences that do not contain any abstract words. Kotarbinski is both a nominalist and a materialist. (Brentano was a nominalist and a dualist.) (3) Thomas Garrigue Masaryk’s concretism is quite different from the first two. For him, concretism is the theory that all of a person’s cognitive faculties participate in every instance of knowing: reason, senses, emotion, and will.  BRENTANO, KOTARBIGSKI, MEINONG. A.P.M. relation, a two-or-more-place property (e.g., loves or between), or the extension of such a property. In set theory, a relation is any set of ordered pairs (or triplets, etc., but these are reducible to pairs). For simplicity, the formal exposition here uses the language of set theory, although an intensional (property-theoretic) view is later assumed. The terms of a relation R are the members of the pairs constituting R, the items that R relates. The collection D of all first terms of pairs in R is the domain of R; any collection with D as a subcollection may also be so called. Similarly, the second terms of these pairs make up (or are a subcollection of) the range (counterdomain or converse domain) of R. One usually works within a set U such that R is a subset of the Cartesian product U$U (the set of all ordered pairs on U). Relations can be: (1) reflexive (or exhibit reflexivity): for all a, aRa. That is, a reflexive relation is one that, like identity, each thing bears to itself. Exples: a weighs as much as b; or the universal relation, i.e., the relation R such that for all a and b, aRb. (2) symmetrical (or exhibit symmetry): for all a and b, aRb P bRa. In a symmetrical relation, the order of the terms is reversible. Exples: a is a sibling of b; a and b have a common divisor. Also symmetrical is the null relation, under which no object is related to anything. (3) transitive (or exhibit transitivity): for all a, b, and c, (aRb & bRc) P aRc. Transitive relations carry across a middle term. Exples: a is less than b; a is an ancestor of b. Thus, if a is less than b and b is less than c, a is less than c: less than has carried across the middle term, b. (4) antisymmetrical: for all a and b, (aRb & bRa) P a % b. (5) trichotomous, connected, or total (trichotomy): for all a and b, aRb 7 bRa 7 a % b. (6) asymmetrical: aRb & bRa holds for no a and b. (7) functional: for all a, b, and c, (aRb & aRc) P b % c. In a functional relation (which may also be called a function), each first term uniquely determines a second term. R is non-reflexive if it is not reflexive, i.e., if the condition (1) fails for at least one object a. R is non-symmetric if (2) fails for at least one pair of objects (a, b). Analogously for non-transitive. R is irreflexive (aliorelative) if (1) holds for no object a and intransitive if (3) holds for no objects a, b, and c. Thus understands is non-reflexive since some things do not understand themselves, but not irreflexive, since some things do; loves is nonsymmetric but not asymmetrical; and being a cousin of is non-transitive but not intransitive, as being mother of is. (1)–(3) define an equivalence relation (e.g., the identity relation ong numbers or the relation of being the se age as ong people). A class of objects bearing an equivalence relation R to each other is an equivalence class under R. (1), (3), and (4) define a partial order; (3), (5), and (6) a linear order. Similar properties define other important classifications, such as lattice and Boolean algebra. The converse of a relation R is the set of all pairs (b, a) such that aRb; the comreism relation 788    788 plement of R is the set of all pairs (a, b) such that –aRb (i.e. aRb does not hold). A more complex exple will show the power of a relational vocabulary. The ancestral of R is the set of all (a, b) such that either aRb or there are finitely many cI , c2, c3, . . . , cn such that aRcI and c1Rc2 and c2Rc3 and . . . and cnRb. Frege introduced the ancestral in his theory of number: the natural numbers are exactly those objects bearing the ancestral of the successor-of relation to zero. Equivalently, they are the intersection of all sets that contain zero and are closed under the successor relation. (This is formalizable in second-order logic.) Frege’s idea has many applications. E.g., assume a set U, relation R on U, and property F. An element a of U is hereditarily F (with respect to R) if a is F and any object b which bears the ancestral of R to a is also F. Hence F is here said to be a hereditary property, and the set a is hereditarily finite (with respect to the membership relation) if a is finite, its members are, as are the members of its members, etc. The hereditarily finite sets (or the sets hereditarily of cardinality ‹ k for any inaccessible k) are an important subuniverse of the universe of sets. Philosophical discussions of relations typically involve relations as special cases of properties (or sets). Thus nominalists and Platonists disagree over the reality of relations, since they disagree about properties in general. Similarly, one important connection is to formal semantics, where relations are customarily taken as the denotations of (relational) predicates. Disputes about the notion of essence are also pertinent. One says that a bears an internal relation, R, to b provided a’s standing in R to b is an essential property of a; otherwise a bears an external relation to b. If the essential–accidental distinction is accepted, then a thing’s essential properties will seem to include certain of its relations to other things, so that we must admit internal relations. Consider a point in space, which has no identity apart from its place in a certain system. Similarly for a number. Or consider my hand, which would perhaps not be the se object if it had not developed as part of my body. If it is true that I could not have had other parents – that possible persons similar to me but with distinct parents would not really be me – then I, too,  internally related to other things, nely my parents. Similar arguments would generate numerous internal relations for organisms, artifacts, and natural objects in general. Internal relations will also seem to exist ong properties and relations themselves. Roundness is essentially a kind of shape, and the relation larger than is essentially the converse of the relation smaller than. In like usage, a relation between a and b is intrinsic if it depends just on how a and b are; extrinsic if they have it in virtue of their relation to other things. Thus, higher-than intrinsically relates the Alps to the Appalachians. That I prefer viewing the former to the latter establishes an extrinsic relation between the mountain ranges. Note that this distinction is obscure (as is internal-external). One could argue that the Alps are higher than the Appalachians only in virtue of the relation of each to something further, such as space, light rays, or measuring rods. Another issue specific to the theory of relations is whether relations are real, given that properties do exist. That is, someone might reject nominalism only to the extent of admitting one-place properties. Although such doctrines have some historical importance (in, e.g., Plato and Bradley), they have disappeared. Since relations are indispensable to modern logic and semantics, their inferiority to one-place properties can no longer be seriously entertained. Hence relations now have little independent significance in philosophy. 

ESSENTIALISM, IDENTITY, METAPHYSICS, POSSIBLE WORLDS, SET THEORY, SPACE. S.J.W. relationalism.FIELD THEORY. relational logic, the formal study of the properties of and operations on (binary) relations that was initiated by Peirce between 1870 and 1882. Thus, in relational logic, one might exine the formal properties of special kinds of relations, such as transitive relations, or asymmetrical ones, or orderings of certain types. Or the focus might be on various operations, such as that of forming the converse or relative product. Formal deductive systems used in such studies are generally known as calculi of relations.  
relativism, the denial that there are certain kinds of universal truths. There are two main types, cognitive and ethical. Cognitive relativism holds that there are no universal truths about the world: the world has no intrinsic characteristics, there are just different ways of interpreting it. The Greek Sophist Protagoras, the first person on record to hold such a view, said, “Man is the measure of all things; of things that are that they are, and of things that are not that they are not.” Goodman, Putn, and Rorty are contemporary philosophers who have held versions of relativism. Rorty says, e.g., that “ ‘objective truth’ is no more and no less than the best idea we currently have about how to explain what is going on.” Critics of cognitive relativism contend that it is self-referentially incoherent, since it presents its statements as universally true, rather than simply relatively so. Ethical relativism is the theory that there are no universally valid moral principles: all moral principles are valid relative to culture or individual choice. There are two subtypes: conventionalism, which holds that moral principles are valid relative to the conventions of a given culture or society; and subjectivism, which maintains that individual choices are what determine the validity of a moral principle. Its motto is, Morality lies in the eyes of the beholder. As Ernest Hemingway wrote, “So far, about morals, I know only that what is moral is what you feel good after and what is immoral is what you feel bad after.” Conventionalist ethical relativism consists of two theses: a diversity thesis, which specifies that what is considered morally right and wrong varies from society to society, so that there are no moral principles accepted by all societies; and a dependency thesis, which specifies that all moral principles derive their validity from cultural acceptance. From these two ideas relativists conclude that there are no universally valid moral principles applying everywhere and at all times. The first thesis, the diversity thesis, or what may simply be called cultural relativism, is anthropological; it registers the fact that moral rules differ from society to society. Although both ethical relativists and non-relativists typically accept cultural relativism, it is often confused with the normative thesis of ethical relativism. The opposite of ethical relativism is ethical objectivism, which asserts that although cultures may differ in their moral principles, some moral principles have universal validity. Even if, e.g., a culture does not recognize a duty to refrain from gratuitous harm, that principle is valid and the culture should adhere to it. There are two types of ethical objectivism, strong and weak. Strong objectivism, sometimes called absolutism, holds that there is one true moral system with specific moral rules. The ethics of ancient Israel in the Old Testent with its hundreds of laws exemplifies absolutism. Weak objectivism holds that there is a core morality, a determinate set of principles that are universally valid (usually including prohibitions against killing the innocent, stealing, breaking of promises, and lying). But weak objectivism accepts an indeterminate area where relativism is legitimate, e.g., rules regarding sexual mores and regulations of property. Both types of objectivism recognize what might be called application relativism, the endeavor to apply moral rules where there is a conflict between rules or where rules can be applied in different ways. For exple, the ancient Callactians ate their deceased parents but eschewed the impersonal practice of burying them as disrespectful, whereas contemporary society has the opposite attitudes about the care of dead relatives; but both practices exemplify the se principle of the respect for the dead. According to objectivism, cultures or forms of life can fail to exemplify an adequate moral community in at least three ways: (1) the people are insufficiently intelligent to put constitutive principles in order; (2) they are under considerable stress so that it becomes too burdensome to live by moral principles; and (3) a combination of (1) and (2). Ethical relativism is sometimes confused with ethical skepticism, the view that we cannot know whether there are any valid moral principles. Ethical nihilism holds that there are no valid moral principles. J. L. Mackie’s error theory is a version of this view. Mackie held that while we all believe some moral principles to be true, there are compelling arguments to the contrary. Ethical objectivism must be distinguished from moral realism, the view that valid moral principles are true, independently of human choice. Objectivism may be a form of ethical constructivism, typified by Rawls, whereby objective principles are simply those that impartial human beings would choose behind the veil of ignorance. That is, the principles are not truly independent of hypothetical human choices, but are constructs from those choices.  ETHICAL OBJECTIVISM, ETHICS, MORAL EPISTEMOLOGY, MORAL REALISM, SKEPTICISM. L.P.P. relativism, cultural.RELATIVISM. relativism, ethical.RELATIVISM. relativism relativism, ethical 790    790 relativism, scientific.THEORY-LADEN. relativity, a term applied to Einstein’s theories of electrodynics (special relativity, 1905) and gravitation (general relativity, 1916) because both hold that certain physical quantities, formerly considered objective, are actually “relative to” the state of motion of the observer. They are called “special” and “general” because, in special relativity, electrodynical laws determine a restricted class of kinematical reference fres, the “inertial fres”; in general relativity, the very distinction between inertial fres and others becomes a relative distinction. Special relativity. Classical mechanics makes no distinction between uniform motion and rest: not velocity, but acceleration is physically detectable, and so different states of uniform motion are physically equivalent. But classical electrodynics describes light as wave motion with a constant velocity through a medium, the “ether.” It follows that the measured velocity of light should depend on the motion of the observer relative to the medium. When interferometer experiments suggested that the velocity of light is independent of the motion of the source, H. A. Lorentz proposed that objects in motion contract in the direction of motion through the ether (while their local time “dilates”), and that this effect masks the difference in the velocity of light. Einstein, however, associated the interferometry results with many other indications that the theoretical distinction between uniform motion and rest in the ether lacks empirical content. He therefore postulated that, in electrodynics as in mechanics, all states of uniform motion are equivalent. To explain the apparent paradox that observers with different velocities can agree on the velocity of light, he criticized the idea of an “absolute” or fre-independent measure of simultaneity: simultaneity of distant events can only be established by some kind of signaling, but experiment suggested that light is the only signal with an invariant velocity, and observers in relative motion who determine simultaneity with light signals obtain different results. Furthermore, since objective measurement of time and length presupposes absolute simultaneity, observers in relative motion will also disagree on time and length. So Lorentz’s contraction and dilatation are not physical effects, but consequences of the relativity of simultaneity, length, and time, to the motion of the observer. But this relativity follows from the invariance of the laws of electrodynics, and the invariant content of the theory is expressed geometrically in Minkowski spacetime. Logical empiricists took the theory as an illustration of how epistemological analysis of a concept (time) could eliminate empirically superfluous notions (absolute simultaneity). General relativity. Special relativity made the velocity of light a limit for all causal processes and required revision of Newton’s theory of gravity as an instantaneous action at a distance. General relativity incorporates gravity into the geometry of space-time: instead of acting directly on one another, masses induce curvature in space-time. Thus the paths of falling bodies represent not forced deviations from the straight paths of a flat space-time, but “straightest” paths in a curved space-time. While space-time is “locally” Minkowskian, its global structure depends on mass-energy distribution. The insight behind this theory is the equivalence of gravitational and inertial mass: since a given gravitational field affects all bodies equally, weight is indistinguishable from the inertial force of acceleration; freefall motion is indistinguishable from inertial motion. This suggests that the Newtonian decomposition of free fall into inertial and accelerated components is arbitrary, and that the freefall path itself is the invariant basis for the structure of space-time. A philosophical motive for the general theory was to extend the relativity of motion. Einstein saw special relativity’s restricted class of equivalent reference fres as an “epistemological defect,” and he sought laws that would apply to any fre. His inspiration was Mach’s criticism of the Newtonian distinction between “absolute” rotation and rotation relative to observable bodies like the “fixed stars.” Einstein formulated Mach’s criticism as a fundental principle: since only relative motions are observable, local inertial effects should be explained by the cosmic distribution of masses and by motion relative to them. Thus not only velocity and rest, but motion in general would be relative. Einstein hoped to effect this generalization by eliminating the distinction between inertial fres and freely falling fres. Because free fall remains a privileged state of motion, however, non-gravitational acceleration remains detectable, and absolute rotation remains distinct from relative rotation. Einstein also thought that relativity of motion would result from the general covariance (coordinate-independence) of his theory – i.e., that general equivalence of coordinate systems meant general equivalence relativism, scientific relativity 791    791 of states of motion. It is now clear, however, that general covariance is a mathematical property of physical theories without direct implications about motion. So general relativity does not “generalize” the relativity of motion as Einstein intended. Its great accomplishments are the unification of gravity and geometry and the generalization of special relativity to space-times of arbitrary curvature, which has made possible the modern investigation of cosmological structure.  EINSTEIN, FIELD THEORY, PHILOSOPHY OF SCIENCE, SPACE-TIME. R.D. relativity, general.RELATIVITY. relativity, perceptual.PERCEPTION. relativity, special.
RELATIVITY. relativity, theory of.RELATIVITY. relativity of knowledge.MANNHEIM. relevance logic, any of a range of logics and philosophies of logic united by their insistence that the premises of a valid inference must be relevant to the conclusion. Standard, or classical, logic contains inferences that break this requirement, e.g., the spread law, that from a contradiction any proposition whatsoever follows. Relevance logic had its genesis in a system of strenge Implikation published by Wilhelm Ackermann in 1956. Ackermann’s idea for rejecting irrelevance was taken up and developed by Alan Anderson and Nuel Belnap in a series of papers between 1959 and Anderson’s death in 1974. The first main summaries of these researches appeared under their nes, and those of many collaborators, in Entailment: The Logic of Relevance and Necessity (vol. 1, 1975; vol. 2, 1992). By the time of Anderson’s death, a substantial research effort into relevance logic was under way, and it has continued. Besides the rather vague unity of the idea of relevance between premises and conclusion, there is a technical criterion often used to mark out relevance logic, introduced by Belnap in 1960, and applicable really only to propositional logics (the main focus of concern to date): a necessary condition of relevance is that premises and conclusion should share a (propositional) variable. Early attention was focused on systems E of entailment and T of ticket entailment. Both are subsystems of C. I. Lewis’s system S4 of strict implication and of classical truth-functional logic (i.e., consequences in E and T in ‘P’ are consequences in S4 in ‘ ’ and in classical logic in ‘/’). Besides rejection of the spread law, probably the most notorious inference that is rejected is disjunctive syllogism (DS) for extensional disjunction (which is equivalent to detachment for material implication): A 7 B,ÝA , B. The reason is immediate, given acceptance of Simplification and Addition: Simplification takes us from A & ÝA to each conjunct, and Addition turns the first conjunct into A 7 B. Unless DS were rejected, the spread law would follow. Since the late 1960s, attention has shifted to the system R of relevant implication, which adds permutation to E, to mingle systems which extend E and R by the mingle law A P (A P A), and to contraction-free logics, which additionally reject contraction, in one form reading (A P (A P B)) P (A P B). R minus contraction (RW) differs from linear logic, much studied recently in computer science, only by accepting the distribution of ‘&’ over ‘7’, which the latter rejects. Like linear logic, relevance logic contains both truth-functional and non-truth-functional connectives. Unlike linear logic, however, R, E, and T are undecidable (unusual ong propositional logics). This result was obtained only in 1984. In the early 1970s, relevance logics were given possible-worlds semantics by several authors working independently. They also have axiomatic, natural deduction, and sequent (or consecution) formulations. One technical result that has attracted attention has been the demonstration that, although relevance logics reject DS, they all accept Ackermann’s rule Gma: that if A 7 B and ÝA are theses, so is B. A recent result occasioning much surprise was that relevant arithmetic (consisting of Peano’s postulates on the base of quantified R) does not admit Gma.  IMPLICATION, MODAL LOGIC. S.L.R. relevant alternative.
CONTEXTUALISM. reliabilism, a type of theory in epistemology that holds that what qualifies a belief as knowledge or as epistemically justified is its reliable linkage to the truth. David Armstrong motivates reliabilism with an analogy between a thermometer that reliably indicates the temperature and a belief that reliably indicates the truth. A belief qualifies as knowledge, he says, if there is a lawlike connection in nature that guarantees that the belief is true. A cousin of the nomic sufficiency account is the counterfactual approach, proposed by Dretske, Goldman, and Nozick. A typical formulation of this approach says that a belief qualifies relativity, general reliabilism 792    792 as knowledge if the belief is true and the cognizer has reasons for believing it that would not obtain unless it were true. For exple, someone knows that the telephone is ringing if he believes this, it is true, and he has a specific auditory experience that would not occur unless the telephone were ringing. In a slightly different formulation, someone knows a proposition if he believes it, it is true, and if it were not true he would not believe it. In the exple, if the telephone were not ringing, he would not believe that it is, because he would not have the se auditory experience. These accounts are guided by the idea that to know a proposition it is not sufficient that the belief be “accidentally” true. Rather, the belief, or its mode of acquisition, must “track,” “hook up with,” or “indicate” the truth. Unlike knowledge, justified belief need not guarantee or be “hooked up” with the truth, for a justified belief need not itself be true. Nonetheless, reliabilists insist that the concept of justified belief also has a connection with truth acquisition. According to Goldman’s reliable process account, a belief’s justificational status depends on the psychological processes that produce or sustain it. Justified beliefs are produced by appropriate psychological processes, unjustified beliefs by inappropriate processes. For exple, beliefs produced or preserved by perception, memory, introspection, and “good” reasoning are justified, whereas beliefs produced by hunch, wishful thinking, or “bad” reasoning are unjustified. Why are the first group of processes appropriate and the second inappropriate? The difference appears to lie in their reliability. ong the beliefs produced by perception, introspection, or “good” reasoning, a high proportion are true; but only a low proportion of beliefs produced by hunch, wishful thinking, or “bad” reasoning are true. Thus, what qualifies a belief as justified is its being the outcome of a sequence of reliable belief-forming processes. Reliabilism is a species of epistemological externalism, because it makes knowledge or justification depend on factors such as truth connections or truth ratios that are outside the cognizer’s mind and not necessarily accessible to him. Yet reliabilism typically emphasizes internal factors as well, e.g., the cognitive processes responsible for a belief. Process reliabilism is a form of naturalistic epistemology because it centers on cognitive operations and thereby paves the way for cognitive psychology to play a role in epistemology.  EPISTEMOLOGY, NATURALISTIC EPISTEMOLOGY, PERCEPTION. A.I.G. religion, natural.NATURAL RELIGION, PHILOSOPHY OF RELIGION. religion, philosophy of.NATURAL RELIGION, PHILOSOPHY OF RELIGION. reminiscence.PLATO. Renouvier, Charles (1815–1903), French philosopher influenced by Kant and Comte, the latter being one of his teachers. Renouvier rejected many of the views of both these philosophers, however, charting his own course. He emphasized the irreducible plurality and individuality of all things against the contemporary tendencies toward absolute idealism. Human individuality he associated with indeterminism and freedom. To the extent that agents are undetermined by other things and self-determining, they are unique individuals. Indeterminism also extends to the physical world and to knowledge. He rejected absolute certitude, but defended the universality of the laws of logic and mathematics. In politics and religion, he emphasized individual freedom and freedom of conscience. His emphasis on plurality, indeterminism, freedom, novelty, and process influenced Jes and, through Jes, erican pragmatism.
rerum natura (Latin, ‘the nature of things’), metaphysics. The phrase can also be used more narrowly to mean the nature of physical reality, and often it presupposes a naturalistic view of all religion, natural rerum natura 793    793 reality. Lucretius’s epic poem De rerum natura is an Epicurean physics, designed to underpin the Epicurean morality. A.P.M. res cogitans.DESCARTES. res extensa.DESCARTES. residues, method of.MILL’S METHODS. respondent conditioning.
BEHAVIORISM. response variable.REGRESSION ANALYSIS. responsibility, a condition that relates an agent to actions of, and consequences connected to, that agent, and is always necessary and sometimes sufficient for the appropriateness of certain kinds of appraisals of that agent. Responsibility has no single definition, but is several closely connected specific concepts. Role responsibility. Agents are identified by social roles that they occupy, say parent or professor. Typically duties are associated with such roles – to care for the needs of their children, to attend classes and publish research papers. A person in a social role is “responsible for” the execution of those duties. One who carries out such duties is “a responsible person” or “is behaving responsibly.” Causal responsibility. Events, including but not limited to human actions, cause other events. The cause is “responsible” for the effect. Causal responsibility does not imply consciousness; objects and natural phenomena may have causal responsibility. Liability responsibility. Practices of praise and ble include constraints on the mental stance that an agent must have toward an action or a consequence of action, in order for praise or ble to be appropriate. To meet such constraints is to meet a fundental necessary condition for liability for praise or ble – hence the expression ‘liability responsibility’. These constraints include such factors as intention, knowledge, recklessness toward consequences, absence of mistake, accident, inevitability of choice. An agent with the capability for liability responsibility may lack it on some occasion – when mistaken, for exple. Capacity responsibility. Practices of praise and ble assume a level of intellectual and emotional capability. The severely mentally disadvantaged or the very young, for exple, do not have the capacity to meet the conditions for liability responsibility. They are not “responsible” in that they lack capacity responsibility. Both morality and law embody and respect these distinctions, though law institutionalizes and formalizes them. Final or “bottom-line” assignment of responsibility equivalent to indeed deserving praise or ble standardly requires each of the latter three specific kinds of responsibility. The first kind supplies some normative standards for praise or ble. 
CAUSATION, DIMINISHED CAPACITY, FREE WILL, HART, INTENTION, MENS REA. R.A.Sh. responsibility, diminished.DIMINISHED CAPACITY. restricted quantification.FORMAL LOGIC. restrictio.PROPRIETATES TERMINORUM. resultance, a relation according to which one property (the resultant property, sometimes called the consequential property) is possessed by some object or event in virtue of (and hence as a result of) that object or event possessing some other property or set of properties. The idea is that properties of things can be ordered into connected levels, some being more basic than and giving rise to others, the latter resulting from the former. For instance, a figure possesses the property of being a triangle in virtue of its possessing a collection of properties, including being a plane figure, having three sides, and so on; the former resulting from the latter. An object is brittle (has the property of being brittle) in virtue of having a certain molecular structure. It is often claimed that moral properties like rightness and goodness are resultant properties: an action is right in virtue of its possessing other properties. These exples make it clear that the nature of the necessary connection holding between a resultant property and those base properties that ground it may differ from case to case. In the geometrical exple, the very concept of being a triangle grounds the resultance relation in question, and while brittleness is nomologically related to the base properties from which it results, in the moral case, the resultance relation is arguably neither conceptual nor causal.  CONSTITUTION, NATURALISM, SUPERVENIENCE. M.C.T. resultant attribute.SUPERVENIENCE. res cogitans resultant attribute 794    794 retributive justice.JUSTICE, PUNISHMENT. retributivism.PUNISHMENT. retrocausation.CAUSATION. return, eternal.ETERNAL RETURN. revelation.PHILOSOPHY OF RELIGION. revisionary metaphysics.METAPHYSICS. Rhazes.AL-RAZI. Richard Kilvington.KILVINGTON. Richard Rufus, also called Richard of Cornwall (d. c.1260), English philosopher-theologian who wrote some of the earliest commentaries on Aristotle in the Latin West. His commentaries were not cursory summaries; they included sustained philosophical discussions. Richard was a master of arts at Paris, where he studied with Alexander of Hales; he was also deeply influenced by Robert Grosseteste. He left Paris and joined the Franciscan order in 1238; he was ordained in England. In 1256, he bece regent master of the Franciscan studium at Oxford; according to Roger Bacon, he was the most influential philosophical theologian at Oxford in the second half of the thirteenth century. In addition to his Aristotle commentaries, Richard wrote two commentaries on Peter Lombard’s Sentences (c.1250, c.1254). In the first of these he borrowed freely from Robert Grosseteste, Alexander of Hales, and Richard Fishacre; the second commentary was a critical condensation of the lectures of his younger contemporary, St. Bonaventure, presented in Paris. Richard Rufus was the first medieval proponent of the theory of impetus; his views on projectile motion were cited by Franciscus Meyronnes. He also advocated other arguments first presented by Johannes Philoponus. Against the eternity of the world, he argued: (1) past time is necessarily finite, since it has been traversed, and (2) the world is not eternal, since if the world had no beginning, no more time would transpire before tomorrow than before today. He also argued that if the world had not been created ex nihilo, the first cause would be mutable. Robert Grosseteste cited one of Richard’s arguments against the eternity of the world in his notes on Aristotle’s Physics. In theology, Richard denied the validity of Anselm’s ontological argument, but, anticipating Duns Scotus, he argued that the existence of an independent being could be inferred from its possibility. Like Duns Scotus, he employs the formal distinction as an explanatory tool; in presenting his own views, Duns Scotus cited Richard’s definition of the formal distinction. Richard stated his philosophical views briefly, even cryptically; his Latin prose style is sometimes eccentric, characterized by interjections in which he addresses questions to God, himself, and his readers. He was hesitant about the value of systematic theology for the theologian, deferring to biblical exposition as the primary forum for theological discussion. In systematic theology, he emphasized Aristotelian philosophy and logic. He was a well-known logician; some scholars believe he is the fous logician known as the Magister Abstractionum. Though he borrowed freely from his contemporaries, he was a profoundly original philosopher.  ALEXANDER OF HALES, BONAVENTURE, GROSSETESTE, PETER LOMBARD. R.W. Richard’s paradox.SEMANTIC PARADOXES. Rickert, Heinrich.NEO-KANTIANISM. Ricoeur, Paul (b.1913), French hermeneuticist and phenomenologist who has been a professor at several French universities as well as the University of Naples, Yale University, and the University of Chicago. He has received major prizes from France, Germany, and Italy. He is the author of twenty-some volumes translated in a variety of languages. ong his best-known books are Freedom and Nature: The Voluntary and the Involuntary; Freud and Philosophy: An Essay of Interpretation; The Conflict of Interpretations: Essay in Hermeneutics; The Role of the Metaphor: Multi-Disciplinary Studies of the Creation of Meaning in Language, Time and Narrative; and Oneself as Another. His early studies with the French existentialist Marcel resulted in a book-length study of Marcel’s work and later a series of published dialogues with him. Ricoeur’s philosophical enterprise is colored by a continuing tension between faith and reason. His long-standing commitments to both the significance of the individual and the Christian faith are reflected in his hermeneutical voyage, his commitment to the Esprit movement, and his interest in the writings of Emmanuel Mounier. This latter point is also seen in his claim of the inseparability of action and disretributive justice Ricoeur, Paul 795    795 course in our quest for meaning. In our comprehension of both history and fiction one must turn to the text to understand its plot as guideline if we are to comprehend experience of any reflective sort. In the end there are no metaphysical or epistemological grounds by which meaning can be verified, and yet our nature is such that possibility must be present before us. Ricoeur attempts his explanation through a hermeneutic phenomenology. The very hermeneutics of existence that follows is itself limited by reason’s questioning of experience and its attempts to transcend the limit through the language of symbols and metaphors. Freedom and meaning come to be realized in the actualization of an ethics that arises out of the very act of existing and thus transcends the mere natural voluntary distinction of a formal ethic. It is clear from his later work that he rejects any form of foundationalism including phenomenology as well as nihilism and easy skepticism. Through a sort of interdependent dialectic that goes beyond the more mechanical models of Hegelianism or Marxism, the self understands itself and is understood by the other in terms of its suffering and its moral actions.  HEGEL, HERMENEUTICS, HUSSERL, MARCEL, PHENOMENOLOGY. J.Bi. Riemann, G. F. B.NON-EUCLIDEAN GEOMETRY. right, absolute.RIGHTS. right, prima facie.RIGHTS. right action.ETHICS. rightness, objective.OBJECTIVE RIGHTNESS. rightness, subjective.
OBJECTIVE RIGHTNESS. right of nature.HOBBES. rights, advantageous positions conferred on some possessor by law, morals, rules, or other norms. There is no agreement on the sense in which rights are advantages. Will theories hold that rights favor the will of the possessor over the conflicting will of some other party; interest theories maintain that rights serve to protect or promote the interests of the right-holder. Hohfeld identified four legal advantages: liberties, claims, powers, and immunities. The concept of a right arose in Roman jurisprudence and was extended to ethics via natural law theory. Just as positive law, the law posited by human lawmakers, confers legal rights, so the natural law confers natural rights. Rights are classified by their specific sources in different sorts of rules. Legal rights are advantageous positions under the law of a society. Other species of institutional rights are conferred by the rules of private organizations, of the moral code of a society, or even of some ge. Those who identify natural law with the moral law often identify natural rights with moral rights, but some limit natural rights to our most fundental rights and contrast them with ordinary moral rights. Others deny that moral rights are natural because they believe that they are conferred by the mores or positive morality of one’s society. One always possesses any specific right by virtue of possessing some status. Thus, rights are also classified by status. Civil rights are those one possesses as a citizen; human rights are possessed by virtue of being human. Presumably women’s rights, children’s rights, patients’ rights, and the rights of blacks as such are analogous. Human rights play very much the se role in ethics once played by natural rights. This is partly because ontological doubts about the existence of God undermine the acceptance of any natural law taken to consist in divine commands, and epistemological doubts about self-evident moral truths lead many to reject any natural law conceived of as the dictates of reason. Although the Thomistic view that natural rights are grounded on the nature of man is often advocated, most moral philosophers reject its teleological conception of human nature defined by essential human purposes. It seems simpler to appeal instead to fundental rights that must be universal ong human beings because they are possessed merely by virtue of one’s status as a human being. Human rights are still thought of as natural in the very broad sense of existing independently of any human action or institution. This explains how they can be used as an independent standard in terms of which to criticize the laws and policies of governments and other organizations. Since human rights are classified by status rather than source, there is another species of human rights that are institutional rather than natural. These are the human rights that have been incorporated into legal systems by international agreements such as the European Convention on Human Rights. It is sometimes said that while natural rights were conceived as purely negative rights, such as the right not to be arbitrarily imprisoned, human rights are conceived more broadly to include positive social and economic rights, such as the Riemann, G. F. B. rights 796    796 right to social security or to an adequate standard of living. But this is surely not true by definition. Traditional natural law theorists such as Grotius and Locke spoke of natural rights as powers and associated them with liberties, rather than with claims against interference. And while modern declarations of human rights typically include social and economic rights, they assume that these are rights in the se sense that traditional political rights are. Rights are often classified by their formal properties. For exple, the right not to be battered is a negative right because it imposes a negative duty not to batter, while the creditor’s right to be repaid is a positive right because it imposes a positive duty to repay. The right to be repaid is also a passive right because its content is properly formulated in the passive voice, while the right to defend oneself is an active right because its content is best stated in the active voice. Again, a right in rem is a right that holds against all second parties; a right in person is a right that holds against one or a few others. This is not quite Hart’s distinction between general and special rights, rights of everyone against everyone, such as the right to free speech, and rights arising from special relations, such as that between creditor and debtor or husband and wife. Rights are conceptually contrasted with duties because rights are advantages while duties are disadvantages. Still, many jurists and philosophers have held that rights and duties are logical correlatives. This does seem to be true of claim rights; thus, the creditor’s right to be repaid implies the debtor’s duty to repay and vice versa. But the logical correlative of a liberty right, such as one’s right to park in front of one’s house, is the absence of any duty for one not to do so. This contrast is indicated by D. D. Raphael’s distinction between rights of recipience and rights of action. Sometimes to say that one has a right to do something is to say merely that it is not wrong for one to act in this way. This has been called the weak sense of ‘a right’. More often to assert that one has a right to do something does not imply that exercising this right is right. Thus, I might have a right to refuse to do a favor for a friend even though it would be wrong for me to do so. Finally, many philosophers distinguish between absolute and prima facie rights. An absolute right always holds, i.e., disadvantages some second party, within its scope; a prima facie right is one that holds unless the ground of the right is outweighed by some stronger contrary reason.  DUTY, HOHFELD, NATURAL LAW, PHILOSOPHY OF LAW, POLITICAL PHILOSOPHY. C.We. rights, Hohfeldian.HOHFELD. rights, imperfect.GROTIUS. rights, legal.RIGHTS. rights, natural.RIGHTS. rights, perfect.RIGHTS. rigid designator.MEANING. rigorism, the view that morality consists in that single set of simple or unqualified moral rules, discoverable by reason, which applies to all human beings at all times. It is often said that Kant’s doctrine of the categorical imperative is rigoristic. Two main objections to rigorism are (1) some moral rules do not apply universally – e.g., ‘Promises should be kept’ applies only where there is an institution of promising; and (2) some rules that could be universally kept are absurd – e.g., that everyone should stand on one leg while the sun rises. Recent interpreters of Kant defend him against these objections by arguing, e.g., that the “rules” he had in mind are general guidelines for living well, which are in fact universal and practically relevant, or that he was not a rigorist at all, seeing moral worth as issuing primarily from the agent’s character rather than adherence to rules. R.C. rigorous duty.DUTY. ring of Gyges, a ring that gives its wearer invisibility, discussed in Plato’s Republic (II, 359b– 360d). Glaucon tells the story of a man who discovered the ring and used it to usurp the throne to defend the claim that those who behave justly do so only because they lack the power to act unjustly. If they could avoid paying the penalty of injustice, Glaucon argues, everyone would be unjust.  PLATO, SOCRATES. W.J.P. robot.COMPUTER THEORY. role responsibility.RESPONSIBILITY. Rorty, Richard (b.1931), erican philosopher, notable for the breadth of his philosophical and cultural interests. He was educated at the University of Chicago and Yale and has taught at rights, Hohfeldian Rorty, Richard 797    797 Wellesley, Princeton, the University of Virginia, and Stanford. His early work was primarily in standard areas of analytic philosophy such as the philosophy of mind, where, for exple, he developed an important defense of eliminative materialism. In 1979, however, he published Philosophy and the Mirror of Nature, which was both hailed and denounced as a fundental critique of analytic philosophy. Both the praise and the abuse were often based on misconceptions, but there is no doubt that Rorty questioned fundental presuppositions of many Anglo-erican philosophers and showed affinities for Continental alternatives to analytic philosophy. At root, however, Rorty’s position is neither analytic (except in its stylistic clarity) nor Continental (except in its cultural breadth). His view is, rather, pragmatic, a contemporary incarnation of the distinctively erican philosophizing of Jes, Peirce, and Dewey. On Rorty’s reading, pragmatism involves a rejection of the representationalism that has dominated modern philosophy from Descartes through logical positivism. According to representationalism, we have direct access only to ideas that represent the world, not to the world itself. Philosophy has the privileged role of determining the criteria for judging that our representations are adequate to reality. A main thrust of Philosophy and the Mirror of Nature is to discredit representationalism, first by showing how it has functioned as an unjustified presupposition in classical modern philosophers such as Descartes, Locke, and Kant, and second by showing how analytic philosophers such as Wilfrid Sellars and Quine have revealed the incoherence of representationalist assumptions in contemporary epistemology. Since, on Rorty’s view, representationalism defines the epistemological project of modern philosophy, its failure requires that we abandon this project and, with it, traditional pretensions to a privileged cognitive role for philosophy. Rorty sees no point in seeking a non-representationalist basis for the justification or the truth of our knowledge claims. It is enough to accept as justified beliefs those on which our epistemic community agrees and to use ‘true’ as an honorific term for beliefs that we see as “justified to the hilt.” Rorty characterizes his positive position as “liberal ironism.” His liberalism is of a standard sort, taking as its basic value the freedom of all individuals: first, their freedom from suffering, but then also freedom to form their lives with whatever values they find most compelling. Rorty distinguishes the “public sphere” in which we all share the liberal commitment to universal freedom from the “private spheres” in which we all work out our own specific conception of the good. His ironism reflects his realization that there is no grounding for public or private values other than our deep (but contingent) commitment to them and his appreciation of the multitude of private values that he does not himself happen to share. Rorty has emphasized the importance of literature and literary criticism – as opposed to traditional philosophy – for providing the citizens of a liberal society with appropriate sensitivities to the needs and values of others.  ANALYTIC PHILOSOPHY; CONTINENTAL PHILOSOPHY; PRAGMATISM;
QUINE; SELLARS, WILFRID. G.G. Roscelin de Compiègne (c.1050–c.1125), French philosopher and logician who bece embroiled in theological controversy when he applied his logical teachings to the doctrine of the Trinity. Since almost nothing survives of his written work, we must rely on hostile accounts of his views by Anselm of Canterbury and Peter Abelard, both of whom openly opposed his positions. Perhaps the most notorious view Roscelin is said to have held is that universals are merely the puffs of air produced when a word is pronounced. On this point he opposed views current ong many theologians that a universal has an existence independent of language, and somehow is what many different particulars are. Roscelin’s aversion to any proposal that different things can be some one thing is probably what led him in his thinking about the three persons of God to a position that sounded suspiciously like the heresy of tritheism. Roscelin also evidently held that the qualities of things are not entities distinct from the subjects that possess them. This indicates that Roscelin probably denied that terms in the Aristotelian categories other than substance signified anything distinct from substances. Abelard, the foremost logician of the twelfth century, studied under Roscelin around 1095 and was undoubtedly influenced by him on the question of universals. Roscelin’s view that universals are linguistic entities remained an important option in medieval thought. Otherwise his positions do not appear to have had much currency in the ensuing decades. 
ABSTRACT ENTITY, METAPHYSICS. M.M.T. Rosenzweig, Franz (1886–1929), German phiRoscelin de Compiègne Rosenzweig, Franz 798    798 losopher and Jewish theologian known as one of the founders of religious existentialism. His early relation to Judaism was tenuous, and at one point he ce close to converting to Christianity. A religious experience in a synagogue made him change his mind and return to Judaism. His chief philosophic works are a two-volume study, Hegel and the State (1920), and his masterpiece, The Star of Redemption (1921). Rosenzweig’s experience in World War I caused him to reject absolute idealism on the ground that it cannot account for the privacy and finality of death. Instead of looking for a unifying principle behind existence, Rosenzweig starts with three independent realities “given” in experience: God, the self, and the world. Calling his method “radical empiricism,” he explains how God, the self, and the world are connected by three primary relations: creation, revelation, and redemption. In revelation, God does not communicate verbal statements but merely a presence that calls for love and devotion from worshipers. 
EXISTENTIALISM, JEWISH PHILOSOPHY. K.See. Rosmini-Serbati, Antonio (1797–1855), Italian philosopher, Catholic priest, counselor to Pope Pius IX, and supporter of the supremacy of the church over civil government (Neo-Guelphism). Rosmini had two major concerns: the objectivity of human knowledge and the synthesis of philosophical thought within the tradition of Catholic thought. In his Nuovo saggio sull’origine delle idee (“New Essay on the Origin of Ideas,” 1830), he identifies the universal a priori intuitive component of all human knowledge with the idea of being that gives us the notion of a possible or ideal being. Everything in the world is known by intellectual perception, which is the synthesis of sensation and the idea of being. Except for the idea of being, which is directly given by God, all ideas derive from abstraction. The objectivity of human knowledge rests on its universal origin in the idea of being. The harmony between philosophy and religion comes from the fact that all human knowledge is the result of divine revelation. Rosmini’s thought was influenced by Augustine and Aquinas, and stimulated by the attempt to find a solution to the contrasting needs of rationalism and empiricism. P.Gar.
Ross, W(illi) D(avid) (1877–1971), British Aristotelian scholar and moral philosopher. Born in Edinburgh and educated at the University of Edinburgh and at Balliol College, Oxford, he bece a fellow of Merton College, then a fellow, tutor, and eventually provost at Oriel College. He was vice-chancellor of Oxford University (1941–44) and president of the British Academy (1936–40). He was knighted in 1938 in view of national service. Ross was a distinguished classical scholar: he edited the Oxford translations of Aristotle (1908–31) and translated the Metaphysics and the Ethics himself. His Aristotle (1923) is a judicious exposition of Aristotle’s work as a whole. Kant’s Ethical Theory (1954) is a commentary on Kant’s The Groundwork of Ethics. His major contribution to philosophy was in ethics: The Right and the Good (1930) and Foundations of Ethics(1939). The view he expressed there was controversial in English-speaking countries for ten years or so. He held that ‘right’ and ‘good’ are empirically indefinable terms that ne objective properties the presence of which is known intuitively by persons who are mature and educated. We first cognize them in particular instances, then arrive at general principles involving them by “intuitive induction.” (He thought every ethical theory must admit at least one intuition.) The knowledge of moral principles is thus rather like knowledge of the principles of geometry. ‘Right’ (‘dutiful’) applies to acts, in the sense of what an agent brings about (and there is no duty to act from a good motive, and a right act can have a bad motive); ‘morally good’ applies primarily to the desires that bring about action. He castigated utilitarianism as absorbing all duties into enhancing the wellbeing of everyone affected, whereas in fact we have strong special obligations to keep promises, make reparation for injuries, repay services done, distribute happiness in accord with merit, benefit individuals generally (and he concedes this is a weighty matter) and ourselves (only in respect of knowledge and virtue), and not injure others (normally a stronger obligation than that to benefit). That we have these “prima facie” duties is self-evident, but they are only prima facie in the sense that they are actual duties only if there is no stronger conflicting prima facie duty; and when prima facie duties conflict, what one ought to do is what satisfies all of them best – although which this is is a matter of judgment, not self-evidence. (He conceded, however, in contrast to his general critique of utilitarianism, that public support of these prima facie principles with their intuitive strength can be justified on utilitarian grounds.) To meet various counterexples Ross introduced complications, such as that a promise is not binding if disRosmini-Serbati, Antonio Ross, W(illi) D(avid) 799    799 charge of it will not benefit the promisee (providing this was an implicit understanding), and it is less binding if made long ago or in a casual manner. Only four states of affairs are good in themselves: desire to do one’s duty (virtue), knowledge, pleasure, and the distribution of happiness in accordance with desert. Of these, virtue is more valuable than any ount of knowledge or pleasure. In Foundations of Ethics he held that virtue and pleasure are not good in the se sense: virtue is “admirable” but pleasure only a “worthy object of satisfaction” (so ‘good’ does not ne just one property). 
Rousseau, Jean-Jacques (1712–78), Swiss-born French philosopher, essayist, novelist, and musician, best known for his theories on social freedom and societal rights, education, and religion. Born in Geneva, he was largely self-educated and moved to France as a teenager. Throughout much of his life he moved between Paris and the provinces with several trips abroad (including a Scottish stay with Hume) and a return visit to Geneva, where he reconverted to Protestantism from his earlier conversion to Catholicism. For a time he was a friend of Diderot and other philosophes and was asked to contribute articles on music for the Encyclopedia. Rousseau’s work can be seen from at least three perspectives. As social contract theorist, he attempts to construct a hypothetical state of nature to explain the current human situation. This evolves a form of philosophical anthropology that gives us both a theory of human nature and a series of pragmatic claims concerning social organization. As a social commentator, he speaks of both practical and ideal forms of education and social organization. As a moralist, he continually attempts to unite the individual and the citizen through some form of universal political action or consent. In Discourse on the Origin and Foundation of Inequality ong Mankind (1755), Rousseau presents us with an almost idyllic view of humanity. In nature humans are first seen as little more than animals except for their special species sympathy. Later, through an explanation of the development of reason and language, he is able to suggest how humans, while retaining this sympathy, can, by distancing themselves from nature, understand their individual selves. This leads to natural community and the closest thing to what Rousseau considers humanity’s perfect moment. Private property quickly follows on the division of labor, and humans find themselves alienated from each other by the class divisions engendered by private property. Thus man, who was born in freedom, now finds himself in chains. The Social Contract or Principles of Political Right (1762) has a more bitious goal. With an account of the practical role of the legislator and the introduction of the concept of the general will, Rousseau attempts to give us a foundation for good government by presenting a solution to the conflicts between the particular and the universal, the individual and the citizen, and the actual and the moral. Individuals, freely agreeing to a social pact and giving up their rights to the community, are assured of the liberties and equality of political citizenship found in the contract. It is only through being a citizen that the individual can fully realize his freedom and exercise his moral rights and duties. While the individual is naturally good, he must always guard against being dominated or dominating. Rousseau finds a solution to the problems of individual freedoms and interests in a superior form of moral/political action that he calls the general will. The individual as citizen substitutes “I must” for “I will,” which is also an “I shall” when it expresses assent to the general will. The general will is a universal force or statement and thus is more noble than any particular will. In willing his own interest, the citizen is at the se time willing what is communally good. The particular and the universal are united. The individual human participant realizes himself in realizing the good of all. As a practical political commentator Rousseau knew that the universal and the particular do not always coincide. For this he introduced the idea of the legislator, which allows the individual citizen to realize his fulfillment as social being and to exercise his individual rights through universal consent. In moments of difference between the majority will and the general will the legislator will instill the correct moral/political understanding. This will be represented in the laws. While sovereignty rests with the citizens, Rousseau does not require that political action be direct. Although all government should be democratic, various forms of government from representative democracy (preferable in small societies) to strong monarchies (preferable in large nation-states) may be acceptable. To shore up the unity and stability of individual societies, Rousseau suggests a sort of civic religion to which all citizens subscribe and in which all members Rousseau, Jean-Jacques Rousseau, Jean-Jacques 800    800 participate. His earlier writings on education and his later practical treatises on the governments of Poland and Corsica reflect related concerns with natural and moral development and with historical and geographical considerations. 

SOCIAL CONTRACT. J.Bi. Royce, Josiah (1855–1916), erican philosopher best known for his pragmatic idealism, his ethics of loyalty, and his theory of community. Educated at Berkeley, at Johns Hopkins, and in Germany, he taught philosophy at Harvard from 1882. Royce held that a concept of the absolute or eternal was needed to account for truth, ultimate meaning, and reality in the face of very real evil in human experience. Seeking to reconcile individuals with the Absolute, he postulated, in The World and the Individual (1899,1901), Absolute Will and Thought as an expression of the concrete and differentiated individuality of the world. Royce saw the individual self as both moral and sinful, developing through social interaction, community experience, and communal and self-interpretation. Self is constituted by a life plan, by loyalty to an ultimate goal. Yet selflimitation and egoism, two human sins, work against achievement of individual goals, perhaps rendering life a senseless failure. The self needs saving and this is the message of religion, argues Royce (The Religious Aspects of Philosophy, 1885; The Sources of Religious Insight, 1912). For Royce, the instrument of salvation is the community. In The Philosophy of Loyalty (1908), he develops an ethics of loyalty to loyalty, i.e., the extension of loyalty throughout the human community. In The Problem of Christianity (1913), Royce presents a doctrine of community that overcomes the individualism–collectivism dilemma and allows a genuine blending of individual and social will. Community is built through interpretation, a mediative process that reconciles two ideas, goals, and persons, bringing common meaning and understanding. Interpretation involves respect for selves as dynos of ideas and purposes, the will to interpret, dissatisfaction with partial meanings and narrowness of view, reciprocity, and mutuality. In this work, the Absolute is a “Community of Interpretation and Hope,” in which there is an endlessly accumulating series of interpretations and significant deeds. An individual contribution thus is not lost but becomes an indispensable element in the divine life. ong Royce’s influential students were C. I. Lewis, Willi Ernest Hocking, Norbert Wiener, Santayana, and T. S. Eliot. J.A.K.K. Rufus, Richard.RICHARD RUFUS. rule, primary.HART. rule, secondary.HART. rule of addition.DISJUNCTION INTRODUCTION. rule of conjunction.CONJUNCTION INTRODUCTION. rule of detachment.

rule of law, the largely formal or procedural properties of a well-ordered legal system. Commonly, these properties are thought to include: a prohibition of arbitrary power (the lawgiver is also subject to the laws); laws that are general, prospective, clear, and consistent (capable of guiding conduct); and tribunals (courts) that are reasonably accessible and fairly structured to hear and determine legal claims. Contemporary discussions of the rule of law focus on two major questions: (1) to what extent is conformity to the rule of law essential to the very idea of a legal system; and (2) what is the connection between the rule of law and the substantive moral value of a legal system?
Russell, Bertrand (Arthur Willi) (1872–1970), British philosopher, logician, social reformer, and man of letters, one of the founders of analytic philosophy. Born into an aristocratic political fily, Russell always divided his interests between politics and philosophy. Orphaned at four, he was brought up by his grandmother, who educated him at home with the help of tutors. He studied mathematics at Cbridge from 1890 to 1893, when he turned to philosophy. At home he had absorbed J. S. Mill’s liberalism, but not his empiricism. At Cbridge he ce under the influence of neo-Hegelianism, especially the idealism of McTaggart, Ward (his tutor), and Bradley. His earliest logical views were influenced most by Bradley, especially Bradley’s rejection of psychologism. But, like Ward and McTaggart, he rejected Bradley’s metaphysical monism in favor of pluralism (or monadism). Even as an idealist, he held that scientific knowledge was the best available and that philosophy should be built around it. Through many subsequent changes, this belief about science, his pluralism, and his anti-psychologism remained constant. In 1895, he conceived the idea of an idealist encyclopedia of the sciences to be developed by the use of transcendental arguments to establish the conditions under which the special sciences are possible. Russell’s first philosophical book, An Essay on the Foundations of Geometry (1897), was part of this project, as were other (mostly unfinished and unpublished) pieces on physics and arithmetic written at this time (see his Collected Papers, vols. 1–2). Russell claimed, in contrast to Kant, to use transcendental arguments in a purely logical way compatible with his anti-psychologism. In this case, however, it should be both possible and preferable to replace them by purely deductive arguments. Another problem arose in connection with asymmetrical relations, which led to contradictions if treated as internal relations, but which were essential for any treatment of mathematics. Russell resolved both problems in 1898 by abandoning idealism (including internal relations and his Kantian methodology). He called this the one real revolution in his philosophy. With his Cbridge contemporary Moore, he adopted an extreme Platonic realism, fully stated in The Principles of Mathematics (1903) though anticipated in A Critical Exposition of the Philosophy of Leibniz (1900). Russell’s work on the sciences was by then concentrated on pure mathematics, but the new philosophy yielded little progress until, in 1900, he discovered Peano’s symbolic logic, which offered hope that pure mathematics could be treated without Kantian intuitions or transcendental arguments. On this basis Russell propounded logicism, the claim that the whole of pure mathematics could be derived deductively from logical principles, a position he ce to independently of Frege, who held a similar but more restricted view but whose work Russell discovered only later. Logicism was announced in The Principles of Mathematics; its development occupied Russell, in collaboration with Whitehead, for the next ten years. Their results were published in Principia Mathematica (1910–13, 3 vols.), in which detailed derivations were given for Cantor’s set theory, finite and transfinite arithmetic, and elementary parts of measure theory. As a demonstration of Russell’s logicism, Principia depends upon much prior arithmetization of mathematics, e.g. of analysis, which is not explicitly treated. Even with these allowances much is still left out: e.g., abstract algebra and statistics. Russell’s unpublished papers (Papers, vols. 4–5), however, contain logical innovations not included in Principia, e.g., anticipations of Church’s lbda-calculus. On Russell’s extreme realism, everything that can be referred to is a term that has being (though not necessarily existence). The combination of terms by means of a relation results in a complex term, which is a proposition. Terms are neither linguistic nor psychological. The first task of philosophy is the theoretical analysis of propositions into their constituents. The propositions of logic are unique in that they remain true when any of their terms (apart from logical constants) are replaced by any other terms. In 1901 Russell discovered that this position fell prey to self-referential paradoxes. For exple, if the combination of any number of terms is a new term, the combination of all terms is a term distinct from any term. The most fous such paradox is called Russell’s paradox. Russell’s solution was the theory of types, which banned self-reference by stratifying terms and expressions into complex hierarchies of disjoint subclasses. The expression ‘all terms’, e.g., is then meaningless unless restricted to terms of specified type(s), and the combination of terms of a given type is a term of different type. A simple version of the theory appeared in Principles of Mathematics (appendix A), but did not eliminate all the paradoxes. Russell developed a more elaborate version that did, in “Mathematical Logic as Based on the Theory of Types” (1908) and in Principia. From 1903 to 1908 Russell sought to preserve his earlier account of logic by finding other ways to avoid the paradoxes – including a well-developed substitutional theory of classes and relations (posthumously published in Essays in Analysis, 1974, and Papers, vol. 5). Other costs of type theory for Russell’s logicism included the vastly increased complexity of the resulting sysRussell, Bertrand (Arthur Willi) Russell, Bertrand (Arthur Willi) 802    802 tem and the admission of the problematic axiom of reducibility. Two other difficulties with Russell’s extreme realism had important consequences: (1) ‘I met Quine’ and ‘I met a man’ are different propositions, even when Quine is the man I met. In the Principles, the first proposition contains a man, while the second contains a denoting concept that denotes the man. Denoting concepts are like Fregean senses; they are meanings and have denotations. When one occurs in a proposition the proposition is not about the concept but its denotation. This theory requires that there be some way in which a denoting concept, rather than its denotation, can be denoted. After much effort, Russell concluded in “On Denoting” (1905) that this was impossible and eliminated denoting concepts as intermediaries between denoting phrases and their denotations by means of his theory of descriptions. Using firstorder predicate logic, Russell showed (in a broad, though not comprehensive range of cases) how denoting phrases could be eliminated in favor of predicates and quantified variables, for which logically proper nes could be substituted. (These were nes of objects of acquaintance – represented in ordinary language by ‘this’ and ‘that’. Most nes, he thought, were disguised definite descriptions.) Similar techniques were applied elsewhere to other kinds of expression (e.g. class nes) resulting in the more general theory of incomplete symbols. One important consequence of this was that the ontological commitments of a theory could be reduced by reformulating the theory to remove expressions that apparently denoted problematic entities. (2) The theory of incomplete symbols also helped solve extreme realism’s epistemic problems, nely how to account for knowledge of terms that do not exist, and for the distinction between true and false propositions. First, the theory explained how knowledge of a wide range of items could be achieved by knowledge by acquaintance of a much narrower range. Second, propositional expressions were treated as incomplete symbols and eliminated in favor of their constituents and a propositional attitude by Russell’s multiple relation theory of judgment. These innovations marked the end of Russell’s extreme realism, though he remained a Platonist in that he included universals ong the objects of acquaintance. Russell referred to all his philosophy after 1898 as logical atomism, indicating thereby that certain categories of items were taken as basic and items in other categories were constructed from them by rigorous logical means. It depends therefore upon reduction, which bece a key concept in early analytic philosophy. Logical atomism changed as Russell’s logic developed and as more philosophical consequences were drawn from its application, but the label is now most often applied to the modified realism Russell held from 1905 to 1919. Logic was central to Russell’s philosophy from 1900 onward, and much of his fertility and importance as a philosopher ce from his application of the new logic to old problems. In 1910 Russell bece a lecturer at Cbridge. There his interests turned to epistemology. In writing a popular book, Problems of Philosophy (1912), he first ce to appreciate the work of the British empiricists, especially Hume and Berkeley. He held that empirical knowledge is based on direct acquaintance with sense-data, and that matter itself, of which we have only knowledge by description, is postulated as the best explanation of sense-data. He soon bece dissatisfied with this idea and proposed instead that matter be logically constructed out of sensedata and unsensed sensibilia, thereby obviating dubious inferences to material objects as the causes of sensations. This proposal was inspired by the successful constructions of mathematical concepts in Principia. He planned a large work, “Theory of Knowledge,” which was to use the multiple relation theory to extend his account from acquaintance to belief and inference (Papers, vol. 7). However, the project was abandoned as incomplete in the face of Wittgenstein’s attacks on the multiple relation theory, and Russell published only those portions dealing with acquaintance. The construction of matter, however, went ahead, at least in outline, in Our Knowledge of the External World (1914), though the only detailed constructions were undertaken later by Carnap. On Russell’s account, material objects are those series of sensibilia that obey the laws of physics. Sensibilia of which a mind is aware (sense-data) provide the experiential basis for that mind’s knowledge of the physical world. This theory is similar, though not identical, to phenomenalism. Russell saw the theory as an application of Ockh’s razor, by which postulated entities were replaced by logical constructions. He devoted much time to understanding modern physics, including relativity and quantum theory, and in The Analysis of Matter (1927) he incorporated the fundental ideas of those theories into his construction of the physical world. In this book he abandoned sensibilia as fundental constituents of the world in favor Russell, Bertrand (Arthur Willi) Russell, Bertrand (Arthur Willi) 803    803 of events, which were “neutral” because intrinsically neither physical nor mental. In 1916 Russell was dismissed from Cbridge on political grounds and from that time on had to earn his living by writing and public lecturing. His popular lectures, “The Philosophy of Logical Atomism” (1918), were a result of this. These lectures form an interim work, looking back on the logical achievements of 1905–10 and emphasizing their importance for philosophy, while taking stock of the problems raised by Wittgenstein’s criticisms of the multiple relation theory. In 1919 Russell’s philosophy of mind underwent substantial changes, partly in response to those criticisms. The changes appeared in “On Propositions: What They Are and How They Mean” (1919) and The Analysis of Mind (1921), where the influence of contemporary trends in psychology, especially behaviorism, is evident. Russell gave up the view that minds are ong the fundental constituents of the world, and adopted neutral monism, already advocated by Mach, Jes, and the erican New Realists. On Russell’s neutral monism, a mind is constituted by a set of events related by subjective temporal relations (simultaneity, successiveness) and by certain special (“mnemic”) causal laws. In this way he was able to explain the apparent fact that “Hume’s inability to perceive himself was not peculiar.” In place of the multiple relation theory Russell identified the contents of beliefs with images (“imagepropositions”) and words (“word-propositions”), understood as certain sorts of events, and analyzed truth (qua correspondence) in terms of resemblance and causal relations. From 1938 to 1944 Russell lived in the United States, where he wrote An Inquiry into Meaning and Truth (1940) and his popular A History of Western Philosophy (1945). His philosophical attention turned from metaphysics to epistemology and he continued to work in this field after he returned in 1944 to Cbridge, where he completed his last major philosophical work, Human Knowledge: Its Scope and Limits (1948). The frework of Russell’s early epistemology consisted of an analysis of knowledge in terms of justified true belief (though it has been suggested that he unintentionally anticipated Edmund Gettier’s objection to this analysis), and an analysis of epistemic justification that combined fallibilism with a weak empiricism and with a foundationalism that made room for coherence. This frework was retained in An Inquiry and Human Knowledge, but there were two sorts of changes that attenuated the foundationalist and empiricist elements and accentuated the fallibilist element. First, the scope of human knowledge was reduced. Russell had already replaced his earlier Moorean consequentialism about values with subjectivism. (Contrast “The Elements of Ethics,” 1910, with, e.g., Religion and Science, 1935, or Human Society in Ethics and Politics, 1954.) Consequently, what had been construed as self-evident judgments of intrinsic value ce to be regarded as non-cognitive expressions of desire. In addition, Russell now reversed his earlier belief that deductive inference can yield new knowledge. Second, the degree of justification attainable in human knowledge was reduced at all levels. Regarding the foundation of perceptual beliefs, Russell ce to admit that the object-knowledge (“acquaintance with a sensedatum” was replaced by “noticing a perceptive occurrence” in An Inquiry) that provides the non-inferential justification for a perceptual belief is buried under layers of “interpretation” and unconscious inference in even the earliest stages of perceptual processes. Regarding the superstructure of inferentially justified beliefs, Russell concluded in Human Knowledge that unrestricted induction is not generally truthpreserving (anticipating Goodman’s “new riddle of induction”). Consideration of the work of Reichenbach and Keynes on probability led him to the conclusion that certain “postulates” are needed “to provide the antecedent probabilities required to justify inductions,” and that the only possible justification for believing these postulates lies, not in their self-evidence, but in the resultant increase in the overall coherence of one’s total belief system. In the end, Russell’s desire for certainty went unsatisfied, as he felt himself forced to the conclusion that “all human knowledge is uncertain, inexact, and partial. To this doctrine we have not found any limitation whatever.” Russell’s strictly philosophical writings of 1919 and later have generally been less influential than his earlier writings. His influence was eclipsed by that of logical positivism and ordinary language philosophy. He approved of the logical positivists’ respect for logic and science, though he disagreed with their metaphysical agnosticism. But his dislike of ordinary language philosophy was visceral. In My Philosophical Development (1959), he accused its practitioners of abandoning the attempt to understand the world, “that grave and important task which philosophy throughout the ages has hitherto pursued.” 
Russian nihilism, a form of nihilism, a phenomenon mainly of Russia in the 1860s, which, in contrast to the general cultural nihilism that Nietzsche later criticized (in the 1880s) as a “dead-end” devaluing of all values, was futureoriented and “instrumental,” exalting possibility over actuality. Russian nihilists urged the “annihilation” – figurative and literal – of the past and present, i.e., of realized social and cultural values and of such values in process of realization, in the ne of the future, i.e., for the sake of social and cultural values yet to be realized. Bakunin, as early as 1842, had stated the basic nihilist theme: “the negation of what exists . . . for the benefit of the future which does not yet exist.” The bestknown literary exemplar of nihilism in Russia is the character Bazarov in Turgenev’s novel Fathers and Sons (1862). Its most articulate spokesman was Dmitri Pisarev (1840–68), who shared Bazarov’s cultural anti-Romanticism, philosophical anti-idealism, and unquestioned trust in the power of natural science to solve social and moral problems. Pisarev proclaimed, “It is precisely in the [spread-eagled, laboratory] frog that the salvation . . . of the Russian people is to be found.” And he formulated what may serve as the manifesto of Russian nihilism: “What can be broken should be broken; what will stand the blow is fit to live; what breaks into smithereens is rubbish; in any case, strike right and left, it will not and cannot do any harm.” 
Russian philosophy, the philosophy produced by Russian thinkers, both in Russia and in the countries to which they emigrated, from the mideighteenth century to the present. There was no Renaissance in Russia, but in the early eighteenth century Peter the Great, in opening a “window to the West,” opened Russia up to Western philosophical influences. The beginnings of Russian speculation date from that period, in the dialogues, fables, and poems of the anti-Enlightenment thinker Gregory Skovoroda (1722–94) and in the social tracts, metaphysical treatises, and poems of the Enlightenment thinker Alexander Radishchev (1749–1802). Until the last quarter of the nineteenth century the most original and forceful Russian thinkers stood outside the academy. Since then, both in Russia and in Western exile, a number of the most important Russian philosophers – including Berdyaev and Lev Shestov (1866– 1938) – have been university professors. The nineteenth-century thinkers, though universityeducated, lacked advanced degrees. The only university professor ong them, Peter Lavrov (1823–1900), taught mathematics and science rather than philosophy (during the 1850s). If we compare Russian philosophy to German philosophy of this period, with its galaxy of university professors – Wolff, Kant, Fichte, Schelling, Hegel, Dilthey – the contrast is sharp. However, if we compare Russian philosophy to English or French philosophy, the contrast fades. No professors of philosophy appear in the line from Francis Bacon through Hobbes, Locke, Berkeley, Hume, Benth, and J. S. Mill, to Spencer. And in France Montaigne, Descartes, Pascal, Rousseau, and Comte were all non-professors. True to their non-professional, even “ateur” status, Russian philosophers until the late nineteenth century paid little attention to the more technical disciplines: logic, epistemology, philosophy of language, and philosophy of science. They focused instead on philosophical anthropology, ethics, social and political philosophy, philosophy of history, and philosophy of religion. In Russia, more than in any other Western cultural tradition, speculation, fiction, and poetry have been linked. On the one hand, major novelists such as Tolstoy and Dostoevsky, and major poets such as Pasternak and Brodsky, have engaged in wide-ranging philosophical reflection. On the other hand, philosophers such as Skovoroda, Alexei Khomyakov (1804–60), and Vladimir Solovyov (1853–1900) were gifted poets, while thinkers such as Herzen, Konstantin Leontyev (1831–91), and the anti-Leninist Marxist Alexander Bogdanov (1873–1928) made their literary mark with novels, short stories, and memoirs. Such Russian thinkers as Vasily Rozanov (1856–1919) and Shestov, although they wrote no belles lettres, were celebrated in literary circles for their sparkling essayistic and aphoristic styles. Certain preoccupations of nineteenth-century Russian thinkers – especially Pyotr Chaadaev (1794–1856) during the 1820s and 1830s, the Slavophiles and Westernizers during the 1840s and 1850s, and the Populists during the 1860s and 1870s – might appear to be distinctive but in fact were not. The controversial questions of Russia’s relation to Western Europe and of Russell’s paradox Russian philosophy 805    805 Russia’s “special path” to modernity have their counterparts in the reflections of thinkers in Spain (“Spain and Europe”), Germany (the Sonderweg – a term of which the Russian osobyi put’ is a translation), and Poland (“the Polish Question”). The content of Russian philosophy may be characterized in general terms as tending toward utopianism, maximalism, moralism, and soteriology. To take the last point first: Hegelianism was received in Russia in the 1830s not only as an allembracing philosophical system but also as a vehicle of secular salvation. In the 1860s Darwinism was similarly received, as was Marxism in the 1890s. Utopianism appears at the historical and sociopolitical level in two of Solovyov’s characteristic doctrines: his early “free theocracy,” in which the spiritual authority of the Roman pope was to be united with the secular authority of the Russian tsar; and his later ecumenical project of reuniting the Eastern (Russian Orthodox) and Western (Roman Catholic) churches in a single “universal [vselenskaia] church” that would also incorporate the “Protestant principle” of free philosophical and theological inquiry. Maximalism appears at the individual and religious level in Shestov’s claim that God, for whom alone “all things are possible,” can cause what has happened not to have happened and, in particular, can restore irrecoverable human loss, such as that associated with disease, deformity, madness, and death. Maximalism and moralism are united at the cosmic and “scientific-technological” level in Nikolai Fyodorov’s (1829–1903) insistence on the overriding moral obligation of all men (“the sons”) to join the common cause of restoring life to “the fathers,” those who gave them life rather than, as sanctioned by the “theory of progress,” pushing them, figuratively if not literally, into the grave. Certain doctrinal emphases and assumptions link Russian thinkers from widely separated points on the political and ideological spectrum: (1) Russian philosophers were nearly unanimous in dismissing the notorious CartesianHumean “problem of other minds” as a nonproblem. Their convictions about human community and conciliarity (sobornost’), whether religious or secular, were too powerful to permit Russian thinkers to raise serious doubts as to whether their moaning and bleeding neighbor was “really” in pain. (2) Most Russian thinkers – the Westernizers were a partial exception – viewed key Western philosophical positions and formulations, from the Socratic “know thyself” to the Cartesian cogito, as overly individualistic and overly intellectualistic, as failing to take into account the wholeness of the human person. (3) Both such anti-Marxists as Herzen (with his “philosophy of the act”) and Fyodorov (with his “projective” common task) and the early Russian Marxists were in agreement about the unacceptability of the “Western” dichotomy between thought and action. But when they stressed the unity of theory and practice, a key question remained: Who is to shape this unity? And what is its form? The threadbare MarxistLeninist “philosophy” of the Stalin years paid lip service to the freedom involved in forging such a unity. Stalin in fact imposed crushing restraints upon both thought and action. Since 1982, works by and about the previously abused or neglected religious and speculative thinkers of Russia’s past have been widely republished and eagerly discussed. This applies to Fyodorov, Solovyov, Leontyev, Rozanov, Berdyaev, Shestov, and the Husserlian Shpet, ong others.  BAKUNIN, BERDYAEV,
Ryle, Gilbert (1900–76), English analytic philosopher known especially for his contributions to the philosophy of mind and his attacks on Cartesianism. His best-known work is the masterpiece The Concept of Mind (1949), an attack on what he calls “Cartesian dualism” and a defense of a type of logical behaviorism. This dualism he dubs “the dogma of the Ghost in the Machine,” the Machine being the body, which is physical and publicly observable, and the Ghost being the mind conceived as a private or secret arena in which episodes of sense perception, consciousness, and inner perception take place. A person, then, is a combination of such a mind and a body, with the mind operating the body through exercises of will called “volitions.” Ryle’s attack on this doctrine is both sharply focused and multifarious. He finds that it rests on a category mistake, nely, assimilating statements about mental processes to the se category as statements about physical processes. This is a mistake in the logic of mental statements and mental concepts and leads to the mistaken metaphysical theory that a person is composed of two separate and distinct (though somehow related) entities, a mind and a body. It is true that statements about the physical are statements about things and their changes. But statements about the mental  are not, and in particular are not about a thing called “the mind.” These two types of statements do not belong to the se category. To show this, Ryle deploys a variety of arguments, including arguments alleging the impossibility of causal relations between mind and body and arguments alleging vicious infinite regresses. To develop his positive view on the nature of mind, Ryle studies the uses (and hence the logic) of mental terms and finds that mental statements tell us that the person performs observable actions in certain ways and has a disposition to perform other observable actions in specifiable circumstances. For exple, to do something intelligently is to do something physical in a certain way and to adjust one’s behavior to the circumstances, not, as the dogma of the Ghost in the Machine would have it, to perform two actions, one of which is a mental action of thinking that eventually causes a separate physical action. Ryle buttresses this position with many acute and subtle analyses of the uses of mental terms. Much of Ryle’s other work concerns philosophical methodology, sustaining the thesis (which is the backbone of The Concept of Mind) that philosophical problems and doctrines often arise from conceptual confusion, i.e., from mistakes about the logic of language. Important writings in this vein include the influential article “Systematically Misleading Expressions” and the book Dilemmas (1954). Ryle was also interested in Greek philosophy throughout his life, and his last major work, Plato’s Progress, puts forward novel hypotheses about changes in Plato’s views, the role of the Academy, the purposes and uses of Plato’s dialogues, and Plato’s relations with the rulers of Syracuse. 
Saadiah Gaon (882–942), Jewish exegete, philosopher, liturgist, grmarian, and lexicographer. Born in the Fayyum in Egypt, Saadiah wrote his first Hebrew dictionary by age twenty. He removed to Tiberias, probably fleeing the backlash of his polemic against the Karaite (biblicist, anti-Talmudic) sect. There he mastered the inductive techniques of semantic analysis pioneered by Muslim MuÅtazilites in defending their rationalistic monotheism and voluntaristic theodicy. He learned philologically from the Masoretes and liturgical poets, and philosophically from the MuÅtazilite-influenced Jewish metaphysician Daud al-Muqmif of Raqqa in Iraq, and Isaac Israeli of Qayrawan in Tunisia, a Neoplatonizing physician, with whom the young philosopher attempted a correspondence. But his sense of system, evidenced in his pioneering chronology, prayerbook, and scheme of tropes, and nurtured by Arabic versions of Plato (but seemingly not much Aristotle), allowed him to outgrow and outshine his mentors. He ce to prominence by successfully defending the traditional Hebrew calendar, using astronomical, mathematical, and rabbinic arguments. Called to Baghdad, he bece Gaon (Hebrew, ‘Eminence’) or head of the ancient Talmudic academy of Pumpedita, then nearly defunct. His commentaries on rabbinic property law and his letters to Jewish communities as far away as Spain refurbished the authority of the academy, but a controversy with the Exilarch, secular head of Mesopotian Jewry, led to his deposition and six years in limbo, deprived of his judicial authority. He delved into scientific cosmology, translated many biblical books into Arabic with philosophic commentaries and thematic introductions, and around 933 completed The Book of Critically Chosen Beliefs and Convictions, the first Jewish philosophical summa. Unusual ong medieval works for a lengthy epistemological introduction, its ten Arabic treatises defend and define creation, monotheism, human obligation and virtue, theodicy, natural retribution, resurrection, immortality and recompense, Israel’s redemption, and the good life. Saadiah argues that no single good suffices for human happiness; each in isolation is destructive. The Torah prepares the optimal blend of the appetitive and erotic, procreative, civilizational, ascetic, political, intellectual, pious, and tranquil. Following al-Rhazi (d. 925 or 932), Saadiah argues that since destruction always overcomes organization in this world, sufferings will always outweigh pleasures; therefore (as in rabbinic and MuÅtazilite theodicy) God must be assumed to right the balances in the hereafter. Indeed, justice is the object of creation – not simply that the righteous be rewarded but that all should earn their deserved requital: the very light that is sown for the righteous is the fire that torments the wicked. But if requital and even recompense must be earned, this life is much more than an anteroom. Authenticity becomes a value in itself: the innocent are not told directly that their sufferings are a trial, or their testing would be invalid. Only by enduring their sufferings without interference can they demonstrate the qualities that make them worthy of the highest reward. Movingly reconciled with the Exilarch, Saadiah ended his life as Gaon. His voluntarism, naturalism, and rationalism laid philosophical foundations for Maimonides, and his inductive exegesis bece a cornerstone of critical hermeneutics. 
JEWISH PHILOSOPHY. L.E.G. sage.SHENG. Saint Petersburg paradox, a puzzle about gbling that motivated the distinction between expected return and expected utility. Daniel Bernoulli published it in a St. Petersburg journal in 1738. It concerns a gble like this: it pays $2 if heads appears on the first toss of a coin, $4 if heads does not appear until the second toss, $8 if heads does not appear until the third toss, and so on. The expected return from the gble is (½)2 ! (¼)4 ! (1 /8)8 ! . . . , or 1 ! 1 ! 1 ! ..., i.e., it is infinite. But no one would pay much for the gble. So it seems that expected returns do not govern rational preferences. Bernoulli argued that expected utilities govern rational preferences. He also held that the utility of wealth is proportional to the log of the ount of wealth. Given his assumptions, the gble has finite 808 S    808 expected utility, and should not be preferred to large sums of money. However, a twentieth-century version of the paradox, attributed to Karl Menger, reconstructs the gble, putting utility payoffs in place of monetary payoffs, so that the new gble has infinite expected utility. Since no one would trade much utility for the new gble, it also seems that expected utilities do not govern rational preferences. The resolution of the paradox is under debate. 
Saint-Simon, Comte de, title of Claude-Henri de Rouvroy (1760–1825), French social reformer. An aristocrat by birth, he initially joined the ranks of the enlightened and liberal bourgeoisie. His Newtonian Letters to an Inhabitant of Geneva (1803) and Introduction to Scientific Works of the Nineteenth Century (1808) chpioned Condorcet’s vision of scientific and technological progress. With Auguste Comte, he shared a positivistic philosophy of history: the triumph of science over metaphysics. Written in wartime, The Reorganization of European Society (1814) urged the creation of a European parlientary system to secure peace and unity. Having moved from scientism to pacifism, Saint-Simon moved further to industrialism. In 1817, under the influence of two theocratic thinkers, de Maistre and Bonald, Saint-Simon turned away from classical economic liberalism and repudiated laissez-faire capitalism. The Industrial System (1820) drafts the progr for a hierarchical state, a technocratic society, and a planned economy. The industrial society of the future is based on the principles of productivity and cooperation and led by a rational and efficient class, the industrialists (artists, scientists, and technicians). He argued that the association of positivism with unselfishness, of techniques of rational production with social solidarity and interdependency, would remedy the plight of the poor. Industrialism prefigures socialism, and socialism paves the way for the rule of the law of love, the eschatological age of The New Christianity (1825). This utopian treatise, which reveals Saint-Simon’s alternative to reactionary Catholicism and Protestant individualism, bece the Bible of the Saint-Simonians, a sectarian school of utopian socialists. J.-L.S. Sakti, in Hindu thought, force, power, or energy, personified as the divine consort of the god Siva. Sakti is viewed as the feminine active divine aspect (as contrasted with the masculine passive divine aspect), which affects the creation, maintenance, and dissolution of the universe, and possesses intelligence, will, knowledge, and action as modes.
sadhi, Sanskrit term meaning ‘concentration’, ‘absorption’, ‘superconscious state’, ‘altered state of consciousness’. In India’s philosophical tradition this term was made fous by its use in the Yoga system of Patañjali (second century B.C.). In this system the goal was to attain the self’s freedom, so that the self, conceived as pure consciousness in its true nature, would not be limited by the material modes of existence. It was believed that through a series of yogic techniques the self is freed from its karmic fetters and liberated to its original state of self-luminous consciousness, known as sadhi. The Indian philosophical systems had raised and debated many epistemological and metaphysical questions regarding the nature of consciousness, the concept of mind, and the idea of the self. They also wondered whether a yogi who has attained sadhi is within the confines of the conventional moral realm. This issue is similar to Nietzsche’s idea of the transvaluation of values.  NIETZSCHE. D.K.C. sanantara-pratyaya, in Buddhism, a causal term meaning ‘immediately antecedent (anantara) and similar (sa) condition’. According to Buddhist causal theory, every existent is a continuum of momentary events of various kinds. These momentary events may be causally connected to one another in a variety of ways; one of these is denoted by the term sanantarapratyaya. This kind of causal connection requires that every momentary event have, as a necessary condition for its existence, an immediately preceding event of the se kind. So, e.g., ong the necessary conditions for the occurrence of a moment of sensation in some continuum must be the occurrence of an immediately preceding moment of sensation in that se continuum. P.J.G. satha, in Buddhism, tranquillity or calm. The term is used to describe both one kind of meditational practice and the states of consciousness produced by it. To cultivate tranquillity or calmness is to reduce the mind’s level of affect and, Saint-Simon satha 809    809 finally, to produce a state of consciousness in which emotion is altogether absent. This condition is taken to have salvific significance because emotional disturbance of all kinds is thought to hinder clear perception and understanding of the way things are; reduction of affect therefore aids accurate cognition. The techniques designed to foster this reduction are essentially concentrative. 
ssara (Sanskrit, ‘going around’), in Hindu thought, the ceaseless rounds of rebirth that constitute the human predicent. Ssara speaks of the relentless cycle of coming and going in transmigration of the soul from body to body in this and other worlds. It is the manifestation of karma, for one’s deeds bear fruition in the timing, status, form, and nature of the phenomenal person in future lives. Ordinary individuals have little prospect of release and in some systems the relationship ong karma, rebirth, and ssara is a highly mechanical cosmic law of debt and credit which affirms that human deeds produce their own reward or punishment. For theists the Deity is the ultimate controller of ssara and can break the cycle, adjust it, or, by the god’s kindness or grace, save one from future births regardless of one’s actions.  AVATAR. R.N.Mi. Sanches, Francisco (c.1551–1623), Portugueseborn philosopher and physician. Raised in southern France, he took his medical degree at the University of Montpellier. After a decade of medical practice he was professor of philosophy at the University of Toulouse and later professor of medicine there. His most important work, Quod nihil scitur(That Nothing Is Known, 1581), is a classic of skeptical argumentation. Written at the se time that his cousin, Montaigne, wrote the “Apology for Raimund Sebond,” it devastatingly criticized the Aristotelian theory of knowledge. He began by declaring that he did not even know if he knew nothing. Then he exined the Aristotelian view that science consists of certain knowledge gained by demonstrations from true definitions. First of all, we do not possess such definitions, since all our definitions are just arbitrary nes of things. The Aristotelian theory of demonstration is useless, since in syllogistic reasoning the conclusion has to be part of the evidence for the premises. E.g., how can one know that all men are mortal unless one knows that Socrates is mortal? Also, anything can be proven by syllogistic reasoning if one chooses the right premises. This does not produce real knowledge. Further we cannot know anything through its causes, since one would have to know the causes of the causes, and the causes of these, ad infinitum. Sanches also attacked the Platonic theory of knowledge, since mathematical knowledge is about ideal rather than real objects. Mathematics is only hypothetical. Its relevance to experience is not known. True science would consist of perfect knowledge of a thing. Each particular would be understood in and by itself. Such knowledge can be attained only by God. We cannot study objects one by one, since they are all interrelated and interconnected. Our faculties are also not reliable enough. Hence genuine knowledge cannot be attained by humans. What we can do, using “scientific method” (a term first used by Sanches), is gather careful empirical information and make cautious judgments about it. His views were well known in the seventeenth century, and may have inspired the “mitigated skepticism” of Gassendi and others.  SKEPTICISM. R.H.P. sanction, anything whose function is to penalize or reward. It is useful to distinguish between social sanctions, legal sanctions, internal sanctions, and religious sanctions. Social sanctions are extralegal pressures exerted upon the agent by others. For exple, others might distrust us, ostracize us, or even physically attack us, if we behave in certain ways. Legal sanctions include corporal punishment, imprisonment, fines, withdrawal of the legal rights to run a business or to leave the area, and other penalties. Internal sanctions may include not only guilt feelings but also the sympathetic pleasures of helping others or the gratified conscience of doing right. Divine sanctions, if there are any, are rewards or punishments given to us by a god while we are alive or after we die. There are important philosophical questions concerning sanctions. Should law be defined as the rules the breaking of which elicits punishment by the state? Could there be a moral duty to behave in a given way if there were no social sanctions concerning such behavior? If not, then a conventionalist account of moral duty seems unavoidable. And, to what extent does the combined effect of external and internal sanctions make rational egoism (or prudence or self-interest) coincide with morality? B.W.H. Shita sanction 810    810 Sankara.SHANKARA. Sankhya-Yoga, a system of Hindu thought that posits two sorts of reality, immaterial (purusha) and material (prakrti). Prakrti, a physical stuff composed of what is lightweight and finegrained (sattva), what is heavy and coarse (tas), and what is active (rajas), is in some sense the source of matter, force, space, and time. Sankhya physical theory explains the complex by reference to the properties of its components. The physical universe everlastingly oscillates between states in which the three elements exist unmixed and states in which they mingle; when they mingle, they compose physical bodies some of which incarnate bits of purusha. When the basic elements mingle, transmigration occurs. Pursha is inherently passive, and mental properties belong only to the composite of prakrti and purusha, leading critics to ask what, when the physical elements are separated, individuates one mind from another. The answer is that one bit of purusha has one transmigratory history and another bit has another history. Critics (e.g., Nyaya-Vaishesika philosophers) were not satisfied with this answer, which allowed no intrinsic distinctions between bits of non-incarnate purusha. The dialectic of criticism led to Advaita Vedanta (for which all purusha distinctions are illusory) and other varieties of Vedanta (Dvaita and Visistadvaita) for which minds have inherent, not merely embodied, consciousness. Sankhya claims that there can be no emergent properties (properties not somehow a reshuffling of prior properties), so the effect must in some sense preexist in the cause. 
Santayana, George (1863–1952), Spanisherican philosopher and writer. Born in Spain, he arrived in the United States as a child, received his education at Harvard, and rose to professor of philosophy there. He first ce to prominence for his view, developed in The Sense of Beauty (1896), that beauty is objectified pleasure. His The Life of Reason (5 vols., 1905), a celebrated expression of his naturalistic vision, traces human creativity in ordinary life, society, art, religion, and science. He denied that his philosophy ever changed, but the mature expression of his thought, in Skepticism and Animal Faith (1923) and The Realms of Being (4 vols., 1927–40), is deliberately ontological and lacks the phenomenological emphasis of the earlier work. Human beings, according to Santayana, are animals in a material world contingent to the core. Reflection must take as its primary datum human action aimed at eating and fleeing. The philosophy of animal faith consists of disentangling the beliefs tacit in such actions and yields a realism concerning both the objects of immediate consciousness and the objects of belief. Knowledge is true belief rendered in symbolic terms. As symbolism, it constitutes the hauntingly beautiful worlds of the senses, poetry, and religion; as knowledge, it guides and is tested by successful action. Santayana had been taught by Willi Jes, and his insistence on the primacy of action suggests a close similarity to the views of Dewey. He is, nevertheless, not a pragmatist in any ordinary sense: he views nature as the fully formed arena of human activity and experience as a flow of isolated, private sentience in this alien world. His deepest sympathy is with Aristotle, though he agrees with Plato about the mind-independent existence of Forms and with Schopenhauer about the dimness of human prospects. His mature four-realm ontology turns on the distinction between essence and matter. Essences are forms of definiteness. They are infinite in number and encompass everything possible. Their eternity makes them causally inefficacious: as possibilities, they cannot accomplish their own actualization. Matter, a surd and formless force, generates the physical universe by selecting essences for embodiment. Truth is the realm of being created by the intersection of matter and form: it is the eternal record of essences that have been, are being, and will be given actuality in the history of the world. Spirit or consciousness cannot be reduced to the motions of the physical organism that give rise to it. It is constituted by a sequence of acts or intuitions whose objects are essences but whose time-spanning, synthetic nature renders them impotent. Organic selectivity is the source of values. Accordingly, the good of each organism is a function of its nature. Santayana simply accepts the fact that some of these goods are incommensurable and the tragic reality that they may be incompatible, as well. Under favorable circumstances, a life of reason or of maximal harmonized satisfactions is possible for a while. The finest achievement of human beings, however, is the spiritual life in which we overcome animal partiality and thus all valuation in order to enjoy the intuition of eternal essences. Santayana identifies such spirituality with the best that religion and sound philosophy can offer. It does not help us escape finitude and death, but enables us Sankara Santayana, George 811    811 in this short life to transcend care and to intuit the eternal. Santayana’s exquisite vision has gained him many admirers but few followers. His system is a self-consistent and sophisticated synthesis of elements, such as materialism and Platonism, that have hitherto been thought impossible to reconcile. His masterful writing makes his books instructive and pleasurable, even if many of his characteristic views engender resistance ong philosophers. J.La. Sapir-Whorf hypothesis, broadly, the claim that one’s perception, thought, and behavior are influenced by one’s language. The hypothesis was ned after Benjin Lee Whorf (1897– 1941) and his teacher Edward Sapir (1884– 1939). We may discern different versions of this claim by distinguishing degrees of linguistic influence, the highest of which is complete and unalterable determination of the fundental structures of perception, thought, and behavior. In the most radical form, the hypothesis says that one’s reality is constructed by one’s language and that differently structured languages give rise to different realities, which are incommensurable. 

Sartre, Jean-Paul (1905–80), French philosopher and writer, the leading advocate of existentialism during the years following World War II. The heart of his philosophy was the precious notion of freedom and its concomitant sense of personal responsibility. He insisted, in an interview a few years before his death, that he never ceased to believe that “in the end one is always responsible for what is made of one,” only a slight revision of his earlier, bolder slogan, “man makes himself.” To be sure, as a student of Hegel, Marx, Husserl, and Heidegger – and because of his own physical frailty and the tragedies of the war – Sartre had to be well aware of the many constraints and obstacles to human freedom, but as a Cartesian, he never deviated from Descartes’s classical portrait of human consciousness as free and distinct from the physical universe it inhabits. One is never free of one’s “situation,” Sartre tells us, though one is always free to deny (“negate”) that situation and to try to change it. To be human, to be conscious, is to be free to imagine, free to choose, and responsible for one’s lot in life. As a student, Sartre was fascinated by Husserl’s new philosophical method, phenomenology. His first essays were direct responses to Husserl and applications of the phenomenological method. His essay on The Imagination in 1936 established the groundwork for much of what was to follow: the celebration of our remarkable freedom to imagine the world other than it is and (following Kant) the way that this ability informs all of our experience. In The Transcendence of the Ego (1937) he reconsidered Husserl’s central idea of a “phenomenological reduction” (the idea of exining the essential structures of consciousness as such) and argued (following Heidegger) that one cannot exine consciousness without at the se time recognizing the reality of actual objects in the world. In other words, there can be no such “reduction.” In his novel Nausea (1938), Sartre made this point in a protracted exple: his bored and often nauseated narrator confronts a gnarled chestnut tree in the park and recognizes with a visceral shock that its presence is simply given and utterly irreducible. In The Transcendence of the Ego Sartre also reconsiders the notion of the self, which Husserl (and so many earlier philosophers) had identified with consciousness. But the self, Sartre argues, is not “in” consciousness, much less identical to it. The self is out there “in the world, like the self of another.” In other words, the self is an ongoing project in the world with other people; it is not simply self-awareness or self-consciousness as such (“I think, therefore I ”). This separation of self and consciousness and the rejection of the self as simply self-consciousness provide the frework for Sartre’s greatest philosophical treatise, L’être et le néant (Being and Nothingness, 1943). Its structure is unabashedly Cartesian, consciousness (“being-for-itself” or pour soi) on the one side, the existence of mere things (“being-in-itself” or en soi) on the other. (The phraseology comes from Hegel.) But Sartre does not fall into the Cartesian trap of designating these two types of being as separate “substances.” Instead, Sartre describes consciousness as “nothing’ – “not a thing” but an activity, “a wind blowing from nowhere toward the world.” Sartre often resorts to visceral metaphors when developing this theme (e.g., “a worm coiled in the heart of being”), but much of what he is arguing is filiar to philosophical readers in the more metaphor-free work of Kant, who also warned against the follies (“paralogisms”) of understanding consciousness as itself a (possible) object of consciousness rather than as the activity of constituting the objects of consciousness. (As the lens of a cera can never see itself – and in a mirror only sees a reflection of itself – conSapir-Whorf hypothesis Sartre, Jean-Paul 812    812 sciousness can never view itself as consciousness and is only aware of itself – “for itself” – through its experience of objects.) Ontologically, one might think of “nothingness” as “no-thing-ness,” a much less outrageous suggestion than those that would make it an odd sort of a thing. It is through the nothingness of consciousness and its activities that negation comes into the world, our ability to imagine the world other than it is and the inescapable necessity of imagining ourselves other than we seem to be. And because consciousness is nothingness, it is not subject to the rules of causality. Central to the argument of L’être et le néant and Sartre’s insistence on the primacy of human freedom is his insistence that consciousness cannot be understood in causal terms. It is always self-determining and, as such, “it always is what it is not, and is not what it is” – a playful paradox that refers to the fact that we are always in the process of choosing. Consciousness is “nothing,” but the self is always on its way to being something. Throughout our lives we accumulate a body of facts that are true of us – our “facticity” – but during our lives we remain free to envision new possibilities, to reform ourselves and to reinterpret our facticity in the light of new projects and bitions – our “transcendence.” This indeterminacy means that we can never be anything, and when we try to establish ourselves as something particular – whether a social role (policeman, waiter) or a certain character (shy, intellectual, cowardly) – we are in “bad faith.” Bad faith is erroneously viewing ourselves as something fixed and settled (Sartre utterly rejects Freud and his theory of the unconscious determination of our personalities and behavior), but it is also bad faith to view oneself as a being of infinite possibilities and ignore the always restrictive facts and circumstances within which all choices must be made. On the one hand, we are always trying to define ourselves; on the other hand we are always free to break away from what we are, and always responsible for what we have made of ourselves. But there is no easy resolution or “balance” between facticity and freedom, rather a kind of dialectic or tension. The result is our frustrated desire to be God, to be both in-itself and for-itself. But this is not so much blasphemy as an expression of despair, a form of ontological original sin, the impossibility of being both free and what we want to be. Life for Sartre is yet more complicated. There is a third basic ontological category, on a par with the being-in-itself and being-for-itself and not derivative of them. He calls it “being-for-others.” To say that it is not derivative is to insist that our knowledge of others is not inferred, e.g. by some argument by analogy, from the behavior of others, and we ourselves are not wholly constituted by our self-determinations and the facts about us. Sartre gives us a brutal but filiar everyday exple of our experience of being-for-others in what he calls “the look” (le regard). Someone catches us “in the act” of doing something humiliating, and we find ourselves defining ourselves (probably also resisting that definition) in their terms. In his Saint Genet (1953), Sartre describes such a conversion of the ten-year-old Jean Genet into a thief. So, too, we tend to “catch” one another in the judgments we make and define one another in terms that are often unflattering. But these judgments become an essential and ineluctible ingredient in our sense of ourselves, and they too lead to conflicts indeed, conflicts so basic and so frustrating that in his play Huis clos (No Exit, 1943) Sartre has one of his characters utter the fous line, “Hell is other people.” In his later works, notably his Critique of Dialectical Reason (1958–59), Sartre turned increasingly to politics and, in particular, toward a defense of Marxism on existentialist principles. This entailed rejecting materialist determinism, but it also required a new sense of solidarity (or what Sartre had wistfully called, following Heidegger, Mitsein or “being with others”). Thus in his later work he struggled to find a way of overcoming the conflict and insularity or the rather “bourgeois” consciousness he had described in Being and Nothingness. Not surprisingly (given his constant political activities) he found it in revolutionary engagement. Consonant with his rejection of bourgeois selfhood, Sartre turned down the 1964 Nobel prize for literature. 

sat/chit/ananda, also saccidananda, three Sanskrit terms combined to refer to the Highest Reality as ‘existence, intelligence, bliss’. The later thinkers of Advaita Vedanta, such as Shankara, used the term to denote the Absolute, Brahman, a state of oneness of being, of pure consciousness and of absolute value or freedom. These are not to be taken as attributes or accidents that qualify Brahman but terms that express its essential nature as experienced by human beings. Sat (being, existence) is also saty (truth), affirming that Brahman is experienced as being itself, not a being over against another. Chit is pure consciousness, sat/chit/ananda sat/chit/ananda 813    813 consciousness without object, and ananda is the experience of unlimited freedom and universal potentiality as well as satisfaction and the bliss that transcends both all that is pleasurable in the world and release from the bondage of ssara. Hindu theists understand sat/chit/ananda as the qualities of the supreme god.  ADVAITA, BRAHMAN, VEDANTA. R.N.Mi. satisfaction, an auxiliary semantic notion introduced by Tarski in order to give a recursive definition of truth for languages containing quantifiers. Intuitively, the satisfaction relation holds between formulas containing free variables (such as ‘Building(x) & Tall(x)’) and objects or sequences of objects (such as the Empire State Building) if and only if the formula “holds of” or “applies to” the objects. Thus, ‘Building(x) & Tall(x)’, is satisfied by all and only tall buildings, and ‘-Tall(x1) & Taller(x1, x2)’ is satisfied by any pair of objects in which the first object (corresponding to ‘x1’) is not tall, but nonetheless taller than the second (corresponding to ‘x2’). Satisfaction is needed when defining truth for languages with sentences built from formulas containing free variables, because the notions of truth and falsity do not apply to these “open” formulas. Thus, we cannot characterize the truth of the sentences ‘Dx (Building(x) & Tall(x))’ (‘Some building is tall’) in terms of the truth or falsity of the open formula ‘Building(x) & Tall(x)’, since the latter is neither true nor false. But note that the sentence is true if and only if the formula is satisfied by some object. Since we can give a recursive definition of the notion of satisfaction for (possibly open) formulas, this enables us to use this auxiliary notion in defining truth.  SEMANTIC PARADOXES, TARSKI, TRUTH. J.Et. satisfaction conditions.SEARLE. satisfiable, having a common model, a structure in which all the sentences in the set are true; said of a set of sentences. In modern logic, satisfiability is the semantic analogue of the syntactic, proof-theoretic notion of consistency, the unprovability of any explicit contradiction. The completeness theorem for first-order logic, that all valid sentences are provable, can be formulated in terms of satisfiability: syntactic consistency implies satisfiability. This theorem does not necessarily hold for extensions of first-order logic. For any sound proof system for secondorder logic there will be an unsatisfiable set of sentences without there being a formal derivation of a contradiction from the set. This follows from Gödel’s incompleteness theorem. One of the central results of model theory for first-order logic concerns satisfiability: the compactness theorem, due to Gödel in 1936, says that if every finite subset of a set of sentences is satisfiable the set itself is satisfiable. It follows immediately from his completeness theorem for first-order logic, and gives a powerful method to prove the consistency of a set of sentences. 
COMPACTNESS THEOREM, COMPLETENESS, GÖDEL’S INCOMPLETENESS THEOREMS, MODEL THEORY, PROOF THEORY. Z.G.S. satisfice, to choose or do the good enough rather than the most or the best. ‘Satisfice’, an obsolete variant of ‘satisfy’, has been adopted by economist Herbert Simon and others to designate nonoptimizing choice or action. According to some economists, limitations of time or information may make it impossible or inadvisable for an individual, firm, or state body to attempt to maximize pleasure, profits, market share, revenues, or some other desired result, and satisficing with respect to such results is then said to be rational, albeit less than ideally rational. Although many orthodox economists think that choice can and always should be conceived in maximizing or optimizing terms, satisficing models have been proposed in economics, evolutionary biology, and philosophy. Biologists have sometimes conceived evolutionary change as largely consisting of “good enough” or satisficing adaptations to environmental pressures rather than as proceeding through optimal adjustments to such pressures, but in philosophy, the most frequent recent use of the idea of satisficing has been in ethics and rational choice theory. Economists typically regard satisficing as acceptable only where there are unwanted constraints on decision making; but it is also possible to see satisficing as entirely acceptable in itself, and in the field of ethics, it has recently been argued that there may be nothing remiss about moral satisficing, e.g., giving a good ount to charity, but less than one could give. It is possible to formulate satisficing forms of utilitarianism on which actions are morally right (even) if they contribute merely positively and/or in some large way, rather than maximally, to overall net human happiness. Benth’s original formulation of the principle of utility and Popper’s negative utilitarianism are both exples of satisficing utilitarianism in this sense – and it should be noted that satisficing utilitarianism has the putative advantage over satisfaction satisfice 814    814 optimizing forms of allowing for supererogatory degrees of moral excellence. Moreover, any moral view that treats moral satisficing as permissible makes room for moral supererogation in cases where one optimally goes beyond the merely acceptable. But since moral satisficing is less than optimal moral behavior, but may be more meritorious than certain behavior that (in the se circumstances) would be merely permissible, some moral satisficing may actually count as supererogatory. In recent work on rational individual choice, some philosophers have argued that satisficing may often be acceptable in itself, rather than merely second-best. Even Simon allows that an entrepreneur may simply seek a satisfactory return on investment or share of the market, rather than a maximum under one of these headings. But a number of philosophers have made the further claim that we may sometimes, without irrationality, turn down the readily available better in the light of the goodness and sufficiency of what we already have or are enjoying. Independently of the costs of taking a second dessert, a person may be entirely satisfied with what she has eaten and, though willing to admit she would enjoy that extra dessert, turn it down, saying “I’m just fine as I .” Whether such exples really involve an acceptable rejection of the (momentarily) better for the good enough has been disputed. However, some philosophers have gone on to say, even more strongly, that satisficing can sometimes be rationally required and optimizing rationally unacceptable. To keep on seeking pleasure from food or sex without ever being thoroughly satisfied with what one has enjoyed can seem compulsive and as such less than rational. If one is truly rational about such goods, one isn’t insatiable: at some point one has had enough and doesn’t want more, even though one could obtain further pleasure. The idea that satisficing is sometimes a requirement of practical reason is reminiscent of Aristotle’s view that moderation is inherently reasonable – rather than just a necessary means to later enjoyments and the avoidance of later pain or illness, which is the way the Epicureans conceived moderation. But perhaps the greatest advocate of satisficing is Plato, who argues in the Philebus that there must be measure or limit to our (desire for) pleasure in order for pleasure to count as a good thing for us. Insatiably to seek and obtain pleasure from a given source is to gain nothing good from it. And according to such a view, satisficing moderation is a necessary precondition of human good and flourishing, rather than merely being a rational restraint on the accumulation of independently conceived personal good or well-being.  DECISION THEORY, HEDONISM, RATIONALITY, UTILITARIANISM. M.A.Sl. saturated.FREGE. Saussure, Ferdinand de (1857–1913), Swiss linguist and founder of the school of structural linguistics. His work in linguistics was a major influence on the later development of French structuralist philosophy, as well as structural anthropology, structuralist literary criticism, and modern semiology. He pursued studies in linguistics largely under Georg Curtius at the University of Leipzig, along with such future Junggrmatiker (neogrmarians) as Leskien and Brugmann. Following the publication of his important Mémoire sur le système primitif des voyelles dans les langues indo-européenes (1879), Saussure left for Paris, where he associated himself with the Société Linguistique and taught comparative grmar. In 1891, he returned to Switzerland to teach Sanskrit, comparative grmar, and general linguistics at the University of Geneva. His major work, the Course in General Linguistics (1916), was assembled from students’ notes and his original lecture outlines after his death. The Course in General Linguistics argued against the prevalent historical and comparative philological approaches to language by advancing what Saussure termed a scientific model for linguistics, one borrowed in part from Durkheim. Such a model would take the “social fact” of language (la langue) as its object, and distinguish this from the variety of individual speech events (la parole), as well as from the collectivity of speech events and grmatical rules that form the general historical body of language as such (le langage). Thus, by separating out the unique and accidental elements of practiced speech, Saussure distinguished language (la langue) as the objective set of linguistic elements and rules that, taken as a system, governs the language use specific to a given community. It was the systematic coherency and generality of language, so conceived, that inclined Saussure to approach linguistics principally in terms of its static or synchronic dimension, rather than its historical or diachronic dimension. For Saussure, the system of language is a “treasury” or “depository” of signs, and the basic unit of the linguistic sign is itself two-sided, having both a phonemic component (“the signifier”) and a semantic component (“the signified”). He terms saturated Saussure, Ferdinand de 815    815 the former the “acoustical” or “sound” image – which may, in turn, be represented graphically, in writing – and the latter the “concept” or “meaning.” Saussure construes the signifier to be a representation of linguistic sounds in the imagination or memory, i.e., a “psychological phenomenon,” one that corresponds to a specifiable range of material phonetic sounds. Its distinctive property consists in its being readily differentiated from other signifiers in the particular language. It is the function of each signifier, as a distinct entity, to convey a particular meaning – or “signified” concept – and this is fixed purely by conventional association. While the relation between the signifier and signified results in what Saussure terms the “positive” fact of the sign, the sign ultimately derives its linguistic value (its precise descriptive determination) from its position in the system of language as a whole, i.e., within the paradigmatic and syntagmatic relations that structurally and functionally differentiate it. Signifiers are differentially identified; signifiers are arbitrarily associated with their respective signified concepts; and signs assume the determination they do only through their configuration within the system of language as a whole: these facts enabled Saussure to claim that language is largely to be understood as a closed formal system of differences, and that the study of language would be principally governed by its autonomous structural determinations. So conceived, linguistics would be but a part of the study of social sign systems in general, nely, the broader science of what Saussure termed semiology. Saussure’s insights would be taken up by the subsequent Geneva, Prague, and Copenhagen schools of linguistics and by the Russian formalists, and would be further developed by the structuralists in France and elsewhere, as well as by recent semiological approaches to literary criticism, social anthropology, and psychoanalysis.  MEANING, PHILOSOPHY OF LANGUAGE, STRUCTURALISM, THEORY OF SIGNS. D.Al. scalar implicature.IMPLICATURE. scepticism.SKEPTICISM. Schadenfreude.
VALUE. Scheler, Max (1874–1928), German phenomenologist, social philosopher, and sociologist of knowledge. Born in Munich, he studied in Jena; when he returned to Munich in 1907 he ce in contact with phenomenology, especially the realist version of the early Husserl and his Munich School followers. Scheler’s first works were phenomenological studies in ethics leading to his ultimate theory of value: he described the moral feelings of sympathy and resentment and wrote a criticism of Kantian formalism and rationalism, Formalism in Ethics and a Non-Formal Ethics of Value (1913). During the war, he was an ardent nationalist and wrote essays in support of the war that were also philosophical criticisms of modern culture, opposed to “Anglo-Saxon” naturalism and rational calculation. Although he later embraced a broader notion of community, such criticisms of modernity remained constant themes of his writings. His conversion to Catholicism after the war led him to apply phenomenological description to religious phenomena and feelings, and he later turned to themes of anthropology and natural science. The core of Scheler’s phenomenological method is his conception of the objectivity of essences, which, though contained in experience, are a priori and independent of the knower. For Scheler, values are such objective, though non-Platonic, essences. Their objectivity is intuitively accessible in immediate experience and feelings, as when we experience beauty in music and do not merely hear certain sounds. Scheler distinguished between valuations or value perspectives on the one hand, which are historically relative and variable, and values on the other, which are independent and invariant. There are four such values, the hierarchical organization of which could be both immediately intuited and established by various public criteria like duration and independence: pleasure, vitality, spirit, and religion. Corresponding to these values are various personalities who are not creators of value but their discoverers, historical disclosers, and exemplars: the “artist of consumption,” the hero, the genius, and the saint. A similar hierarchy of values applies to forms of society, the highest of which is the church, or a Christian community of solidarity and love. Scheler criticizes the leveling tendencies of liberalism for violating this hierarchy, leading to forms of resentment, individualism, and nationalism, all of which represent the false ordering of values.  HUSSERL, KANT, NATURALISM, PHENOMENOLOGY. J.Bo. Schelling, Friedrich Wilhelm Joseph (1775– 1854), German philosopher whose metorscalar implicature Schelling, Friedrich Wilhelm Joseph 816    816 phoses encompass the entire history of German idealism. A Schwabian, Schelling first studied at Tübingen, where he befriended Hölderlin and Hegel. The young Schelling was an enthusiastic exponent of Fichte’s Wissenschaftslehre and devoted several early essays to its exposition. After studying science and mathematics at Leipzig, he joined Fichte at Jena in 1798. Meanwhile, in such writings as Philosophische Briefe über Dogmatismus und Kritizismus (“Philosophical Letters on Dogmatism and Criticism,” 1795), Schelling betrayed growing doubts concerning Fichte’s philosophy (above all, its treatment of nature) and a lively interest in Spinoza. He then turned to constructing a systematic Naturphilosophie (philosophy of nature) within the context of which nature would be treated more holistically than by either Newtonian science or transcendental idealism. Of his many publications on this topic, two of the more important are Ideen zu einer Philosophie der Natur (“Ideas concerning a Philosophy of Nature,” 1797) and Von der Weltseele (“On the World-Soul,” 1798). Whereas transcendental idealism attempts to derive objective experience from an initial act of free self-positing, Schelling’s philosophy of nature attempts to derive consciousness from objects. Beginning with “pure objectivity,” the Naturphilosophie purports to show how nature undergoes a process of unconscious self-development, culminating in the conditions for its own self-representation. The method of Naturphilosophie is fundentally a priori: it begins with the concept of the unity of nature and accounts for its diversity by interpreting nature as a system of opposed forces or “polarities,” which manifest themselves in ever more complex levels of organization (Potenzen). At Jena, Schelling ce into contact with Tieck, Novalis, and the Schlegel brothers and bece interested in art. This new interest is evident in his System des transzendentalen Idealismus (1800), which describes the path from pure subjectivity (self-consciousness) to objectivity (the necessary positing of the Not-I, or of nature). The most innovative and influential portion of this treatise, which is otherwise closely modeled on Fichte’s Wissenschaftslehre, is its conclusion, which presents art as the concrete accomplishment of the philosophical task. In aesthetic experience the identity between the subjective and the objective, the ideal and the real, becomes an object to the experiencing I itself. For Schelling, transcendental idealism and Naturphilosophie are two complementary sides or subdivisions of a larger, more encompassing system, which he dubbed the System of Identity or Absolute Idealism and expounded in a series of publications, including the Darstellung meines Systems der Philosophie (“Presentation of My System of Philosophy,” 1801), Bruno (1802), and Vorlesungen über die Methode des akademischen Studiums (“Lectures on the Method of Academic Study,” 1803). The most distinctive feature of this system is that it begins with a bald assertion of the unity of thought and being, i.e., with the bare idea of the self-identical “Absolute,” which is described as the first presupposition of all knowledge. Since the identity with which this system commences transcends every conceivable difference, it is also described as the “point of indifference.” From this undifferentiated or “indifferent” starting point, Schelling proceeds to a description of reality as a whole, considered as a differentiated system within which unity is maintained by various synthetic relationships, such as substance and attribute, cause and effect, attraction and repulsion. Like his philosophy of nature, Schelling’s System of Identity utilizes the notion of various hierarchically related Potenzen as its basic organizing principle. The obvious question concerns the precise relationship between the “indifferent” Absolute and the real system of differentiated elements, a question that may be said to have set the agenda for Schelling’s subsequent philosophizing. From 1803 to 1841 Schelling was in Bavaria, where he continued to expound his System of Identity and to explore the philosophies of art and nature. The most distinctive feature of his thought during this period, however, was a new interest in religion and in the theosophical writings of Boehme, whose influence is prominent in the Philosophische Untersuchungen über das Wesen der menschlichen Freiheit (“Philosophical Investigations concerning the Nature of Human Freedom,” 1809), a work often interpreted as anticipating existentialism. He also worked on a speculative interpretation of human history, Die Weltalter, which remained unpublished, and lectured regularly on the history of philosophy. In 1841 Schelling moved to Berlin, where he lectured on his new philosophy of revelation and mythology, which he now characterized as “positive philosophy,” in contradistinction to the purely “negative” philosophy of Kant, Fichte, and Hegel. Some scholars have interpreted these posthumously published lectures as representing the culmination both of Schelling’s own protracted philosophical development and of German idealism as a whole.  FICHTE, HEGEL, KANT. D.Br. Schelling, Friedrich Wilhelm Joseph Schelling, Friedrich Wilhelm Joseph 817    817 schema.THEMA. schemata.KANT. schematic form.LOGICAL FORM. scheme, also schema (plural: schemata), a metalinguistic fre or template used to specify an infinite set of sentences, its instances, by finite means, often taken with a side condition on how its blanks or placeholders are to be filled. The sentence ‘Either Abe argues or it is not the case that Abe argues’ is an instance of the excluded middle scheme for English: ‘Either . . . or it is not the case that . . .’, where the two blanks are to be filled with one and the se (well-formed declarative) English sentence. Since first-order number theory cannot be finitely axiomatized, the mathematical induction scheme is used to effectively specify an infinite set of axioms: ‘If zero is such that . . . and the successor of every number such that . . . is also such that . . . , then every number is such that . . .’, where the four blanks are to be filled with one and the se arithmetic open sentence, such as ‘it precedes its own successor’ or ‘it is finite’. ong the best-known is Tarski’s scheme T: ‘. . . is a true sentence if and only if . . .’, where the second blank is filled with a sentence and the first blank by a ne of the sentence.  CONVENTION T, LOGICAL FORM, METALANGUAGE, OPEN FORMULA, PHILOSOPHY OF MATHEMATICS, TARSKI. J.Cor. Schiller, Johann Christoph Friedrich von (1759– 1805), German poet, dratist, and philosopher. Along with his colleagues Reinhold and Fichte, he participated in systematically revising Kant’s transcendental idealism. Though Schiller’s bestknown theoretical contributions were to aesthetics, his philosophical bitions were more general, and he proposed a novel solution to the problem of the systematic unity, not merely of the critical philosophy, but of human nature. His most substantial philosophical work, Briefe über die äesthetische Erziehung des Menschen (“Letters on the Aesthetic Education of Man,” 1794/95), exines the relationship between natural necessity and practical freedom and addresses two problems raised by Kant: How can a creature governed by natural necessity and desire ever become aware of its own freedom and thus capable of autonomous moral action? And how can these two sides of human nature – the natural, sensuous side and the rational, supersensuous one – be reconciled? In contradistinction both to those who subordinate principles to feelings (“savages”) and to those who insist that one should strive to subordinate feelings to principles (“barbarians”), Schiller posited an intermediary realm between the sphere of nature and that of freedom, as well as a third basic human drive capable of mediating between sensuous and rational impulses. This third impulse is dubbed the “play impulse,” and the intermediary sphere to which it pertains is that of art and beauty. By cultivating the play impulse (i.e., via “aesthetic education”) one is not only freed from bondage to sensuality and granted a first glimpse of one’s practical freedom, but one also becomes capable of reconciling the rational and sensuous sides of one’s own nature. This idea of a condition in which opposites are simultaneously cancelled and preserved, as well as the specific project of reconciling freedom and necessity, profoundly influenced subsequent thinkers such as Schelling and Hegel and contributed to the development of German idealism.  FICHTE, IDEALISM, KANT, NEO-KANTIANISM, SCHELLING. D.Br. Schlegel, Friedrich von (1772–1829), German literary critic and philosopher, one of the principal representatives of German Romanticism. In On the Study of Greek Poetry (1795), Schlegel laid the foundations for the distinction of classical and Romantic literature and a pronounced consciousness of literary modernity. Together with his brother August Wilhelm, he edited the Athenaeum (1798–1800), the main theoretical organ of German Romanticism, fous for its collection of fragments as a new means of critical communication. Schlegel is the originator of the Romantic theory of irony, a non-dialectical form of philosophizing and literary writing that takes its inspiration from Socratic irony and combines it with Fichte’s thought process of affirmation and negation, “self-creation” and “self-annihilation.” Closely connected wih Schlegel’s theory of irony is his theory of language and understanding (hermeneutics). Critical reflection on language promotes an ironic awareness of the “necessity and impossibility of complete communication” (Critical Fragments, No. 108); critical reflection on understanding reveals the ount of incomprehensibility, of “positive not-understanding” involved in every act of understanding (On Incomprehensibility, 1800). Schlegel’s writings were essential for the rise of historical consciousness in German Romanticism. His On Ancient and Modern Literature (1812) is reputed to represent the first literary history in a modern and broadly comparative fashion. His Philosophy of History (1828), together with his Philosophy of Life (1828) schema Schlegel, Friedrich von 818    818 and Philosophy of Language (1829), confront Hegel’s philosophy from the point of view of a Christian and personalistic type of philosophizing. Schlegel converted to Catholicism in 1808.  FICHTE. E.Beh. Schleiermacher, Friedrich (1768–1834), German philosopher, a “critical realist” working ong post-Kantian idealists. In philosophy and science he presupposed transcendental features, noted in his dialectic lectures, and advocated integrative but historically contingent, empirical functions. Both develop, but, contra Hegel, not logically. Schleiermacher was a creator of modern general hermeneutics; a father of modern theological and religious studies; an advocate of women’s rights; the cofounder, with Humboldt, of the University at Berlin (1808–10), where he taught until 1834; and the classic translator of Plato into German. Schleiermacher has had an undeservedly minor place in histories of philosophy. Appointed chiefly to theology, he published less philosophy, though he regularly lectured, in tightly argued discourse, in Greek philosophy, history of philosophy, dialectic, hermeneutics and criticism, philosophy of mind (“psychology”), ethics, politics, aesthetics, and philosophy of education. From the 1980s, his collected writings and large correspondence began to appear in a forty-volume critical edition and in the larger Schleiermacher Studies and Translations series. Brilliant, newly available pieces from his twenties on freedom, the highest good, and values, previously known only in fragments but essential for understanding his views fully, were ong the first to appear. Much of his outlook was formed before he bece prominent in the early Romantic circle (1796–1806), distinguishable by his markedly religious, consistently liberal views.  HERMENEUTICS. T.N.T. Schlick, Moritz.VIENNA CIRCLE. Scholasticism, a set of scholarly and instructional techniques developed in Western European schools of the late medieval period, including the use of commentary and disputed question. ‘Scholasticism’ is derived from Latin scholasticus, which in the twelfth century meant the master of a school. The Scholastic method is usually presented as beginning in the law schools – notably at Bologna – and as being then transported into theology and philosophy by a series of masters including Abelard and Peter Lombard. Within the new universities of the thirteenth century the standardization of the curriculum and the enormous prestige of Aristotle’s work (despite the suspicion with which it was initially greeted) contributed to the entrenchment of the method and it was not until the educational reforms of the beginning of the sixteenth century that it ceased to be dominant. There is, strictly speaking, no such thing as Scholasticism. As the term was originally used it presupposed that a single philosophy was taught in the universities of late medieval Europe, but there was no such philosophy. The philosophical movements working outside the universities in the late sixteenth and early seventeenth centuries and the “neo-Scholastics” of the late nineteenth and early twentieth centuries all found such a presupposition useful, and their influence led scholars to assume it. At first this generated efforts to find a common core in the philosophies taught in the late medieval schools. More recently it has led to efforts to find methods characteristic of their teaching, and to an extension of the term to the schools of late antiquity and of Byzantium. Both ong the opponents of the schools in the seventeenth century and ong the “neoScholastics,” ‘Scholasticism’ was supposed to designate a doctrine whose core was the doctrine of substance and accidents. As portrayed by Descartes and Locke, the Scholastics accepted the view that ong the components of a thing were a substantial form and a number of real accidental forms, many of which corresponded to perceptible properties of the thing – its color, shape, temperature. They were also supposed to have accepted a sharp distinction between natural and unnatural motion.  NEO-SCHOLASTICISM. C.G.Norm. Scholastic method.SCHOLASTICISM. School of Laws.CHINESE LEGALISM. School of Nes, also called, in Chinese, ming chia, a loosely associated group of Chinese philosophers of the Warring States period (403– 221 B.C.), also known as pien che (Dialecticians or Sophists). The most fous were Hui Shih and Kung-sun Lung Tzu. Though interested in the relation between nes and reality, the Sophists addressed such issues as relativity, perspectivism, space, time, causality, essentialism, universalism, and particularism. Perhaps more important than their subject matter, however, was their methodology. As their ne suggests, the Sophists Schleiermacher, Friedrich School of Nes 819    819 delighted in language ges and logical puzzles. They used logic and rational argument not only as a weapon to defeat their philosophical opponents but as a tool to sharpen rational argumentation itself. Paradoxes such as ‘I go to Yüeh today but arrive yesterday’ and ‘A white horse is not a horse’ continue to stimulate philosophical discussion today. Yet frustrated Confucian, Taoist, and Legalist contemporaries chided Sophists for wasting their time on abstractions and puzzles, and for succumbing to intellectualism for its own sake. As Confucianism emerged to become the state ideology, the School of Nes disappeared sometime in the early Han dynasty (206 B.C.–A.D. 220); having been in important measure co-opted by the leading interpreter of Confucianism of the period, Hsün Tzu.  CHINESE PHILOSOPHY, HSÜN TZU, KUNG-SUN LUNG TZU. R.P.P. & R.T.A. Schopenhauer, Arthur (1788–1860), German philosopher. Born in Danzig and schooled in Germany, France, and England during a welltraveled childhood, he bece acquainted through his novelist mother with Goethe, Schlegel, and the brothers Grimm. He studied medicine at the University of Göttingen and philosophy at the University of Berlin; received the doctorate from the University of Jena in 1813; and lived much of his adult life in Frankfurt, where he died. Schopenhauer’s dissertation, On the Fourfold Root of the Principle of Sufficient Reason (1813), lays the groundwork for all of his later philosophical work. The world of representation (equivalent to Kant’s phenomenal world) is governed by “the principle of sufficient reason”: “every possible object . . . stands in a necessary relation to other objects, on the one hand as determined, on the other as determining” (The World as Will and Representation). Thus, each object of consciousness can be explained in terms of its relations with other objects. The systematic statement of Schopenhauer’s philosophy appeared in The World as Will and Representation (1818). His other works are On Vision and Colors (1815), “On the Will in Nature” (1836), conjoined with “On the Foundation of Morality” in The Two Fundental Problems of Ethics (1841); the second edition of The World as Will and Representation, which included a second volume of essays (1844); an enlarged and revised edition of On the Fourfold Root of the Principle of Sufficient Reason (1847); and Parerga and Paralipomena, a series of essays (1851). These are all consistent with the principal statement of his thought in The World as Will and Representation. The central postulate of Schopenhauer’s system is that the fundental reality is will, which he equates with the Kantian thing-in-itself. Unlike Kant, Schopenhauer contends that one can immediately know the thing-in-itself through the experience of an inner, volitional reality within one’s own body. Every phenomenon, according to Schopenhauer, has a comparable inner reality. Consequently, the term ‘will’ can extend to the inner nature of all things. Moreover, because number pertains exclusively to the phenomenal world, the will, as thing-initself, is one. Nevertheless, different types of things manifest the will to different degrees. Schopenhauer accounts for these differences by invoking Plato’s Ideas (or Forms). The Ideas are the universal prototypes for the various kinds of objects in the phenomenal world. Taken collectively, the Ideas constitute a hierarchy. We usually overlook them in everyday experience, focusing instead on particulars and their practical relationships to us. However, during aesthetic experience, we recognize the universal Idea within the particular; simultaneously, as aesthetic beholders, we become “the universal subject of knowledge.” Aesthetic experience also quiets the will within us. The complete silencing of the will is, for Schopenhauer, the ideal for human beings, though it is rarely attained. Because will is the fundental metaphysical principle, our lives are dominated by willing – and, consequently, filled with struggle, conflict, and dissatisfaction. Inspired by Buddhism, Schopenhauer contends that all of life is suffering, which only an end to desire can permanently eliminate (as opposed to the respite of aesthetic experience). This is achieved only by the saint, who rejects desire in an inner act termed “denial of the will to live.” The saint fully grasps that the se will motivates all phenomena and, recognizing that nothing is gained through struggle and competition, achieves “resignation.” Such a person achieves the ethical ideal of all religions – compassion toward all beings, resulting from the insight that all are, fundentally, one.  KANT, PLATO. K.M.H. Schröder-Bernstein theorem, the theorem that mutually dominant sets are equinumerous. A set A is said to be dominated by a set B if and only if each element of A can be mapped to a unique element of B in such a way that no two elements of A are mapped to the se element of B (posSchopenhauer, Arthur Schröder-Bernstein theorem 820    820 sibly with some elements of B left over). Intuitively, if A is dominated by B, then B has at least as many members as A. Given this intuition, one would expect that if A is dominated by B and B is dominated by A, then A and B are equinumerous (i.e., A can be mapped to B as described above with no elements of B left over). This is the Schröder-Bernstein theorem. Stated in terms of cardinal numbers, the theorem says that if k m l and l m k, then k % l. Despite the simplicity of the theorem’s statement, its proof is non-trivial.  SET THEORY. P.Mad. Schrödinger, Erwin (1887–1961), Austrian physicist best known for five papers published in 1926, in which he discovered the Schrödinger wave equation and created modern wave mechanics. For this achievement, he was awarded the Nobel prize in physics (shared with Paul Dirac) in 1933. Like Einstein, Schrödinger was a resolute but ultimately unsuccessful critic of the Copenhagen interpretation of quantum mechanics. Schrödinger defended the view (which he derived from Boltzmann) that theories should give a picture, continuous in space and time, of the real processes that produce observable phenomena. Schrödinger’s realistic philosophy of science played an important role in his discovery of wave mechanics. Although his physical interpretation of the psi function was soon abandoned, his approach to quantum mechanics survives in the theories of Louis de Broglie and David Bohm.  QUANTUM MECHANICS. M.C. Schrödinger cat paradox.QUANTUM MECHANICS. Schrödinger equation.QUANTUM MECHANICS. Schulze, Gottlob Ernst (1761–1833), German philosopher today known mainly as an acute and influential early critic of Kant and Reinhold. He taught at Wittenberg, Helmstedt, and Göttingen; one of his most important students was Schopenhauer, whose view of Kant was definitely influenced by Schulze’s interpretation. Schulze’s most important work was his Aenesidemus, or “On the Elementary Philosophy Put Forward by Mr. Reinhold in Jena. Together with a Defense of Skepticism” (1792). It fundentally changed the discussion of Kantian philosophy. Kant’s earliest critics had accused him of being a skeptic like Hume. Kantians, like Reinhold, had argued that critical philosophy was not only opposed to skepticism, but also contained the only possible refutation of skepticism. Schulze tried to show that Kantianism could not refute skepticism, construed as the doctrine that doubts the possibility of any knowledge concerning the existence or non-existence of “things-in-themselves,” and he argued that Kant and his followers begged the skeptic’s question by presupposing that such things exist and causally interact with us. Schulze’s Aenesidemus had a great impact on Fichte and Hegel, and it also influenced neoKantianism. M.K. science, philosophy of.PHILOSOPHY OF SCIENCE. scientia media.MIDDLE KNOWLEDGE. scientia universalis.LEIBNIZ. scientific behaviorism.BEHAVIORISM. scientific determinism.DETERMINISM. scientific realism, the view that the subject matter of scientific research and scientific theories exists independently of our knowledge of it, and that the goal of science is the description and explanation of both observable and unobservable aspects of the world. Scientific realism is contrasted with logical empiricism and social constructivism. Early arguments for scientific realism simply stated that, in light of the impressive products and methods of science, realism is the only philosophy that does not make the success of science a miracle. Formulations of scientific realism focus on the objects of theoretical knowledge: theories, laws, and entities. One especially robust argument for scientific realism (due to Putn and Richard Boyd) is that the instrumental reliability of scientific methodology in the mature sciences (such as physics, chemistry, and some areas of biology) can be explained adequately only if we suppose that theories in the mature sciences are at least approximately true and their central theoretical terms are at least partially referential (Putn no longer holds this view). More timid versions of scientific realism do not infer approximate truth of mature theories. For exple, Ian Hacking’s “entity realism” (1983) asserts that the instrumental manipulation of postulated entities to produce further effects gives us legitimate grounds for ontological commitment to theoretical entities, but not to laws or theories. Paul Humphreys’s “austere realism” (1989) states that only theoretical commitment to unobserved structures or dispositions could Schrödinger, Erwin scientific realism 821    821 explain the stability of observed outcomes of scientific inquiry. Distinctive versions of scientific realism can be found in works by Richard Boyd (1983), Philip Kitcher (1993), Richard Miller (1987), Willi Newton-Smith (1981), and J. D. Trout (1998). Despite their differences, all of these versions of realism are distinguished – against logical empiricism – by their commitment that knowledge of unobservable phenomena is not only possible but actual. As well, all of the arguments for scientific realism are abductive; they argue that either the approximate truth of background theories or the existence of theoretical entities and laws provides the best explanation for some significant fact about the scientific theory or practice. Scientific realists address the difference between real entities and merely useful constructs, arguing that realism offers a better explanation for the success of science. In addition, scientific realism recruits evidence from the history and practice of science, and offers explanations for the success of science that are designed to honor the dynic and uneven character of that evidence. Most arguments for scientific realism cohabit with versions of naturalism. Anti-realist opponents argue that the realist move from instrumental reliability to truth is question-begging. However, realists reply that such formal criticisms are irrelevant; the structure of explanationist arguments is inductive and their principles are a posteriori.  EXPLANATION, METAPHYSICS, PHILOSOPHY OF SCIENCE, SOCIAL CONSTRUCTIVISM. J.D.T. scientific relativism.THEORY-LADEN. scope, the “part” of the sentence (or proposition) to which a given term “applies” under a given interpretation of the sentence. If the sentence ‘Abe does not believe Ben died’ is interpreted as expressing the proposition that Abe believes that it is not the case that Ben died, the scope of ‘not’ is ‘Ben died’; interpreted as “It is not the case that Abe believes that Ben died,” the scope is the rest of the sentence, i.e., ‘Abe believes Ben died’. In the first case we have narrow scope, in the second wide scope. If ‘Every number is not even’ is interpreted with narrow scope, it expresses the false proposition that every number is non-even, which is logically equivalent to the proposition that no number is even. Taken with wide scope it expresses the truth that not every number is even, which is equivalent to the truth that some number is non-even. Under normal interpretations of the sentences, ‘hardened’ has narrow scope in ‘Carl is a hardened recidivist’, whereas ‘alleged’ has wide scope in ‘Dan is an alleged criminal’. Accordingly, ‘Carl is a hardened recidivist’ logically implies ‘Carl is a recidivist’, whereas ‘Dan is an alleged criminal’, being equivalent to ‘Allegedly, Dan is a criminal’, does not imply ‘Dan is a criminal’. Scope considerations are useful in analyzing structural biguity and in understanding the difference between the grmatical form of a sentence and the logical form of a proposition it expresses. In a logically perfect language grmatical form mirrors logical form, there is no scope biguity, and the scope of a given term is uniquely determined by its context.  BIGUITY; CONVERSE; CONVERSE, OUTER AND INNER; RELATION; STRUCTURAL BIGUITY. J.Cor. scope biguity.BIGUITY. scope of operators.BIGUITY, SCOPE. Scotistic realism.DUNS SCOTUS. Scottigena.ERIGENA. Scottish common sense philosophy, a comprehensive philosophical position developed by Reid in the latter part of the eighteenth century. Reid’s views were propagated by a succession of Scottish popularizers, of whom the most successful was Dugald Stewart. Through them common sense doctrine bece nearly a philosophical orthodoxy in Great Britain during the first half of the nineteenth century. Brought to the United States through the colleges in Princeton and Philadelphia, common sensism continued to be widely taught until the later nineteenth century. The early Reidians Beattie and Oswald were, like Reid himself, read in Germany by Kant and others; and Reid’s views were widely taught in post-Napoleonic France. The archenemy for the common sense theorists was Hume. Reid saw in his skepticism the inevitable outcome of Descartes’s thesis, accepted by Locke, that we do not perceive external objects directly, but that the immediate object of perception is something in the mind. Against this he argued that perception involves both sensation and certain intuitively known general truths or principles that together yield knowledge of external objects. He also argued that there are many other intuitively known general principles, including moral principles, available to all normal humans. As a result he scientific relativism Scottish common sense philosophy 822    822 thought that whenever philosophical argument results in conclusions that run counter to common sense, the philosophy must be wrong. Stewart made some changes in Reid’s acute and original theory, but his main achievement was to propagate it through eloquent classes and widely used textbooks. Common sensism, defending the considered views of the ordinary man, was taken by many to provide a defense of the Christian religious and moral status quo. Reid had argued for free will, and presented a long list of self-evident moral axioms. If this might be plausibly presented as part of the common sense of his time, the se could not be said for some of the religious doctrines that Oswald thought equally self-evident. Reid had not given any rigorous tests for what might count as selfevident. The easy intuitionism of later common sensists was a natural target for those who, like J. S. Mill, thought that any appeal to self-evidence was simply a way of justifying vested interest. Whewell, in both his philosophy of science and his ethics, and Sidgwick, in his moral theory, acknowledged debts to Reid and tried to eliminate the abuses to which his method was open. But in doing so they transformed common sensism beyond the limits within which Reid and those shaped by him operated.  HUME, MOORE, REID, SIDGWICK. J.B.S. Scotus, John Duns.DUNS SCOTUS. script.COGNITIVE SCIENCE. sea battle.ARISTOTLE.
Searle, John R. (b.1932), erican philosopher of language and mind (D. Phil., Oxford) influenced by Frege, Wittgenstein, and J. L. Austin; a founder of speech act theory and an important contributor to debates on intentionality, consciousness, and institutional facts. Language.
In Speech Acts: An Essay in the Philosophy of Language (1969), Searle brings together modified versions of Frege’s distinctions between the force (F) and content (P) of a sentence, and between singular reference and predication, Austin’s analysis of speech acts, and Grice’s analysis of speaker meaning.
Searle explores the hypothesis that the semantics of a natural language can be regarded as a conventional realization of underlying constitutive rules and that illocutionary acts are acts performed in accordance with these rules. Expression and Meaning (1979) extends this analysis to non-literal and indirect illocutionary acts, and attempts to explain Donnellan’s referential-attributive distinction in these terms and proposes an influential taxonomy of five basic types of illocutionary acts based on the illocutionary point or purpose of the act, and word-to-world versus world-toword direction of fit. Language and mind. Intentionality: An Essay in the Philosophy of Mind (1983) forms the foundation for the earlier work on speech acts. Now the semantics of a natural language is seen as the result of the mind (intrinsic intentionality) imposing conditions of satisfaction or aboutness on objects (expressions in a language), which have intentionality only derivatively. Perception and action rather than belief are taken as fundental. Satisfaction conditions are essentially Fregean (i.e. general versus singular) and internal – meaning is in the head, relative to a background of non-intentional states, and relative to a network of other intentional states. The philosophy of language becomes a branch of the philosophy of mind. Mind. “Minds, Brains and Progrs” (1980) introduced the fous “Chinese room” argument against strong artificial intelligence – the view that appropriately progrming a machine is sufficient for giving it intentional states. Suppose a monolingual English-speaker is working in a room producing Chinese answers to Chinese questions well enough to mimic a Chinesespeaker, but by following an algorithm written in English. Such a person does not understand Chinese nor would a computer computing the se algorithm. This is true for any such algorithms because they are syntactically individuated and intentional states are semantically individuated. The Rediscovery of the Mind (1992) continues the attack on the thesis that the brain is a digital computer, and develops a non-reductive “biological naturalism” on which intentionality, like the liquidity of water, is a high-level feature, which is caused by and realized in the brain. Society. The Construction of Social Reality (1995) develops his realistic worldview, starting with an independent world of particles and forces, up through evolutionary biological systems capable of consciousness and intentionality, to institutions and social facts, which are created when persons impose status-features on things, which are collectively recognized and accepted.  DIRECTION OF FIT, INTENTIONALScotus, John Duns Searle, John R. 823    823 ITY, MEANING, PHILOSOPHY OF LANGUAGE, SPEECH ACT THEORY. R.M.H. second actualization.ARISTOTLE. secondarily evaluative word.PRESCRIPTIVISM. secondary process.FREUD. secondary qualities.QUALITIES. secondary rule.HART. secondary substance.ARISTOTLE. second imposition.IMPOSITION. second intention.IMPOSITION. second law of thermodynics.ENTROPY. secondness.PEIRCE. second-order.ORDER. second-order logic, the logic of languages that contain, in addition to variables ranging over objects, variables ranging over properties, relations, functions, or classes of those objects. A model, or interpretation, of a formal language usually contains a domain of discourse. This domain is what the language is about, in the model in question. Variables that range over this domain are called first-order variables. If the language contains only first-order variables, it is called a first-order language, and it is within the purview of first-order logic. Some languages also contain variables that range over properties, relations, functions, or classes of members of the domain of discourse. These are second-order variables. A language that contains first-order and second-order variables, and no others, is a secondorder language. The sentence ‘There is a property shared by all and only prime numbers’ is straightforwardly rendered in a second-order language, because of the (bound) variable ranging over properties. There are also properties of properties, relations of properties, and the like. Consider, e.g., the property of properties expressed by ‘P has an infinite extension’ or the relation expressed by ‘P has a smaller extension than Q’. A language with variables ranging over such items is called thirdorder. This construction can be continued, producing fourth-order languages, etc. A language is called higher-order if it is at least second-order. Deductive systems for second-order languages are obtained from those for first-order languages by adding straightforward extensions of the axioms and rules concerning quantifiers that bind first-order variables. There may also be an axiom scheme of comprehension: DPEx(Px S F(x)), one instance for each formula F that does not contain P free. The scheme “asserts” that every formula determines the extension of a property. If the language has variables ranging over functions, there may also be a version of the axiom of choice: ER(ExDyRxy P DfExRxfx). In standard semantics for second-order logic, a model of a given language is the se as a model for the corresponding first-order language. The relation variables range over every relation over the domain-of-discourse, the function variables range over every function from the domain to the domain, etc. In non-standard, or Henkin semantics, each model consists of a domain-ofdiscourse and a specified collection of relations, functions, etc., on the domain. The latter may not include every relation or function. The specified collections are the range of the second-order variables in the model in question. In effect, Henkin semantics regards second-order languages as multi-sorted, first-order languages.  FORMAL LOGIC, FORMAL SEMANTICS, PHILOSOPHY OF LOGIC. S.Sha. second potentiality.ARISTOTLE. second Thomism.THOMISM. secundum quid, in a certain respect, or with a qualification. Fallacies can arise from confusing what is true only secundum quid with what is true simpliciter (‘without qualification’, ‘absolutely’, ‘on the whole’), or conversely. Thus a strawberry is red simpliciter (on the whole). But it is black, not red, with respect to its seeds, secundum quid. By ignoring the distinction, one might mistakenly infer that the strawberry is both red and not red. Again, a certain thief is a good cook, secundum quid; but it does not follow that he is good simpliciter (without qualification). Aristotle was the first to recognize the fallacy secundum quid et simpliciter explicitly, in his Sophistical Refutations. On the basis of some exceptionally enigmatic remarks in the se work, the liar paradox was often regarded in the Middle Ages as an instance of this fallacy.  PARADOX. P.V.S. security strategy.MAXIMIN STRATEGY. seeing, epistemic.DRETSKE. second actualization seeing, epistemic 824    824 seeing, non-epistemic.DRETSKE. selection.PHILOSOPHY OF BIOLOGY. self, bundle theory of.BUNDLE THEORY. self-consciousness.DE DICTO, KNOWLEDGE BY ACQUAINTANCE, PHILOSOPHY OF MIND. self-control.AKRASIA. self-deception, (1) purposeful action to avoid unpleasant truths and painful topics (about oneself or the world); (2) unintentional processes of denial, avoidance, or biased perception; (3) mental states resulting from such action or processes, such as ignorance, false belief, wishful thinking, unjustified opinions, or lack of clear awareness. Thus, parents tend to exaggerate the virtues of their children; lovers disregard clear signs of unreciprocated affection; overeaters rationalize away the need to diet; patients dying of cancer pretend to themselves that their health is improving. In some contexts ‘self-deception’ is neutral and implies no criticism. Deceiving oneself can even be desirable, generating a vital lie that promotes happiness or the ability to cope with difficulties. In other contexts ‘self-deception’ has negative connotations, suggesting bad faith, false consciousness, or what Joseph Butler called “inner hypocrisy” – the refusal to acknowledge our wrongdoing, character flaws, or onerous responsibilities. Existentialist philosophers, like Kierkegaard, Heidegger, and most notably Sartre (Being and Nothingness, 1943), denounced self-deception as an inauthentic (dishonest, cowardly) refusal to confront painful though significant truths, especially about freedom, responsibility, and death. Herbert Fingarette, however, argued that self-deception is morally biguous – neither clearly bleworthy nor clearly faultless – because of how it erodes capacities for acting rationally (Self-Deception, 1969). The idea of intentionally deceiving oneself seems paradoxical. In deceiving other people I usually know a truth that guides me as I state the opposite falsehood, intending thereby to mislead them into believing the falsehood. Five difficulties seem to prevent me from doing anything like that to myself. (1) With interpersonal deception, one person knows something that another person does not. Yet self-deceivers know the truth all along, and so it seems they cannot use it to make themselves ignorant. One solution is that self-deception occurs over time, with the initial knowledge becoming gradually eroded. Or perhaps selfdeceivers only suspect rather than know the truth, and then disregard relevant evidence. (2) If consciousness implies awareness of one’s own conscious acts, then a conscious intention to deceive myself would be self-defeating, for I would remain conscious of the truth I wish to flee. Sartre’s solution was to view self-deception as spontaneous and not explicitly reflected upon. Freud’s solution was to conceive of self-deception as unconscious repression. (3) It seems that self-deceivers believe a truth that they simultaneously get themselves not to believe, but how is that possible? Perhaps they keep one of two conflicting beliefs unconscious or not fully conscious. (4) Self-deception suggests willfully creating beliefs, but that seems impossible since beliefs cannot voluntarily be chosen. Perhaps beliefs can be indirectly manipulated by selectively ignoring and attending to evidence. (5) It seems that one part of a person (the deceiver) manipulates another part (the victim), but such extreme splits suggest multiple personality disorders rather than self-deception. Perhaps we are composed of “subselves” – relatively unified clusters of elements in the personality. Or perhaps at this point we should jettison interpersonal deception as a model for understanding self-deception.  AKRASIA, FREUD, PHILOSOPHY OF MIND. M.W.M. self-determination, the autonomy possessed by a community when it is politically independent; in a strict sense, territorial sovereignty. Within international law, the principle of self-determination appears to grant every people a right to be self-determining, but there is controversy over its interpretation. Applied to established states, the principle calls for recognition of state sovereignty and non-intervention in internal affairs. By providing for the self-determination of subordinate communities, however, it can generate demands for secession that conflict with existing claims of sovereignty. Also, what non-self-governing groups qualify as beneficiaries? The national interpretation of the principle treats cultural or national units as the proper claimants, whereas the regional interpretation confers the right of self-determination upon the populations of well-defined regions regardless of cultural or national affiliations. This difference reflects the roots of the principle in the doctrines of nationalism and popular sovereignty, respectively, but comseeing, non-epistemic self-determination 825    825 plicates its application.  POLITICAL PHILOSOPHY. T.K. self-evidence, the property of being self-evident. Only true propositions (or truths) are self-evident, though false propositions can appear to be self-evident. It is widely held that a true proposition is self-evident if and only if one would be justified in believing it if one adequately understood it. Some would also require that self-evident propositions are known if believed on the basis of such an understanding. Some self-evident propositions are obvious, such as the proposition that all stags are male, but others are not, since it may take considerable reflection to achieve an adequate understanding of them. That slavery is wrong and that there is no knowledge of falsehoods are perhaps exples of the latter. Not all obvious propositions are self-evident, e.g., it is obvious that a stone will fall if dropped, but adequate understanding of that claim does not by itself justify one in believing it. An obvious proposition is one that immediately seems true for anyone who adequately understands it, but its obviousness may rest on wellknown and commonly accepted empirical facts, not on understanding. All analytic propositions are self-evident but not all self-evident propositions are analytic. The propositions that if A is older than B, then B is younger than A, and that no object can be red and green all over at the se time and in the se respects, are arguably self-evident but not analytic. All self-evident propositions are necessary, for one could not be justified in believing a contingent proposition simply in virtue of understanding it. However, not all necessary propositions are self-evident, e.g., that water is H2O and that temperature is the measure of the molecular activity in substances are necessary but not self-evident. A proposition can appear to be selfevident even though it is not. For instance, the proposition that all unmarried adult males are bachelors will appear self-evident to many until they consider that the pope is such a male. A proposition may appear self-evident to some but not to others, even though it must either have or lack the property of being self-evident. Self-evident propositions are knowable non-empirically, or a priori, but some propositions knowable a priori are not self-evident, e.g., certain conclusions of long and difficult chains of mathematical reasoning.  ANALYTIC –SYNTHETIC DISTINCTION, A PRIORI, KANT, NECESSITY, RATIONALISM. B.R. self-interest theory.PARFIT. self-justification.EPISTEMOLOGY. self-love.BUTLER, EGOISM. self-organizing system.COMPUTER THEORY. self-presenting, in the philosophy of Meinong, having the ability – common to all mental states – to be immediately present to our thought. In Meinong’s view, no mental state can be presented to our thought in any other way – e.g., indirectly, via a Lockean “idea of reflection.” The only way to apprehend a mental state is to experience or “live through” it. The experience involved in the apprehension of an external object has thus a double presentational function: (1) via its “content” it presents the object to our thought; (2) as its own “quasi-content” it presents itself immediately to our thought. In the contemporary era, Roderick Chisholm has based his account of empirical knowledge in part on a related concept of the self-presenting. (In Chisholm’s sense – the definition of which we omit here – all self-presenting states are mental, but not conversely; for instance, being depressed because of the death of one’s spouse would not be self-presenting.) In Chisholm’s epistemology, self-presenting states are a source of certainty in the following way: if F is a self-presenting state, then to be certain that one is in state F it is sufficient that one is, and believes oneself to be in state F.  BRENTANO, MEINONG, PHILOSOPHY OF MIND. R.Ke. self-reference, paradoxes of.RUSSELL, TYPE THEORY. self-referential incoherence, an internal defect of an assertion or theory, which it possesses provided that (a) it establishes some requirement that must be met by assertions or theories, (b) it is itself subject to this requirement, and (c) it fails to meet the requirement. The most fous exple is logical positivism’s meaning criterion, which requires that all meaningful assertions be either tautological or empirically verifiable, yet is itself neither. A possible early exple is found in Hume, whose own writings might have been consigned to the fles had librarians followed his counsel to do so with volumes that contain neither “abstract reasoning concerning quantity or number” nor “experimental reasoning concerning matter of fact and existence.” Bold defiself-evidence self-referential incoherence 826    826 ance was shown by Wittgenstein, who, realizing that the propositions of the Tractatus did not “picture” the world, advised the reader to “throw away the ladder after he has climbed up it.” An epistemological exple is furnished by any foundationalist theory that establishes criteria for rational acceptability that the theory itself cannot meet.  HUME, LOGICAL POSITIVISM. W.Has. self-reproducing automaton, a formal model of self-reproduction of a kind introduced by von Neumann. He worked with an intuitive robot model and then with a well-defined cellular automaton model. Imagine a class of robotic automata made of robot parts and operating in an environment of such parts. There are computer parts (switches, memory elements, wires), input-output parts (sensing elements, display elements), action parts (grasping and moving elements, joining and cutting elements), and straight bars (to maintain structure and to employ in a storage tape). There are also energy sources that enable the robots to operate and move around. These five categories of parts are sufficient for the construction of robots that can make objects of various kinds, including other robots. These parts also clearly suffice for making a robot version of any finite automaton. Sensing and acting parts can then be added to this robot so that it can make an indefinitely expandable storage tape from straight bars. (A “blank tape” consists of bars joined in sequence, and the robot stores information on this tape by attaching bars or not at the junctions.) If its finite automaton part can execute progrs and is sufficiently powerful, such a robot is a universal computing robot (cf. a universal Turing machine). A universal computing robot can be augmented to form a universal constructing robot – a robot that can construct any robot, given its description. Let r be any robot with an indefinitely expandable tape, let F(r) be the description of its finite part, and let T(r) be the information on its tape. Now take a universal computing robot and augment it with sensing and acting devices and with progrs so that when F(r) followed by T(r) is written on its tape, this augmented universal computer performs as follows. First, it reads the description F(r), finds the needed parts, and constructs the finite part of r. Second, it makes a blank tape, attaches it to the finite part of r, and then copies the information T(r) from its own tape onto the new tape. This augmentation of a universal computing robot is a universal constructor. For when it starts with the information F(r),T(r) written on its tape, it will construct a copy of r with T(r) on its tape. Robot self-reproduction results from applying the universal constructor to itself. Modify the universal constructor slightly so that when only a description F(r) is written on its tape, it constructs the finite part of r and then attaches a tape with F(r) written on it. Call this version of the universal constructor Cu. Now place Cu’s description F(Cu) on its own tape and start it up. Cu first reads this description and constructs a copy of the finite part of itself in an empty region of the cellular space. Then it adds a blank tape to the new construction and copies F(Cu) onto it. Hence Cu with F(Cu) on its tape has produced another copy of Cu with F(Cu) on its tape. This is automaton self-reproduction. This robot model of self-reproduction is very general. To develop the logic of self-reproduction further, von Neumann first extended the concept of a finite automaton to that of an infinite cellular automaton consisting of an array or “space” of cells, each cell containing the se finite automaton. He chose an infinite checkerboard array for modeling self-reproduction, and he specified a particular twenty-nine-state automaton for each square (cell). Each automaton is connected directly to its four contiguous neighbors, and communication between neighbors takes one or two time-steps. The twenty-nine states of a cell fall into three categories. There is a blank state to represent the passivity of an empty area. There are twelve states for switching, storage, and communication, from which any finite automaton can be constructed in a sufficiently large region of cells. And there are sixteen states for simulating the activities of construction and destruction. Von Neumann chose these twenty-nine states in such a way that an area of non-blank cells could compute and grow, i.e., activate a path of cells out to a blank region and convert the cells of that region into a cellular automaton. A specific cellular automaton is embedded in this space by the selection of the initial states of a finite area of cells, all other cells being left blank. A universal computer consists of a sufficiently powerful finite automaton with a tape. The tape is an indefinitely long row of cells in which bits are represented by two different cell states. The finite automaton accesses these cells by means of a construction arm that it extends back and forth in rows of cells contiguous to the tape. When activated, this finite automaton will execute progrs stored on its tape. self-reproducing automaton self-reproducing automaton 827    827 A universal constructor results from augmenting the universal computer (cf. the robot model). Another construction arm is added, together with a finite automaton controller to operate it. The controller sends signals into the arm to extend it out to a blank region of the cellular space, to move around that region, and to change the states of cells in that region. After the universal constructor has converted the region into a cellular automaton, it directs the construction arm to activate the new automaton and then withdraw from it. Cellular automaton selfreproduction results from applying the universal constructor to itself, as in the robot model. Cellular automata are now studied extensively by humans working interactively with computers as abstract models of both physical and organic systems. (See Arthur W. Burks, “Von Neumann’s Self-Reproducing Automata,” in Papers of John von Neumann on Computers and Computer Theory, edited by Willi Aspray and Arthur Burks, 1987.) The study of artificial life is an outgrowth of computer simulations of cellular automata and related automata. Cellular automata organizations are sometimes used in highly parallel computers.  ARTIFICIAL INTELLIGENCE, ARTIFICIAL LIFE, COMPUTER THEORY, TURING MACHINE. A.W.B. Sellars, Roy Wood.NEW REALISM. Sellars, Wilfrid (1912–89), erican philosopher, son of Roy Wood Sellars, and one of the great systematic philosophers of the century. His most influential and representative works are “Empiricism and the Philosophy of Mind” (1956) and “Philosophy and the Scientific Image of Man” (1960). The Sellarsian system may be outlined as follows. The myth of the given. Thesis (1): Classical empiricism (foundationalism) maintains that our belief in the commonsense, objective world of physical objects is ultimately justified only by the way that world presents itself in sense experience. Thesis (2): It also typically maintains that sense experience (a) is not part of that world and (b) is not a form of conceptual cognition like thinking or believing. Thesis (3): From (1) and (2a) classical empiricism concludes that our knowledge of the physical world is inferred from sense experience. Thesis (4): Since inferences derive knowledge from knowledge, sense experience itself must be a form of knowledge. Theses (1)–(4) collectively are the doctrine of the given. Each thesis taken individually is plausible. However, Sellars argues that (2b) and (4) are incompatible if, as he thinks, knowledge is a kind of conceptual cognition. Concluding that the doctrine of the given is false, he maintains that classical empiricism is a myth. The positive system. From an analysis of theoretical explanation in the physical sciences, Sellars concludes that postulating theoretical entities is justified only if theoretical laws – nomological generalizations referring to theoretical entities – are needed to explain particular observable phenomena for which explanation in terms of exceptionless observation laws is unavailable. While rejecting any classical empiricist interpretation of observation, Sellars agrees that some account of non-inferential knowledge is required to make sense of theoretical explanation thus conceived. He thinks that utterances made in direct response to sensory stimuli (observational reports) count as non-inferential knowledge when (a) they possess authority, i.e., occur in conditions ensuring that they reliably indicate some physical property (say, shape) in the environment and are accepted by the linguistic community as possessing this quality; and (b) the utterer has justified belief that they possess this authority. Sellars claims that some perceptual conditions induce ordinary people to make observation reports inconsistent with established explanatory principles of the commonsense frework. We thus might tend to report spontaneously that an object is green seen in daylight and blue seen indoors, and yet think it has not undergone any process that could change its color. Sellars sees in such conflicting tendencies vestiges of a primitive conceptual frework whose tensions have been partially resolved by introducing the concept of sense experiences. These experiences count as theoretical entities, since they are postulated to account for observational phenomena for which no exceptionless observation laws exist. This exple may serve as a paradigm for a process of theoretical explanation occurring in the frework of commonsense beliefs that Sellars calls the manifest image, a process that itself is a model for his theory of the rational dynics of conceptual change in both the manifest image and in science – the scientific image. Because the actual process of conceptual evolution in Homo sapiens may not fit this pattern of rational dynics, Sellars treats these dynics as occurring within certain hypothetical ideal histories (myths) of the way in which, from certain conSellars, Roy Wood Sellars, Wilfrid 828    828 ceptually primitive beginnings, one might have come to postulate the requisite theoretical explanations. The manifest image, like the proto-theories from which it arose, is itself subject to various tensions ultimately resolved in the scientific image. Because this latter image contains a metaphysical theory of material objects and persons that is inconsistent with that of its predecessor frework, Sellars regards the manifest image as replaced by its successor. In terms of the Peircean conception of truth that Sellars endorses, the scientific image is the only true image. In this sense Sellars is a scientific realist. There is, however, also an important sense in which Sellars is not a scientific realist: despite discrediting classical empiricism, he thinks that the intrinsic nature of sense experience gives to conceptualization more than simply sensory stimulus yet less than the content of knowledge claims. Inspired by Kant, Sellars treats the manifest image as a Kantian phenomenal world, a world that exists as a cognitive construction which, though lacking ideal factual truth, is guided in part by intrinsic features of sense experience. This is not (analytic) phenomenalism, which Sellars rejects. Moreover, the special methodological role for sense experience has effects even within the scientific image itself. Theories of mind, perception, and semantics. Mind: In the manifest image thoughts are private episodes endowed with intentionality. Called inner speech, they are theoretical entities whose causal and intentional properties are modeled, respectively, on inferential and semantic properties of overt speech. They are introduced within a behaviorist proto-theory, the Rylean frework, to provide a theoretical explanation for behavior normally accompanied by linguistically overt reasons. Perception: In the manifest image sense experiences are sense impressions – states of persons modeled on two-dimensional, colored physical replicas and introduced in the theoretical language of the adverbial theory of perception to explain why it can look as if some perceptible quality is present when it is not. Semantics: The meaning of a simple predicate p in a language L is the role played in L by p defined in terms of three sets of linguistic rules: language entry rules, intralinguistic rules, and language departure rules. This account also supports a nominalist treatment of abstract entities. Identification of a role for a token of p in L can be effected demonstratively in the speaker’s language by saying that p in L is a member of the class of predicates playing the se role as a demonstrated predicate. Thus a speaker of English might say that ‘rot’ in German plays the semantic role ‘red’ has in English. Sellars sees science and metaphysics as autonomous strands in a single web of philosophical inquiry. Sellarsianism thus presents an important alternative to the view that what is fundentally real is determined by the logical structure of scientific language alone. Sellars also sees ordinary language as expressing a commonsense frework of beliefs constituting a kind of proto-theory with its own methods, metaphysics, and theoretical entities. Thus, he also presents an important alternative to the view that philosophy concerns not what is ultimately real, but what words like ‘real’ ultimately mean in ordinary language.  EPISTEMOLOGY, METAPHYSICAL REALISM, ORDINARY LANGUAGE PHILOSOPHY. T.V. semantic atomism.SEMANTIC HOLISM. semantic completeness.COMPLETENESS. semantic compositionality.MEANING. semantic consequence.MODAL LOGIC. semantic consistency.CONSISTENCY. semantic holism, a metaphysical thesis about the nature of representation on which the meaning of a symbol is relative to the entire system of representations containing it. Thus, a linguistic expression can have meaning only in the context of a language; a hypothesis can have significance only in the context of a theory; a concept can have intentionality only in the context of the belief system. Holism about content has profoundly influenced virtually every aspect of contemporary theorizing about language and mind, not only in philosophy, but in linguistics, literary theory, artificial intelligence, psychology, and cognitive science. Contemporary semantic holists include Davidson, Quine, Gilbert Harman, Hartry Field, and Searle. Because semantic holism is a metaphysical and not a semantic thesis, two theorists might agree about the semantic facts but disagree about semantic holism. So, e.g., nothing in Tarski’s writings determines whether the semantic facts expressed by the theorems of an absolute truth semantic atomism semantic holism 829    829 theory are holistic or not. Yet Davidson, a semantic holist, argued that the correct form for a semantic theory for a natural language L is an absolute truth theory for L. Semantic theories, like other theories, need not wear their metaphysical commitments on their sleeves. Holism has some startling consequences. Consider this. Franklin D. Roosevelt (who died when the United States still had just forty-eight states) did not believe there were fifty states, but I do; semantic holism says that what ‘state’ means in our mouths depends on the totality of our beliefs about states, including, therefore, our beliefs about how many states there are. It seems to follow that he and I must mean different things by ‘state’; hence, if he says “Alaska is not a state” and I say “Alaska is a state” we are not disagreeing. This line of argument leads to such surprising declarations as that natural langauges are not, in general, intertranslatable (Quine, Saussure); that there may be no fact of the matter about the meanings of texts (Putn, Derrida); and that scientific theories that differ in their basic postulates are “empirically incommensurable” (Paul Feyerabend, Kuhn). For those who find these consequences of semantic holism unpalatable, there are three mutually exclusive responses: semantic atomism, semantic molecularism, or semantic nihilism. Semantic atomists hold that the meaning of any representation (linguistic, mental, or otherwise) is not determined by the meaning of any other representation. Historically, Anglo-erican philosophers in the eighteenth and nineteenth centuries thought that an idea of an X was about X’s in virtue of this idea’s physically resembling X’s. Resemblance theories are no longer thought viable, but a number of contemporary semantic atomists still believe that the basic semantic relation is between a concept and the things to which it applies, and not one ong concepts themselves. These philosophers include Dretske, Dennis Stpe, Fodor, and Ruth Millikan. Semantic molecularism, like semantic holism, holds that the meaning of a representation in a language L is determined by its relationships to the meanings of other expressions in L, but, unlike holism, not by its relationships to every other expression in L. Semantic molecularists are committed to the view, contrary to Quine, that for any expression e in a language L there is an in-principle way of distinguishing between those representations in L the meanings of which determine the meaning of e and those representations in L the meanings of which do not determine the meaning of e. Traditionally, this inprinciple delimitation is supported by an analytic/synthetic distinction. Those representations in L that are meaning-constituting of e are analytically connected to e and those that are not meaning-constituting are synthetically connected to e. Meaning molecularism seems to be the most common position ong those philosophers who reject holism. Contemporary meaning molecularists include Michael Devitt, Dummett, Ned Block, and John Perry. Semantic nihilism is perhaps the most radical response to the consequences of holism. It is the view that, strictly speaking, there are no semantic properties. Strictly speaking, there are no mental states; words lack meanings. At least for scientific purposes (and perhaps for other purposes as well) we must abandon the notion that people are moral or rational agents and that they act out of their beliefs and desires. Semantic nihilists include ong their ranks Patricia and Paul Churchland, Stephen Stich, Dennett, and, sometimes, Quine.  ANALYTIC–SYNTHETIC DISTINCTION, MEANING, PHILOSOPHY OF MIND. E.L. semantic molecularism.SEMANTIC HOLISM. semantic nihilism.SEMANTIC HOLISM. semantic paradoxes, a collection of paradoxes involving the semantic notions of truth, predication, and definability. The liar paradox is the oldest and most widely known of these, having been formulated by Eubulides as an objection to Aristotle’s correspondence theory of truth. In its simplest form, the liar paradox arises when we try to assess the truth of a sentence or proposition that asserts its own falsity, e.g.: (A) Sentence (A) is not true. It would seem that sentence (A) cannot be true, since it can be true only if what it says is the case, i.e., if it is not true. Thus sentence (A) is not true. But then, since this is precisely what it claims, it would seem to be true. Several alternative forms of the liar paradox have been given their own nes. The postcard paradox, also known as a liar cycle, envisions a postcard with sentence (B) on one side and sentence (C) on the other: (B) The sentence on the other side of this card is true. semantic molecularism semantic paradoxes 830    830 (C) The sentence on the other side of this card is false. Here, no consistent assignment of truth-values to the pair of sentences is possible. In the preface paradox, it is imagined that a book begins with the claim that at least one sentence in the book is false. This claim is unproblematically true if some later sentence is false, but if the remainder of the book contains only truths, the initial sentence appears to be true if and only if false. The preface paradox is one of many exples of contingent liars, claims that can either have an unproblematic truth-value or be paradoxical, depending on the truth-values of various other claims (in this case, the remaining sentences in the book). Related to the preface paradox is Epimenedes’ paradox: Epimenedes, himself from Crete, is said to have claimed that all Cretans are liars. This claim is paradoxical if interpreted to mean that Cretans always lie, or if interpreted to mean they sometimes lie and if no other claim made by Epimenedes was a lie. On the former interpretation, this is a simple variation of the liar paradox; on the latter, it is a form of contingent liar. Other semantic paradoxes include Berry’s paradox, Richard’s paradox, and Grelling’s paradox. The first two involve the notion of definability of numbers. Berry’s paradox begins by noting that nes (or descriptions) of integers consist of finite sequences of syllables. Thus the three-syllable sequence ‘twenty-five’ nes 25, and the seven-syllable sequence ‘the sum of three and seven’ nes ten. Now consider the collection of all sequences of (English) syllables that are less than nineteen syllables long. Of these, many are nonsensical (‘bababa’) and some make sense but do not ne integers (‘artichoke’), but some do (‘the sum of three and seven’). Since there are only finitely many English syllables, there are only finitely many of these sequences, and only finitely many integers ned by them. Berry’s paradox arises when we consider the eighteen-syllable sequence ‘the smallest integer not neable in less than nineteen syllables’. This phrase appears to be a perfectly well-defined description of an integer. But if the phrase nes an integer n, then n is neable in less than nineteen syllables, and hence is not described by the phrase. Richard’s paradox constructs a similarly paradoxical description using what is known as a diagonal construction. Imagine a list of all finite sequences of letters of the alphabet (plus spaces and punctuation), ordered as in a dictionary. Prune this list so that it contains only English definitions of real numbers between 0 and 1. Then consider the definition: “Let r be the real number between 0 and 1 whose kth decimal place is ) if the kth decimal place of the number ned by the kth member of this list is 1, and 0 otherwise’. This description seems to define a real number that must be different from any number defined on the list. For exple, r cannot be defined by the 237th member of the list, because r will differ from that number in at least its 237th decimal place. But if it indeed defines a real number between 0 and 1, then this description should itself be on the list. Yet clearly, it cannot define a number different from the number defined by itself. Apparently, the definition defines a real number between 0 and 1 if and only if it does not appear on the list of such definitions. Grelling’s paradox, also known as the paradox of heterologicality, involves two predicates defined as follows. Say that a predicate is “autological” if it applies to itself. Thus ‘polysyllabic’ and ‘short’ are autological, since ‘polysyllabic’ is polysyllabic, and ‘short’ is short. In contrast, a predicate is “heterological” if and only if it is not autological. The question is whether the predicate ‘heterological’ is heterological. If our answer is yes, then ‘heterological’ applies to itself – and so is autological, not heterological. But if our answer is no, then it does not apply to itself – and so is heterological, once again contradicting our answer. The semantic paradoxes have led to important work in both logic and the philosophy of language, most notably by Russell and Tarski. Russell developed the rified theory of types as a unified treatment of all the semantic paradoxes. Russell’s theory of types avoids the paradoxes by introducing complex syntactic conditions on formulas and on the definition of new predicates. In the resulting language, definitions like those used in formulating Berry’s and Richard’s paradoxes turn out to be ill-formed, since they quantify over collections of expressions that include themselves, violating what Russell called the vicious circle principle. The theory of types also rules out, on syntactic grounds, predicates that apply to themselves, or to larger expressions containing those very se predicates. In this way, the liar paradox and Grelling’s paradox cannot be constructed within a language conforming to the theory of types. Tarski’s attention to the liar paradox made two fundental contributions to logic: his development of semantic techniques for defining the truth predicate for formalized languages and his semantic paradoxes semantic paradoxes 831    831 proof of Tarski’s theorem. Tarskian semantics avoids the liar paradox by starting with a formal language, call it L, in which no semantic notions are expressible, and hence in which the liar paradox cannot be formulated. Then using another language, known as the metalanguage, Tarski applies recursive techniques to define the predicate true-in-L, which applies to exactly the true sentences of the original language L. The liar paradox does not arise in the metalanguage, because the sentence (D) Sentence (D) is not true-in-L. is, if expressible in the metalanguage, simply true. (It is true because (D) is not a sentence of L, and so a fortiori not a true sentence of L.) A truth predicate for the metalanguage can then be defined in yet another language, the metetalanguage, and so forth, resulting in a sequence of consistent truth predicates. Tarski’s theorem uses the liar paradox to prove a significant result in logic. The theorem states that the truth predicate for the first-order language of arithmetic is not definable in arithmetic. That is, if we devise a systematic way of representing sentences of arithmetic by numbers, then it is impossible to define an arithmetical predicate that applies to all and only those numbers that represent true sentences of arithmetic. The theorem is proven by showing that if such a predicate were definable, we could construct a sentence of arithmetic that is true if and only if it is not true: an arithmetical version of sentence (A), the liar paradox. Both Russell’s and Tarski’s solutions to the semantic paradoxes have left many philosophers dissatisfied, since the solutions are basically prescriptions for constructing languages in which the paradoxes do not arise. But the fact that paradoxes can be avoided in artificially constructed languages does not itself give a satisfying explanation of what is going wrong when the paradoxes are encountered in natural language, or in an artificial language in which they can be formulated. Most recent work on the liar paradox, following Kripke’s “Outline of a Theory of Truth” (1975), looks at languages in which the paradox can be formulated, and tries to provide a consistent account of truth that preserves as much as possible of the intuitive notion. 
semiosis (from Greek semeiosis, ‘observation of signs’), the relation of signification involving the three relata of sign, object, and mind. Semiotic is the science or study of semiosis. The semiotic of John of Saint Thomas and of Peirce includes two distinct components: the relation of signification and the classification of signs. The relation of signification is genuinely triadic and cannot be reduced to the sum of its three subordinate dyads: sign-object, sign-mind, object-mind. A sign represents an object to a mind just as A gives a gift to B. Semiosis is not, as it is often taken to be, a mere compound of a sign-object dyad and a sign-mind dyad because these dyads lack the essential intentionality that unites mind with object; similarly, the gift relation involves not just A giving and B receiving but, crucially, the intention uniting A and B. semantics semiosis 832    832 In the Scholastic logic of John of Saint Thomas, the sign-object dyad is a categorial relation (secundum esse), that is, an essential relation, falling in Aristotle’s category of relation, while the sign-mind dyad is a transcendental relation (secundum dici), that is, a relation only in an analogical sense, in a manner of speaking; thus the formal rationale of semiosis is constituted by the sign-object dyad. By contrast, in Peirce’s logic, the sign-object dyad and the sign-mind dyad are each only potential semiosis: thus, the hieroglyphs of ancient Egypt were merely potential signs until the discovery of the Rosetta Stone, just as a road-marking was a merely potential sign to the driver who overlooked it. Classifications of signs typically follow from the logic of semiosis. Thus John of Saint Thomas divides signs according to their relations to their objects into natural signs (smoke as a sign of fire), customary signs (napkins on the table as a sign that dinner is imminent), and stipulated signs (as when a neologism is coined); he also divides signs according to their relations to a mind. An instrumental sign must first be cognized as an object before it can signify (e.g., a written word or a symptom); a formal sign, by contrast, directs the mind to its object without having first been cognized (e.g., percepts and concepts). Formal signs are not that which we cognize but that by which we cognize. All instrumental signs presuppose the action of formal signs in the semiosis of cognition. Peirce similarly classified signs into three trichotomies according to their relations with (1) themselves, (2) their objects, and (3) their interpretants (usually minds); and Charles Morris, who followed Peirce closely, called the relationship of signs to one another the syntactical dimension of semiosis, the relationship of signs to their objects the semantical dimension of semiosis, and the relationship of signs to their interpreters the pragmatic dimension of semiosis.  JOHN OF SAINT THOMAS, PEIRCE, THEORY OF SIGNS. J.B.M. semiotic.THEORY OF SIGNS. Seneca, Lucius Annaeus.STOICISM. sensa.PERCEPTION. sensationalism, the belief that all mental states – particularly cognitive states – are derived, by composition or association, from sensation. It is often joined to the view that sensations provide the only evidence for our beliefs, or (more rarely) to the view that statements about the world can be reduced, without loss, to statements about sensation. Hobbes was the first important sensationalist in modern times. “There is no conception in man’s mind,” he wrote, “which hath not at first, totally, or by parts, been begotten upon the organs of sense. The rest are derived from that original.” But the belief gained prominence in the eighteenth century, due largely to the influence of Locke. Locke himself was not a sensationalist, because he took the mind’s reflection on its own operations to be an independent source of ideas. But his distinction between simple and complex ideas was used by eighteenthcentury sensationalists such as Condillac and Hartley to explain how conceptions that seem distant from sense might nonetheless be derived from it. And to account for the particular ways in which simple ideas are in fact combined, Condillac and Hartley appealed to a second device described by Locke: the association of ideas. “Elementary” sensations – the building blocks of our mental life – were held by the sensationalists to be non-voluntary, independent of judgment, free of interpretation, discrete or atomic, and infallibly known. Nineteenth-century sensationalists tried to account for perception in terms of such building blocks; they struggled particularly with the perception of space and time. Late nineteenth-century critics such as Ward and Jes advanced powerful arguments against the reduction of perception to sensation. Perception, they claimed, involves more than the passive reception (or recombination and association) of discrete pellets of incorrigible information. They urged a change in perspective – to a functionalist viewpoint more closely allied with prevailing trends in biology – from which sensationalism never fully recovered.  EMPIRICISM, HOBBES, PERCEPTION. K.P.W. sense.MEANING. sense, direct.OBLIQUE CONTEXT. sense, indirect.OBLIQUE CONTEXT. sense-data.PERCEPTION. sense-datum theory.PHENOMENALISM. sense qualia.QUALIA. senses, special.FACULTY PSYCHOLOGY. semiotic senses, special 833    833 sensibilia (singular: sensibile), as used by Russell, those entities that no one is (at the moment) perceptually aware of, but that are, in every other respect, just like the objects of perceptual awareness. If one is a direct realist and believes that the objects one is aware of in sense perception are ordinary physical objects, then sensibilia are, of course, just physical objects of which no one is (at the moment) aware. Assuming (with common sense) that ordinary objects continue to exist when no one is aware of them, it follows that sensibilia exist. If, however, one believes (as Russell did) that what one is aware of in ordinary sense perception is some kind of idea in the mind, a so-called sense-datum, then sensibilia have a problematic status. A sensibile then turns out to be an unsensed sense-datum. On some (the usual) conceptions of sense-data, this is like an unfelt pain, since a sense-datum’s existence (not as a sense-datum, but as anything at all) depends on our (someone’s) perception of it. To exist (for such things) is to be perceived (see Berkeley’s “esse est percipii“). If, however, one extends the notion of sense-datum (as Moore was inclined to do) to whatever it is of which one is (directly) aware in sense perception, then sensibilia may or may not exist. It depends on what – physical objects or ideas in the mind – we are directly aware of in sense perception (and, of course, on the empirical facts about whether objects continue to exist when they are not being perceived). If direct realists are right, horses and trees, when unobserved, are sensibilia. So are the front surfaces of horses and trees (things Moore once considered to be sensedata). If the direct realists are wrong, and what we are perceptually aware of are “ideas in the mind,” then whether or not sensibilia exist depends on whether or not such ideas can exist apart from any mind.  PERCEPTION, RUSSELL. F.D. sensible intuition.KANT. sensibles, common.ARISTOTLE, SENSUS COMMUNIS. sensibles, proper.ARISTOTLE. sensibles, special.ARISTOTLE, FACULTY PSYCHOLOGY. sensorium, the seat and cause of sensation in the brain of humans and other animals. The term is not part of contemporary psychological parlance; it belongs to prebehavioral, prescientific psychology, especially of the seventeenth and eighteenth centuries. Only creatures possessed of a sensorium were thought capable of bodily and perceptual sensations. Some thinkers believed that the sensorium, when excited, also produced muscular activity and motion. G.A.G. sensum.PERCEPTION. sensus communis, a cognitive faculty to which the five senses report. It was first argued for in Aristotle’s On the Soul II.1–2, though the term ‘common sense’ was first introduced in Scholastic thought. Aristotle refers to properties such as magnitude that are perceived by more than one sense as common sensibles. To recognize common sensibles, he claims, we must possess a single cognitive power to compare such qualities, received from the different senses, to one another. Augustine says the “inner sense” judges whether the senses are working properly, and perceives whether the animal perceives (De libero arbitrio II.3–5). Aquinas (In De anima II, 13.370) held that it is also by the common sense that we perceive we live. He says the common sense uses the external senses to know sensible forms, preparing the sensible species it receives for the operation of the cognitive power, which recognizes the real thing causing the sensible species.  AQUINAS, ARISTOTLE. J.Lo. sentence, basic.FOUNDATIONALISM. sentential calculus.FORMAL LOGIC. sentential connective, also called sentential operator, propositional connective, propositional operator, a word or phrase, such as ‘and’, ‘or’, or ‘if . . . then’, that is used to construct compound sentences from atomic – i.e., non-compound – sentences. A sentential connective can be defined formally as an expression containing blanks, such that when the blanks are replaced with sentences the result is a compound sentence. Thus, ‘if ——— then ———’ and ‘——— or ———’ are sentential connectives, since we can replace the blanks with sentences to get the compound sentences ‘If the sky is clear then we can go swimming’ and ‘We can go swimming or we can stay home’. Classical logic makes use of truth-functional connectives only, for which the truth-value of the compound sentence can be determined uniquely by the truth-value of the sentences that replace the blanks. The standard truth-functional sensibilia sentential connective 834    834 connectives are ‘and’, ‘or’, ‘not’, ‘if . . . then’, and ‘if and only if’. There are many non-truth-functional connectives as well, such as ‘it is possible that ———’ and ‘——— because ———’.  FORMAL LOGIC, OPERATOR, TRUTH TABLE. V.K. sentential operator.SENTENTIAL CONNECTIVE. sentiment.SENTIMENTALISM. sentimentalism, the theory, prominent in the eighteenth century, that epistemological or moral relations are derived from feelings. Although sentimentalism and sensationalism are both empiricist positions, the latter view has all knowledge built up from sensations, experiences impinging on the senses. Sentimentalists may allow that ideas derive from sensations, but hold that some relations between them are derived internally, that is, from sentiments arising upon reflection. Moral sentimentalists, such as Shaftesbury, Hutcheson, and Hume, argued that the virtue or vice of a character trait is established by approving or disapproving sentiments. Hume, the most thoroughgoing sentimentalist, also argued that all beliefs about the world depend on sentiments. On his analysis, when we form a belief, we rely on the mind’s causally connecting two experiences, e.g., fire and heat. But, he notes, such causal connections depend on the notion of necessity – that the two perceptions will always be so conjoined – and there is nothing in the perceptions themselves that supplies that notion. The idea of necessary connection is instead derived from a sentiment: our feeling of expectation of the one experience upon the other. Likewise, our notions of substance (the unity of experiences in an object) and of self (the unity of experiences in a subject) are sentimentbased. But whereas moral sentiments do not purport to represent the external world, these metaphysical notions of necessity, substance, and self are “fictions,” creations of the imagination purporting to represent something in the outside world.  HUME, HUTCHESON, MORAL SENSE THEORY, SENSATIONALISM, SHAFTESBURY. E.S.R. separation, axiom of.AXIOM OF COMPREHENSION, SET THEORY. separation of law and morals.HART. sequent calculus.CUT-ELIMINATION THEOREM. set.SET THEORY. set, singleton.SET THEORY. set, well-ordered.SET-THEORETIC PARADOXES. set-theoretic paradoxes, a collection of paradoxes that reveal difficulties in certain central notions of set theory. The best-known of these are Russell’s paradox, Burali-Forti’s paradox, and Cantor’s paradox. Russell’s paradox, discovered in 1901 by Bertrand Russell, is the simplest (and so most problematic) of the set-theoretic paradoxes. Using it, we can derive a contradiction directly from Cantor’s unrestricted comprehension schema. This schema asserts that for any formula P(x) containing x as a free variable, there is a set {x _ P(x)} whose members are exactly those objects that satisfy P(x). To derive the contradiction, take P(x) to be the formula x 1 x, and let z be the set {x _ x 2 x} whose existence is guaranteed by the comprehension schema. Thus z is the set whose members are exactly those objects that are not members of themselves. We now ask whether z is, itself, a member of z. If the answer is yes, then we can conclude that z must satisfy the criterion of membership in z, i.e., z must not be a member of z. But if the answer is no, then since z is not a member of itself, it satisfies the criterion for membership in z, and so z is a member of z. All modern axiomatizations of set theory avoid Russell’s paradox by restricting the principles that assert the existence of sets. The simplest restriction replaces unrestricted comprehension with the separation schema. Separation asserts that, given any set A and formula P(x), there is a set {x 1 A _ P(x)}, whose members are exactly those members of A that satisfy P(x). If we now take P(x) to be the formula x 2 x, then separation guarantees the existence of a set zA % {x 1 A _ x 2 x}. We can then use Russell’s reasoning to prove the result that zA cannot be a member of the original set A. (If it were a member of A, then we could prove that it is a member of itself if and only if it is not a member of itself. Hence it is not a member of A.) But this result is not problematic, and so the paradox is avoided. The Burali-Forte paradox and Cantor’s paradox are sometimes known as paradoxes of size, since they show that some collections are too large to be considered sets. The Burali-Forte paradox, discovered by Cesare Burali-Forte, is concerned with the set of all ordinal numbers. In Cantor’s set theory, an ordinal number can be sentential operator set-theoretic paradoxes 835    835 assigned to any well-ordered set. (A set is wellordered if every subset of the set has a least element.) But Cantor’s set theory also guarantees the existence of the set of all ordinals, again due to the unrestricted comprehension schema. This set of ordinals is well-ordered, and so can be associated with an ordinal number. But it can be shown that the associated ordinal is greater than any ordinal in the set, hence greater than any ordinal number. Cantor’s paradox involves the cardinality of the set of all sets. Cardinality is another notion of size used in set theory: a set A is said to have greater cardinality than a set B if and only if B can be mapped one-to-one onto a subset of A but A cannot be so mapped onto B or any of its subsets. One of Cantor’s fundental results was that the set of all subsets of a set A (known as the power set of A) has greater cardinality than the set A. Applying this result to the set V of all sets, we can conclude that the power set of V has greater cardinality than V. But every set in the power set of V is also in V (since V contains all sets), and so the power set of V cannot have greater cardinality than V. We thus have a contradiction. Like Russell’s paradox, both of these paradoxes result from the unrestricted comprehension schema, and are avoided by replacing it with weaker set-existence principles. Various principles stronger than the separation schema are needed to get a reasonable set theory, and many alternative axiomatizations have been proposed. But the lesson of these paradoxes is that no setexistence principle can entail the existence of the Russell set, the set of all ordinals, or the set of all sets, on pain of contradiction.  SEMANTIC PARADOXES, SET THEORY. J.Et. set-theoretic reflection principles.REFLECTION PRINCIPLES. set theory, the study of collections, ranging from filiar exples like a set of encyclopedias or a deck of cards to mathematical exples like the set of natural numbers or the set of points on a line or the set of functions from a set A to another set B. Sets can be specified in two basic ways: by a list (e.g., {0, 2, 4, 6, 8}) and as the extension of a property (e.g., {x _ x is an even natural number less than 10}, where this is read ‘the set of all x such that x is an even natural number less than 10’). The most fundental relation in set theory is membership, as in ‘2 is a member of the set of even natural numbers’ (in symbols: 2 1 {x _ x is an even natural number}). Membership is determinate, i.e., any candidate for membership in a given set is either in the set or not in the set, with no room for vagueness or biguity. A set’s identity is completely determined by its members or elements (i.e., sets are extensional rather than intensional). Thus {x _ x is human} is the se set as {x _ x is a featherless biped} because they have the se members. The smallest set possible is the empty or null set, the set with no members. (There cannot be more than one empty set, by extensionality.) It can be specified, e.g., as {x _ x & x}, but it is most often symbolized as / or { }. A set A is called a subset of a set B and B a superset of A if every member of A is also a member of B; in symbols, A 0 B. So, the set of even natural numbers is a subset of the set of all natural numbers, and any set is a superset of the empty set. The union of two sets A and B is the set whose members are the members of A and the members of B – in symbols, A 4 B % {x _ x 1 A or x 1 B} – so the union of the set of even natural numbers and the set of odd natural numbers is the set of all natural numbers. The intersection of two sets A and B is the set whose members are common to both A and B – in symbols, A 3 B % {x _ x 1 A and x 1 B} – so the intersection of the set of even natural numbers and the set of prime natural numbers is the singleton set {2}, whose only member is the number 2. Two sets whose intersection is empty are called disjoint, e.g., the set of even natural numbers and the set of odd natural numbers. Finally, the difference between a set A and a set B is the set whose members are members of A but not members of B – in symbols, A – B % {x _ x 1 A and x 2 B} – so the set of odd numbers between 5 and 20 minus the set of prime natural numbers is {9, 15}. By extensionality, the order in which the members of a set are listed is unimportant, i.e., {1, 2, 3} % {2, 3, 1}. To introduce the concept of ordering, we need the notion of the ordered pair of a and b – in symbols, (a, b) or . All that is essential to ordered pairs is that two of them are equal only when their first entries are equal and their second entries are equal. Various sets can be used to simulate this behavior, but the version most commonly used is the Kuratowski ordered pair: (a, b) is defined to be {{a}, {a, b}}. On this definition, it can indeed be proved that (a, b) % (c, d) if and only if a % c and b % d. The Cartesian product of two sets A and B is the set of all ordered pairs whose first entry is in A and whose second entry is B – in symbols, A $ B % {x _ x % (a, b) for some a 1 A and some b 1 B}. This set-theoretic reflection principles set theory 836    836 se technique can be used to form ordered triples – (a, b, c) % ((a, b), c); ordered fourtuples – (a, b, c, d) % ((a, b, c), d); and by extension, ordered n-tuples for all finite n. Using only these simple building blocks, (substitutes for) all the objects of classical mathematics can be constructed inside set theory. For exple, a relation is defined as a set of ordered pairs – so the successor relation ong natural numbers becomes {(0, 1), (1, 2), (2, 3) . . . } – and a function is a relation containing no distinct ordered pairs of the form (a, b) and (a, c) – so the successor relation is a function. The natural numbers themselves can be identified with various sequences of sets, the most common of which are finite von Neumann ordinal numbers: /, {/}, {/, {/}, {/}, {/}, {/, {/}}}, . . . . (On this definition, 0 % /, 1 % {/}, 2 % {/, {/}}, etc., each number n has n members, the successor of n is n 4 {n}, and n ‹ m if and only if n 1 m.) Addition and multiplication can be defined for these numbers, and the Peano axioms proved (from the axioms of set theory; see below). Negative, rational, real, and complex numbers, geometric spaces, and more esoteric mathematical objects can all be identified with sets, and the standard theorems about them proved. In this sense, set theory provides a foundation for mathematics. Historically, the theory of sets arose in the late nineteenth century. In his work on the foundations of arithmetic, Frege identified the natural numbers with the extensions of certain concepts; e.g., the number two is the set of all concepts C under which two things fall – in symbols, 2 % {x _ x is a concept, and there are distinct things a and b which fall under x, and anything that falls under x is either a or b}. Cantor was led to consider complex sets of points in the pursuit of a question in the theory of trigonometric series. To describe the properties of these sets, Cantor introduced infinite ordinal numbers after the finite ordinals described above. The first of these, w, is {0, 1, 2, . . .}, now understood in von Neumann’s terms as the set of all finite ordinals. After w, the successor function yields w ! 1 % w 4 {w} % {0, 1, 2, . . . n, n + 1, . . . , w}, then w ! 2 % (w ! 1) ! 1 % {0, 1, 2, . . . , w , w ! 1}, w ! 3 % (w ! 2) ! 1 % {0, 1, 2, . . . , w, w ! 1, w ! 2}, and so on; after all these comes w ! w % {0, 1, 2, . . . , w, w ! 1, w ! 2, . . . , (w ! n), (w ! n) ! 1, . . .}, and the process begins again. The ordinal numbers are designed to label the positions in an ordering. Consider, e.g., a reordering of the natural numbers in which the odd numbers are placed after the evens: 0, 2, 4, 6, . . . 1, 3, 5, 7, . . . . The number 4 is in the third position of this sequence, and the number 5 is in the (w + 2nd). But finite numbers also perform a cardinal function; they tell us how many so-andso’s there are. Here the infinite ordinals are less effective. The natural numbers in their usual order have the se structure as w, but when they are ordered as above, with the evens before the odds, they take on the structure of a much larger ordinal, w ! w. But the answer to the question, How many natural numbers are there? should be the se no matter how they are arranged. Thus, the transfinite ordinals do not provide a stable measure of the size of an infinite set. When are two infinite sets of the se size? On the one hand, the infinite set of even natural numbers seems clearly smaller than the set of all natural numbers; on the other hand, these two sets can be brought into one-to-one correspondence via the mapping that matches 0 to 0, 1 to 2, 2 to 4, 3 to 6, and in general, n to 2n. This puzzle had troubled mathematicians as far back as Galileo, but Cantor took the existence of a oneto-one correspondence between two sets A and B as the definition of ‘A is the se size as B’. This coincides with our usual understanding for finite sets, and it implies that the set of even natural numbers and the set of all natural numbers and w ! 1 and w! 2 and w ! w and w ! w and many more all have the se size. Such infinite sets are called countable, and the number of their elements, the first infinite cardinal number, is F0. Cantor also showed that the set of all subsets of a set A has a size larger than A itself, so there are infinite cardinals greater than F0, nely F1, F2, and so on. Unfortunately, the early set theories were prone to paradoxes. The most fous of these, Russell’s paradox, arises from consideration of the set R of all sets that are not members of themselves: is R 1 R? If it is, it isn’t, and if it isn’t, it is. The Burali-Forti paradox involves the set W of all ordinals: W itself qualifies as an ordinal, so W 1 W, i.e., W ‹ W. Similar difficulties surface with the set of all cardinal numbers and the set of all sets. At fault in all these cases is a seemingly innocuous principle of unlimited comprehension: for any property P, there is a set {x _ x has P}. Just after the turn of the century, Zermelo undertook to systematize set theory by codifying its practice in a series of axioms from which the known derivations of the paradoxes could not be carried out. He proposed the axioms of extensionality (two sets with the se members are the se); pairing (for any a and b, there is a set {a, b}); separation (for any set A and property P, there set theory set theory 837    837 is a set {x _ x 1 A and x has P}); power set (for any set A, there is a set {x _ x0 A}); union (for any set of sets F, there is a set {x _ x 1 A for some A 1 F} – this yields A 4 B, when F % {A, B} and {A, B} comes from A and B by pairing); infinity (w exists); and choice (for any set of non-empty sets, there is a set that contains exactly one member from each). (The axiom of choice has a vast number of equivalents, including the well-ordering theorem – every set can be well-ordered – and Zorn’s lemma – if every chain in a partially ordered set has an upper bound, then the set has a maximal element.) The axiom of separation limits that of unlimited comprehension by requiring a previously given set A from which members are separated by the property P; thus troublesome sets like Russell’s that attempt to collect absolutely all things with P cannot be formed. The most controversial of Zermelo’s axioms at the time was that of choice, because it posits the existence of a choice set – a set that “chooses” one from each of (possibly infinitely many) non-empty sets – without giving any rule for making the choices. For various philosophical and practical reasons, it is now accepted without much debate. Fraenkel and Skolem later formalized the axiom of replacement (if A is a set, and every member a of A is replaced by some b, then there is a set containing all the b’s), and Skolem made both replacement and separation more precise by expressing them as schemata of first-order logic. The final axiom of the contemporary theory is foundation, which guarantees that sets are formed in a series of stages called the iterative hierarchy (begin with some non-sets, then form all possible sets of these, then form all possible sets of the things formed so far, then form all possible sets of these, and so on). This iterative picture of sets built up in stages contrasts with the older notion of the extension of a concept; these are sometimes called the mathematical and the logical notions of collection, respectively. The early controversy over the paradoxes and the axiom of choice can be traced to the lack of a clear distinction between these at the time. Zermelo’s first five axioms (all but choice) plus foundation form a system usually called Z; ZC is Z with choice added. Z plus replacement is ZF, for Zermelo-Fraenkel, and adding choice makes ZFC, the theory of sets in most widespread use today. The consistency of ZFC cannot be proved by standard mathematical means, but decades of experience with the system and the strong intuitive picture provided by the iterative conception suggest that it is. Though ZFC is strong enough for all standard mathematics, it is not enough to answer some natural set-theoretic questions (e.g., the continuum problem). This has led to a search for new axioms, such as large cardinal assumptions, but no consensus on these additional principles has yet been reached.  CANTOR, CLASS, CONTINUUM PROBLEM, GÖDEL’S INCOMPLETENESS THEOREMS, PHILOSOPHY OF MATHEMATICS, SETTHEORETIC PARADOXES. P.Mad. seven emotions (the).KOREAN PHILOSOPHY. Seven Worthies of the Bboo Grove.NEOTAOISM. Sextus Empiricus (third century A.D.), Greek Skeptic philosopher whose writings are the chief source of our knowledge about the extreme Skeptic view, Pyrrhonism. Practically nothing is known about him as a person. He was apparently a medical doctor and a teacher in a Skeptical school, probably in Alexandria. What has survived are his Hypotoposes, Outlines of Pyrrhonism, and a series of Skeptical critiques, Against the Dogmatists, questioning the premises and conclusions in many disciplines, such as physics, mathematics, rhetoric, and ethics. In these works, Sextus summarized and organized the views of Skeptical arguers before him. The Outlines starts with an attempt to indicate what Skepticism is, to explain the terminology employed by the Skeptics, how Pyrrhonian Skepticism differs from other so-called Skeptical views, and how the usual answers to Skepticism are rebutted. Sextus points out that the main Hellenistic philosophies, Stoicism, Epicureanism, and Academic Skepticism (which is presented as a negative dogmatism), claimed that they would bring the adherent peace of mind, ataraxia. Unfortunately the dogmatic adherent would only become more perturbed by seeing the Skeptical objections that could be brought against his or her view. Then, by suspending judgment, epoche, one would find the tranquillity being sought. Pyrrhonian Skepticism is a kind of mental hygiene or therapy that cures one of dogmatism or rashness. It is like a purge that cleans out foul matter as well as itself. To bring about this state of affairs there are sets of Skeptical arguments that should bring one to suspense of judgment. The first set are the ten tropes of the earlier Skeptic, Anesidemus. The next are the five tropes about causality. And lastly are the tropes about the criterion of knowledge. The ten tropes stress the variability of sense experience ong men seven emotions (the) Sextus Empiricus 838    838 and animals, ong men, and within one individual. The varying and conflicting experiences present conflicts about what the perceived object is like. Any attempt to judge beyond appearances, to ascertain that which is non-evident, requires some way of choosing what data to accept. This requires a criterion. Since there is disagreement about what criterion to employ, we need a criterion of a criterion, and so on. Either we accept an arbitrary criterion or we get into an infinite regress. Similarly if we try to prove anything, we need a criterion of what constitutes a proof. If we offer a proof of a theory of proof, this will be circular reasoning, or end up in another infinite regress. Sextus devotes most of his discussion to challenging Stoic logic, which claimed that evident signs could reveal what is non-evident. There might be signs that suggested what is temporarily non-evident, such as smoke indicating that there is a fire, but any supposed linkage between evident signs and what is non-evident can be challenged and questioned. Sextus then applies the groups of Skeptical arguments to various specific subjects – physics, mathematics, music, grmar, ethics – showing that one should suspend judgment on any knowledge claims in these areas. Sextus denies that he is saying any of this dogmatically: he is just stating how he feels at given moments. He hopes that dogmatists sick with a disease, rashness, will be cured and led to tranquillity no matter how good or bad the Skeptical arguments might be.  SKEPTICISM, SKEPTICS, STOICISM. R.H.P. Shaftesbury, Lord, in full, Third Earl of Shaftesbury, title of Anthony Ashley Cooper (1671– 1713), English philosopher and politician who originated the moral sense theory. He was born at Wimborne St. Giles, Dorsetshire. As a Country Whig he served in the House of Commons for three years and later, as earl, monitored meetings of the House of Lords. Shaftesbury introduced into British moral philosophy the notion of a moral sense, a mental faculty unique to human beings, involving reflection and feeling and constituting their ability to discern right and wrong. He sometimes represents the moral sense as analogous to a purported aesthetic sense, a special capacity by which we perceive, through our emotions, the proportions and harmonies of which, on his Platonic view, beauty is composed. For Shaftesbury, every creature has a “private good or interest,” an end to which it is naturally disposed by its constitution. But there are other goods as well – notably, the public good and the good (without qualification) of a sentient being. An individual creature’s goodness is defined by the tendency of its “natural affections” to contribute to the “universal system” of nature of which it is a part – i.e., their tendency to promote the public good. Because human beings can reflect on actions and affections, including their own and others’, they experience emotional responses not only to physical stimuli but to these mental objects as well (e.g., to the thought of one’s compassion or kindness). Thus, they are capable of perceiving – and acquiring through their actions – a particular species of goodness, nely, virtue. In the virtuous person, the person of integrity, natural appetites and affections are in harmony with each other (wherein lies her private good) and in harmony with the public interest. Shaftesbury’s attempted reconciliation of selflove and benevolence is in part a response to the egoism of Hobbes, who argued that everyone is in fact motivated by self-interest. His defining morality in terms of psychological and public harmony is also a reaction to the divine voluntarism of his former tutor, Locke, who held that the laws of nature and morality issue from the will of God. On Shaftesbury’s view, morality exists independently of religion, but belief in God serves to produce the highest degree of virtue by nurturing a love for the universal system. Shaftesbury’s theory led to a general refinement of eighteenth-century ideas about moral feelings; a theory of the moral sense emerged, whereby sentiments are – under certain conditions – perceptions of, or constitutive of, right and wrong. In addition to several essays collected in three volumes under the title Characteristics of Men, Manners, Opinions, Times (second edition, 1714), Shaftesbury also wrote stoical moral and religious meditations reminiscent of Epictetus and Marcus Aurelius. His ideas on moral sentiments exercised considerable influence on the ethical theories of Hutcheson and Hume, who later worked out in detail their own accounts of the moral sense.  HOBBES, HUME, HUTCHESON, MORAL SENSE THEORY. E.S.R. shanism.KOREAN PHILOSOPHY. shan, o, Chinese terms for ‘good’ and ‘evil’, respectively. These are primary concerns for Chinese philosophers: the Confucianists wanted to do good and get rid of evil, while the Taoists wanted to go beyond good and evil. In fact the Shaftesbury shan, o 839    839 Taoists presupposed that man has the ability to reach a higher level of spirituality. Chinese philosophers often discussed shan and o in relation to human nature. Mencius believed that nature is good; his opponent Kao Tzu, nature is neither good nor evil; Hsün Tzu, nature is evil; and Yang Hsiung, nature is both good and evil. Most Chinese philosophers believed that man is able to do good; they also accepted evil as something natural that needed no explanation.  CONFUCIANISM, HSÜN TZU, MENCIUS, TAOISM, YANG HSIUNG. S.-h.L. shang ti, Chinese term meaning ‘high ancestor’, ‘God’. Shang ti – synonymous with t’ien, in the sense of a powerful anthropomorphic entity – is responsible for such things as the political fortunes of the state. Some speculate that shang ti was originally only a Shang deity, later identified by the Chou conquerors with their t’ien. The term shang ti is also used as a translation of ‘God’.  T’IEN. B.W.V.N. Shang Yang, also called Lord Shang (d. 338 B.C.), Chinese statesman. A prime minister of Ch’in and prominent Legalist, he emphasized the importance of fa (law, or more broadly, impartial standards for punishment and reward) to the sociopolitical order. Shang Yang maintained that agriculture and war were the keys to a strong state. However, humans are self-interested rational actors. Their interest to avoid hard work and the risk of death in battle is at odds with the ruler’s desire for a strong state. Accordingly, the ruler must rely on harsh punishments and positive rewards to ensure the cooperation of the people.  CHINESE LEGALISM. R.P.P. & R.T.A. Shankara, also transliterated Sankara and Skara (A.D. 788–820), Indian philosopher who founded Advaita Vedanta Hinduism. His major works are the Brahma-Sutra-Bhafya (a commentary on Badarayana’s Brahma Sutras) and his Gita-Bhayfa (a commentary on the Bhagavad Gita). He provides a vigorous defense of mind–body dualism, of the existence of a plurality of minds and mind-independent physical objects, and of monotheism. Then, on the basis of appeal to sruti (scripture) – i.e., the Vedas and Upanishads – and an esoteric enlightenment experience (moksha), he relegates dualism, realism, and theism to illusion (the level of appearance) in favor of a monism that holds that only nirguna or qualityless Brahman exists (the level of reality). Some interpreters read this distinction between levels metaphysically rather than epistemologically, but this is inconsistent with Shankara’s monism.  ADVAITA, VEDANTA. K.E.Y. Shao Yung (1011–77), Chinese philosopher, a controversial Neo-Confucian figure. His Huangchi ching-shih (“Ultimate Principles Governing the World”) advances a numerological interpretation of the I-Ching. Shao noticed that the IChing expresses certain cosmological features in numerical terms. He concluded that the cosmos itself must be based on numerical relationships and that the I-Ching is its cipher, which is why the text can be used to predict the future. One of Shao’s charts of the I-Ching’s hexagrs ce to the attention of Leibniz, who noticed that, so arranged, they can be construed as describing the numbers 0–63 in binary expression. Shao probably was not aware of this, and Leibniz interpreted Shao’s arrangement in reverse order, but they shared the belief that certain numerical sequences revealed the structure of the cosmos. P.J.I. Sheffer stroke, also called alternative denial, a binary truth-functor represented by the symbol ‘_’, the logical force of which can be expressed contextually in terms of ‘-’ and ‘&’ by the following definition: p_q % Df -(p & q). The importance of the Sheffer stroke lies in the fact that it by itself can express any well-formed expression of truth-functional logic. Thus, since {-,7} forms an expressively complete set, defining -p as p_p and p 7 q as (p_p) _(q_q) provides for the possibility of a further reduction of primitive functors to one. This system of symbols is commonly called the stroke notation. I.Bo. shen, Chinese term meaning ‘spirit’, ‘spiritual’, ‘numinous’, ‘demonic’. In early texts, shen is used to mean various nature spirits, with emphasis on the efficacy of spirits to both know and accomplish (hence one seeks their advice and aid). Shen ce to describe the operations of nature, which accomplishes its ends with “spiritual” efficacy. In texts like the Chuang Tzu, Hsün Tzu, and I-Ching, shen no longer refers to an entity but to a state of resonance with the cosmos. In such a state, the sage can tap into the “spiritual” nature of an event, situation, person, or text and successfully read, react to, and guide the course of events. P.J.I. sheng, Chinese term meaning ‘the sage’, ‘sagehood’. This is the Chinese concept of extraordishang ti sheng 840    840 nary human attainment or perfection. Philosophical Taoism focuses primarily on sheng as complete attunement or adaptability to the natural order of events as well as irregular occurrences and phenomena. Classical Confucianism focuses, on the other hand, on the ideal unity of Heaven (t’ien) and human beings as having an ethical significance in resolving human problems. Neo-Confucianism tends to focus on sheng as a realizable ideal of the universe as a moral community. In Chang Tsai’s words, “Heaven is my father and Earth is my mother, and even such a small creature as I finds an intimate place in their midst. . . . All people are my brothers and sisters, and all things are my companions.” In Confucianism, sheng (the sage) is often viewed as one who possesses comprehensive knowledge and insights into the ethical significance of things, events, and human affairs. This ideal of sheng contrasts with chün-tzu, the paradigmatic individual who embodies basic ethical virtues (jen, li, i, and chih), but is always liable to error, especially in responding to changing circumstances of human life. For Confucius, sheng (sagehood) is more like an abstract, supreme ideal of a perfect moral personality, an imagined vision rather than a possible objective of the moral life. He once remarked that he could not ever hope to meet a sheng-jen (a sage), but only a chün-tzu. For his eminent followers, on the other hand, e.g., Mencius, Hsün Tzu, and the Neo-Confucians, sheng is a humanly attainable ideal.  CONFUCIANISM, MENCIUS. A.S.C. Shen Pu-hai (d.337 B.C.), Chinese Legalist philosopher who emphasized shu, pragmatic methods or techniques of bureaucratic control whereby the ruler checked the power of officials and ensured their subordination. These techniques included impartial application of publicly promulgated positive law, appointment based on merit, mutual surveillance by officials, and most importantly hsing ming – the assignment of punishment and reward based on the correspondence between one’s official title or stipulated duties (ming) and one’s performance (hsing). Law for Shen Pu-hai was one more pragmatic means to ensure social and bureaucratic order.  HSING, MING. R.P.P. & R.T.A. Shen Tao, also called Shen Tzu (350?–275? B.C.), Chinese philosopher associated with Legalism, Taoism, and the Huang–Lao school. Depicted in the Chuang Tzu as a simple-minded naturalist who believed that one only had to abandon knowledge to follow tao (the Way), Shen Tao advocated rule by law where laws were to be impartial, publicly promulgated, and changed only if necessary and then in accordance with tao. His main contribution to Legalist theory is the notion that the ruler must rely on shih (political purchase, or the power held by virtue of his position). Shen’s law is the pragmatic positive law of the Legalists rather than the natural law of Huang–Lao.  HUANG–LAO, TAOISM. R.P.P. & R.T.A. Shepherd, Mary (d.1847), Scottish philosopher whose main philosophical works are An Essay on the Relation of Cause and Effect (1824) and Essays on the Perception of an External Universe (1827). The first addresses what she takes to be the skeptical consequences of Hume’s account of causation, but a second target is the use Willi Lawrence (1783–1867) made of Hume’s associative account of causation to argue that mental functions are reducible to physiological ones. The second work focuses on Hume’s alleged skepticism with regard to the existence of the external world, but she is also concerned to distinguish her position from Berkeley’s. Shepherd was drawn into a public controversy with John Fearn, who published some remarks she had sent him on a book of his, together with his extensive reply. Shepherd replied in an article in Fraser’s magazine (1832), “Lady Mary Shepherd’s Metaphysics,” which deftly refuted Fearn’s rather condescending attack.  BERKELEY, HUME. M.At. Sherwood, Willi, also called Willi Shyreswood (1200/10–1266/71), English logician who taught logic at Oxford and at Paris between 1235 and 1250. He was the earliest of the three great “summulist” writers, the other two (whom he influenced strongly) being Peter of Spain and Lbert of Auxerre (fl. 1250). His main works are Introductiones in Logic, Syncategoremata, De insolubilibus, and Obligationes (some serious doubts have recently arisen about the authorship of the latter work). Since M. Grabmann published Sherwood’s Introductiones in 1937, historians of logic have paid considerable attention to this seminal medieval logician. While the first four chapters of Introductiones offer the basic ideas of Aristotle’s Organon, and the last chapter neatly lays out the Sophistical Refutations, the fifth tract expounds the fous doctrine of the properties of terms: signification, supposition, conjunction, and appellation – hence the label ‘terminist’ for this sort of logic. These Shen Pu-hai Sherwood, Willi 841   841 logico-semantic discussions, together with the discussions of syncategorematic words, constitute the logica moderna, as opposed to the more strictly Aristotelian contents of the earlier logica vetus and logica nova. The doctrine of properties of terms and the analysis of syncategorematic terms, especially those of ‘all’, ‘no’ and ‘nothing’, ‘only’, ‘not’, ‘begins’ and ‘ceases’, ‘necessarily’, ‘if’, ‘and’, and ‘or’, may be said to constitute Sherwood’s philosophy of logic. He not only distinguishes categorematic (descriptive) and syncategorematic (logical) words but also shows how some terms are used categorematically in some contexts and syncategorematically in others. He recognizes the importance of the order of words and of the scope of logical functors; he also anticipates the variety of composite and divided senses of propositions. Obligationes, if indeed his, attempts to state conditions under which a formal disputation may take place. De Insolubilibus deals with paradoxes of self-reference and with ways of solving them. Understanding Sherwood’s logic is important for understanding the later medieval developments of logica moderna down to Ockh. I.Bo. shih1, Chinese term meaning ‘strategic advantage’. Shih was the key and defining idea in the Militarist philosophers, later appropriated by some of the other classical schools, including the Legalists (Han Fei Tzu) and the Confucians (Hsün Tzu). Like ritual practices (li) and speaking (yen), shih is a level of discourse through which one actively cultivates the leverage and influence of one’s particular place. In the Military texts, the most filiar metaphor for shih is the taut trigger on the drawn crossbow, emphasizing advantageous position, timing, and precision. Shih (like immanental order generally) begins from the full consideration of the concrete detail. The business of war or effective government does not occur as some independent and isolated event, but unfolds within a broad field of unique natural, social, and political conditions proceeding according to a general pattern that can not only be anticipated but manipulated to one’s advantage. It is the changing configuration of these specific conditions that determines one’s place and one’s influence at any point in time, and gives one a defining disposition. Shih includes intangible forces such as morale, opportunity, timing, psychology, and logistics.  CHINESE LEGALISM, CONFUCIANISM. R.P.P. & R.T.A. shih2, Chinese term meaning ‘scholar-knight’ and ‘service’. In the service of the rulers of the “central states” of preimperial China, shih were a lower echelon of the official nobility responsible for both warfare and matters at court, including official documentation, ritual protocol, and law. Most of the early philosophers, trained in the “six arts” of rites, music, archery, charioteering, writing, and counting, belonged to this stratum. Without hereditary position, they lived by their wits and their professional skills, and were responsible for both the intellectual vigor and the enormous social mobility of Warring States China (403–221 B.C.).  SHEN PU-HAI. R.P.P. & R.T.A. ship of Theseus, the ship of the Greek hero Theseus, which, according to Plutarch (“Life of Theseus,” 23), the Athenians preserved by gradually replacing its timbers. A classic debate ensued concerning identity over time. Suppose a ship’s timbers are replaced one by one over a period of time; at what point, if any, does it cease to be the se ship? What if the ship’s timbers, on removal, are used to build a new ship, identical in structure with the first: which ship has the best claim to be the original ship?  IDENTITY, INDIVIDUATION, PERSONAL IDENTITY. W.J.P. Shpet, Gustav Gustavovich (1879–1937), leading Russian phenomenologist and highly regarded student and friend of Husserl. He played a major role in the development of phenomenology in Russia prior to the revolution. Graduating from Kiev University in 1906, Shpet accompanied his mentor Chelpanov to Moscow in 1907, commencing graduate studies at Moscow University (M.A., 1910; Ph.D., 1916). He attended Husserl’s seminars at Göttingen during 1912–13, out of which developed a continuing friendship between the two, recorded in correspondence extending through 1918. In 1914 Shpet published a meditation, Iavlenie i smysl (Appearance and Sense), inspired by Husserl’s Logical Investigations and, especially, Ideas I, which had appeared in 1913. Between 1914 and 1927 he published six additional books on such disparate topics as the concept of history, Herzen, Russian philosophy, aesthetics, ethnic psychology, and language. He founded and edited the philosophical yearbook Mysl’ i slovo (Thought and Word) between 1918 and 1921, publishing an important article on skepticism in it. He was arrested in 1935 and sentenced to internal exile. Under these conditions he completed a fine new shih1 Shpet, Gustav Gustavovich 842   842 translation of Hegel’s Phenomenology into Russian, which was published in 1959. He was executed in November 1937.  HUSSERL, RUSSIAN PHILOSOPHY. P.T.G. shriek operator.APPENDIX OF SPECIAL SYMBOLS. shu1, Chinese term for ‘technique of statecraft’. Such techniques were advocated by Shen Pu-hai and the other Legalist philosophers as instruments of the ruler in power that would guarantee the stable and efficient operations of government. The best-known shu include (1) “accountability” (hsing-ming): the duties and obligations of office are clearly articulated, and at intervals a comparison is made between stipulated responsibilities (ming) and performance (hsing); (2) “doing nothing” (wu-wei): the engine of state is constructed so that the ministers are integral, functioning components guided by clearly promulgated laws (fa), while the ruler stands aloof as the embodiment of the authority of government, thereby receiving credit for successes and deflecting ble back to the officials; (3) “showing nothing” (wu-hsien): by secreting the royal person, concealing all likes and dislikes, and proffering no opinion, the ruler not only shields his limitations from public scrutiny, but further encourages a personal mystique as an ideal invested with a superlative degree of all things worthwhile. R.P.P. & R.T.A. shu2.CHUNG, SHU. Shyreswood, Willi.SHERWOOD. Sidgwick, Henry (1838–1900), English philosopher, economist, and educator. Best known for The Methods of Ethics(1874), he also wrote the still valuable Outlines of the History of Ethics (1886), as well as studies of economics, politics, literature, and alleged psychic phenomena. He was deeply involved in the founding of the first college for women at Cbridge University, where he was a professor. In the Methods Sidgwick tried to assess the rationality of the main ways in which ordinary people go about making moral decisions. He thought that our common “methods of ethics” fall into three main patterns. One is articulated by the philosophical theory known as intuitionism. This is the view that we can just see straight off either what particular act is right or what binding rule or general principle we ought to follow. Another common method is spelled out by philosophical egoism, the view that we ought in each act to get as much good as we can for ourselves. The third widely used method is represented by utilitarianism, the view that we ought in each case to bring about as much good as possible for everyone affected. Can any or all of the methods prescribed by these views be rationally defended? And how are they related to one another? By fring his philosophical questions in these terms, Sidgwick made it centrally important to exine the chief philosophical theories of morality in the light of the commonsense morals of his time. He thought that no theory wildly at odds with commonsense morality would be acceptable. Intuitionism, a theory originating with Butler, transmitted by Reid, and most systematically expounded during the Victorian era by Whewell, was widely held to be the best available defense of Christian morals. Egoism was thought by many to be the clearest pattern of practical rationality and was frequently said to be compatible with Christianity. And J. S. Mill had argued that utilitarianism was both rational and in accord with common sense. But whatever their relation to ordinary morality, the theories seemed to be seriously at odds with one another. Exining all the chief commonsense precepts and rules of morality, such as that promises ought to be kept, Sidgwick argued that none is truly self-evident or intuitively certain. Each fails to guide us at certain points where we expect it to answer our practical questions. Utilitarianism, he found, could provide a complicated method for filling these gaps. But what ultimately justifies utilitarianism is certain very general axioms seen intuitively to be true. ong them are the principles that what is right in one case must be right in any similar case, and that we ought to aim at good generally, not just at some particular part of it. Thus intuitionism and utilitarianism can be reconciled. When taken together they yield a complete and justifiable method of ethics that is in accord with common sense. What then of egoism? It can provide as complete a method as utilitarianism, and it also involves a self-evident axiom. But its results often contradict those of utilitarianism. Hence there is a serious problem. The method that instructs us to act always for the good generally and the method that tells one to act solely for one’s own good are equally rational. Since the two methods give contradictory directions, while each method rests on self-evident axioms, it shriek operator Sidgwick, Henry 843   843 seems that practical reason is fundentally incoherent. Sidgwick could see no way to solve the problem. Sidgwick’s bleak conclusion has not been generally accepted, but his Methods is widely viewed as one of the best works of moral philosophy ever written. His account of classical utilitarianism is unsurpassed. His discussions of the general status of morality and of particular moral concepts are enduring models of clarity and acumen. His insights about the relations between egoism and utilitarianism have stimulated much valuable research. And his way of fring moral problems, by asking about the relations between commonsense beliefs and the best available theories, has set much of the agenda for twentiethcentury ethics.  BUTLER, EGOISM, INTUITION, UTILITARIANISM. J.B.S. Siger of Brabant (c.1240–84), French philosopher, an activist in the philosophical and political struggles both within the arts faculty and between arts and theology at Paris during the 1260s and 1270s. He is usually regarded as a leader of a “radical Aristotelianism” that owed much to Liber de causis, to Avicenna, and to Averroes. He taught that everything originates through a series of emanations from a first cause. The world and each species (including the human species) are eternal. Human beings share a single active intellect. There is no good reason to think that Siger advanced the view that there was a double truth, one in theology and another in natural philosophy. It is difficult to distinguish Siger’s own views from those he attributes to “the Philosophers” and thus to know the extent to which he held the heterodox views he taught as the best interpretation of the prescribed texts in the arts curriculum. In any case, Siger was summoned before the French Inquisition in 1276, but fled Paris. He was never convicted of heresy, but it seems that the condemnations at Paris in 1277 were partially directed at his teaching. He was stabbed to death by his clerk in Orvieto (then the papal seat) in 1284.

signifier, a vocal sound or a written symbol. The concept owes its modern formulation to the Swiss linguist Saussure. Rather than using the older conception of sign and referent, he divided the sign itself into two interrelated parts, a signifier and a signified. The signified is the concept and the signifier is either a vocal sound or writing. The relation between the two, according to Saussure, is entirely arbitrary, in that signifiers tend to vary with different languages. We can utter or write ‘vache’, ‘cow’, or ‘vaca’, depending on our native language, and still come up with the se signified (i.e., concept).  SAUSSURE, SEMIOSIS. M.Ro. signs, theory of.THEORY OF SIGNS. silhak.KOREAN PHILOSOPHY. similarity, exact.IDENTITY. Simmel, Georg (1858–1918), German philosopher and one of the founders of sociology as a distinct discipline. Born and educated in Berlin, he was a popular lecturer at its university. But the unorthodoxy of his interests and unprofessional writing style probably kept him from being offered a regular professorship until 1914, and then only at the provincial university of Strasbourg. He died four years later. His writings ranged from conventional philosophical topics – with books on ethics, philosophy of history, education, religion, and the philosophers Kant, Schopenhauer, and Nietzsche – to books on Rembrandt, Goethe, and the philosophy of money. He wrote numerous essays on various artists and poets, on different cities, and on such themes as love, adventure, she, and on being a stranger, as well as on many specifically sociological topics. Simmel was regarded as a Kulturphilosoph who meditated on his themes in an insightful and digressive rather than scholarly and systematic style. Though late in life he sketched a unifying Lebensphilosophie (philosophy of life) that considers all works and structures of culture as products of different forms of human experience, Simmel has remained of interest primarily for a multiplicity of insights into specific topics. .

Simplicius (sixth century A.D.), Greek Neoplatonist philosopher born in Cilicia on the southeast coast of modern Turkey. His surviving works are extensive commentaries on Aristotle’s On the Heavens, Physics, and Categories, and on the Encheiridion of Epictetus. The authenticity of the commentary on Aristotle’s On the Soul attributed to Simplicius has been disputed. He studied with monius in Alexandria, and with Dascius, the last known head of the Platonist school in Athens. Justinian closed the school in 529. Two or three years later a group of philosophers, including Dascius and Simplicius, visited the court of the Sassanian king Khosrow I (Chosroes) but soon returned to the Byzantine Empire under a guarantee of their right to maintain their own beliefs. It is generally agreed that most, if not all, of Simplicius’s extant works date from the period after his stay with Khosrow. But there is no consensus about where Simplicius spent his last years (both Athens and Harran have been proposed recently), or whether he resumed teaching philosophy; his commentaries, unlike most of the others that survive from that period, are scholarly treatises rather than classroom expositions. Simplicius’s Aristotle commentaries are the most valuable extant works in the genre. He is our source for many of the fragments of the preSocratic philosophers, and he frequently invokes material from now-lost commentaries and philosophical works. He is a deeply committed Neoplatonist, convinced that there is no serious conflict between the philosophies of Plato and Aristotle. The view of earlier scholars that his Encheiridion commentary embodies a more moderate Platonism associated with Alexandria is now generally rejected. Simplicius’s virulent defense of the eternity of the world in response to the attack of the Christian John Philoponus illustrates the intellectual vitality of paganism at a time when the Mediterranean world had been officially Christian for about three centuries. 
COMMENTARIES ON ARISTOTLE. I.M. simplification, rule of.CONJUNCTION ELIMINATION. simulation theory, the view that one represents the mental activities and processes of others by mentally simulating them, i.e., generating similar activities and processes in oneself. By simulating them, one can anticipate their product or outcome; or, where this is already known, test hypotheses about their starting point. For exple, one anticipates the product of another’s theoretical or practical inferences from given premises by making inferences from the se premises oneself; or, knowing what the product is, one retroduces the premises. In the case of practical reasoning, to reason from the se premises would typically require indexical adjustments, such as shifts in spatial, temporal, and personal “point of view,” to place oneself in the other’s physical and epistemic situation insofar as it differs from one’s own. One may also compensate for the other’s reasoning capacity and level of expertise, if possible, or modify one’s character and outlook as an actor might, to fit the other’s background. Such adjustments, even when insufficient for making decisions in the role of the other, allow one to discriminate between action options likely to be attractive or unattractive to the agent. One would be prepared for the former actions and surprised by the latter. The simulation theory is usually considered an alternative to an assumption (sometimes called the “theory theory”) that underlies much recent philosophy of mind: that our commonsense understanding of people rests on a speculative theory, a “folk psychology” that posits mental states, events, and processes as unobservables that explain behavior. Some hold that the simulation theory undercuts the debate between philosophers who consider folk psychology a respectable theory and those (the eliminative materialists) who reject it. Unlike earlier writing on empathic understanding and historical reenactment, discussions of the simulation theory often appeal to empirical findings, particularly experimental results in developmental psychology. They also theorize about the mechanism that would accomplish simulation: presumably one that calls up computational resources ordinarily used for engagement with the world, but runs them off-line, so that their output is not “endorsed” or acted upon and their inputs are not limited to those that would regulate one’s own behavior. Although simulation theorists agree that the ascription of mental states to others relies chiefly on simulation, they differ on the nature of selfascription. Some (especially Robert Gordon and simple supposition simulation theory 845   845 Jane Heal, who independently proposed the theory) give a non-introspectionist account, while others (especially Goldman) lean toward a more traditional introspectionist account. The simulation theory has affected developmental psychology as well as branches of philosophy outside the philosophy of mind, especially aesthetics and philosophy of the social sciences. Some philosophers believe it sheds light on traditional topics such as the problem of other minds, referential opacity, broad and narrow content, and the peculiarities of self-knowledge. 
singular term, an expression, such as ‘Zeus’, ‘the President’, or ‘my favorite chair’, that can be the grmatical subject of what is semantically a subject-predicate sentence. By contrast, a general term, such as ‘table’ or ‘sw’ is one that can serve in predicative position. It is also often said that a singular term is a word or phrase that could refer or ostensibly refer, on a given occasion of use, only to a single object, whereas a general term is predicable of more than one object. Singular terms are thus the expressions that replace, or are replaced by, individual variables in applications of such quantifier rules as universal instantiation and existential generalization or flank ‘%’ in identity statements. 
THEORY OF DESCRIPTIONS. G.F.S. Sinn.FREGE. sinsign.PEIRCE. Sittlichkeit.HEGEL. situation ethics, a kind of anti-theoretical, caseby-case applied ethics in vogue largely in some European and erican religious circles for twenty years or so following World War II. It is characterized by the insistence that each moral choice must be determined by one’s particular context or situation – i.e., by a consideration of the outcomes that various possible courses of action might have, given one’s situation. To that degree, situation ethics has affinities to both act utilitarianism and traditional casuistry. But in contrast to utilitarianism, situation ethics rejects the idea that there are universal or even fixed moral principles beyond various indeterminate commitments or ideals (e.g., to Christian love or humanism). In contrast to traditional casuistry, it rejects the effort to construct general guidelines from a case or to classify the salient features of a case so that it can be used as a precedent. The anti-theoretical stance of situation ethics is so thoroughgoing that writers identified with the position have not carefully described its connections to consequentialism, existentialism, intuitionism, personalism, pragmatism, relativism, or any other developed philosophical view to which it appears to have some affinity. 
Siva, one of the great gods of Hinduism (with Vishnu and Brahman), auspicious controller of karma and ssara, destroyer but also giver of life. He is worshiped in Saivism with his consort Sakti. A variety of deities are regarded in Saivism as forms of Siva, with the consequence that polytheism is moved substantially toward monotheism. K.E.Y. six emotions (the).CH’ING. skepticism, in the most common sense, the refusal to grant that there is any knowledge or justification. Skepticism can be either partial or total, either practical or theoretical, and, if theoretical, either moderate or radical, and either of knowledge or of justification. Skepticism is partial iff (if and only if) it is restricted to particular fields of beliefs or propositions, and total iff not thus restricted. And if partial, it may be highly restricted, as is the skepticism for which religion is only opium, or much more general, as when not only is religion simulator, universal skepticism 846   846 called opium, but also history bunk and metaphysics meaningless. Skepticism is practical iff it is an attitude of deliberately withholding both belief and disbelief, accompanied perhaps (but not necessarily) by commitment to a recommendation for people generally, that they do likewise. (Practical skepticism can of course be either total or partial, and if partial it can be more or less general.) Skepticism is theoretical iff it is a commitment to the belief that there is no knowledge (justified belief) of a certain kind or of certain kinds. Such theoretical skepticism comes in several varieties. It is moderate and total iff it holds that there is no certain superknowledge (superjustified belief) whatsoever, not even in logic or mathematics, nor through introspection of one’s present experience. It is radical and total iff it holds that there isn’t even any ordinary knowledge (justified belief) at all. It is moderate and partial, on the other hand, iff it holds that there is no certain superknowledge (superjustified belief) of a certain specific kind K or of certain specific kinds K1, . . . , Kn (less than the totality of such kinds). It is radical and partial, finally, iff it holds that there isn’t even any ordinary knowledge (justified belief) at all of that kind K or of those kinds K1, . . . , Kn. Greek skepticism can be traced back to Socrates’ epistemic modesty. Suppressed by the prolific theoretical virtuosity of Plato and Aristotle, such modesty reasserted itself in the skepticism of the Academy led by Arcesilaus and later by Carneades. In this period began a long controversy pitting Academic Skeptics against the Stoics Zeno and (later) Chrysippus, and their followers. Prolonged controversy, sometimes heated, softened the competing views, but before agreement congealed Anesidemus broke with the Academy and reclaimed the arguments and tradition of Pyrrho, who wrote nothing, but whose Skeptic teachings had been preserved by a student, Timon (in the third century B.C.). After enduring more than two centuries, neoPyrrhonism was summarized, c.200 A.D., by Sextus Empiricus (Outlines of Pyrrhonism and Adversus mathematicos). Skepticism thus ended as a school, but as a philosophical tradition it has been influential long after that, and is so even now. It has influenced strongly not only Cicero (Academica and De natura deorum), St. Augustine (Contra academicos), and Montaigne (“Apology for Raimund Sebond”), but also the great historical philosophers of the Western tradition, from Descartes through Hegel. Both on the Continent and in the Anglophone sphere a new wave of skepticism has built for decades, with logical positivism, deconstructionism, historicism, neopragmatism, and relativism, and the writings of Foucault (knowledge as a mask of power), Derrida (deconstruction), Quine (indeterminacy and eliminativism), Kuhn (incommensurability), and Rorty (solidarity over objectivity, edification over inquiry). At the se time a rising tide of books and articles continues other philosophical traditions in metaphysics, epistemology, ethics, etc. It is interesting to compare the cognitive disengagement recommended by practical skepticism with the affective disengagement dear to stoicism (especially in light of the epistemological controversies that long divided Academic Skepticism from the Stoa, giving rise to a rivalry dominant in Hellenistic philosophy). If believing and favoring are positive, with disbelieving and disfavoring their respective negative counterparts, then the magnitude of our happiness (positive) or unhappiness (negative) over a given matter is determined by the product of our belief/disbelief and our favoring/disfavoring with regard to that se matter. The fear of unhappiness may lead one stoically to disengage from affective engagement, on either side of any matter that escapes one’s total control. And this is a kind of practical affective “skepticism.” Similarly, if believing and truth are positive, with disbelieving and falsity their respective negative counterparts, then the magnitude of our correctness (positive) or error (negative) over a given matter is determined by the product of our belief/disbelief and the truth/falsity with regard to that se matter (where the positive or negative magnitude of the truth or falsity at issue may be determined by some measure of “theoretical importance,” though alternatively one could just assign all truths a value of !1 and all falsehoods a value of †1). The fear of error may lead one skeptically to disengage from cognitive engagement, on either side of any matter that involves risk of error. And this is “practical cognitive skepticism.” We wish to attain happiness and avoid unhappiness. This leads to the disengagement of the stoic. We wish to attain the truth and avoid error. This leads to the disengagement of the skeptic, the practical skeptic. Each opts for a conservative policy, but one that is surely optional, given just the reasoning indicated. For in avoiding unhappiness the stoic also forfeits a corresponding possibility of happiness. And in avoiding error the skeptic also forfeits a corresponding possibility to grasp a truth. These twin policies appeal to conservatism in our nature, and will reasonably preskepticism skepticism 847   847 vail in the lives of those committed to avoiding risk as a parount objective. For this very desire must then be given its due, if we judge it rational. Skepticism is instrumental in the birth of modern epistemology, and modern philosophy, at the hands of Descartes, whose skepticism is methodological but sophisticated and well informed by that of the ancients. Skepticism is also a main force, perhaps the main force, in the broad sweep of Western philosophy from Descartes through Hegel. Though preeminent in the history of our subject, skepticism since then has suffered decades of neglect, and only in recent years has reclaimed much attention and even applause. Some recent influential discussions go so far as to grant that we do not know we are not dreing. But they also insist one can still know when there is a fire before one. The key is to analyze knowledge as a kind of appropriate responsiveness to its object truth: what is required is that the subject “track” through his belief the truth of what he believes. (S tracks the truth of P iff: S would not believe P if P were false.) Such an analysis of tracking, when conjoined with the view of knowledge as tracking, enables one to explain how one can know about the fire even if for all one knows it is just a dre. The crucial fact here is that even if P logically entails Q, one may still be able to track the truth of P though unable to track the truth of Q. (Nozick, Philosophical Explanations, 1981.) Many problems arise in the literature on this approach. One that seems especially troubling is that though it enables us to understand how contingent knowledge of our surroundings is possible, the tracking account falls short of enabling an explanation of how such knowledge on our part is actual. To explain how one knows that there is a fire before one (F), according to the tracking account one presumably would invoke one’s tracking the truth of F. But this leads deductively almost immediately to the claim that one is not dreing: Not D. And this is not something one can know, according to the tracking account. So how is one to explain one’s justification for making that claim? Most troubling of all here is the fact that one is now cornered by the tracking account into making combinations of claims of the following form: I  quite sure that p, but I have no knowledge at all as to whether p. And this seems incoherent. A Cartesian dre argument that has had much play in recent discussions of skepticism is made explicit (by Barry Stroud, The Significance of Philosophical Scepticism, 1984) as follows. One knows that if one knows F then one is not dreing, in which case if one really knows F then one must know one is not dreing. However, one does not know one is not dreing. So one does not know F. Q.E.D. And why does one fail to know one is not dreing? Because in order to know it one would need to know that one has passed some test, some empirical procedure to determine whether one is dreing. But any such supposed test – say, pinching oneself – could just be part of a dre, and dreing one passes the test would not suffice to show one was not dreing. However, might one not actually be witnessing the fire, and passing the test – and be doing this in wakeful life, not in a dre – and would that not be compatible with one’s knowing of the fire and of one’s wakefulness? Not so, according to the argument, since in order to know of the fire one needs prior knowledge of one’s wakefulness. But in order to know of one’s wakefulness one needs prior knowledge of the results of the test procedure. But this in turn requires prior knowledge that one is awake and not dreing. And we have a vicious circle. We might well hold that it is possible to know one is not dreing even in the absence of any positive test result, or at most in conjunction with coordinate (not prior) knowledge of such a positive indication. How in that case would one know of one’s wakefulness? Perhaps one would know it by believing it through the exercise of a reliable faculty. Perhaps one would know it through its coherence with the rest of one’s comprehensive and coherent body of beliefs. Perhaps both. But, it may be urged, if these are the ways one might know of one’s wakefulness, does not this answer commit us to a theory of the form of A below? (A) The proposition that p is something one knows (believes justifiably) if and only if one satisfies conditions C with respect to it. And if so, are we not caught in a vicious circle by the question as to how we know – what justifies us in believing – (A) itself? This is far from obvious, since the requirement that we must submit to some test procedure for wakefulness and know ourselves to test positively, before we can know ourselves to be awake, is itself a requirement that seems to lead equally to a principle such as (A). At least it is not evident why the proposal of the externalist or of the coherentist as to how we know we are awake should be any more closely related to a general principle like (A) than is the (foundationalist?) notion skepticism skepticism 848   848 that in order to know we are awake we need epistemically prior knowledge that we test positive in a way that does not presuppose already acquired knowledge of the external world. The problem of how to justify the likes of (A) is a descendant of the (in)fous “problem of the criterion,” reclaimed in the sixteenth century and again in this century (by Chisholm, Theory of Knowledge, 1966, 1977, and 1988) but much used already by the Skeptics of antiquity under the title of the diallelus. About explanations of our knowledge or justification in general of the form indicated by (A), we are told that they are inadequate in a way revealed by exples like the following. Suppose we want to know how we know anything at all about the external world, and part of the answer is that we know the location of our neighbor by knowing the location of her car (in her driveway). Surely this would be at best the beginning of an answer that might be satisfactory in the end (if recursive, e.g.), but as it stands it cannot be satisfactory without supplementation. The objection here is based on a comparison between two appeals: the appeal of a theorist of knowledge to a principle like (A) in the course of explaining our knowledge or justification in general, on one side; and the appeal to the car’s location in explaining our knowledge of facts about the external world, on the other side. This comparison is said to be fatal to the bition to explain our knowledge or justification in general. But are the appeals relevantly analogous? One important difference is this. In the exple of the car, we explain the presence, in some subject S, of a piece of knowledge of a certain kind (of the external world) by appeal to the presence in S of some other piece of knowledge of the very se kind. So there is an immediate problem if it is our aim to explain how any knowledge of the sort in question ever comes to be (unless the explication is just beginning, and is to turn recursive in due course). Now of course (A) is theoretically bitious, and in that respect the theorist who gives an answer of the form of (A) is doing something similar to what must be done by the protagonist in our car exple, someone who is attempting to provide a general explanation of how any knowledge of a certain kind comes about. Nevertheless, there is also an important difference, nely that the theorist whose aim it is to give a general account of the form of (A) need not attribute any knowledge whatsoever to a subject S in explaining how that subject comes to have a piece of knowledge (or justified belief). For there is no need to require that the conditions C appealed to by principle (A) must be conditions that include attribution of any knowledge at all to the subject in question. It is true that in claiming that (A) itself meets conditions C, and that it is this which explains how one knows (A), we do perhaps take ourselves to know (A) or at least to be justified in believing it. But if so, this is the inevitable lot of anyone who seriously puts forward any explanation of anything. And it is quite different from a proposal that part of what explains how something is known or justifiably believed includes a claim to knowledge or justified belief of the very se sort. In sum, as in the case of one’s belief that one is awake, the belief in something of the form of (A) may be said to be known, and in so saying one does not commit oneself to adducing an ulterior reason in favor of (A), or even to having such a reason in reserve. One is of course committed to being justified in believing (A), perhaps even to having knowledge that (A). But it is not at all clear that the only way to be justified in believing (A) is by way of adduced reasons in favor of (A), or that one knows (A) only if one adduces strong enough reasons in its favor. For we often know things in the absence of such adduced reasons. Thus consider one’s knowledge through memory of which door one used to come into a room that has more than one open door. Returning finally to (A), in its case the explanation of how one knows it may, once again, take the form of an appeal to the justifying power of intellectual virtues or of coherence – or both. Recent accounts of the nature of thought and representation undermine a tradition of wholesale doubt about nature, whose momentum is hard to stop, and threatens to leave the subject alone and restricted to a solipsism of the present moment. But there may be a way to stop skepticism early – by questioning the possibility of its being sensibly held, given what is required for meaningful language and thought. Consider our grasp of observable shape and color properties that objects around us might have. Such grasp seems partly constituted by our discriminatory abilities. When we discern a shape or a color we do so presumably in terms of a distinctive impact that such a shape or color has on us. We are put systematically into a certain distinctive state X when we are appropriately related, in good light, with our eyes open, etc., to the presence in our environment of that shape or color. What makes one’s distinctive state one of thinking of sphericity rather than something else, is said to be that it is a state tied by systematic causal relations to skepticism skepticism 849   849 the presence of sphericity in one’s normal environment. A light now flickers at the end of the skeptic’s tunnel. In doubt now is the coherence of traditional skeptical reflection. Indeed, our predecessors in earlier centuries may have moved in the wrong direction when they attempted a reduction of nature to the mind. For there is no way to make sense of one’s mind without its contents, and there is no way to make sense of how one’s mind can have such contents except by appeal to how one is causally related to one’s environment. If the very existence of that environment is put in doubt, that cuts the ground from under one’s ability reasonably to characterize one’s own mind, or to feel any confidence about its contents. Perhaps, then, one could not be a “brain in a vat.” Much contemporary thought about language and the requirements for meaningful language thus suggests that a lot of knowledge must already be in place for us to be able to think meaningfully about a surrounding reality, so as to be able to question its very existence. If so, then radical skepticism answers itself. For if we can so much as understand a radical skepticism about the existence of our surrounding reality, then we must already know a great deal about that reality. 
Sceptics, those ancient thinkers who developed sets of arguments to show either that no knowledge is possible (Academic Skepticism) or that there is not sufficient or adequate evidence to tell if any knowledge is possible. If the latter is the case then these thinkers advocated suspending judgment on all question concerning knowledge (Pyrrhonian Skepticism). Academic Skepticism gets its ne from the fact that it was formulated in Plato’s Academy in the third century B.C., starting from Socrates’ statement, “All I know is that I know nothing.” It was developed by Arcesilaus (c.268–241) and Carneades (c.213–129), into a series of arguments, directed principally against the Stoics, purporting to show that nothing can be known. The Academics posed a series of problems to show that what we think we know by our senses may be unreliable, and that we cannot be sure about the reliability of our reasoning. We do not possess a guaranteed standard or criterion for ascertaining which of our judgments is true or false. Any purported knowledge claim contains some element that goes beyond immediate experience. If this claim constituted knowledge we would have to know something that could not possibly be false. The evidence for the claim would have to be based on our senses and our reason, both of which are to some degree unreliable. So the knowledge claim may be false or doubtful, and hence cannot constitute genuine knowledge. So, the Academics said that nothing is certain. The best we can attain is probable information. Carneades is supposed to have developed a form of verification theory and a kind of probabilism, similar in some ways to that of modern pragmatists and positivists. Academic Skepticism dominated the philosophizing of Plato’s Academy until the first century B.C. While Cicero was a student there, the Academy turned from Skepticism to a kind of eclectic philosophy. Its Skeptical arguments have been preserved in Cicero’s works, Academia and De natura deorum, in Augustine’s refutation in his Contra academicos, as well as in the summary presented by Diogenes Laertius in his lives of the Greek philosophers. Skeptical thinking found another home in the school of the Pyrrhonian Skeptics, probably connected with the Methodic school of medicine in Alexandria. The Pyrrhonian movement traces its origins to Pyrrho of Elis (c.360–275 B.C.) and his student Timon (c.315–225 B.C.). The stories about Pyrrho indicate that he was not a theoretician but a practical doubter who would not make any judgments that went beyond immediate experience. He is supposed to have refused to judge if what appeared to be chariots might strike him, and he was often rescued by his students because he would not make any commitments. His concerns were apparently ethical. He sought to avoid unhappiness that might result from accepting any value theory. If the theory was at all doubtful, accepting it might lead to mental anguish. The theoretical formulation of Pyrrhonian Skepticism is attributed to Aenesidemus (c.100– 40 B.C.). Pyrrhonists regarded dogmatic philosophers and Academic Skeptics as asserting too much, the former saying that something can be known and the latter that nothing can be known. The Pyrrhonists suspended judgments on all questions on which there was any conflicting evidence, including whether or not anything could be known. The Pyrrhonists used some of the se kinds of arguments developed by Arcesilaus and skepticism, moral Skeptics 850   850 Carneades. Aenesidemus and those who followed after him organized the arguments into sets of “tropes” or ways of leading to suspense of judgment on various questions. Sets of ten, eight, five, and two tropes appear in the only surviving writing of the Pyrrhonists, the works of Sextus Empiricus, a third-century A.D. teacher of Pyrrhonism. Each set of tropes offers suggestions for suspending judgment about any knowledge claims that go beyond appearances. The tropes seek to show that for any claim, evidence for and evidence against it can be offered. The disagreements ong human beings, the variety of human experiences, the fluctuation of human judgments under differing conditions, illness, drunkenness, etc., all point to the opposition of evidence for and against each knowledge claim. Any criterion we employ to sift and weigh the evidence can also be opposed by countercriterion claims. Given this situation, the Pyrrhonian Skeptics sought to avoid committing themselves concerning any kind of question. They would not even commit themselves as to whether the arguments they put forth were sound or not. For them Skepticism was not a statable theory, but rather an ability or mental attitude for opposing evidence for and against any knowledge claim that went beyond what was apparent, that dealt with the non-evident. This opposing produced an equipollence, a balancing of the opposing evidences, that would lead to suspending judgment on any question. Suspending judgment led to a state of mind called “ataraxia,” quietude, peace of mind, or unperturbedness. In such a state the Skeptic was no longer concerned or worried or disturbed about matters beyond appearances. The Pyrrhonians averred that Skepticism was a cure for a disease called “dogmatism” or rashness. The dogmatists made assertions about the non-evident, and then bece disturbed about whether these assertions were true. The disturbance bece a mental disease or disorder. The Pyrrhonians, who apparently were medical doctors, offered relief by showing the patient how and why he should suspend judgment instead of dogmatizing. Then the disease would disappear and the patient would be in a state of tranquillity, the peace of mind sought by Hellenistic dogmatic philosophers. The Pyrrhonists, unlike the Academic Skeptics, were not negative dogmatists. The Pyrrhonists said neither that knowledge is possible nor that it is impossible. They remained seekers, while allowing the Skeptical arguments and the equipollence of evidences to act as a purge of dogmatic assertions. The purge eliminates all dogmas as well as itself. After this the Pyrrhonist lives undogmatically, following natural inclinations, immediate experience, and the laws and customs of his society, without ever judging or committing himself to any view about them. In this state the Pyrrhonist would have no worries, and yet be able to function naturally and according to law and custom. The Pyrrhonian movement disappeared during the third century A.D., possibly because it was not considered an alternative to the powerful religious movements of the time. Only scant traces of it appear before the Renaissance, when the texts of Sextus and Cicero were rediscovered and used to formulate a modern skeptical view by such thinkers as Montaigne and Charron. 
SEXTUS EMPIRICUS, SKEPTICISM. R.H.P. Skolem, Thoralf (1887–1963), Norwegian mathematician. A pioneer of mathematical logic, he made fundental contributions to recursion theory, set theory (in particular, the proposal and formulation in 1922 of the axiom of replacement), and model theory. His most important results for the philosophy of mathematics are the (Downward) Löwenheim-Skolem theorem (1919, 1922), whose first proof involved putting formulas into Skolem normal form; and a demonstration (1933–34) of the existence of models of (first-order) arithmetic not isomorphic to the standard model. Both results exhibit the extreme non-categoricity that can occur with formulations of mathematical theories in firstorder logic, and caused Skolem to be skeptical about the use of formal systems, particularly for set theory, as a foundation for mathematics. The existence of non-standard models is actually a consequence of the completeness and first incompleteness theorems (Gödel, 1930, 1931), for these together show that there must be sentences of arithmetic (if consistent) that are true in the standard model, but false in some other, nonisomorphic model. However, Skolem’s result describes a general technique for constructing such models. Skolem’s theorem is now more easily proved using the compactness theorem, an easy consequence of the completeness theorem. The Löwenheim-Skolem theorem produces a similar problem of characterization, the Skolem paradox, pointed out by Skolem in 1922. Roughly, this says that if first-order set theory has a model, it must also have a countable model whose continuum is a countable set, and thus apparently non-standard. This does not contraSkolem, Thoralf Skolem, Thoralf 851   851 dict Cantor’s theorem, which merely demands that the countable model contain as an element no function that maps its natural numbers one-toone onto its continuum, although there must be such a function outside the model. Although usually seen as limiting first-order logic, this result is extremely fruitful technically, providing one basis of the proof of the independence of the continuum hypothesis from the usual axioms of set theory given by Gödel in 1938 and Cohen in 1963. This connection between independence results and the existence of countable models was partially foreseen by Skolem in 1922.
slippery slope argument, an argument that an action apparently unobjectionable in itself would set in motion a train of events leading ultimately to an undesirable outcome. The metaphor portrays one on the edge of a slippery slope, where taking the first step down will inevitably cause sliding to the bottom. For exple, it is sometimes argued that voluntary euthanasia should not be legalized because this will lead to killing unwanted people, e.g. the handicapped or elderly, against their will. In some versions the argument aims to show that one should intervene to stop an ongoing train of events; e.g., it has been argued that suppressing a Communist revolution in one country was necessary to prevent the spread of Communism throughout a whole region via the so-called domino effect. Slippery slope arguments with dubious causal assumptions are often classed as fallacies under the general heading of the fallacy of the false cause. This argument is also sometimes called the wedge argument. There is some disagreement concerning the breadth of the category of slippery slope arguments. Some would restrict the term to arguments with evaluative conclusions, while others construe it more broadly so as to include other sorites arguments. 
Smart, J(ohn) J(ieson) C(arswell) (b.1920), British-born Australian philosopher whose ne is associated with three doctrines in particular: the mind–body identity theory, scientific realism, and utilitarianism. A student of Ryle’s at Oxford, he rejected logical behaviorism in favor of what ce to be known as Australian materialism. This is the view that mental processes – and, as Armstrong brought Smart to see, mental states – cannot be explained simply in terms of behavioristic dispositions. In order to make good sense of how the ordinary person talks of them we have to see them as brain processes – and states – under other nes. Smart developed this identity theory of mind and brain, under the stimulus of his colleague, U. T. Place, in “Sensations and Brain Processes” (Philosophical Review, 1959). It bece a mainstay of twentieth-century philosophy. Smart endorsed the materialist analysis of mind on the grounds that it gave a simple picture that was consistent with the findings of science. He took a realist view of the claims of science, rejecting phenomenalism, instrumentalism, and the like, and he argued that commonsense beliefs should be maintained only so far as they are plausible in the light of total science. Philosophy and Scientific Realism (1963) gave forceful expression to this physicalist picture of the world, as did some later works. He attracted attention in particular for his argument that if we take science seriously then we have to endorse the four-dimensional picture of the universe and recognize as an illusion the experience of the passing of time. He published a number of defenses of utilitarianism, the best known being his contribution to J. J. C. Smart and Bernard Willis, Utilitarianism, For and Against (1973). He gave new life to act utilitarianism at a time when utilitarians were few and most were attached to rule utilitarianism or other restricted forms of the doctrine. 
Smith, Ad (1723–90), Scottish economist and philosopher, a founder of modern political economy and a major contributor to ethics and the psychology of morals. His first published work was The Theory of Moral Sentiments (1759). This book immediately made him fous, and earned the praise of thinkers of the stature of Hume, Burke, and Kant. It sought to answer two questions: Wherein does virtue consist, and by means of what psychological principles do we deterSkolem-Löwenheim theorem Smith, Ad 852   852 mine this or that to be virtuous or the contrary? His answer to the first combined ancient Stoic and Aristotelian views of virtue with modern views derived from Hutcheson and others. His answer to the second built on Hume’s theory of sympathy – our ability to put ourselves imaginatively in the situation of another – as well as on the notion of the “impartial spectator.” Smith throughout is skeptical about metaphysical and theological views of virtue and of the psychology of morals. The self-understanding of reasonable moral actors ought to serve as the moral philosopher’s guide. Smith’s discussion ranges from the motivation of wealth to the psychological causes of religious and political fanaticism. Smith’s second published work, the immensely influential An Inquiry into the Nature and Causes of the Wealth of Nations (1776), attempts to explain why free economic, political, and religious markets are not only more efficient, when properly regulated, but also more in keeping with nature, more likely to win the approval of an impartial spectator, than monopolistic alternatives. Taken together, Smith’s two books attempt to show how virtue and liberty can complement each other. He shows full awareness of the potentially dehumanizing force of what was later called “capitalism,” and sought remedies in schemes for liberal education and properly organized religion. Smith did not live to complete his system, which was to include an analysis of “natural jurisprudence.” We possess student notes of his lectures on jurisprudence and on rhetoric, as well as several impressive essays on the evolution of the history of science and on the fine arts. 
social action, a subclass of human action involving the interaction ong agents and their mutual orientation, or the action of groups. While all intelligible actions are in some sense social, social actions must be directed to others. Talcott Parsons (1902–79) captured what is distinctive about social action in his concept of “double contingency,” and similar concepts have been developed by other philosophers and sociologists, including Weber, Mead, and Wittgenstein. Whereas in monological action the agents’ fulfilling their purposes depends only on contingent facts about the world, the success of social action is also contingent on how other agents react to what the agent does and how that agent reacts to other agents, and so on. An agent successfully communicates, e.g., not merely by finding some appropriate expression in an existing symbol system, but also by understanding how other agents will understand him. Ge theory describes and explains another type of double contingency in its analysis of the interdependency of choices and strategies ong rational agents. Ges are also significant in two other respects. First, they exemplify the cognitive requirements for social interaction, as in Mead’s analysis of agents’ perspective taking: as a subject (“I”), I  an object for others (“me”), and can take a third-person perspective along with others on the interaction itself (“the generalized other”). Second, ges are regulated by shared rules and mediated through symbolic meanings; Wittgenstein’s private language argument establishes that rules cannot be followed “privately.” Some philosophers, such as Peter Winch, conclude from this argument that rule-following is a basic feature of distinctively social action. Some actions are social in the sense that they can only be done in groups. Individualists (such as Weber, Jon Elster, and Raimo Tuomela) believe that these can be analyzed as the sum of the actions of each individual. But holists (such as Marx, Durkheim, and Margaret Gilbert) reject this reduction and argue that in social actions agents must see themselves as members of a collective agent. Holism has stronger or weaker versions: strong holists, such as Durkheim and Hegel, see the collective subject as singular, the collective consciousness of a society. Weak holists, such as Gilbert and Habermas, believe that social actions have plural, rather than singular, collective subjects. Holists generally establish the plausibility of their view by referring to larger contexts and sequences of action, such as shared symbol systems or social institutions. Explanations of social actions thus refer not only to the mutual expectations of agents, but also to these larger causal contexts, shared meanings, and mechanisms of coordination. Theories of social action must then explain the emergence of social order, and proposals range from Hobbes’s coercive authority to Talcott Parsons’s value consensus about shared goals ong the members of groups. 
social biology, the understanding of social behavior, especially human social behavior, from a biological perspective; often connected with the political philosophy of social Darwinism. social action social biology 853   853 Charles Darwin’s Origin of Species highlighted the significance of social behavior in organic evolution, and in the Descent of Man, he showed how significant such behavior is for humans. He argued that it is a product of natural selection; but it was not until 1964 that the English biologist Willi Hilton showed precisely how such behavior could evolve, nely through “kin selection” as an aid to the biological wellbeing of close relatives. Since then, other models of explanation have been proposed, extending the theory to non-relatives. Best known is the self-describing “reciprocal altruism.” Social biology bece notorious in 1975 when Edward O. Wilson published a major treatise on the subject: Sociobiology: The New Synthesis. Accusations of sexism and racism were leveled because Wilson suggested that Western social systems are biologically innate, and that in some respects males are stronger, more aggressive, more naturally promiscuous than females. Critics argued that all social biology is in fact a manifestation of social Darwinism, a nineteenthcentury philosophy owing more to Herbert Spencer than to Charles Darwin, supposedly legitimating extreme laissez-faire economics and an unbridled societal struggle for existence. Such a charge is extremely serious, for as Moore pointed out in his Principia Ethica (1903), Spencer surely commits the naturalistic fallacy, inasmuch as he is attempting to derive the way that the world ought to be from the way that it is. Naturally enough, defenders of social biology, or “sociobiology” as it is now better known, denied vehemently that their science is mere right-wing ideology by another ne. They pointed to many who have drawn very different social conclusions on the basis of biology. Best known is the Russian anarchist Kropotkin, who argued that societies are properly based on a biological propensity to mutual aid. With respect to contemporary debate, it is perhaps fairest to say that sociobiology, particularly that pertaining to humans, did not always show sufficient sensitivity toward all societal groups – although certainly there was never the crude racism of the fascist regimes of the 1930s. However, recent work is far more careful in these respects. Now, indeed, the study of social behavior from a biological perspective is one of the most exciting and forward-moving branches of the life sciences. 

social choice theory, the theory of the rational action of a group of agents. Important social choices are typically made over alternative means of collectively providing goods. These might be goods for individual members of the group, or more characteristically, public goods, goods such that no one can be excluded from enjoying their benefits once they are available. Perhaps the most central aspect of social choice theory concerns rational individual choice in a social context. Since what is rational for one agent to do will often depend on what is rational for another to do and vice versa, these choices take on a strategic dimension. The prisoner’s dilemma illustrates how it can be very difficult to reconcile individual and collectively rational decisions, especially in non-dynic contexts. There are many situations, particularly in the provision of public goods, however, where simple prisoner’s dilemmas can be avoided and more manageable coordination problems remain. In these cases, individuals may find it rational to contractually or conventionally bind themselves to courses of action that lead to the greater good of all even though they are not straightforwardly utility-maximizing for particular individuals. Establishing the rationality of these contracts or conventions is one of the leading problems of social choice theory, because coordination can collapse if a rational agent first agrees to cooperate and then reneges and becomes a free rider on the collective efforts of others. Other forms of uncooperative behaviors such as violating rules established by society or being deceptive about one’s preferences pose similar difficulties. Hobbes attempted to solve these problems by proposing that people would agree to submit to the authority of a sovereign whose punitive powers would make uncooperative behavior an unattractive option. It has also been argued that cooperation is rational if the concept of rationality is extended beyond utility-maximizing in the right way. Other arguments stress benefits beyond selfinterest that accrue to cooperators. Another major aspect of social choice theory concerns the rational action of a powerful central authority, or social planner, whose mission is to optimize the social good. Although the central planner may be instituted by rational individual choice, this part of the theory simply assumes the institution. The planner’s task of making a onetime allocation of resources to the production of various commodities is tractable if social good or social utility is known as a function of various commodities. When the planner must take into account dynical considerations, the technical social choice theory social choice theory 854   854 problems are more difficult. This economic growth theory raises important ethical questions about intergenerational conflict. The assumption of a social analogue of the individual utility functions is particularly worrisome. It can be shown formally that taking the results of majority votes can lead to intransitive social orderings of possible choices and it is, therefore, a generally unsuitable procedure for the planner to follow. Moreover, under very general conditions there is no way of aggregating individual preferences into a consistent social choice function of the kind needed by the planner. 

social constructivism, also called social constructionism, any of a variety of views which claim that knowledge in some area is the product of our social practices and institutions, or of the interactions and negotiations between relevant social groups. Mild versions hold that social factors shape interpretations of the world. Stronger versions maintain that the world, or some significant portion of it, is somehow constituted by theories, practices, and institutions. Defenders often move from mild to stronger versions by insisting that the world is accessible to us only through our interpretations, and that the idea of an independent reality is at best an irrelevant abstraction and at worst incoherent. (This philosophical position is distinct from, though distantly related to, a view of the se ne in social and developmental psychology, associated with such figures as Piaget and Lev Vygotsky, which sees learning as a process in which subjects actively construct knowledge.) Social constructivism has roots in Kant’s idealism, which claims that we cannot know things in themselves and that knowledge of the world is possible only by imposing pre-given categories of thought on otherwise inchoate experience. But where Kant believed that the categories with which we interpret and thus construct the world are given a priori, contemporary constructivists believe that the relevant concepts and associated practices vary from one group or historical period to another. Since there are no independent standards for evaluating conceptual schemes, social constructivism leads naturally to relativism. These views are generally thought to be present in Kuhn’s The Structure of Scientific Revolutions, which argues that observation and methods in science are deeply theory-dependent and that scientists with fundentally different assumptions (or paradigms) effectively live in different worlds. Kuhn thus offers a view of science in opposition to both scientific realism (which holds that theory-dependent methods can give us knowledge of a theory-independent world) and empiricism (which draws a sharp line between theory and observation). Kuhn was reluctant to accept the apparently radical consequences of his views, but his work has influenced recent social studies of science, whose proponents frequently embrace both relativism and strong constructivism. Another influence is the principle of symmetry advocated by David Bloor and Barry Barnes, which holds that sociologists should explain the acceptance of scientific views in the se way whether they believe those views to be true or to be false. This approach is elaborated in the work of Harry Collins, Steve Woolgar, and others. Constructivist themes are also prominent in the work of feminist critics of science such as Sandra Harding and Donna Haraway, and in the complex views of Bruno Latour. Critics, such as Richard Boyd and Philip Kitcher, while applauding the detailed case studies produced by constructivists, claim that the positive arguments for constructivism are fallacious, that it fails to account satisfactorily for actual scientific practice, and that like other versions of idealism and relativism it is only dubiously coherent. 

social contract, an agreement either between the people and their ruler, or ong the people in a community. The idea of a social contract has been used in arguments that differ in what they aim to justify or explain (e.g., the state, conceptions of justice, morality), what they take the problem of justification to be, and whether or not they presuppose a moral theory or purport to be a moral theory. Traditionally the term has been used in arguments that attempt to explain the nature of political obligation and/or the kind of responsibility that rulers have to their subjects. Philosophers such as Plato, Hobbes, Locke, Rousseau, and Kant argue that human beings would find life in a prepolitical “state of nature” (a state that some argue is also presocietal) so difficult that they would agree – either with one another or with a social constructivism social contract 855   855 prospective ruler – to the creation of political institutions that each believes would improve his or her lot. Note that because the argument explains political or social cohesion as the product of an agreement ong individuals, it makes these individuals conceptually prior to political or social units. Marx and other socialist and communitarian thinkers have argued against conceptualizing an individual’s relationship to her political and social community in this way. Have social contracts in political societies actually taken place? Hume ridicules the idea that they are real, and questions what value makebelieve agreements can have as explanations of actual political obligations. Although many social contract theorists admit that there is almost never an explicit act of agreement in a community, nonetheless they maintain that such an agreement is implicitly made when members of the society engage in certain acts through which they give their tacit consent to the ruling regime. It is controversial what actions constitute giving tacit consent: Plato and Locke maintain that the acceptance of benefits is sufficient to give such consent, but some have argued that it is wrong to feel obliged to those who foist upon us benefits for which we have not asked. It is also unclear how much of an obligation a person can be under if he gives only tacit consent to a regime. How are we to understand the terms of a social contract establishing a state? When the people agree to obey the ruler, do they surrender their own power to him, as Hobbes tried to argue? Or do they merely lend him that power, reserving the right to take it from him if and when they see fit, as Locke maintained? If power is merely on loan to the ruler, rebellion against him could be condoned if he violates the conditions of that loan. But if the people’s grant of power is a surrender, there are no such conditions, and the people could never be justified in taking back that power via revolution. Despite controversies surrounding their interpretation, social contract arguments have been important to the development of modern democratic states: the idea of the government as the creation of the people, which they can and should judge and which they have the right to overthrow if they find it wanting, contributed to the development of democratic forms of polity in the eighteenth and nineteenth centuries. erican and French revolutionaries explicitly acknowledged their debts to social contract theorists such as Locke and Rousseau. In the twentieth century, the social contract idea has been used as a device for defining various moral conceptions (e.g. theories of justice) by those who find its focus on individuals useful in the development of theories that argue against views (e.g. utilitarianism) that allow individuals to be sacrificed for the benefit of the group. 

social epistemology, the study of the social dimensions or determinants of knowledge, or the ways in which social factors promote or perturb the quest for knowledge. Some writers use the term ‘knowledge’ loosely, as designating mere belief. On their view social epistemology should simply describe how social factors influence beliefs, without concern for the rationality or truth of these beliefs. Many historians and sociologists of science, e.g., study scientific practices in the se spirit that anthropologists study native cultures, remaining neutral about the referential status of scientists’ constructs or the truth-values of their beliefs. Others try to show that social factors like political or professional interests are causally operative, and take such findings to debunk any objectivist pretensions of science. Still other writers retain a normative, critical dimension in social epistemology, but do not presume that social practices necessarily undermine objectivity. Even if knowledge is construed as true or rational belief, social practices might enhance knowledge acquisition. One social practice is trusting the opinions of authorities, a practice that can produce truth if the trusted authorities are genuinely authoritative. Such trust may also be perfectly rational in a complex world, where division of epistemic labor is required. Even a scientist’s pursuit of extra-epistemic interests such as professional rewards may not be antithetical to truth in favorable circumstances. Institutional provisions, e.g., judicial rules of evidence, provide another exple of social factors. Exclusionary rules might actually serve the cause of truth or accuracy in judgment if the excluded evidence would tend to mislead or prejudice jurors. 
social philosophy, broadly the philosophy of socisocial Darwinism social philosophy 856   856 ety, including the philosophy of social science (and many of its components, e.g., economics and history), political philosophy, most of what we now think of as ethics, and philosophy of law. But we may distinguish two narrower senses. In one, it is the conceptual theory of society, including the theory of the study of society – the common part of all the philosophical studies mentioned. In the other, it is a normative study, the part of moral philosophy that concerns social action and individual involvement with society in general. The central job of social philosophy in the first of these narrower senses is to articulate the correct notion or concept of society. This would include formulating a suitable definition of ‘society’; the question is then which concepts are better for which purposes, and how they are related. Thus we may distinguish “thin” and “thick” conceptions of society. The former would identify the least that can be said before we cease talking about society at all – say, a number of people who interact, whose actions affect the behavior of their fellows. Thicker conceptions would then add such things as community rules, goals, customs, and ideals. An important empirical question is whether any interacting groups ever do lack such things and what if anything is common to the rules, etc., that actual societies have. Descriptive social philosophy will obviously border on, if not merge into, social science itself, e.g. into sociology, social psychology, or economics. And some outlooks in social philosophy will tend to ally with one social science as more distinctively typical than others – e.g., the individualist view looks to economics, the holist to sociology. A major methodological controversy concerns holism versus individualism. Holism maintains that (at least some) social groups must be studied as units, irreducible to their members: we cannot understand a society merely by understanding the actions and motivations of its members. Individualism denies that societies are “organisms,” and holds that we can understand society only in that way. Classic German sociologists (e.g., Weber) distinguished between Gesellschaft, whose paradigm is the voluntary association, such as a chess club, whose activities are the coordinated actions of a number of people who intentionally join that group in order to pursue the purposes that identify it; and Gemeinschaft, whose members find their identities in that group. Thus, the French are not a group whose members teed up with like-minded people to form French society. They were French before they had separate individual purposes. The holist views society as essentially a Gemeinschaft. Individualists agree that there are such groupings but deny that they require a separate kind of irreducibly collective explanation: to understand the French we must understand how typical French individuals behave – compared, say, with the Germans, and so on. The methods of Western economics typify the analytical tendencies of methodological individualism, showing how we can understand large-scale economic phenomena in terms of the rational actions of particular economic agents. (Cf. Ad Smith’s invisible hand thesis: each economic agent seeks only his own good, yet the result is the macrophenomenal good of the whole.) Another pervasive issue concerns the role of intentional characterizations and explanations in these fields. Ordinary people explain behavior by reference to its purposes, and they formulate these in terms that rely on public rules of language and doubtless many other rules. To understand society, we must hook onto the selfunderstanding of the people in that society (this view is termed Verstehen). Recent work in philosophy of science raises the question whether intentional concepts can really be fundental in explaining anything, and whether we must ultimately conceive people as in some sense material systems, e.g. as computer-like. Major questions for the progr of replicating human intelligence in data-processing terms (cf. artificial intelligence) are raised by the symbolic aspects of interaction. Additionally, we should note the emergence of sociobiology as a potent source of explanations of social phenomena. Normative social philosophy, in turn, tends inevitably to merge into either politics or ethics, especially the part of ethics dealing with how people ought to treat others, especially in large groups, in relation to social institutions or social structures. This contrasts with ethics in the sense concerned with how individual people may attain the good life for themselves. All such theories allot major importance to social relations; but if one’s theory leaves the individual wide freedom of choice, then a theory of individually chosen goods will still have a distinctive subject matter. The normative involvements of social philosophy have paralleled the foregoing in important ways. Individualists have held that the good of a society must be analyzed in terms of the goods of its individual members. Of special importance has been the view that society must respect indisocial philosophy social philosophy 857   857 vidual rights, blocking certain actions alleged to promote social good as a whole. Organicist philosophers such as Hegel hold that it is the other way around: the state or nation is higher than the individual, who is rightly subordinated to it, and individuals have fundental duties toward the groups of which they are members. Outrightly fascist versions of such views are unpopular today, but more benign versions continue in modified form, notably by communitarians. Socialism and especially communism, though focused originally on economic aspects of society, have characteristically been identified with the organicist outlook. Their extreme opposite is to be found in the libertarians, who hold that the right to individual liberty is fundental in society, and that no institutions may override that right. Libertarians hold that society ought to be treated strictly as an association, a Gesellschaft, even though they might not deny that it is ontogenetically Gemeinschaft. They might agree that religious groups, e.g., cannot be wholly understood as separate individuals. Nevertheless, the libertarian holds that religious and cultural practices may not be interfered with or even supported by society. Libertarians are strong supporters of free-market economic methods, and opponents of any sort of state intervention into the affairs of individuals. Social Darwinism, advocating the “survival of the socially fittest,” has sometimes been associated with the libertarian view. Insofar as there is any kind of standard view on these matters, it combines elements of both individualism and holism. Typical social philosophers today accept that society has duties, not voluntary for individual members, to support education, health, and some degree of welfare for all. But they also agree that individual rights are to be respected, especially civil rights, such as freedom of speech and religion. How to combine these two apparently disparate sets of ideas into a coherent whole is the problem. (John Rawls’s celebrated Theory of Justice, 1971, is a contemporary classic that attempts to do just that.)  .
Socinianism, an unorthodox Christian religious movement originating in the sixteenth century from the work of Italian reformer Laelius Socinus (“Sozzini” in Italian; 1525–62) and his nephew Faustus Socinus (1539–1603). Born in Siena of a patrician fily, Laelius was widely read in theology. Influenced by the evangelical movement in Italy, he made contact with noted Protestant reformers, including Calvin and Melanchthon, some of whom questioned his orthodoxy. In response, he wrote a confession of faith (one of a small number of his writings to have survived). After Laelius’s death, his work was carried on by his nephew, Faustus, whose writings (including On the Authority of Scripture, 1570; On the Savior Jesus Christ, 1578; and On Predestination, 1578) expressed heterodox views. Faustus believed that Christ’s nature was entirely human, that souls did not possess immortality by nature (though there would be selective resurrection for believers), that invocation of Christ in prayer was permissible but not required, and he argued against predestination. After publication of his 1578 writings, Faustus was invited to Transylvania and Poland to engage in a dispute within the Reformed churches there. He decided to make his permanent residence in Poland, which, through his tireless efforts, bece the center of the Socinian movement. The most important document of this movement was the Racovian Catechism, published in 1605 (shortly after Faustus’s death). The Minor church of Poland, centered at Racov, bece the focal point of the movement. Its academy attracted hundreds of students and its publishing house produced books in many languages defending Socinian ideas. Socinianism, as represented by the Racovian Catechism and other writings collected by Faustus’s Polish disciples, involves the views of Laelius and especially Faustus Socinus, aligned with the anti-Trinitarian views of the Polish Minor church (founded in 1556). It accepts Christ’s message as the definitive revelation of God, but regards Christ as human, not divine; rejects the natural immortality of the soul, but argues for the selective resurrection of the faithful; rejects the doctrine of the Trinity; emphasizes human free will against predestinationism; defends pacifism and the separation of church and state; and argues that reason – not creeds, dogmatic tradition, or church authority – must be the final interpreter of Scripture. Its view of God is temporalistic: God’s eternity is existence at all times, not timelessness, and God knows future free actions only when they occur. (In these respects, the Socinian view of God anticipates aspects of modern process theology.) Socinianism was suppressed in Poland in 1658, but it had already spread to other European social sciences, philosophy of the Socinianism 858   858 countries, including Holland (where it appealed to followers of Arminius) and England, where it influenced the Cbridge Platonists, Locke, and other philosophers, as well as scientists like Newton. In England, it also influenced and was closely associated with the development of Unitarianism.  TRINITARIANISM. R.H.K. Socinus, Faustus.SOCINIANISM. Socinus, Laelus.

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