Carnap, r: the inventor,
with Russell, of the pirot. -- G.-born
philosopher, one of the leaders of the Vienna Circle, a movement loosely
called logical positivism or logical empiricism. He made fundamental
contributions to semantics and the philosophy of science, as well as to the
foundations of probability and inductive logic. He was a staunch advocate of,
and active in, the unity of science movement. Carnap received his Ph.D. in
philosophy from the of Jena in 1. His
first major work was Die Logische Aufbau der Welt 8, in which he sought to
apply the new logic recently developed by Frege and by Russell and Whitehead to
problems in the philosophy of science. Although influential, it was not tr.
until 7, when it appeared as The Logical Structure of the World. It was
important as one of the first clear and unambiguous statements that the
important work of philosophy concerned logical structure: that language and its
logic were to be the focus of attention. In 5 Carnap left his native G.y for
the United States, where he taught at the
of Chicago and then at UCLA. Die Logiche Syntax der Sprach 4 was rapidly
tr. into English, appearing as The Logical Syntax of Language 7. This was
followed in 1 by Introduction to Semantics, and in 2 by The Formalization of
Logic. In 7 Meaning and Necessity appeared; it provided the groundwork for a
modal logic that would mirror the meticulous semantic development of
first-order logic in the first two volumes. One of the most important concepts
introduced in these volumes was that of a state description. A state
description is the linguistic counterpart of a possible world: in a given
language, the most complete description of the world that can be given. Carnap
then turned to one of the most pervasive and important problems to arise in
both the philosophy of science and the theory of meaning. To say that the
meaning of a sentence is given by the conditions under which it would be
verified as the early positivists did or that a scientific theory is verified
by predictions that turn out to be true, is clearly to speak loosely. Absolute
verification does not occur. To carry out the program of scientific philosophy
in a realistic way, we must be able to speak of the support given by
inconclusive evidence, either in providing epistemological justification for
scientific knowledge, or in characterizing the meanings of many of the terms of
our scientific language. This calls for an understanding of probability, or as
Carnap preferred to call it, degree of confirmation. We must distinguish
between two senses of probability: what he called probability1, corresponding
to credibility, and probability2, corresponding to the frequency or empirical
conception of probability defended by Reichenbach and von Mises. ‘Degree of
confirmation’ was to be the formal concept corresponding to credibility. The
first book on this subject, written from the same point of view as the works on
semantics, was The Logical Foundations of Probability 0. The goal was a logical
definition of ‘ch,e’: the degree of confirmation of a hypothesis h, relative to
a body of evidence e, or the degree of rational belief that one whose total
evidence was e should commit to h. Of course we must first settle on a formal
language in which to express the hypothesis and the evidence; for this Carnap
chooses a first-order language based on a finite number of one-place
predicates, and a countable number of individual constants. Against this
background, we perform the following reductions: ‘ch,e’ represents a
conditional probability; thus it can be represented as the ratio of the
absolute probabilCarlyle, Thomas Carnap, Rudolf 118 118 ity of h & e to the absolute
probability of e. Absolute probabilities are represented by the value of a
measure function m, defined for sentences of the language. The problem is to
define m. But every sentence in Carnap’s languages is equivalent to a disjunction
of state descriptions; the measure to be assigned to it must, according to the
probability calculus, be the sum of the measures assigned to its constituent
state descriptions. Now the problem is to define m for state descriptions.
Recall that state descriptions were part of the machinery Carnap developed
earlier. The function c† is a confirmation function based on the assignment of
equal measures to each state description. It is inadequate, because if h is not
entailed by e, c†h,e % m†h, the a priori measure assigned to h. We cannot
“learn from experience.” A measure that does not have that drawback is m*,
which is based on the assignment of equal measures to each structure
description. A structure description is a set of state descriptions; two state
descriptions belong to the same structure description just in case one can be
obtained from the other by a permutation of individual constants. Within the
structure description, equal values are assigned to each state description. In
the next book, The Continuum of Inductive Methods, Carnap takes the rate at
which we learn from experience to be a fundamental parameter of his assignments
of probability. Like measures on state descriptions, the values of the
probability of the singular predictive inference determine all other
probabilities. The “singular predictive inference” is the inference from the
observation that individual 1 has one set of properties, individual 2 has
another set of properties, etc., to the conclusion: individual j will have
property k. Finally, in the last works Studies in Inductive Logic and
Probability, vols. I [1] and II [0], edited with Richard Jeffrey Carnap offered
two long articles constituting his Basic System of Inductive Logic. This system
is built around a language having families of attributes e.g., color or sound
that can be captured by predicates. The basic structure is still monadic, and
the logic still lacks identity, but there are more parameters. There is a
parameter l that reflects the “rate of learning from experience”; a parameter h
that reflects an inductive relation between values of attributes belonging to
families. With the introduction of arbitrary parameters, Carnap was edging
toward a subjective or personalistic view of probability. How far he was
willing to go down the subjectivist garden path is open to question; that he
discovered more to be relevant to inductive logic than the “language” of
science seems clear. Carnap’s work on probability measures on formal languages
is destined to live for a long time. So too is his work on formal semantics. He
was a staunch advocate of the fruitfulness of formal studies in philosophy, of
being clear and explicit, and of offering concrete examples. Beyond the
particular philosophical doctrines he advocated, these commitments characterize
his contribution to philosophy.
Cartesianism – The word
‘Cartesianism’ shows that the ‘de’ that the English adored (“How to become a
Brit” – Mykes) is mostly otiose! -- Descartes, R.: v. H. P. Grice, “Descartes
on clear and distinct perception,” -- philosopher, a founder of the “modern
age” and perhaps the most important figure in the intellectual revolution of
the seventeenth century in which the traditional systems of understanding based
on Aristotle were challenged and, ultimately, overthrown. His conception of
philosophy was all-embracing: it encompassed mathematics and the physical
sciences as well as psychology and ethics, and it was based on what he claimed
to be absolutely firm and reliable metaphysical foundations. His approach to
the problems of knowledge, certainty, and the nature of the human mind played a
major part in shaping the subsequent development of philosophy. Life and works.
Descartes was born in a small town near Tours that now bears his name. He was
brought up by his maternal grandmother his mother having died soon after his
birth, and at the age of ten he was sent to the recently founded Jesuit of La Flèche in Anjou, where he remained as a
boarding pupil for nine years. At La Flèche he studied classical literature and
traditional classics-based subjects such as history and rhetoric as well as
natural philosophy based on the Aristotelian system and theology. He later
wrote of La Flèche that he considered it “one of the best schools in Europe,”
but that, as regards the philosophy he had learned there, he saw that “despite
being cultivated for many centuries by the best minds, it contained no point
which was not disputed and hence doubtful.” At age twenty-two having taken a
law degree de re Descartes, René 223
223 at Poitiers, Descartes set out on a series of travels in Europe,
“resolving,” as he later put it, “to seek no knowledge other than that which
could be found either in myself or the great book of the world.” The most
important influence of this early period was Descartes’s friendship with the
Dutchman Isaac Beeckman, who awakened his lifelong interest in mathematics a science in which he discerned precision and
certainty of the kind that truly merited the title of scientia Descartes’s term
for genuine systematic knowledge based on reliable principles. A considerable
portion of Descartes’s energies as a young man was devoted to pure mathematics:
his essay on Geometry published in 1637 incorporated results discovered during
the 1620s. But he also saw mathematics as the key to making progress in the
applied sciences; his earliest work, the Compendium Musicae, written in 1618
and dedicated to Beeckman, applied quantitative principles to the study of
musical harmony and dissonance. More generally, Descartes saw mathematics as a
kind of paradigm for all human understanding: “those long chains composed of
very simple and easy reasonings, which geometers customarily use to arrive at
their most difficult demonstrations, gave me occasion to suppose that all the
things which fall within the scope of human knowledge are interconnected in the
same way” Discourse on the Method, Part II. In the course of his travels,
Descartes found himself closeted, on November 10, 1619, in a “stove-heated
room” in a town in southern G.y, where after a day of intense meditation, he
had a series of vivid dreams that convinced him of his mission to found a new
scientific and philosophical system. After returning to Paris for a time, he
emigrated to Holland in 1628, where he was to live though with frequent changes
of address for most of the rest of his life. By 1633 he had ready a treatise on
cosmology and physics, Le Monde; but he cautiously withdrew the work from
publication when he heard of the condemnation of Galileo by the Inquisition for
rejecting as Descartes himself did the traditional geocentric theory of the
universe. But in 1637 Descartes released for publication, in , a sample of his
scientific work: three essays entitled the Optics, Meteorology, and Geometry.
Prefaced to that selection was an autobiographical introduction entitled
Discourse on the Method of rightly conducting one’s reason and reaching the
truth in the sciences. This work, which includes discussion of a number of
scientific issues such as the circulation of the blood, contains in Part IV a
summary of Descartes’s views on knowledge, certainty, and the metaphysical
foundations of science. Criticisms of his arguments here led Descartes to
compose his philosophical masterpiece, the Meditations on First Philosophy,
published in Latin in 1641 a dramatic
account of the voyage of discovery from universal doubt to certainty of one’s
own existence, and the subsequent struggle to establish the existence of God,
the nature and existence of the external world, and the relation between mind
and body. The Meditations aroused enormous interest among Descartes’s
contemporaries, and six sets of objections by celebrated philosophers and
theologians including Mersenne, Hobbes, Arnauld, and Gassendi were published in
the same volume as the first edition a seventh set, by the Jesuit Pierre
Bourdin, was included in the second edition of 1642. A few years later,
Descartes published, in Latin, a mammoth compendium of his metaphysical and
scientific views, the Principles of Philosophy, which he hoped would become
a textbook to rival the standard texts
based on Aristotle. In the later 1640s, Descartes became interested in
questions of ethics and psychology, partly as a result of acute questions about
the implications of his system raised by Princess Elizabeth of Bohemia in a
long and fruitful correspondence. The fruits of this interest were published in
1649 in a lengthy treatise entitled The
Passions of the Soul. The same year, Descartes accepted after much hesitation an
invitation to go to Stockholm to give philosophical instruction to Queen
Christina of Sweden. He was required to provide tutorials at the royal palace
at five o’clock in the morning, and the strain of this break in his habits he
had maintained the lifelong custom of lying in bed late into the morning led to
his catching pneumonia. He died just short of his fifty-fourth birthday. The
Cartesian system. In a celebrated simile, Descartes described the whole of
philosophy as like a tree: the roots are metaphysics, the trunk physics, and
the branches are the various particular sciences, including mechanics,
medicine, and morals. The analogy captures at least three important features of
the Cartesian system. The first is its insistence on the essential unity of
knowledge, which contrasts strongly with the Aristotelian conception of the
sciences as a series of separate disciplines, each with its own methods and
standards of precision. The sciences, as Descartes put it in an early notebook,
are all “linked together” in a sequence that is in principle as simple and
straightforward as the series of numbers. The second point conveyed by the tree
simile is the utility of philosophy for ordinary living: the tree is valued for
its fruits, and these are gathered, Descartes points out, “not from the roots
or the trunk but from the ends of the branches”
the practical sciences. Descartes frequently stresses that his principal
motivation is not abstract theorizing for its own sake: in place of the
“speculative philosophy taught in the Schools,” we can and should achieve
knowledge that is “useful in life” and that will one day make us “masters and
possessors of nature.” Third, the likening of metaphysics or “first philosophy”
to the roots of the tree nicely captures the Cartesian belief in what has come
to be known as foundationalism the view
that knowledge must be constructed from the bottom up, and that nothing can be
taken as established until we have gone back to first principles. Doubt and the
foundations of belief. In Descartes’s central work of metaphysics, the Meditations,
he begins his construction project by observing that many of the preconceived
opinions he has accepted since childhood have turned out to be unreliable; so
it is necessary, “once in a lifetime” to “demolish everything and start again,
right from the foundations.” Descartes proceeds, in other words, by applying
what is sometimes called his method of doubt, which is explained in the earlier
Discourse on the Method: “Since I now wished to devote myself solely to the
search for truth, I thought it necessary to . . . reject as if absolutely false
everything in which one could imagine the least doubt, in order to see if I was
left believing anything that was entirely indubitable.” In the Meditations we
find this method applied to produce a systematic critique of previous beliefs,
as follows. Anything based on the senses is potentially suspect, since “I have
found by experience that the senses sometimes deceive, and it is prudent never
to trust completely those who have deceived us even once.” Even such seemingly
straightforward judgments as “I am sitting here by the fire” may be false,
since there is no guarantee that my present experience is not a dream. The
dream argument as it has come to be called leaves intact the truths of
mathematics, since “whether I am awake or asleep two and three make five”; but
Descartes now proceeds to introduce an even more radical argument for doubt
based on the following dilemma. If there is an omnipotent God, he could
presumably cause me to go wrong every time I count two and three; if, on the
other hand, there is no God, then I owe my origins not to a powerful and
intelligent creator, but to some random series of imperfect causes, and in this
case there is even less reason to suppose that my basic intuitions about mathematics
are reliable. By the end of the First Meditation, Descartes finds himself in a
morass of wholesale doubt, which he dramatizes by introducing an imaginary
demon “of the utmost power and cunning” who is systematically deceiving him in
every possible way. Everything I believe in
“the sky, the earth and all external things” might be illusions that the demon has devised
in order to trick me. Yet this very extremity of doubt, when pushed as far as
it will go, yields the first indubitable truth in the Cartesian quest for
knowledge the existence of the thinking
subject. “Let the demon deceive me as much as he may, he can never bring it
about that I am nothing, so long as I think I am something. . . . I am, I
exist, is certain, as often as it is put forward by me or conceived in the
mind.” Elsewhere, Descartes expresses this cogito argument in the famous phrase
“Cogito ergo sum” “I am thinking, therefore I exist”. Having established his
own existence, Descartes proceeds in the Third Meditation to make an inventory
of the ideas he finds within him, among which he identifies the idea of a
supremely perfect being. In a much criticized causal argument he reasons that
the representational content or “objective reality” of this idea is so great
that it cannot have originated from inside his own imperfect mind, but must
have been planted in him by an actual perfect being God. The importance of God in the Cartesian
system can scarcely be overstressed. Once the deity’s existence is established,
Descartes can proceed to reinstate his belief in the world around him: since
God is perfect, and hence would not systematically deceive, the strong
propensity he has given us to believe that many of our ideas come from external
objects must, in general, be sound; and hence the external world exists Sixth
Meditation. More important still, Descartes uses the deity to set up a reliable
method for the pursuit of truth. Human beings, since they are finite and
imperfect, often go wrong; in particular, the data supplied by the senses is often,
as Descartes puts it, “obscure and confused.” But each of us can nonetheless
avoid error, provided we remember to withhold judgment in such doubtful cases
and confine ourselves to the “clear and distinct” perceptions of the pure
intellect. A reliable intellect was God’s gift to man, and if we use it with
the greatest posDescartes, René Descartes, René 225 225 sible care, we can be sure of avoiding
error Fourth Meditation. In this central part of his philosophy, Descartes
follows in a long tradition going back to Augustine with its ultimate roots in
Plato that in the first place is skeptical about the evidence of the senses as
against the more reliable abstract perceptions of the intellect, and in the
second place sees such intellectual knowledge as a kind of illumination derived
from a higher source than man’s own mind. Descartes frequently uses the ancient
metaphor of the “natural light” or “light of reason” to convey this notion that
the fundamental intuitions of the intellect are inherently reliable. The label
‘rationalist’, which is often applied to Descartes in this connection, can be
misleading, since he certainly does not rely on reason alone: in the
development of his scientific theories he allows a considerable role to
empirical observation in the testing of hypotheses and in the understanding of
the mechanisms of nature his “vortex theory” of planetary revolutions is based
on observations of the behavior of whirlpools. What is true, nonetheless, is
that the fundamental building blocks of Cartesian science are the innate ideas
chiefly those of mathematics whose reliability Descartes takes as guaranteed by
their having been implanted in the mind by God. But this in turn gives rise to
a major problem for the Cartesian system, which was first underlined by some of
Descartes’s contemporaries notably Mersenne and Arnauld, and which has come to
be known as the Cartesian circle. If the reliability of the clear and distinct
perceptions of the intellect depends on our knowledge of God, then how can that
knowledge be established in the first place? If the answer is that we can prove
God’s existence from premises that we clearly and distinctly perceive, then
this seems circular; for how are we entitled, at this stage, to assume that our
clear and distinct perceptions are reliable? Descartes’s attempts to deal with
this problem are not entirely satisfactory, but his general answer seems to be
that there are some propositions that are so simple and transparent that, so
long as we focus on them, we can be sure of their truth even without a divine
guarantee. Cartesian science and dualism. The scientific system that Descartes
had worked on before he wrote the Meditations and that he elaborated in his
later work, the Principles of Philosophy, attempts wherever possible to reduce
natural phenomena to the quantitative descriptions of arithmetic and geometry:
“my consideration of matter in corporeal things,” he says in the Principles,
“involves absolutely nothing apart from divisions, shapes and motions.” This
connects with his metaphysical commitment to relying only on clear and distinct
ideas. In place of the elaborate apparatus of the Scholastics, with its
plethora of “substantial forms” and “real qualities,” Descartes proposes to
mathematicize science. The material world is simply an indefinite series of
variations in the shape, size, and motion of the single, simple, homogeneous
matter that he terms res extensa “extended substance”. Under this category he
includes all physical and biological events, even complex animal behavior,
which he regards as simply the result of purely mechanical processes for
non-human animals as mechanical automata, see Discourse, Part V. But there is
one class of phenomena that cannot, on Descartes’s view, be handled in this
way, namely conscious experience. Thought, he frequently asserts, is completely
alien to, and incompatible with, extension: it occupies no space, is unextended
and indivisible. Hence Descartes puts forward a dualistic theory of substance:
in addition to the res extensa that makes up the material universe, there is
res cogitans, or thinking substance, which is entirely independent of matter.
And each conscious individual is a unique thinking substance: “This ‘I’ that is, the soul, by which I am what I am,
is entirely distinct from the body, and would not fail to be what it is even if
the body did not exist.” Descartes’s arguments for the incorporeality of the
soul were challenged by his contemporaries and have been heavily criticized by
subsequent commentators. In the Discourse and the Second Meditation, he lays
great stress on his ability to form a conception of himself as an existing
subject, while at the same time doubting the existence of any physical thing;
but this, as the critics pointed out, seems inadequate to establish the
conclusion that he is a res cogitans a
being whose whole essence consists simply in thought. I may be able to imagine
myself without a body, but this hardly proves that I could in reality exist
without one see further the Synopsis to the Meditations. A further problem is
that our everyday experience testifies to the fact that we are not incorporeal
beings, but very much creatures of flesh and blood. “Nature teaches me by the
sensations of pain, hunger, thirst and so on,” Descartes admits in the Sixth
Meditation, “that I am not merely present in my body as a sailor is present in
a ship, but that I am very closely Descartes, René Descartes, René 226 226 joined and as it were intermingled with
it.” Yet how can an incorporeal soul interact with the body in this way? In his
later writings, Descartes speaks of the “union of soul and body” as a
“primitive notion” see letters to Elizabeth of May 21 and June 28, 1643; by
this he seems to have meant that, just as there are properties such as length
that belong to body alone, and properties such as understanding that belong to mind alone, so there are items
such as sensations that are irreducibly psychophysical, and that belong to me
insofar as I am an embodied consciousness. The explanation of such psychophysical
events was the task Descartes set himself in his last work, The Passions of the
Soul; here he developed his theory that the pineal gland in the brain was the
“seat of the soul,” where data from the senses were received via the nervous
system, and where bodily movements were initiated. But despite the wealth of
physiological detail Descartes provides, the central philosophical problems
associated with his dualistic account of humans as hybrid entities made up of
physical body and immaterial soul are, by common consent, not properly sorted
out. Influence. Despite the philosophical difficulties that beset the Cartesian
system, Descartes’s vision of a unified understanding of reality has retained a
powerful hold on scientists and philosophers ever since. His insistence that
the path to progress in science lay in the direction of quantitative
explanations has been substantially vindicated. His attempt to construct a
system of knowledge by starting from the subjective awareness of the conscious
self has been equally important, if only because so much of the epistemology of
our own time has been a reaction against the autocentric perspective from which
Descartes starts out. As for the Cartesian theory of the mind, it is probably
fair to say that the dualistic approach is now widely regarded as raising more
problems than it solves. But Descartes’s insistence that the phenomena of
conscious experience are recalcitrant to explanation in purely physical terms
remains deeply influential, and the cluster of profound problems that he raised
about the nature of the human mind and its relation to the material world are
still very far from being adequately resolved.
Cartesianism -- Elizabeth of Bohemia 160, G. Princess whose
philosophical reputation rests on her correspondence with Descartes. The most
heavily discussed portion of this correspondence focuses on the relationship
between the mind and the body and on Descartes’s claim that the mind-body union
is a simple notion. Her discussions of free will and of the nature of the
sovereign good also have philosophical interest.
Cassirer, E. philosopher and intellectual historian. He
was born in the G. city of Breslau now Wroclaw, Poland and educated at various
G. universities. He completed his studies in 9 at Marburg under Hermann Cohen,
founder of the Marburg School of neo-Kantianism. Cassirer lectured at the of Berlin from 6 to 9, then accepted a
professorship at the newly founded of
Hamburg. With the rise of Nazism he left G.y in 3, going first to a visiting
appointment at All Souls , Oxford 3 35 and then to a professorship at the of Göteborg, Sweden 541. In 1 he went to the
United States; he taught first at Yale 144 and then at Columbia 445. Cassirer’s
works may be divided into those in the history of philosophy and culture and
those that present his own systematic thought. The former include major
editions of Leibniz and Kant; his four-volume study The Problem of Knowledge
vols. 13, 620; vol. 4, 0, which traces the subject from Nicholas of Cusa to the
twentieth century; and individual works on Descartes, Leibniz, Kant, Rousseau,
Goethe, the Renaissance, the Enlightenment, and English Platonism. The latter
include his multivolume The Philosophy of Symbolic Forms 329, which presents a
philosophy of human culture based on types of symbolism found in myth,
language, and mathematical science; and individual works concerned with
problems in such fields as logic, psychology, aesthetics, linguistics, and
concept formation in the humanities. Two of his best-known works are An Essay
on Man 4 and The Myth of the State 6. Cassirer did not consider his systematic
philosophy and his historical studies as separate endeavors; each grounded the
other. Because of his involvement with the Marburg School, his philosophical
position is frequently but mistakenly typed as neo-Kantian. Kant is an
important influence on him, but so are Hegel, Herder, Wilhelm von Humboldt,
Goethe, Leibniz, and Vico. Cassirer derives his principal philosophical
concept, symbolic form, most directly from Heinrich Hertz’s conception of
notation in mechanics and the conception of the symbol in art of the Hegelian
aesthetician, Friedrich Theodor Vischer. In a wider sense his conception of
symbolic form is a transformation of “idea” and “form” within the whole tradition
of philosophical idealism. Cassirer’s conception of symbolic form is not based
on a distinction between the symbolic and the literal. In his view all human
knowledge depends on the power to form experience through some type of
symbolism. The forms of human knowledge are coextensive with forms of human
culture. Those he most often analyzes are myth and religion, art, language,
history, and science. These forms of symbolism constitute a total system of
human knowledge and culture that is the subject matter of philosophy.
Cassirer’s influence is most evident in the aesthetics of Susanne Langer 55,
but his conception of the symbol has entered into theoretical anthropology,
psychology, structural linguistics, literary criticism, myth theory,
aesthetics, and phenomenology. His studies of the Renaissance and the
Enlightenment still stand as groundbreaking works in intellectual history.
Griceian casuistry, the
case-analysis approach to the interpretation of general moral rules. Casuistry
starts with paradigm cases of how and when a given general moral rule should be
applied, and then reasons by analogy to cases in which the proper application
of the rule is less obvious e.g., a case
in which lying is the only way for a priest not to betray a secret revealed in
confession. The point of considering the series of cases is to ascertain the
morally relevant similarities and differences between cases. Casuistry’s heyday
was the first half of the seventeenth century. Reacting against casuistry’s
popularity with the Jesuits and against its tendency to qualify general moral
rules, Pascal penned a polemic against casuistry from which the term never
recovered see his Provincial Letters, 1656. But the kind of reasoning to which
the term refers is flourishing in contemporary practical ethics.
categorical theory: H. P.
Grice lectured at Oxford on Aristotle’s Categories in joint seminars with J. L.
Austin and P. F. Strawson, a theory all
of whose models are isomorphic. Because of its weak expressive power, in
first-order logic with identity only theories with a finite model can be
categorical; without identity no theories are categorical. A more interesting
property, therefore, is being categorical in power: a theory is categorical in
power a when the theory has, up to isomorphism, only one model with a domain of
cardinality a. Categoricity in power shows the capacity to characterize a
structure completely, only limited by cardinality. For example, the first-order
theory of dense order without endpoints is categorical in power w the
cardinality of the natural numbers. The first-order theory of simple discrete
orderings with initial element, the ordering of the natural numbers, is not
categorical in power w. There are countable discrete orders, not isomorphic to
the natural numbers, that are elementary equivalent to it, i.e., have the same
elementary, first-order theory. In first-order logic categorical theories are
complete. This is not necessarily true for extensions of first-order logic for
which no completeness theorem holds. In such a logic a set of axioms may be
categorical without providing an informative characterization of the theory of
its unique model. The term ‘elementary equivalence’ was introduced around 6 by
Tarski for the property of being indistinguishable by elementary means.
According to Oswald Veblen, who first used the term ‘categorical’ in 4, in a
discussion of the foundations of geometry, that term was suggested to him by
the pragmatist John Dewey.
Categoricity: Grice
distinguishes a meta-category, as categoricity, from category itself. He gave
seminars on Aristotle’s categories at Oxford in joint seminars with J. L.
Austin and P. F. Strawson. the semantic property belonging to a set of
sentences, a “postulate set,” that implicitly defines completely describes, or
characterizes up to isomorphism the structure of its intended interpretation or
standard model. The best-known categorical set of sentences is the postulate
set for number theory attributed to Peano, which completely characterizes the
structure of an arithmetic progression. This structure is exemplified by the
system of natural numbers with zero as distinguished element and successor
addition of one as distinguished function. Other exemplifications of this
structure are obtained by taking as distinguished element an arbitrary integer,
taking as distinguished function the process of adding an arbitrary positive or
negative integer and taking as universe of discourse or domain the result of
repeated application of the distinguished function to the distinguished
element. See, e.g., Russell’s Introduction to the Mathematical Philosophy, 8.
More precisely, a postulate set is defined to be categorical if every two of
its models satisfying interpretations or realizations are isomorphic to each
other, where, of course, two interpretations are isomorphic if between their
respective universes of discourse there exists a one-to-one correspondence by
which the distinguished elements, functions, relations, etc., of the one are
mapped exactly onto those of the other. The importance of the analytic geometry
of Descartes involves the fact that the system of points of a geometrical line
with the “left-of relation” distinguished is isomorphic to the system of real
numbers with the “less-than” relation distinguished. Categoricity, the ideal
limit of success for the axiomatic method considered as a method for
characterizing subject matter rather than for reorganizing a science, is known
to be impossible with respect to certain subject matters using certain formal
languages. The concept of categoricity can be traced back at least as far as
Dedekind; the word is due to Dewey.
Category: H. P. Grice and
J. L. Austin, “Categories.” H. P. Grice and P. F. Strawson, “Categories.” an
ultimate class. Categories are the highest genera of entities in the world.
They may contain species but are not themselves species of any higher genera.
Aristotle, the first philosopher to discuss categories systematically, listed
ten, including substance, quality, quantity, relation, place, and time. If a
set of categories is complete, then each entity in the world will belong to a
category and no entity will belong to more than one category. A prominent
example of a set of categories is Descartes’s dualistic classification of mind
and matter. This example brings out clearly another feature of categories: an
attribute that can belong to entities in one category cannot be an attribute of
entities in any other category. Thus, entities in the category of matter have
extension and color while no entity in the category of mind can have extension
or color.
category mistake. Grice’s
example: You’re the cream in my coffee. Usually a metaphor is a conversational
implicatum due to a category mistake – But since obviously the mistake is
intentional it is not really a mistake! Grice prefers to speak of ‘categorial
falsity.’ What Ryle has in mind is different and he does mean ‘mistake.’ the
placing of an entity in the wrong category. In one of Ryle’s examples, to place
the activity of exhibiting team spirit in the same class with the activities of
pitching, batting, and catching is to make a category mistake; exhibiting team
spirit is not a special function like pitching or batting but instead a way
those special functions are performed. A second use of ‘category mistake’ is to
refer to the attribution to an entity of a property which that entity cannot
have not merely does not happen to have, as in ‘This memory is violet’ or, to
use an example from Carnap, ‘Caesar is a prime number’. These two kinds of
category mistake may seem different, but both involve misunderstandings of the
natures of the things being talked about. It is thought that they go beyond
simple error or ordinary mistakes, as when one attributes a property to a thing
which that thing could have but does not have, since category mistakes involve
attributions of properties e.g., being a special function to things e.g., team
spirit that those things cannot have. According to Ryle, the test for category
differences depends on whether replacement of one expression for another in the
same sentence results in a type of unintelligibility that he calls “absurdity.”
category theory, H. P.
Grice lectured on Aristotle’s categories in joint seminars at Oxford with J. L.
Austin and P. F. Strawson, a mathematical theory that studies the universal
properties of structures via their relationships with one another. A category C
consists of two collections Obc and Morc , the objects and the morphisms of C,
satisfying the following conditions: i for each pair a, b of objects there is
associated a collection Morc a, b of morphisms such that each member of Morc
belongs to one of these collections; ii for each object a of Obc , there is a
morphism ida , called the identity on a; iii a composition law associating with
each morphism f: a P b and each morphism g: b P c a morphism gf:a P c, called
the composite of f and g; iv for morphisms f: a P b, g: b P c, and h: c P d,
the equation hgf % hgf holds; v for any morphism f: a P b, we have idbf % f and
fida % f. Sets with specific structures together with a collection of mappings
preserving these structures are categories. Examples: 1 sets with functions
between them; 2 groups with group homomorphisms; 3 topological spaces with
continuous functions; 4 sets with surjections instead of arbitrary maps
constitute a different category. But a category need not be composed of sets
and set-theoretical maps. Examples: 5 a collection of propositions linked by
the relation of logical entailment is a category and so is any preordered set;
6 a monoid taken as the unique object and its elements as the morphisms is a
category. The properties of an object of a category are determined by the
morphisms that are coming out of and going in this object. Objects with a
universal property occupy a key position. Thus, a terminal object a is
characterized by the following universal property: for any object b there is a
unique morphism from b to a. A singleton set is a terminal object in the
category of sets. The Cartesian product of sets, the product of groups, and the
conjunction of propositions are all terminal objects in appropriate categories.
Thus category theory unifies concepts and sheds a new light on the notion of
universality.
category of
conversational mode: This is
Aristotle’s hexis. This category posed a special conceptual problem to Grice.
Recall that his categories are invoked only by their power to generate
conversational implciata. But a conversational implicatum is non-detachable.
That is, being based on universalistic principles of general rationality, it
cannot attach to an EXPRESSION, less so to the ‘meaning’ of an EXPRESSION: “if”
and “provided” are REALISATIONS of the concept of the conditionality. Now, the
conversational supra-maxim, ‘be perspicuous’ [sic], is supposed to apply NOT to
the content, or matter, but to the FORM. (Strictly, quantitas and qualitas
applies to matter, RELATIO applies to the link between at least two matters).
Grice tweaks things in such a way that he is happy, and so am I. This is a pun
on Aristkant’s Kategorie (Ammonius, tropos, Boëthius,
modus, Kant Modalitat). Gesichtspuncte der Modalität in assertorische,
apodiktische und problematische hat sich aus der Aristotelischen Eintheilung
hervorgebildet (Anal. Dr. 1, 2): 7@ợc gócois atv n 100 incozy h kỹ kvayxns
Úndozav û toù {VJÉZEo fai Úndozev: Doch geht diese Aristotelische Stelle
vielmehr auf die analogen objectiven Verhältnisse, als auf den subjectiven
Gewissheitsgrad. Der Zusatz Svvatóv, įvsezóuevov, és åviyans, jedoch auch eine
adverbiale Bestimmung wie taméws in dem Satze ý σελήνη ταχέως αποκαθίσταται,
heisst bei Ammonius τρόπος (zu περί ερμ. Cap. 12) und bei Boëthius modus. Kant
(Kritik der r. Vern. § 9-11; Prolegom. $ 21, Log. § 30) gründet die Eintheilung
nach der Modalität auf die modalen Kategorien: Möglichkeit und Unmöglichkeit,
Dasein und Nichtsein, Nothwendigkeit und Zufälligkeit, wobei jedoch die
Zusammenstellung der Unmöglichkeit, die eine negative Nothwendigkeit ist, mit
der Möglichkeit, und ebenso der Zufälligkeit, die das nicht als nothwendig
erkannte Dasein bezeichnet, mit der Nothwendigkeit eine Ungenauigkeit enthält:
die Erkenntniss der Unmöglichkeit ist nicht ein problematisches, sondern ein
(negativ-) apodiktisches Urtheil (was Kant in der Anwendung selbst anerkennt,
indem er z. B. Krit. der r. V. S. 191 die Formel: es ist unmöglich etc. als Ausdruck
einer apodiktischen Gewissheit betrachtet), und die Erkenntniss des Zufälligen
ist nicht ein apodiktisches, sondern ein assertorisches Urtheil. Ausserdem aber
hat Kant das subjective und objective Element in den Kategorien der Qualität
und Modalität nicht bestimmt genug unterschieden.
category of
conversational quality: This is
Aristotle’s universal, poiotes. This was originally the desideratum of
conversational candour. At that point, there was no Kantian scheme of
categories in the horizon. Candour Grice arbitrarily contrasts with clarity –
and so the desideratum of conversational candour sometimes clashes with the
desideratum of conversational clarity. One may not be able to provide a less
convoluted utterance (“It is raining”) but use the less clear, but more candid,
“It might be raining, for all I know.” A pun on Aristkan’s Kategorie, poiotes,
qualitas, Qualitat. Expressions which
are in no way composite signify substance, quantity, quality, relation, place,
time, position, state, action, or affection. To sketch my meaning roughly,
examples of substance are 'man' or 'the horse', of quantity, such terms as 'two
cubits long' or 'three cubits long', of quality, such attributes as 'white',
'grammatical'.
category of
conversational quantity: This is Aristotle’s
universal, posotes. Grice would often use ‘a fortiori,’ and then it dawned on
him. “All I need is a principle of conversational fortitude. This will give the
Oxonians the Graeco-Roman pedigree they deserve.’ a pun on Ariskant’s Kategorie, posotes,
quantitas, Quantitat. Grice expands this as ‘quantity of information,’ or
‘informative content’ – which then as he recognises overlaps with the category
of conversational quality, because ‘false information’ is a misnomer. Expressions
which are in no way composite signify substance, quantity, quality, relation,
place, time, position, state, action, or affection. To sketch my meaning
roughly, examples of substance are 'man' or 'the horse', of quantity, such
terms as 'two cubits long' or 'three cubits long'
category of
conversational relation: This is
Aristotle’s ‘pros ti.’ f there are categories of being, and categories of
thought, and categories of expression, surely there is room for the
‘conversational category.’ A pun on Ariskant’s Kategorie (pros ti, ad aliquid,
Relation). Surely a move has to relate to the previous move, and should include
a tag as to what move will relate. Expressions which are in no way composite
signify substance, quantity, quality, relation, place, time, position, state,
action, or affection. To sketch my meaning roughly, examples of substance are
'man' or 'the horse', of quantity, such terms as 'two cubits long' or 'three
cubits long', of quality, such attributes as 'white', 'grammatical'. 'Double',
'half', 'greater', fall under the category of relation.
causatum: Is the causatum involved in the communicatum. Grice
relies on this only in Meaning Revisited, where he presents a transcendental
argument for the justification. This is what is referred in the literature as
“H. P. Grice’s Triangle.” Borrowing from Aristotle in De Interpretatione, Grice
speaks of three corners of the triangle and correspondences obtaining between
them. There’s a psychophysical correspondence between the soul of the emissor,
the soul of the emissee, and the shared experience of the denotata of the
communication device the emissor employs. Then there’s the psychosemiotic
correspondence between the communication device and the state of the soul in
the emissor that is transferred, in a soul-to-soul transfer to the emissee. And
finally, there is a semiophyiscal correspondence between the communication
device and the world. When it comes to the causation, the belief that there is
fire is caused by there being fire. The emissor wants to transfer his belief,
and utters. “Smoke!”. The soul-to-soul transfer is effected. The fire that
caused the smoke that caused the belief in the the emissor now causes a belief
in the emissee. If that’s not a causal account of communication, I don’t know
what it is. Grice is no expressionist in that a solipsistic telementational
model is of no use if there is no ‘hookup’ as he puts it with the world that
causes this ‘shared experience’ that is improved by the existence of a
communication device. Grice’s idea of
‘cause’ is his ‘bite’ on reality. He chooses ‘Phenomenalism’ as an enemy.
Causal realism is at the heart of Grice’s programme. As an Oxonian, he was well
aware that to trust a cause is to be anti-Cambridge, where they follow Hume’s
and Kant’s scepticism. Grice uses ‘cause’ rather casually. His most serious
joke is “Charles I’s decapitation willed his death” – but it is not easy to
trace a philosopher who explicitly claim that ‘to cause’ is ‘to will.’ For in God the means and the end preexist in
the cause as willed together.
Causation figures large in Grice, notably re: the perceptum. The agent
perceives that the pillar box is red. The cause is that the pillar box is red.
Out of that, Grice constructs a whole theory of conversation. Why would someone
just report what a THING SEEMS to him when he has no doubt that it was THE
THING that caused the thing to SEEM red to him? Applying some sort of
helpfulness, it works: the addressee is obviously more interested in what the
thing IS, not what it seems. A sense-datum is not something you can eat. An
apple is. So, the assumption is that a report of what a thing IS is more
relevant than a report about what a thing SEEMS. So, Grice needs to find a rationale that
justifies, ceteris paribus, the utterance of “The thing seems phi.” Following
helpfulness, U utters “The thing seems phi” when the U is not in a position to
say what the thing IS phi. The denial, “The thing is not phi” is in the air,
and also the doubt, “The thing may not be phi.” Most without a philosophical
background who do not take Grice’s joke of echoing Kant’s categories (Kant had
12, not 4!) play with quantitas, qualitas, relatio and modus. Grice in “Causal”
uses ‘weak’ and ‘strong’ but grants he won’t ‘determine’ in what way ‘the thing
seems phi’ is ‘weaker’ than ‘the thing is phi.’ It might well be argued that
it’s STRONGER: the thing SEEEMS TO BE phi.’ In the previous “Introduction to
Logical Theory,” Strawson just refers to Grice’s idea of a ‘pragmatic rule’ to
the effect that one utter the LOGICALLY stronger proposition. Let’s revise
dates. Whereas Grice says that his confidence in the success of “Causal,” he
ventured with Strawson’s “Intro,” Strawson is citing Grice already. Admittedly,
Strawson adds, “in a different context.” But Grice seems pretty sure that “The
thing seems phi” is WEAKER than “The thing is phi.” In 1961 he is VERY CLEAR
that while what he may have said to Strawson that Strawson reported in that
footnote was in terms of LOGICAL STRENGTH (in terms of entailment, for
extensional contexts). In “Causal,” Grice is clear that he does not think
LOGICAL STRENGTH applies to intensional contexts. In later revisions, it is not
altogether clear how he deals with the ‘doubt or denial.’ He seems to have been
more interested in refuting G. A. Paul (qua follower of Witters) than anything
else. In his latest reformulation of the principle, now a conversational
category, he is not specific about phenomenalist reports.
Causatum. causal law, a
statement describing a regular and invariant connection between types of events
or states, where the connections involved are causal in some sense. When one
speaks of causal laws as distinguished from laws that are not 123 category
mistake causal law 123 causal, the
intended distinction may vary. Sometimes, a law is said to be causal if it
relates events or states occurring at successive times, also called a law of
succession: e.g., ‘Ingestion of strychnine leads to death.’ A causal law in
this sense contrasts with a law of coexistence, which connects events or states
occurring at the same time e.g., the Wiedemann-Franz law relating thermal and
electric conductivity in metals. One important kind of causal law is the
deterministic law. Causal laws of this kind state exceptionless connections
between events, while probabilistic or statistical laws specify probability
relationships between events. For any system governed by a set of deterministic
laws, given the state of a system at a time, as characterized by a set of state
variables, these laws will yield a unique state of the system for any later
time or, perhaps, at any time, earlier or later. Probabilistic laws will yield,
for a given antecedent state of a system, only a probability value for the
occurrence of a certain state at a later time. The laws of classical mechanics
are often thought to be paradigmatic examples of causal laws in this sense,
whereas the laws of quantum mechanics are claimed to be essentially
probabilistic. Causal laws are sometimes taken to be laws that explicitly
specify certain events as causes of certain other events. Simple laws of this
kind will have the form ‘Events of kind F cause events of kind G’; e.g.,
‘Heating causes metals to expand’. A weaker related concept is this: a causal
law is one that states a regularity between events which in fact are related as
cause to effect, although the statement of the law itself does not say so laws
of motion expressed by differential equations are perhaps causal laws in this
sense. These senses of ‘causal law’ presuppose a prior concept of causation.
Finally, causal laws may be contrasted with teleological laws, laws that
supposedly describe how certain systems, in particular biological organisms,
behave so as to achieve certain “goals” or “end states.” Such laws are
sometimes claimed to embody the idea that a future state that does not as yet
exist can exert an influence on the present behavior of a system. Just what
form such laws take and exactly how they differ from ordinary laws have not
been made wholly clear, however.
causal theory of proper
names, the view that proper names designate what they name by virtue of a kind
of causal connection to it. This view is a special case, and in some instances
an unwarranted interpretation, of a direct reference view of names. On this
approach, proper names, e.g., ‘Machiavelli’, are, as J. S. Mill wrote, “purely
denotative. . . . they denote the individuals who are called by them; but they
do not indicate or imply any attributes as belonging to those individuals” A
System of Logic, 1879. Proper names may suggest certain properties to many
competent speakers, but any such associated information is no part of the
definition of the name. Names, on this view, have no definitions. What connects
a name to what it names is not the latter’s satisfying some condition specified
in the name’s definition. Names, instead, are simply attached to things,
applied as labels, as it were. A proper name, once attached, becomes a socially
available device for making the relevant name bearer a subject of discourse. On
the other leading view, the descriptivist view, a proper name is associated
with something like a definition. ‘Aristotle’, on this view, applies by
definition to whoever satisfies the relevant properties e.g., is ‘the teacher of Alexander the Great,
who wrote the Nicomachean Ethics’. Russell, e.g., maintained that ordinary
proper names which he contrasted with logically proper or genuine names have
definitions, that they are abbreviated definite descriptions. Frege held that
names have sense, a view whose proper interpretation remains in dispute, but is
often supposed to be closely related to Russell’s approach. Others, most
notably Searle, have defended descendants of the descriptivist view. An
important variant, sometimes attributed to Frege, denies that names have
articulable definitions, but nevertheless associates them with senses. And the
bearer will still be, by definition as it were, the unique thing to satisfy the
relevant mode of presentation. causal overdetermination causal theory of proper
names 124 124 The direct reference
approach is sometimes misleadingly called the causal theory of names. But the
key idea need have nothing to do with causation: a proper name functions as a
tag or label for its bearer, not as a surrogate for a descriptive expression.
Whence the allegedly misleading term ‘causal theory of names’? Contemporary
defenders of Mill’s conception like Keith Donnellan and Kripke felt the need to
expand upon Mill’s brief remarks. What connects a present use of a name with a
referent? Here Donnellan and Kripke introduce the notion of a “historical
chains of communication.” As Kripke tells the story, a baby is baptized with a
proper name. The name is used, first by those present at the baptism,
subsequently by those who pick up the name in conversation, reading, and so on.
The name is thus propagated, spread by usage “from link to link as if by a
chain” Naming and Necessity, 0. There emerges a historical chain of uses of the
name that, according to Donnellan and Kripke, bridges the gap between a present
use of the name and the individual so named. This “historical chain of
communication” is occasionally referred to as a “casual chain of
communication.” The idea is that one’s use of the name can be thought of as a
causal factor in one’s listener’s ability to use the name to refer to the same
individual. However, although Kripke in Naming and Necessity does occasionally
refer to the chain of communication as causal, he more often simply speaks of
the chain of communication, or of the fact that the name has been passed “by
tradition from link to link” p. 106. The causal aspect is not one that Kripke
underscores. In more recent writings on the topic, as well as in lectures,
Kripke never mentions causation in this connection, and Donnellan questions
whether the chain of communication should be thought of as a causal chain. This
is not to suggest that there is no view properly called a “causal theory of
names.” There is such a view, but it is not the view of Kripke and Donnellan.
The causal theory of names is a view propounded by physicalistically minded
philosophers who desire to “reduce” the notion of “reference” to something more
physicalistically acceptable, such as the notion of a causal chain running from
“baptism” to later use. This is a view whose motivation is explicitly rejected
by Kripke, and should be sharply distinguished from the more popular
anti-Fregean approach sketched above.
CAUSATUM: causation, the
relation between cause and effect, or the act of bringing about an effect,
which may be an event, a state, or an object say, a statue. The concept of
causation has long been recognized as one of fundamental philosophical
importance. Hume called it “the cement of the universe”: causation is the
relation that connects events and objects of this world in significant
relationships. The concept of causation seems pervasively present in human
discourse. It is expressed by not only ‘cause’ and its cognates but by many
other terms, such as ‘produce’, ‘bring about’, ‘issue’, ‘generate’, ‘result’,
‘effect’, ‘determine’, and countless others. Moreover, many common transitive
verbs “causatives”, such as ‘kill’, ‘break’, and ‘move’, tacitly contain causal
relations e.g., killing involves causing to die. The concept of action, or
doing, involves the idea that the agent intentionally causes a change in some
object or other; similarly, the concept of perception involves the idea that
the object perceived causes in the perceiver an appropriate perceptual
experience. The physical concept of force, too, appears to involve causation as
an essential ingredient: force is the causal agent of changes in motion.
Further, causation is intimately related to explanation: to ask for an
explanation of an event is, often, to ask for its cause. It is sometimes
thought that our ability to make predictions, and inductive inference in
general, depends on our knowledge of causal connections or the assumption that
such connections are present: the knowledge that water quenches thirst warrants
the predictive inference from ‘X is swallowing water’ to ‘X’s thirst will be
quenched’. More generally, the identification and systematic description of
causal relations that hold in the natural world have been claimed to be the
preeminent aim of science. Finally, causal concepts play a crucial role in
moral and legal reasoning, e.g., in the assessment of responsibilities and
liabilities. Event causation is the causation of one event by another. A
sequence of causally connected events is called a causal chain. Agent causation
refers to the act of an agent person, object in bringing about a change; thus,
my opening the window i.e., my causing the window to open is an instance of
agent causation. There is a controversy as to whether agent causation is
reducible to event causation. My opening the window seems reducible to event
causation since in reality a certain motion of my arms, an event, causes the
window to open. Some philosophers, however, have claimed that not all cases of
agent causation are so reducible. Substantival causation is the creation of a
genuinely new substance, or object, rather than causing changes in preexisting
substances, or merely rearranging them. The possibility of substantival
causation, at least in the natural world, has been disputed by some
philosophers. Event causation, however, has been the primary focus of
philosophical discussion in the modern and contemporary period. The analysis of
event causation has been controversial. The following four approaches have been
prominent: the regularity analysis, the counterfactual analysis, the
manipulation analysis, and the probabilistic analysis. The heart of the
regularity or nomological analysis, associated with Hume and J. S. Mill, is the
idea that causally connected events must instantiate a general regularity
between like kinds of events. More precisely: if c is a cause of e, there must
be types or kinds of events, F and G, such that c is of kind F, e is of kind G,
and events of kind F are regularly followed by events of kind G. Some take the
regularity involved to be merely de facto “constant conjunction” of the two
event types involved; a more popular view is that the regularity must hold as a
matter of “nomological necessity” i.e.,
it must be a “law.” An even stronger view is that the regularity must represent
a causal law. A law that does this job of subsuming causally connected events
is called a “covering” or “subsumptive” law, and versions of the regularity
analysis that call for such laws are often referred to as the “covering-law” or
“nomic-subsumptive” model of causality. The regularity analysis appears to give
a satisfactory account of some aspects of our causal concepts: for example,
causal claims are often tested by re-creating the event or situation claimed to
be a cause and then observing whether a similar effect occurs. In other
respects, however, the regularity account does not seem to fare so well: e.g.,
it has difficulty explaining the apparent fact that we can have knowledge of
causal relations without knowledge of general laws. It seems possible to know,
for instance, that someone’s contraction of the flu was caused by her exposure
to a patient with the disease, although we know of no regularity between such
exposures and contraction of the disease it may well be that only a very small
fraction of persons who have been exposed to flu patients contract the disease.
Do I need to know general regularities about itchings and scratchings to know
that the itchy sensation on my left elbow caused me to scratch it? Further, not
all regularities seem to represent causal connections e.g., Reid’s example of
the succession of day and night; two successive symptoms of a disease.
Distinguishing causal from non-causal regularities is one of the main problems
confronting the regularity theorist. According to the counterfactual analysis,
what makes an event a cause of another is the fact that if the cause event had
not occurred the effect event would not have. This accords with the idea that
cause is a condition that is sine qua non for the occurrence of the effect. The
view that a cause is a necessary condition for the effect is based on a similar
idea. The precise form of the counterfactual account depends on how
counterfactuals are understood e.g., if counterfactuals are explained in terms
of laws, the counterfactual analysis may turn into a form of the regularity
analysis. The counterfactual approach, too, seems to encounter various
difficulties. It is true that on the basis of the fact that if Larry had
watered my plants, as he had promised, my plants would not have died, I could
claim that Larry’s not watering my plants caused them to die. But it is also
true that if George Bush had watered my plants, they would not have died; but
does that license the claim that Bush’s not watering my plants caused them to
die? Also, there appear to be many cases of dependencies expressed by
counterfactuals that, however, are not cases of causal dependence: e.g., if
Socrates had not died, Xanthippe would not have become a widow; if I had not
raised my hand, I would not have signaled. The question, then, is whether these
non-causal counterfactuals can be distinguished from causal counterfactuals
without the use of causal concepts. There are also questions about how we could
verify counterfactuals in particular,
whether our knowledge of causal counterfactuals is ultimately dependent on
knowledge of causal laws and regularities. Some have attempted to explain
causation in terms of action, and this is the manipulation analysis: the cause
is an event or state that we can produce at will, or otherwise manipulate, to
produce a certain other event as an effect. Thus, an event is a cause of
another provided that by bringing about the first event we can bring about the
second. This account exploits the close connection noted earlier between the
concepts of action and cause, and highlights the important role that knowledge
of causal connections plays in our control of natural events. However, as an
analysis of the concept of cause, it may well have things backward: the concept
of action seems to be a richer and more complex concept that presupposes the
concept of cause, and an analysis of cause in terms of action could be accused
of circularity. The reason we think that someone’s exposure to a flu patient
was the cause of her catching the disease, notwithstanding the absence of an
appropriate regularity even one of high probability, may be this: exposure to
flu patients increases the probability of contracting the disease. Thus, an
event, X, may be said to be a probabilistic cause of an event, Y, provided that
the probability of the occurrence of Y, given that X has occurred, is greater
than the antecedent probability of Y. To meet certain obvious difficulties,
this rough definition must be further elaborated e.g., to eliminate the
possibility that X and Y are collateral effects of a common cause. There is
also the question whether probabilistic causation is to be taken as an analysis
of the general concept of causation, or as a special kind of causal relation,
or perhaps only as evidence indicating the presence of a causal relationship.
Probabilistic causation has of late been receiving increasing attention from
philosophers. When an effect is brought about by two independent causes either
of which alone would have sufficed, one speaks of causal overdetermination.
Thus, a house fire might have been caused by both a short circuit and a
simultaneous lightning strike; either event alone would have caused the fire,
and the fire, therefore, was causally overdetermined. Whether there are actual
instances of overdetermination has been questioned; one could argue that the
fire that would have been caused by the short circuit alone would not have been
the same fire, and similarly for the fire that would have been caused by the
lightning alone. The steady buildup of pressure in a boiler would have caused it
to explode but for the fact that a bomb was detonated seconds before, leading
to a similar effect. In such a case, one speaks of preemptive, or superseding,
cause. We are apt to speak of causes in regard to changes; however,
“unchanges,” e.g., this table’s standing here through some period of time, can
also have causes: the table continues to stand here because it is supported by
a rigid floor. The presence of the floor, therefore, can be called a sustaining
cause of the table’s continuing to stand. A cause is usually thought to precede
its effect in time; however, some have argued that we must allow for the
possibility of a cause that is temporally posterior to its effect backward causation sometimes called retrocausation.
And there is no universal agreement as to whether a cause can be simultaneous
with its effect concurrent causation.
Nor is there a general agreement as to whether cause and effect must, as a
matter of conceptual necessity, be “contiguous” in time and space, either
directly or through a causal chain of contiguous events contiguous causation. The attempt to
“analyze” causation seems to have reached an impasse; the proposals on hand
seem so widely divergent that one wonders whether they are all analyses of one
and the same concept. But each of them seems to address some important aspect
of the variegated notion that we express by the term ‘cause’, and it may be
doubted whether there is a unitary concept of causation that can be captured in
an enlightening philosophical analysis. On the other hand, the centrality of
the concept, both to ordinary practical discourse and to the scientific
description of the world, is difficult to deny. This has encouraged some
philosophers to view causation as a primitive, one that cannot be further
analyzed. There are others who advocate the extreme view causal nihilism that
causal concepts play no role whatever in the advanced sciences, such as
fundamental physical theories of space-time and matter, and that the very
notion of cause is an anthropocentric projection deriving from our confused
ideas of action and power. Causatum -- Dretske, Fred b.2, philosopher best known for his externalistic
representational naturalism about experience, belief, perception, and
knowledge. Educated at Purdue and
the of Minnesota, he has taught at
the of Wisconsin 088 and Stanford 898. In Seeing and Knowing 9 Dretske develops
an account of non-epistemic seeing, denying that seeing is believing that for a subject S to see a dog, say, S
must apply a concept to it dog, animal, furry. The dog must look some way to S
S must visually differentiate the dog, but need not conceptually categorize it.
This contrasts with epistemic seeing, where for S to see that a dog is before
him, S would have to believe that it is a dog. In Knowledge and the Flow of
Information 1, a mind-independent objective sense of ‘information’ is applied
to propositional knowledge and belief content. “Information” replaced Dretske’s
earlier notion of a “conclusive reason” 1. Knowing that p requires having a
true belief caused or causally sustained by an event that carries the
information that p. Also, the semantic content of a belief is identified with
the most specific digitally encoded piece of information to which it becomes
selectively sensitive during a period of learning. In Explaining Behavior 8,
Dretske’s account of representation and misrepresentation takes on a
teleological flavor. The semantic meaning of a structure is now identified with
its indicator function. A structure recruited for a causal role of indicating
F’s, and sustained in that causal role by this ability, comes to mean F thereby providing a causal role for the
content of cognitive states, and avoiding epiphenomenalism about semantic
content. In Naturalizing the Mind 5, Dretske’s theory of meaning is applied to
the problems of consciousness and qualia. He argues that the empirically
significant features of conscious experience are exhausted by their functional
and hence representational roles of indicating external sensible properties. He
rejects the views that consciousness is composed of a higher-order hierarchy of
mental states and that qualia are due to intrinsic, non-representational
features of the underlying physical systems. Dretske is also known for his
contributions on the nature of contrastive statements, laws of nature,
causation, and epistemic non-closure, among other topics. CAUSATUM -- Ducasse, C. J., philosopher of
mind and aesthetician. He arrived in the United States in 0, received his Ph.D.
from Harvard 2, and taught at the of
Washington 226 and Brown 658. His most
important work is Nature, Mind and Death 1. The key to his general theory is a
non-Humean view of causation: the relation of causing is triadic, involving i
an initial event, ii the set of conditions under which it occurs, and iii a
resulting event; the initial event is the cause, the resulting event is the
effect. On the basis of this view he constructed a theory of categories an explication of such concepts as those of
substance, property, mind, matter, and body. Among the theses he defended were
that minds are substances, that they causally interact with bodies, and that
human beings are free despite every event’s having a cause. In A Critical
Examination of the Belief in a Life after Death 1, he concluded that “the
balance of the evidence so far obtained is on the side of . . . survival.” Like
Schopenhauer, whom he admired, Ducasse was receptive to the religious and
philosophical writings of the Far East. He wrote with remarkable objectivity on
the philosophical problems associated with so-called paranormal phenomena.
Ducasse’s epistemological views are developed in Truth, Knowledge and Causation
8. He sets forth a realistic theory of perception he says, about
sense-qualities, “Berkeley is right and the realists are wrong” and, of
material things, “the realists are right and Berkeley is wrong”. He provides
the classical formulation of the “adverbial theory” or sense-qualities,
according to which such qualities are not objects of experience or awareness
but ways of experiencing or of being aware. One does not perceive a red
material object by sensing a red sense-datum; for then perceiving would involve
three entities i the perceiving subject,
ii the red sense-datum, and iii the red material object. But one may perceive a
red material object by sensing redly; then the only entities involved are i the
perceiving subject and ii the material object. Ducasse observes that,
analogously, although it may be natural to say “dancing a waltz,” it would be
more accurate to speak of “dancing waltzily.”
causa sui Latin, ‘cause
of itself’, an expression applied to God to mean in part that God owes his
existence to nothing other than himself. It does not mean that God somehow
brought himself into existence. The idea is that the very nature of God
logically requires that he exists. What accounts for the existence of a being
that is causa sui is its own nature.
Cavellian implicature
-- c. s., b.6,
philosopher whose work has explored skepticism and its consequences. He
was Walter M. Cabot Professor of Aesthetics and General Value Theory at Harvard
from 3 until 7. Central to Cavell’s thought is the view that skepticism is not
a theoretical position to be refuted by philosophical theory or dismissed as a
mere misuse of ordinary language; it is a reflection of the fundamental limits
of human knowledge of the self, of others, and of the external world, limits
that must be accepted in his term
“acknowledged” because the refusal to do
so results in illusion and risks tragedy. Cavell’s work defends J. L. Austin
from both positivism and deconstructionism Must We Mean What We Say?, 9, and
The Pitch of Philosophy, 4, but not because Cavell is an “ordinary language”
philosopher. Rather, his defense of Austin has combined with his response to
skepticism to make him a philosopher of the ordinary: he explores the
conditions of the possibility and limits of ordinary language, ordinary
knowledge, ordinary action, and ordinary human relationships. He uses both the
resources of ordinary language and the discourse of philosophers, such as
Vitters, Heidegger, Thoreau, and Emerson, and of the arts. Cavell has explored
the ineliminability of skepticism in Must We Mean What We Say?, notably in its
essay on King Lear, and has developed his analysis in his 9 magnum opus, The
Claim of Reason. He has examined the benefits of acknowledging the limits of
human self-understanding, and the costs of refusing to do so, in a broad range
of contexts from film The World Viewed, 1; Pursuits of Happiness, 1; and Contesting
Tears, 6 to philosophy The Senses of
Walden, 2; and the chapters on Emerson in This New Yet Unapproachable America,
9, and Conditions Handsome and Unhandsome, 0. A central argument in The Claim
of Reason develops Cavell’s approach by looking at Vitters’s notion of
criteria. Criteria are not rules for the use of our words that can guarantee
the correctness of the claims we make by them; rather, criteria bring out what
we claim by using the words we do. More generally, in making claims to
knowledge, undertaking actions, and forming interpersonal relationships, we
always risk failure, but it is also precisely in that room for risk that we
find the possibility of freedom. This argument is indebted not only to Vitters
but also to Kant, especially in the Critique of Judgment. Cavell has used his
view as a key to understanding classics of the theater and film. Regarding such
tragic figures as Lear, he argues that their tragedies result from their
refusal to accept the limits of human knowledge and human love, and their
insistence on an illusory absolute and pure love. The World Viewed argues for a
realistic approach to film, meaning that we should acknowledge that our
cognitive and emotional responses to films are responses to the realities of
the human condition portrayed in them. This “ontology of film” prepared the way
for Cavell’s treatment of the genre of comedies of remarriage in Pursuits of
Happiness. It also grounds his treatment of melodrama in Contesting Tears,
which argues that human beings must remain tragically unknown to each other if
the limits to our knowledge of each other are not acknowledged. In The Claim of
Reason and later works Cavell has also contributed to moral philosophy by his
defense against Rawls’s critique of
“moral perfectionism” of “Emersonian
perfectionism”: the view that no general principles of conduct, no matter how
well established, can ever be employed in practice without the ongoing but
never completed perfection of knowledge of oneself and of the others on and
with whom one acts. Cavell’s Emersonian perfectionism is thus another
application of his Vittersian and Kantian recognition that rules must always be
supplemented by the capacity for judgment.
Cavendish, Margaret,
Duchess of Newcastle, English author of some dozen works in a variety of forms.
Her central philosophical interest was the developments in natural science of
her day. Her earliest works endorsed a kind of atomism, but her settled view,
in Philosophical Letters 1664, Observations upon Experimental Philosophy 1666,
and Grounds of Natural Philosophy 1668, was a kind of organic materialism.
Cavendish argues for a hierarchy of increasingly fine matter, capable of
self-motion. Philosophical Letters, among other matters, raises problems for
the notion of inert matter found in Descartes, and Observations upon
Experimental Philosophy criticizes microscopists such as Hooke for committing a
double error, first of preferring the distortions introduced by instruments to
unaided vision and second of preferring sense to reason.
Celsus anti-Christian
writer known only as the author of a work called The True Doctrine Alethes
Logos, which is quoted extensively by Origen of Alexandria in his response,
Against Celsus written in the late 240s. The True Doctrine is mainly important
because it is the first anti-Christian polemic of which we have significant
knowledge. Origen considers Celsus to be an Epicurean, but he is uncertain
about this. There are no traces of Epicureanism in Origen’s quotations from
Celsus, which indicate instead that he is an eclectic Middle Platonist of no
great originality, a polytheist whose conception of the “unnameable” first
deity transcending being and knowable only by “synthesis, analysis, or analogy”
is based on Plato’s description of the Good in Republic VI. In accordance with
the Timaeus, Celsus believes that God created “immortal things” and turned the
creation of “mortal things” over to them. According to him, the universe has a
providential organization in which humans hold no special place, and its
history is one of eternally repeating sequences of events separated by
catastrophes.
certum: To be certain is to have dis-cerned. Oddly, Grice
‘evolved’ from an interest in the certainty and incorrigibility that ‘ordinary’
and the first-person gives to situations of ‘conversational improbability’ and
indeterminate implicata under conditions of ceteris paribus risk and
uncertainty in survival. “To be certain that p” is for Grice one of those
‘diaphanous’ verbs. While it is best to improve Descartes’s fuzzy lexicon – and
apply ‘certus’ to the emissor, if Grice is asked, “What are you certain of?,”
“I have to answer, ‘p’”. certum:
certitude, from ecclesiastical medieval Roman “certitudo,” designating in
particular Christian conviction, is heir to two meanings of “certum,” one
objective and the other subjective: beyond doubt, fixed, positive, real,
regarding a thing or knowledge, or firm in his resolutions, decided, sure,
authentic, regarding an individual. Although certitudo has no Grecian
equivalent, the Roman verb “cernere,” (cf. discern), from which “certum” is
derived, has the concrete meaning of pass through a sieve, discern, like the
Grecian “ϰρίνειν,” select, sieve, judge, which comes from the same root. Thus
begins the relationship between certitude, judgment, and truth, which since
Descartes has been connected with the problematics of the subject and of
self-certainty. The whole terminological system of truth is thus involved, from
unveiling and adequation to certitude and obviousness. Then there’s Certainty,
Objectivity, Subjectivity, and Linguistic Systems The objective aspect manifests itself first,
“certitudo” translating e. g. the
determined nature of objects or known properties as the commentaries on
Aristotle’s Met. translated into Roman, or the incontestably true nature of
principles. With the revolution of the subject inaugurated by Cartesian Phil. ,
the second aspect comes to the fore: some reasons, ideas, or propositions are
true and certain, or true and evident, but the most certain and the most
evident of all, and thus in a sense the truest, is the certitude of my own
existence, a certainty that the subject attributes to itself: The thematics of
certainty precedes that of consciousness both historically and logically, but
it ends up being incorporated and subordinated by it. Certainty thus becomes a
quality or disposition of the subject that reproduces, in the field of rational
knowledge, the security or assurance that the believer finds in religious
faith, and that shields him from the wavering of the soul. It will be noted
that Fr. retains the possibility of
reversing the perspective by exploiting the Roman etymology, as Descartes does
in the Principles of Phil. when he
transforms the certitudo probabilis of the Scholastics Aquinas into moral
certainty. On the other hand, Eng. tends to objectify “certainty” to the
maximum in opposition to belief v. BELIEF, whereas G. hears in “Gewissheit” the root “wissen,” to
know, to have learned and situates it in a series with Bewusstsein and Gewissen,
clearly marking the constitutive relationship to the subject in opposition to
Glaube on the one hand, and to Wahrheit and Wahrscheinlichkeit lit., appearance
of truth, i.e., probability on the other. Then there’s Knots of Problems On the relations between certainty and
belief, the modalities of subjective experience. On the relation between
individual certainty and the wise man’s constancy. On the relations between
certainty and truth, the confrontation between subjectivity and objectivity in
the development of knowledge. On the relations between certainty and
probability, the modalities of objective knowledge insofar as it is related to
a subject’s experience. uncertainty.
This is Grice’s principle of uncertainty. One of Grice’s problem is with ‘know’
and ‘certainty.’ He grants that we only know that 2 + 2 = 4. He often
identifies ‘knowledge’ with ‘certainty.’ He does not explore a cancellation
like, “I am certain but I do not know.” The reason being that he defends common
sense against the sceptic, and so his attitude towards certainty has to be very
careful. The second problem is that he wants ‘certainty’ to deal within the
desiderative realm. To do that, he divides an act of intending into two: an act
of accepting and act of willing. The ‘certainty’ is found otiose if the
intender is seen as ‘willing that p’ and accepting that the willing will be the
cause for the desideratum to obtain. n
WoW:141, Grice proposes that ‘A is certain that p’ ENTAILS either ‘A is certain
that he is certain that p, OR AT LEAST that it is not the case that A is
UNCERTAIN that A is certain that p.” ‘Certainly,’ appears to apply to
utterances in the credibility and the desirability realm. Grice sometimes uses
‘to be sure.’ He notoriously wants to distinguish it from ‘know.’ Grice
explores the topic of incorrigibility and ends up with corrigibility which
almost makes a Popperian out of him. In the end, its all about the
converational implciata and conversation as rational co-operation. Why does P2
should judge that P1 is being more or less certain about what he is talking?
Theres a rationale for that. Our conversation does not consist of idle remarks.
Grices example: "The Chairman of the British Academy has a corkscrew in
his pocket. Urmsons example: "The king is visiting Oxford tomorrow. Why?
Oh, for no reason at all. As a philosophical psychologist, and an empiricist
with realist tendencies, Grice was obsessed with what he called (in a nod to
the Kiparskys) the factivity of know. Surely, Grices preferred collocation,
unlike surely Ryles, is "Grice knows that p." Grice has no problem in
seeing this as involving three clauses: First, p. Second, Grice believes that
p, and third, p causes Grices belief. No mention of certainty. This is the
neo-Prichardian in Grice, from having been a neo-Stoutian (Stout was obsessed,
as a few Oxonians like Hampshire and Hart were, with certainty). If the
three-prong analysis of know applies to the doxastic, Grices two-prong analysis
of intending in ‘Intention and UNcertainty,’ again purposively avoiding
certainty, covers the buletic realm. This does not mean that Grice, however
proud he was of his ignorance of the history of philosophy (He held it as a
badge of honour, his tuteee Strawson recalls), had read some of the
philosophical classics to realise that certainty had been an obsession of what
Ryle abusively (as he himself puts it) called Descartes and the Establishments
"official doctrine"! While ps true in Grices analysis of know is
harmless enough, there obviously is no correlate for ps truth in the buletic
case. Grices example is Grice intending to scratch his head, via his willing
that Grice scratches his head in t2. In this case, as he notes, the doxastic
eleent involves the uniformity of nature, and ones more or less relying that if
Grice had a head to be scratched in t1, he will have a head to be sratched in
t2, when his intention actually GETS satisfied, or fulfilled. Grice was never
worried about buletic satisfaction. As the intentionalist that Suppes showed us
Grice was, Grice is very much happy to say that if Smith intends to give Joness
a job, the facct as to whether Jones actually gets the job is totally
irrelevant for most philosophical purposes. He gets more serious when he is
happier with privileged access than incorrigibility in “Method.” But he is less
strict than Austin. For Austin, "That is a finch implies that the utterer
KNOWS its a finch. While Grice has a maxim, do not say that for which you lack
adequate evidence (Gettiers analysandum) and a super-maxim, try to make
your contribution one that is true, the very phrasing highlights Grices
cavalier to this! Imagine Kant turning on his grave. "Try!?". Grice
is very clever in having try in the super-maxim, and a prohibition as the
maxim, involving falsehood avoidance, "Do not say what you believe to be
false." Even here he is cavalier. "Cf. "Do not say what you KNOW
to be false." If Gettier were wrong, the combo of maxims yields, "Say
what you KNOW," say what you are certain about! Enough for Sextus
Empiricus having one single maxim: "Either utter a phenomenalist
utterance, a question or an order, or keep your mouth shut!." (cf. Grice,
"My lips are sealed," as cooperative or helfpul in ways -- "At
least he is not lying."). Hampshire, in the course of some recent
remarks,l advances the view that self-prediction is (logically) impossible.
When I say I know that I shall do X (as against, e.g., X will happen to me, or
You will do X), I am not contemplating myself, as I might someone else, and
giving tongue to a conjecture about myself and my future acts, as I might be
doing about someone else or about the behaviour ofan animal -for that would be
tantamount (if I understand him rightly) to looking upon myself from outside,
as it were, and treating my own acts as mere caused events. In saying that I
know that I shall do X, I am, on this view, saying that I have decided to do X:
for to predict that I shall in certain circumstances in fact do X or decide to
do X, with no reference to whether or not I have already decided to do it - to
say I can tell you now that I shall in fact act in manner X, although I am, as
a matter of fact, determined to do the very opposite - does not make sense. Any
man who says I know myself too well to believe that, whatever I now decide, I
shall do anything other than X when the circumstances actually arise is in
fact, if I interpret Hampshires views correctly, saying that he does not
really, i.e. seriously, propose to set himself against doing X, that he does
not propose even to try to act otherwise, that he has in fact decided to let
events take their course. For no man who has truly decided to try to avoid X
can, in good faith, predict his own failure to act as he has decided. He may
fail to avoid X, and he may predict this; but he cannot both decide to try to
avoid X and predict that he will not even try to do this; for he can always
try; and he knows this: he knows that this is what distinguishes him from
non-human creatures in nature. To say that he will fail even to try is
tantamount to saying that he has decided not to try. In this sense I know means
I have decided and (Murdoch, Hampshire, Gardiner and Pears, Freedom and
Knowledge, in Pears, Freedom and the Will) cannot in principle be predictive.
That, if I have understood it, is Hampshires position, and I have a good deal
of sympathy with it, for I can see that self-prediction is often an evasive way
of disclaiming responsibility for difficult decisions, while deciding in fact
to let events take their course, disguising this by attributing responsibility
for what occurs to my own allegedly unalterable nature. But I agree with
Hampshires critics in the debate, whom I take to be maintaining that, although
the situation he describes may often occur, yet circumstances may exist in
which it is possible for me both to say that I am, at this moment, resolved not
to do X, and at the same time to predict that I shall do X, because I am not
hopeful that, when the time comes, I shall in fact even so much as try to
resist doing X. I can, in effect, say I know myself well. When the crisis
comes, do not rely on me to help you. I may well run away; although I am at
this moment genuinely resolved not to be cowardly and to do all I can to stay
at your side. My prediction that my resolution will not in fact hold up is
based on knowledge of my own character, and not on my present state of mind; my
prophecy is not a symptom of bad faith (for I am not, at this moment,
vacillating) but, on the contrary, of good faith, of a wish to face the facts.
I assure you in all sincerity that my present intention is to be brave and
resist. Yet you would run a great risk if you relied too much on my present
decision; it would not be fair to conceal my past failures of nerve from you. I
can say this about others, despite the most sincere resolutions on their part,
for I can foretell how in fact they will behave; they can equally predict this
about me. Despite Hampshires plausible and tempting argument, I believe that
such objective self-knowledge is possible and occur. From Descartes to
Stout and back. Stout indeed uses both intention and certainty, and in the
same paragraph. Stout notes that, at the outset, performance falls far short of
intention. Only a certain s. of contractions of certain muscles, in proper
proportions and in a proper order, is capable of realising the end aimed at,
with the maximum of rapidity and certainty, and the minimum of obstruction and
failure, and corresponding effort. At the outset of the process of acquisition,
muscles are contracted which are superfluous, and which therefore operate as
disturbing conditions. Grices immediate trigger, however, is Ayer on sure
that, and having the right to be sure, as his immediate trigger later will be
Hampshire and Hart. Grice had high regard for Hampshires brilliant Thought and
action. He was also concerned with Stouts rather hasty UNphilosophical,
but more scientifically psychologically-oriented remarks about assurance in
practical concerns. He knew too that he was exploring an item of the
philosophers lexicon (certus) that had been brought to the forum when Anscombe
and von Wright translate Witters German expression Gewißheit in Über
Gewißheit as Certainty. The Grecians were never sure about being sure. But
the modernist turn brought by Descartes meant that Grice now had to deal with
incorrigibility and privileged access to this or that P, notably himself (When
I intend to go, I dont have to observe myself, Im on the stage, not in the
audience, or Only I can say I will to London, expressing my intention to do so.
If you say, you will go you are expressing yours! Grice found Descartes
very funny ‒ in a French way. Grice is interested in contesting Ayer and other
Oxford philosophers, on the topic of a criterion for certainty. In so
doing, Grice choses Descartess time-honoured criterion of clarity and
distinction, as applied to perception. Grice does NOT quote
Descartes in French! In the proceedings, Grice distinguishes between two
kinds of certainty apparently ignored by Descartes: (a) objective
certainty: Ordinary-language variant: It is certain that p, whatever
it refers to, cf. Grice, it is an illusion; what is it? (b) Subjective
certainty: Ordinary-language variant: I am certain that p. I
being, of course, Grice, in my bestest days, of course! There are further
items on Descartes in the Grice Collection, notably in the last s. of topics
arranged alphabetically. Grice never cared to publish his views on
Descartes until he found an opportunity to do so when compiling his WOW. Grice
is not interested in an exegesis of Descartess thought. He doesnt care to give
a reference to any edition of Descartess oeuvre. But he plays with certain. It
is certain that p is objective certainty, apparently. I am certain that p is
Subjectsive certainty, rather. Oddly, Grice will turn to UNcertainty as it connects
with intention in his BA lecture. Grices interest in Descartes connects
with Descartess search for a criterion of certainty in terms of clarity and
distinction of this or that perception. Having explored the philosophy of
perception with Warnock, its only natural he wanted to give Descartess rambles
a second and third look! Descartes on clear and distinct perception, in WOW, II
semantics and metaphysics, essay, Descartes on clear and distinct perception
and Malcom on dreaming, perception, Descartes, clear and distinct perception,
Malcolm, dreaming. Descartes meets Malcolm, and vice versa.
Descartes on clear and distinct perception, in WOW, Descartes on clear and
distinct perception, Descartes on clear and distinct perception, in WOW, part
II, semantics and metaphysics, essay. Grice gives a short overview of Cartesian
metaphysics for the BBC 3rd programme. The best example, Grice
thinks, of a metaphysical snob is provided by Descartes, about whose
idea of certainty Grice had philosophised quite a bit, since it is in total
contrast with Moore’s. Descartes is a very scientifically
minded philosopher, with very clear ideas about the proper direction for science. Descartes,
whose middle Names seems to have been Euclid, thinks that mathematics, and in
particular geometry, provides the model for a scientific procedure, or
method. And this determines all of Descartess thinking in two ways. First,
Descartes thinks that the fundamental method in science is the axiomatic
deductive method of geometry, and this Descartes conceives (as Spinoza morality
more geometrico) of as rigorous reasoning from a self-evident axiom (Cogito,
ergo sum.). Second, Descartes thinks that the Subjects matter of physical
science, from mechanics to medicine, must be fundamentally the same as the
Subjects matter of geometry! The only characteristics that the objects studied
by geometry poses are spatial characteristics. So from the point of view of
science in general, the only important features of things in the physical world
were also their spatial characteristics, what he called extensio, res extensa.
Physical science in general is a kind of dynamic, or kinetic, geometry.
Here we have an exclusive preference for a certain type of scientific
method, and a certain type of scientific explanation: the method is deductive,
the type of explanation mechanical. These beliefs about the right way to do
science are exactly reflected in Descartess ontology, one of the two branches
of metaphysics; the other is philosophical eschatology, or the study of
categories), and it is reflected in his doctrine, that is, about what really
exists. Apart from God, the divine substance, Descartes recognises just
two kinds of substance, two types of real entity. First, there is material
substance, or matter; and the belief that the only scientifically important
characteristics of things in the physical world are their spatial
characteristics goes over, in the language of metaphysics, into the doctrine
that these are their only characteristics. Second, and to Ryle’s horror,
Descartes recognizes the mind or soul, or the mental substance, of which the
essential characteristic is thinking; and thinking itself, in its pure form at
least, is conceived of as simply the intuitive grasping of this or
that self-evident axiom and this or that of its deductive consequence. These
restrictive doctrines about reality and knowledge naturally call for
adjustments elsewhere in our ordinary scheme of things. With the help of the
divine substance, these are duly provided. It is not always obvious that
the metaphysicians scheme involves this kind of ontological preference, or
favoritism, or prejudice, or snobbery this tendency, that is, to promote one or
two categories of entity to the rank of the real, or of the ultimately real, to
the exclusion of others, Descartess entia realissima. One is taught at Oxford
that epistemology begins with the Moderns such as Descartes, which is not true.
Grice was concerned with “certain,” which was applied in Old Roman times to
this or that utterer: the person who is made certain in reference to a thing,
certain, sure. Lewis and Short have a few quotes: “certi sumus periisse omnia;”
“num quid nunc es certior?,” “posteritatis, i. e. of posthumous fame,”
“sententiæ,” “judicii,” “certus de suā geniturā;” “damnationis;” “exitii,”
“spei,” “matrimonii,” “certi sumus;” in the phrase “certiorem facere aliquem;”
“de aliquā re, alicujus rei, with a foll, acc. and inf., with a rel.-clause or
absol.;” “to inform, apprise one of a thing: me certiorem face: “ut nos facias
certiores,” “uti Cæsarem de his rebus certiorem faciant;” “qui certiorem me sui
consilii fecit;” “Cæsarem certiorem faciunt, sese non facile ab oppidis vim
hostium prohibere;” “faciam te certiorem quid egerim;” with subj. only,
“milites certiores facit, paulisper intermitterent proelium,” pass., “quod
crebro certior per me fias de omnibus rebus,” “Cæsar certior factus est, tres
jam copiarum partes Helvetios id flumen transduxisse;” “factus certior, quæ res
gererentur,” “non consulibus certioribus factis,” also in posit., though
rarely; “fac me certum quid tibi est;” “lacrimæ suorum tam subitæ matrem certam
fecere ruinæ,” uncertainty, Grice loved the OED, and its entry for will
was his favourite. But he first had a look to shall. For Grice, "I shall
climb Mt. Everest," is surely a prediction. And then Grice turns to the
auxiliary he prefers, will. Davidson, Intending, R. Grandy and Warner,
PGRICE. “Uncertainty,” “Aspects.” “Conception,” Davidson on intending,
intending and trying, Brandeis.”Method,” in “Conception,” WOW . Hampshire and
Hart. Decision, intention, and certainty, Mind, Harman, Willing and intending
in PGRICE. Practical reasoning. Review of Met.
29. Thought, Princeton, for functionalist approach alla Grice’s
“Method.” Principles of reasoning. Rational action and the extent of intention.
Social theory and practice. Jeffrey, Probability kinematics, in The logic of
decision, cited by Harman in PGRICE. Kahneman and Tversky, Judgement under
uncertainty, Science, cited by Harman in PGRICE. Nisbet and Ross, Human
inference, cited by Harman in PGRICE. Pears, Predicting and deciding. Prichard,
Acting, willing, and desiring, in Moral obligations, Oxford ed. by Urmson Speranza, The Grice Circle Wants You. Stout,
Voluntary action. Mind 5, repr in Studies in philosophy and psychology,
Macmillan, cited by Grice, “Uncertainty.” Urmson, ‘Introduction’ to Prichard’s
‘Moral obligations.’ I shant but Im not certain I wont – Grice. How
uncertain can Grice be? This is the Henriette Herz BA lecture, and as such published
in The Proceedings of the BA. Grice calls himself a neo-Prichardian (after
the Oxford philosopher) and cares to quote from a few other
philosophers ‒ some of whom he was not necessarily associated with:
such as Kenny and Anscombe, and some of whom he was, notably Pears. Grices
motto: Where there is a neo-Prichardian willing, there is a palæo-Griceian way!
Grice quotes Pears, of Christ Church, as the philosopher he found especially
congenial to explore areas in what both called philosophical psychology, notably
the tricky use of intending as displayed by a few philosophers even in their
own circle, such as Hampshire and Hart in Intention, decision, and
certainty. The title of Grices lecture is meant to provoke that pair of
Oxonian philosophers Grice knew so well and who were too ready to bring in
certainty in an area that requires deep philosophical exploration. This is
the Henriette Herz Trust annual lecture. It means its delivered
annually by different philosophers, not always Grice! Grice had been appointed
a FBA earlier, but he took his time to deliver his lecture. With your
lecture, you implicate, Hi! Grice, and indeed Pears, were motivated by
Hampshires and Harts essay on intention and certainty in Mind. Grice knew
Hampshire well, and had actually enjoyed his Thought and Action. He preferred
Hampshires Thought and action to Anscombes Intention. Trust Oxford being what
it is that TWO volumes on intending are published in the same year! Which one
shall I read first? Eventually, neither ‒ immediately. Rather, Grice managed to
unearth some sketchy notes by Prichard (he calls himself a neo-Prichardian)
that Urmson had made available for the Clarendon Press ‒ notably Prichards
essay on willing that. Only a Corpus-Christi genius like Prichard will
distinguish will to, almost unnecessary, from will that, so crucial. For Grice,
wills that , unlike wills to, is
properly generic, in that p, that follows the that-clause, need NOT refer to
the Subjects of the sentence. Surely I can will that Smith wins the match! But
Grice also quotes Anscombe (whom otherwise would not count, although they did
share a discussion panel at the American Philosophical Association) and Kenny,
besides Pears. Of Anscombe, Grice borrows (but never returns) the
direction-of-fit term of art, actually Austinian. From Kenny, Grice borrows
(and returns) the concept of voliting. His most congenial approach was
Pearss. Grice had of course occasion to explore disposition and intention
on earlier occasions. Grice is especially concerned with a dispositional
analysis to intending. He will later reject it in “Uncertainty.” But
that was Grice for you! Grice is especially interested in distinguishing his
views from Ryles over-estimated dispositional account of intention, which Grice
sees as reductionist, and indeed eliminationist, if not boringly behaviourist,
even in analytic key. The logic of dispositions is tricky, as Grice will later
explore in connection with rationality, rational propension or propensity, and
metaphysics, the as if operator). While Grice focuses on uncertainty, he is
trying to be funny. He knew that Oxonians like Hart and Hampshire were obsessed
with certainty. I was so surprised that Hampshire and Hart were claiming
decision and intention are psychological states about which the agent is
certain, that I decided on the spot that that could certainly be a nice
topic for my BA lecture! Grice granted that in some cases, a declaration of an
intention can be authorative in a certain certain way, i. e. as implicating
certainty. But Grice wants us to consider: Marmaduke Bloggs intends to climb
Mt. Everest. Surely he cant be certain hell succeed. Grice used the
same example at the APA, of all places. To amuse Grice, Davidson, who was
present, said: Surely thats just an implicature! Just?! Grice was
almost furious in his British guarded sort of way. Surely not
just! Pears, who was also present, tried to reconcile: If I may,
Davidson, I think Grice would take it that, if certainty is implicated, the
whole thing becomes too social to be true. They kept discussing
implicature versus entailment. Is certainty entailed then? Cf. Urmson on
certainly vs. knowingly, and believably. Davidson asked. No,
disimplicated! is Grices curt reply. The next day, he explained to
Davidson that he had invented the concept of disimplicature just to tease him,
and just one night before, while musing in the hotel room! Talk of uncertainty
was thus for Grice intimately associated with his concern about the misuse of
know to mean certain, especially in the exegeses that Malcolm made popular
about, of all people, Moore! V. Scepticism and common sense and Moore and
philosophers paradoxes above, and Causal theory and Prolegomena for a summary
of Malcoms misunderstanding Moore! Grice manages to quote from Stouts Voluntary
action and Brecht. And he notes that not all speakers are as sensitive as they
should be (e.g. distinguishing modes, as realised by shall vs. will). He
emphasizes the fact that Prichard has to be given great credit for seeing that
the accurate specification of willing should be willing that and not willing
to. Grice is especially interested in proving Stoutians (like Hampshire and
Hart) wrong by drawing from Aristotles prohairesis-doxa distinction, or in his
parlance, the buletic-doxastic distinction. Grice quotes from Aristotle.
Prohairesis cannot be opinion/doxa. For opinion is thought to relate to all
kinds of things, no less to eternal things and impossible things than to things
in our own power; and it is distinguished by its falsity or truth, not by its
badness or goodness, while choice is distinguished rather by these. Now with
opinion in general perhaps no one even says it is identical. But it is not
identical even with any kind of opinion; for by choosing or deciding, or
prohairesis, what is good or bad we are men of a certain character, which we
are not by holding this or that opinion or doxa. And we choose to get or avoid
something good or bad, but we have opinions about what a thing is or whom it is
good for or how it is good for him; we can hardly be said to opine to get or
avoid anything. And choice is praised for being related to the right object
rather than for being rightly related to it, opinion for being truly related to
its object. And we choose what we best know to be good, but we opine what we do
not quite know; and it is not the same people that are thought to make the best
choices and to have the best opinions, but some are thought to have fairly good
opinions, but by reason of vice to choose what they should not. If opinion
precedes choice or accompanies it, that makes no difference; for it is not this
that we are considering, but whether it is identical with some kind of opinion.
What, then, or what kind of thing is it, since it is none of the things we have
mentioned? It seems to be voluntary, but not all that is voluntary to be an
object of choice. Is it, then, what has been decided on by previous
deliberation? At any rate choice involves a rational principle and thought.
Even the Names seems to suggest that it is what is chosen before other things.
His final analysis of G intends that p is in terms of, B1, a buletic condition,
to the effect that G wills that p, and D2, an attending doxastic condition, to
the effect that G judges that B1 causes p. Grice ends this essay with a nod to
Pears and an open point about the justifiability (other than evidential) for
the acceptability of the agents deciding and intending versus the evidential
justifiability of the agents predicting that what he intends will be satisfied.
It is important to note that in his earlier Disposition and intention, Grice
dedicates the first part to counterfactual if general. This is a logical point.
Then as an account for a psychological souly concept ψ. If G does A, sensory
input, G does B, behavioural output. No ψ without the behavioural output that ψ
is meant to explain. His problem is with the first person. The functionalist I
does not need a black box. The here
would be both incorrigibility and privileged access. Pology only explains their
evolutionary import. Certum -- Certainty: cf. H. P. Grice, “Intention and
uncertainty.” the property of being certain, which is either a psychological
property of persons or an epistemic feature of proposition-like objects e.g.,
beliefs, utterances, statements. We can say that a person, S, is
psychologically certain that p where ‘p’ stands for a proposition provided S
has no doubt whatsoever that p is true. Thus, a person can be certain
regardless of the degree of epistemic warrant for a proposition. In general,
philosophers have not found this an interesting property to explore. The
exception is Peter Unger, who argued for skepticism, claiming that 1
psychological certainty is required for knowledge and 2 no person is ever
certain of anything or hardly anything. As applied to propositions, ‘certain’
has no univocal use. For example, some authors e.g., Chisholm may hold that a
proposition is epistemically certain provided no proposition is more warranted
than it. Given that account, it is possible that a proposition is certain, yet
there are legitimate reasons for doubting it just as long as there are equally
good grounds for doubting every equally warranted proposition. Other
philosophers have adopted a Cartesian account of certainty in which a
proposition is epistemically certain provided it is warranted and there are no
legitimate grounds whatsoever for doubting it. Both Chisholm’s and the
Cartesian characterizations of epistemic certainty can be employed to provide a
basis for skepticism. If knowledge entails certainty, then it can be argued that
very little, if anything, is known. For, the argument continues, only
tautologies or propositions like ‘I exist’ or ‘I have beliefs’ are such that
either nothing is more warranted or there are absolutely no grounds for doubt.
Thus, hardly anything is known. Most philosophers have responded either by
denying that ‘certainty’ is an absolute term, i.e., admitting of no degrees, or
by denying that knowledge requires certainty Dewey, Chisholm, Vitters, and
Lehrer. Others have agreed that knowledge does entail absolute certainty, but
have argued that absolute certainty is possible e.g., Moore. Sometimes
‘certain’ is modified by other expressions, as in ‘morally certain’ or
‘metaphysically certain’ or ‘logically certain’. Once again, there is no
universally accepted account of these terms. Typically, however, they are used
to indicate degrees of warrant for a proposition, and often that degree of
warrant is taken to be a function of the type of proposition under
consideration. For example, the proposition that smoking causes cancer is
morally certain provided its warrant is sufficient to justify acting as though
it were true. The evidence for such a proposition may, of necessity, depend
upon recognizing particular features of the world. On the other hand, in order
for a proposition, say that every event has a cause, to be metaphysically
certain, the evidence for it must not depend upon recognizing particular
features of the world but rather upon recognizing what must be true in order
for our world to be the kind of world it is
i.e., one having causal connections. Finally, a proposition, say that
every effect has a cause, may be logically certain if it is derivable from
“truths of logic” that do not depend in any way upon recognizing anything about
our world. Since other taxonomies for these terms are employed by philosophers,
it is crucial to examine the use of the terms in their contexts. Refs.: The main source is his BA lecture on
‘uncertainty,’ but using the keyword ‘certainty’ is useful too. His essay on
Descartes in WoW is important, and sources elsehere in the Grice Papers, such
as the predecessor to the “Uncertainty” lecture in “Disposition and intention,”
also his discussion of avowal (vide references above), incorrigibility and
privileged access in “Method,” repr. in “Conception,” BANC
character, mid-14c., carecter, "symbol marked or branded on the
body;" mid-15c., "symbol or drawing used in sorcery;" late 15c.,
"alphabetic letter, graphic symbol standing for a sound or syllable;"
from Old French caratere "feature, character" (13c., Modern French
caractère), from Latin character, from Greek kharaktēr "engraved
mark," also "symbol or imprint on the soul," properly
"instrument for marking," from kharassein "to engrave,"
from kharax "pointed stake," a word of uncertain etymology which
Beekes considers "most probably Pre-Greek." The Latin ch-
spelling was restored from 1500s. The meaning of Greek kharaktēr was
extended in Hellenistic times by metaphor to "a defining quality, individual
feature." In English, the meaning "sum of qualities that define a
person or thing and distinguish it from another" is from 1640s. That of
"moral qualities assigned to a person by repute" is from 1712.
You remember Eponina, who kept her husband alive in an underground cavern so
devotedly and heroically? The force of character she showed in keeping up his
spirits would have been used to hide a lover from her husband if they had been
living quietly in Rome. Strong characters need strong nourishment. [Stendhal
"de l'Amour," 1822] Sense of "person in a play or
novel" is first attested 1660s, in reference to the "defining
qualities" he or she is given by the author. Meaning "a person"
in the abstract is from 1749; especially "eccentric person" (1773).
Colloquial sense of "chap, fellow" is from 1931. Character-actor, one
who specializes in characters with marked peculiarities, is attested from 1861;
character-assassination is from 1888; character-building (n.) from 1886.
-- the comprehensive set of ethical and intellectual dispositions of a person.
Intellectual virtues like carefulness in
the evaluation of evidence promote, for
one, the practice of seeking truth. Moral or ethical virtues including traits like courage and
generosity dispose persons not only to
choices and actions but also to attitudes and emotions. Such dispositions are
generally considered relatively stable and responsive to reasons. Appraisal of
character transcends direct evaluation of particular actions in favor of
examination of some set of virtues or the admirable human life as a whole. On
some views this admirable life grounds the goodness of particular actions. This
suggests seeking guidance from role models, and their practices, rather than
relying exclusively on rules. Role models will, at times, simply perceive the
salient features of a situation and act accordingly. Being guided by role
models requires some recognition of just who should be a role model. One may
act out of character, since dispositions do not automatically produce
particular actions in specific cases. One may also have a conflicted character
if the virtues one’s character comprises contain internal tensions between,
say, tendencies to impartiality and to friendship. The importance of formative
education to the building of character introduces some good fortune into the
acquisition of character. One can have a good character with a disagreeable
personality or have a fine personality with a bad character because personality
is not typically a normative notion, whereas character is.
Charron: p., H. P. Grice,
“Do not multiply truths beyond necessity.” theologian who became the principal
expositor of Montaigne’s ideas, presenting them in didactic form. His first
work, The Three Truths 1595, presented a negative argument for Catholicism by
offering a skeptical challenge to atheism, nonChristian religions, and
Calvinism. He argued that we cannot know or understand God because of His
infinitude and the weakness of our faculties. We can have no good reasons for
rejecting Christianity or Catholicism. Therefore, we should accept it on faith
alone. His second work, On Wisdom 1603, is a systematic presentation of
Pyrrhonian skepticism coupled with a fideistic defense of Catholicism. The
skepticism of Montaigne and the Grecian skeptics is used to show that we cannot
know anything unless God reveals it to us. This is followed by offering an
ethics to live by, an undogmatic version of Stoicism. This is the first modern
presentation of a morality apart from any religious considerations. Charron’s
On Wisdom was extremely popular in France and England. It was read and used by
many philosophers and theologians during the seventeenth century. Some claimed
that his skepticism opened his defense of Catholicism to question, and
suggested that he was insincere in his fideism. He was defended by important
figures in the Catholic church.
chiliagon: referred to by Grice in “Some remarks about the
senses.’ In geometry, a chiliagon, or 1000-gon is a polygon with 1,000 sides. Philosophers commonly refer to chiliagons
to illustrate ideas about the nature and workings of thought, meaning, and
mental representation. A chiliagon is a regular
chiliagon Polygon 1000.svg A regular chiliagon Type Regular polygon Edges and
vertices 1000 Schläfli symbol {1000}, t{500}, tt{250}, ttt{125} Coxeter diagram
CDel node 1.pngCDel 10.pngCDel 0x.pngCDel 0x.pngCDel node.png CDel node
1.pngCDel 5.pngCDel 0x.pngCDel 0x.pngCDel node 1.png Symmetry group Dihedral
(D1000), order 2×1000 Internal angle (degrees) 179.64° Dual polygon Self
Properties Convex, cyclic, equilateral, isogonal, isotoxal A whole
regular chiliagon is not visually discernible from a circle. The lower section
is a portion of a regular chiliagon, 200 times as large as the smaller one,
with the vertices highlighted. In geometry, a chiliagon (/ˈkɪliəɡɒn/) or
1000-gon is a polygon with 1,000 sides. Philosophers commonly refer to
chiliagons to illustrate ideas about the nature and workings of thought,
meaning, and mental representation. Contents 1 Regular chiliagon 2
Philosophical application 3 Symmetry 4 Chiliagram 5 See also 6 References
Regular chiliagon A regular chiliagon is represented by Schläfli symbol {1,000}
and can be constructed as a truncated 500-gon, t{500}, or a twice-truncated
250-gon, tt{250}, or a thrice-truncated 125-gon, ttt{125}. The measure of
each internal angle in a regular chiliagon is 179.64°. The area of a regular
chiliagon with sides of length a is given by {\displaystyle
A=250a^{2}\cot {\frac {\pi }{1000}}\simeq 79577.2\,a^{2}}A=250a^{2}\cot
{\frac {\pi }{1000}}\simeq 79577.2\,a^{2} This result differs from the
area of its circumscribed circle by less than 4 parts per million.
Because 1,000 = 23 × 53, the number of sides is neither a product of distinct
Fermat primes nor a power of two. Thus the regular chiliagon is not a
constructible polygon. Indeed, it is not even constructible with the use of
neusis or an angle trisector, as the number of sides is neither a product of
distinct Pierpont primes, nor a product of powers of two and three.
Philosophical application René Descartes uses the chiliagon as an example in
his Sixth Meditation to demonstrate the difference between pure intellection
and imagination. He says that, when one thinks of a chiliagon, he "does
not imagine the thousand sides or see them as if they were present" before
him – as he does when one imagines a triangle, for example. The imagination constructs
a "confused representation," which is no different from that which it
constructs of a myriagon (a polygon with ten thousand sides). However, he does
clearly understand what a chiliagon is, just as he understands what a triangle
is, and he is able to distinguish it from a myriagon. Therefore, the intellect
is not dependent on imagination, Descartes claims, as it is able to entertain
clear and distinct ideas when imagination is unable to. Philosopher Pierre
Gassendi, a contemporary of Descartes, was critical of this interpretation,
believing that while Descartes could imagine a chiliagon, he could not
understand it: one could "perceive that the word 'chiliagon' signifies a
figure with a thousand angles [but] that is just the meaning of the term, and
it does not follow that you understand the thousand angles of the figure any
better than you imagine them." The example of a chiliagon is also
referenced by other philosophers, such as Immanuel Kant. David Hume points out
that it is "impossible for the eye to determine the angles of a chiliagon
to be equal to 1996 right angles, or make any conjecture, that approaches this
proportion."[4] Gottfried Leibniz comments on a use of the chiliagon by
John Locke, noting that one can have an idea of the polygon without having an image
of it, and thus distinguishing ideas from images. Henri Poincaré uses the
chiliagon as evidence that "intuition is not necessarily founded on the
evidence of the senses" because "we can not represent to ourselves a
chiliagon, and yet we reason by intuition on polygons in general, which include
the chiliagon as a particular case." Inspired by Descartes's chiliagon example,
Grice, R. M. Chisholm and other 20th-century philosophers have used similar
examples to make similar points. Chisholm's ‘speckled hen,’ which need not have
a determinate number of speckles to be successfully imagined, is perhaps the
most famous of these. Symmetry The symmetries of a regular chiliagon.
Light blue lines show subgroups of index 2. The 4 boxed subgraphs are
positionally related by index 5 subgroups. The regular chiliagon has Dih1000
dihedral symmetry, order 2000, represented by 1,000 lines of reflection. Dih100
has 15 dihedral subgroups: Dih500, Dih250, Dih125, Dih200, Dih100, Dih50,
Dih25, Dih40, Dih20, Dih10, Dih5, Dih8, Dih4, Dih2, and Dih1. It also has 16
more cyclic symmetries as subgroups: Z1000, Z500, Z250, Z125, Z200, Z100, Z50,
Z25, Z40, Z20, Z10, Z5, Z8, Z4, Z2, and Z1, with Zn representing π/n radian
rotational symmetry. John Conway labels these lower symmetries with a
letter and order of the symmetry follows the letter.[8] He gives d (diagonal)
with mirror lines through vertices, p with mirror lines through edges (perpendicular),
i with mirror lines through both vertices and edges, and g for rotational
symmetry. a1 labels no symmetry. These lower symmetries allow degrees of
freedom in defining irregular chiliagons. Only the g1000 subgroup has no
degrees of freedom but can be seen as directed edges. Chiliagram A
chiliagram is a 1,000-sided star polygon. There are 199 regular forms[9] given
by Schläfli symbols of the form {1000/n}, where n is an integer between 2 and
500 that is coprime to 1,000. There are also 300 regular star figures in the
remaining cases. For example, the regular {1000/499} star polygon is
constructed by 1000 nearly radial edges. Each star vertex has an internal angle
of 0.36 degrees.[10] {1000/499} Star polygon 1000-499.svg Star polygon
1000-499 center.png Central area with moiré patterns See also Myriagon Megagon
Philosophy of Mind Philosophy of Language References Meditation VI by
Descartes (English translation). Sepkoski, David (2005). "Nominalism
and constructivism in seventeenth-century mathematical philosophy".
Historia Mathematica. 32: 33–59. doi:10.1016/j.hm.2003.09.002. Immanuel
Kant, "On a Discovery," trans. Henry Allison, in Theoretical
Philosophy After 1791, ed. Henry Allison and Peter Heath, Cambridge UP, 2002
[Akademie 8:121]. Kant does not actually use a chiliagon as his example,
instead using a 96-sided figure, but he is responding to the same question
raised by Descartes. David Hume, The Philosophical Works of David Hume,
Volume 1, Black and Tait, 1826, p. 101. Jonathan Francis Bennett (2001),
Learning from Six Philosophers: Descartes, Spinoza, Leibniz, Locke, Berkeley,
Hume, Volume 2, Oxford University Press, ISBN 0198250924, p. 53. Henri
Poincaré (1900) "Intuition and Logic in Mathematics" in William Bragg
Ewald (ed) From Kant to Hilbert: A Source Book in the Foundations of
Mathematics, Volume 2, Oxford University Press, 2007, ISBN 0198505361, p.
1015. Roderick Chisholm, "The Problem of the Speckled Hen",
Mind 51 (1942): pp. 368–373. "These problems are all descendants of Descartes's
'chiliagon' argument in the sixth of his Meditations" (Joseph Heath,
Following the Rules: Practical Reasoning and Deontic Constraint, Oxford: OUP,
2008, p. 305, note 15). The Symmetries of Things, Chapter 20 199 =
500 cases − 1 (convex) − 100 (multiples of 5) − 250 (multiples of 2) + 50
(multiples of 2 and 5) 0.36 = 180 (1 - 2 /(1000 / 499) ) = 180 ( 1 – 998 /
1000 ) = 180 ( 2 / 1000 ) = 180 / 500 chiliagon vte Polygons (List) Triangles
Acute Equilateral Ideal IsoscelesObtuseRight Quadrilaterals Antiparallelogram Bicentric
CyclicEquidiagonalEx-tangentialHarmonic Isosceles
trapezoidKiteLambertOrthodiagonal Parallelogram Rectangle Right kite Rhombus Saccheri
SquareTangentialTangential trapezoidTrapezoid By number of sides Monogon
(1) Digon (2) Triangle (3) Quadrilateral (4) Pentagon (5) Hexagon (6) Heptagon
(7) Octagon (8) Nonagon (Enneagon, 9) Decagon (10) Hendecagon (11) Dodecagon
(12) Tridecagon (13) Tetradecagon (14) Pentadecagon (15) Hexadecagon (16) Heptadecagon
(17) Octadecagon (18) Enneadecagon (19)Icosagon (20)Icosihenagon [de]
(21)Icosidigon (22) Icositetragon (24) Icosihexagon (26) Icosioctagon (28) Triacontagon
(30) Triacontadigon (32) Triacontatetragon (34) Tetracontagon (40) Tetracontadigon
(42)Tetracontaoctagon (48)Pentacontagon (50) Pentacontahenagon [de] (51) Hexacontagon
(60) Hexacontatetragon (64) Heptacontagon (70)Octacontagon (80) Enneacontagon
(90) Enneacontahexagon (96) Hectogon (100) 120-gon257-gon360-gonChiliagon
(1000) Myriagon (10000) 65537-gonMegagon (1000000) 4294967295-gon [ru;
de]Apeirogon (∞) Star polygons Pentagram Hexagram Heptagram Octagram Enneagram Decagram
Hendecagram Dodecagram Classes Concave Convex Cyclic Equiangular Equilateral Isogonal
Isotoxal Pseudotriangle Regular Simple SkewStar-shaped Tangential Categories:
Polygons1000 (number).
choice, v. rational
choice. choice sequence, a variety of infinite sequence introduced by L. E. J.
Brouwer to express the non-classical properties of the continuum the set of
real numbers within intuitionism. A choice sequence is determined by a finite
initial segment together with a “rule” for continuing the sequence. The rule,
however, may allow some freedom in choosing each subsequent element. Thus the
sequence might start with the rational numbers 0 and then ½, and the rule might
require the n ! 1st element to be some rational number within ½n of the nth
choice, without any further restriction. The sequence of rationals thus
generated must converge to a real number, r. But r’s definition leaves open its
exact location in the continuum. Speaking intuitionistically, r violates the
classical law of trichotomy: given any pair of real numbers e.g., r and ½, the
first is either less than, equal to, or greater than the second. From the 0s
Brouwer got this non-classical effect without appealing to the apparently
nonmathematical notion of free choice. Instead he used sequences generated by
the activity of an idealized mathematician the creating subject, together with
propositions that he took to be undecided. Given such a proposition, P e.g. Fermat’s last theorem that for n 2 there is no general method of finding
triplets of numbers with the property that the sum of each of the first two
raised to the nth power is equal to the result of raising the third to the nth
power or Goldbach’s conjecture that every even number is the sum of two prime
numbers we can modify the definition of
r: The n ! 1st element is ½ if at the nth stage of research P remains
undecided. That element and all its successors are ½ ! ½n if by that stage P is
proved; they are ½ † ½n if P is refuted. Since he held that there is an endless
supply of such propositions, Brouwer believed that we can always use this
method to refute classical laws. In the early 0s Stephen Kleene and Richard
Vesley reproduced some main parts of Brouwer’s theory of the continuum in a
formal system based on Kleene’s earlier recursion-theoretic interpretation of
intuitionism and of choice sequences. At about the same time but in a different and occasionally
incompatible vein Saul Kripke formally
captured the power of Brouwer’s counterexamples without recourse to recursive
functions and without invoking either the creating subject or the notion of
free choice. Subsequently Georg Kreisel, A. N. Troelstra, Dirk Van Dalen, and
others produced formal systems that analyze Brouwer’s basic assumptions about
open-futured objects like choice sequences.
Church’s thesis, the
thesis, proposed by Alonzo Church at a meeting of the Mathematical Society in April 5, “that the
notion of an effectively calculable function of positive integers should be
identified with that of a recursive function. . . .” This proposal has been
called Church’s thesis ever since Kleene used that name in his Introduction to
Metamathematics 2. The informal notion of an effectively calculable function
effective procedure, or algorithm had been used in mathematics and logic to
indicate that a class of problems is solvable in a “mechanical fashion” by
following fixed elementary rules. Underlying epistemological concerns came to
the fore when modern logic moved in the late nineteenth century from axiomatic
to formal presentations of theories. Hilbert suggested in 4 that such formally
presented theories be taken as objects of mathematical study, and
metamathematics has been pursued vigorously and systematically since the 0s. In
its pursuit, concrete issues arose that required for their resolution a
delimitation of the class of effective procedures. Hilbert’s important
Entscheidungsproblem, the decision problem for predicate logic, was one such
issue. It was solved negatively by Church and Turing relative to the precise notion of
recursiveness; the result was obtained independently by Church and Turing, but
is usually called Church’s theorem. A second significant issue was the general
formulation of the incompleteness theorems as applying to all formal theories
satisfying the usual representability and derivability conditions, not just to
specific formal systems like that of Principia Mathematica. According to
Kleene, Church proposed in 3 the identification of effective calculability with
l-definability. That proposal was not published at the time, but in 4 Church
mentioned it in conversation to Gödel, who judged it to be “thoroughly
unsatisfactory.” In his Princeton Lectures of 4, Gödel defined the concept of a
recursive function, but he was not convinced that all effectively calculable
functions would fall under it. The proof of the equivalence between
l-definability and recursiveness by Church and Kleene led to Church’s first
published formulation of the thesis as quoted above. The thesis was reiterated
in Church’s “An Unsolvable Problem of Elementary Number Theory” 6. Turing
introduced, in “On Computable Numbers, with an Application to the
Entscheidungsproblem” 6, a notion of computability by machines and maintained
that it captures effective calculability exactly. Post’s paper “Finite
Combinatory Processes, Formulation 1” 6 contains a model of computation that is
strikingly similar to Turing’s. However, Post did not provide any analysis; he suggested
considering the identification of effective calculability with his concept as a
working hypothesis that should be verified by investigating ever wider
formulations and reducing them to his basic formulation. The classic papers of
Gödel, Church, Turing, Post, and Kleene are all reprinted in Davis, ed., The
Undecidable, 5. In his 6 paper Church gave one central reason for the proposed
identification, namely that other plausible explications of the informal notion
lead to mathematical concepts weaker than or equivalent to recursiveness. Two
paradigmatic explications, calculability of a function via algorithms or in a
logic, were considered by Church. In either case, the steps taken in
determining function values have to be effective; and if the effectiveness of
steps is, as Church put it, interpreted to mean recursiveness, then the
function is recursive. The fundamental interpretative difficulty in Church’s
“step-by-step argument” which was turned into one of the “recursiveness
conditions” Hilbert and Bernays used in their 9 characterization of functions
that can be evaluated according to rules was bypassed by Turing. Analyzing
human mechanical computations, Turing was led to finiteness conditions that are
motivated by the human computer’s sensory limitations, but are ultimately based
on memory limitations. Then he showed that any function calculable by a human
computer satisfying these conditions is also computable by one of his machines.
Both Church and Gödel found Turing’s analysis convincing; indeed, Church wrote
in a 7 review of Turing’s paper that Turing’s notion makes “the identification
with effectiveness in the ordinary not explicitly defined sense evident
immediately.” This reflective work of partly philosophical and partly
mathematical character provides one of the fundamental notions in mathematical
logic. Indeed, its proper understanding is crucial for judging the
philosophical significance of central metamathematical results like Gödel’s incompleteness theorems or
Church’s theorem. The work is also crucial for computer science, artificial
intelligence, and cognitive psychology, providing in these fields a basic
theoretical notion. For example, Church’s thesis is the cornerstone for Newell
and Simon’s delimitation of the class of physical symbol systems, i.e.
universal machines with a particular architecture; see Newell’s Physical Symbol
Systems 0. Newell views the delimitation “as the most fundamental contribution
of artificial intelligence and computer science to the joint enterprise of cognitive
science.” In a turn that had been taken by Turing in “Intelligent Machinery” 8
and “Computing Machinery and Intelligence” 0, Newell points out the basic role
physical symbol systems take on in the study of the human mind: “the hypothesis
is that humans are instances of physical symbol systems, and, by virtue of
this, mind enters into the physical universe. . . . this hypothesis sets the
terms on which we search for a scientific theory of mind.”
Ciceronian implicature:
Marcus Tullius, Roman statesman, orator, essayist, and letter writer. He was
important not so much for formulating individual philosophical arguments as for
expositions of the doctrines of the major schools of Hellenistic philosophy,
and for, as he put it, “teaching philosophy to speak Latin.” The significance
of the latter can hardly be overestimated. Cicero’s coinages helped shape the
philosophical vocabulary of the Latin-speaking West well into the early modern
period. The most characteristic feature of Cicero’s thought is his attempt to
unify philosophy and rhetoric. His first major trilogy, On the Orator, On the
Republic, and On the Laws, presents a vision of wise statesmen-philosophers
whose greatest achievement is guiding political affairs through rhetorical
persuasion rather than violence. Philosophy, Cicero argues, needs rhetoric to
effect its most important practical goals, while rhetoric is useless without
the psychological, moral, and logical justification provided by philosophy.
This combination of eloquence and philosophy constitutes what he calls
humanitas a coinage whose enduring
influence is attested in later revivals of humanism and it alone provides the foundation for
constitutional governments; it is acquired, moreover, only through broad
training in those subjects worthy of free citizens artes liberales. In
philosophy of education, this Ciceronian conception of a humane education
encompassing poetry, rhetoric, history, morals, and politics endured as an
ideal, especially for those convinced that instruction in the liberal
disciplines is essential for citizens if their rational autonomy is to be
expressed in ways that are culturally and politically beneficial. A major aim
of Cicero’s earlier works is to appropriate for Roman high culture one of
Greece’s most distinctive products, philosophical theory, and to demonstrate
Roman superiority. He thus insists that Rome’s laws and political institutions
successfully embody the best in Grecian political theory, whereas the Grecians
themselves were inadequate to the crucial task of putting their theories into
practice. Taking over the Stoic conception of the universe as a rational whole,
governed by divine reason, he argues that human societies must be grounded in
natural law. For Cicero, nature’s law possesses the characteristics of a legal
code; in particular, it is formulable in a comparatively extended set of rules
against which existing societal institutions can be measured. Indeed, since
they so closely mirror the requirements of nature, Roman laws and institutions
furnish a nearly perfect paradigm for human societies. Cicero’s overall theory,
if not its particular details, established a lasting framework for
anti-positivist theories of law and morality, including those of Aquinas,
Grotius, Suárez, and Locke. The final two years of his life saw the creation of
a series of dialogue-treatises that provide an encyclopedic survey of
Hellenistic philosophy. Cicero himself follows the moderate fallibilism of
Philo of Larissa and the New Academy. Holding that philosophy is a method and
not a set of dogmas, he endorses an attitude of systematic doubt. However,
unlike Cartesian doubt, Cicero’s does not extend to the real world behind
phenomena, since he does not envision the possibility of strict phenomenalism.
Nor does he believe that systematic doubt leads to radical skepticism about
knowledge. Although no infallible criterion for distinguishing true from false
impressions is available, some impressions, he argues, are more “persuasive”
probabile and can be relied on to guide action. In Academics he offers detailed
accounts of Hellenistic epistemological debates, steering a middle course
between dogmatism and radical skepticism. A similar strategy governs the rest
of his later writings. Cicero presents the views of the major schools, submits
them to criticism, and tentatively supports any positions he finds
“persuasive.” Three connected works, On Divination, On Fate, and On the Nature
of the Gods, survey Epicurean, Stoic, and Academic arguments about theology and
natural philosophy. Much of the treatment of religious thought and practice is
cool, witty, and skeptically detached
much in the manner of eighteenth-century philosophes who, along with
Hume, found much in Cicero to emulate. However, he concedes that Stoic
arguments for providence are “persuasive.” So too in ethics, he criticizes
Epicurean, Stoic, and Peripatetic doctrines in On Ends 45 and their views on
death, pain, irrational emotions, and happiChurch-Turing thesis Cicero, Marcus
Tullius 143 143 ness in Tusculan
Disputations 45. Yet, a final work, On Duties, offers a practical ethical
system based on Stoic principles. Although sometimes dismissed as the
eclecticism of an amateur, Cicero’s method of selectively choosing from what
had become authoritative professional systems often displays considerable
reflectiveness and originality.
Circulus – Grice’s circle
-- Grice’s circle -- circular reasoning, reasoning that, when traced backward
from its conclusion, returns to that starting point, as one returns to a
starting point when tracing a circle. The discussion of this topic by Richard
Whatley in his Logic sets a high standard of clarity and penetration. Logic
textbooks often quote the following example from Whatley: To allow every man an
unbounded freedom of speech must always be, on the whole, advantageous to the
State; for it is highly conducive to the interests of the Community, that each
individual should enjoy a liberty perfectly unlimited, of expressing his
sentiments. This passage illustrates how circular reasoning is less obvious in
a language, such as English, that, in Whatley’s words, is “abounding in
synonymous expressions, which have no resemblance in sound, and no connection
in etymology.” The premise and conclusion do not consist of just the same words
in the same order, nor can logical or grammatical principles transform one into
the other. Rather, they have the same propositional content: they say the same
thing in different words. That is why appealing to one of them to provide
reason for believing the other amounts to giving something as a reason for
itself. Circular reasoning is often said to beg the question. ‘Begging the
question’ and petitio principii are translations of a phrase in Aristotle
connected with a game of formal disputation played in antiquity but not in
recent times. The meanings of ‘question’ and ‘begging’ do not in any clear way
determine the meaning of ‘question begging’. There is no simple argument form
that all and only circular arguments have. It is not logic, in Whatley’s
example above, that determines the identity of content between the premise and
the conclusion. Some theorists propose rather more complicated formal or
syntactic accounts of circularity. Others believe that any account of circular
reasoning must refer to the beliefs of those who reason. Whether or not the
following argument about articles in this dictionary is circular depends on why
the first premise should be accepted: 1 The article on inference contains no
split infinitives. 2 The other articles contain no split infinitives.
Therefore, 3 No article contains split infinitives. Consider two cases. Case I:
Although 2 supports 1 inductively, both 1 and 2 have solid outside support
independent of any prior acceptance of 3. This reasoning is not circular. Case
II: Someone who advances the argument accepts 1 or 2 or both, only because he
believes 3. Such reasoning is circular, even though neither premise expresses
just the same proposition as the conclusion. The question remains controversial
whether, in explaining circularity, we should refer to the beliefs of
individual reasoners or only to the surrounding circumstances. One purpose of
reasoning is to increase the degree of reasonable confidence that one has in
the truth of a conclusion. Presuming the truth of a conclusion in support of a
premise thwarts this purpose, because the initial degree of reasonable
confidence in the premise cannot then exceed the initial degree of reasonable
confidence in the conclusion. Circulus -- diallelon from ancient Grecian di
allelon, ‘through one another’, a circular definition. A definition is circular
provided either the definiendum occurs in the definiens, as in ‘Law is a lawful
command’, or a first term is defined by means of a second term, which in turn
is defined by the first term, as in ‘Law is the expressed wish of a ruler, and
a ruler is one who establishes laws.’ A diallelus is a circular argument: an
attempt to establish a conclusion by a premise that cannot be known unless the
conclusion is known in the first place. Descartes, e.g., argued: I clearly and
distinctly perceive that God exists, and what I clearly and distinctly perceive
is true. Therefore, God exists. To justify the premise that clear and distinct
perceptions are true, however, he appealed to his knowledge of God’s existence.
civil disobedience:
explored by H. P. Grice in his analysis of moral vs. legal right -- a
deliberate violation of the law, committed in order to draw attention to or
rectify perceived injustices in the law or policies of a state. Illustrative
questions raised by the topic include: how are such acts justified, how should
the legal system respond to such acts when justified, and must such acts be
done publicly, nonviolently, and/or with a willingness to accept attendant
legal sanctions?
Clarke, Samuel. Grice
analyses Clark’s proof of the existence of God in “Aspects of reasoning” --
English philosopher, preacher, and theologian. Born in Norwich, he was educated
at Cambridge, where he came under the influence of Newton. Upon graduation
Clarke entered the established church, serving for a time as chaplain to Queen
Anne. He spent the last twenty years of his life as rector of St. James,
Westminster. Clarke wrote extensively on controversial theological and
philosophical issues the nature of space
and time, proofs of the existence of God, the doctrine of the Trinity, the
incorporeality and natural immortality of the soul, freedom of the will, the
nature of morality, etc. His most philosophical works are his Boyle lectures of
1704 and 1705, in which he developed a forceful version of the cosmological
argument for the existence and nature of God and attacked the views of Hobbes,
Spinoza, and some proponents of deism; his correspondence with Leibniz 171516,
in which he defended Newton’s views of space and time and charged Leibniz with
holding views inconsistent with free will; and his writings against Anthony
Collins, in which he defended a libertarian view of the agent as the
undetermined cause of free actions and attacked Collins’s arguments for a
materialistic view of the mind. In these works Clarke maintains a position of
extreme rationalism, contending that the existence and nature of God can be
conclusively demonstrated, that the basic principles of morality are
necessarily true and immediately knowable, and that the existence of a future
state of rewards and punishments is assured by our knowledge that God will
reward the morally just and punish the morally wicked.
Class: the class for
those philosophers whose class have no members -- a term sometimes used as a
synonym for ‘set’. When the two are distinguished, a class is understood as a
collection in the logical sense, i.e., as the extension of a concept e.g. the
class of red objects. By contrast, sets, i.e., collections in the mathematical
sense, are understood as occurring in stages, where each stage consists of the
sets that can be formed from the non-sets and the sets already formed at
previous stages. When a set is formed at a given stage, only the non-sets and
the previously formed sets are even candidates for membership, but absolutely
anything can gain membership in a class simply by falling under the appropriate
concept. Thus, it is classes, not sets, that figure in the inconsistent
principle of unlimited comprehension. In set theory, proper classes are collections
of sets that are never formed at any stage, e.g., the class of all sets since
new sets are formed at each stage, there is no stage at which all sets are
available to be collected into a set.
classical republicanism:
Grice was a British subject and found classical republicanism false -- also
known as civic humanism, a political outlook developed by Machiavelli in
Renaissance Italy and by James Harrington in England, modified by
eighteenth-century British and Continental writers and important for the
thought of the founding fathers. Drawing
on Roman historians, Machiavelli argued that a state could hope for security
from the blows of fortune only if its male citizens were devoted to its
well-being. They should take turns ruling and being ruled, be always prepared
to fight for the republic, and limit their private possessions. Such men would
possess a wholly secular virtù appropriate to political beings. Corruption, in
the form of excessive attachment to private interest, would then be the most serious
threat to the republic. Harrington’s utopian Oceana 1656 portrayed England
governed under such a system. Opposing the authoritarian views of Hobbes, it
described a system in which the well-to-do male citizens would elect some of
their number to govern for limited terms. Those governing would propose state
policies; the others would vote on the acceptability of the proposals.
Agriculture was the basis of economics, civil rights classical republicanism
145 145 but the size of estates was to
be strictly controlled. Harringtonianism helped form the views of the political
party opposing the dominance of the king and court. Montesquieu in France drew
on classical sources in discussing the importance of civic virtue and devotion
to the republic. All these views were well known to Jefferson, Adams, and
other colonial and revolutionary
thinkers; and some contemporary communitarian critics of culture return to classical republican ideas.
Clement, formative
teacher in the early Christian church who, as a “Christian gnostic,” combined
enthusiasm for Grecian philosophy with a defense of the church’s faith. He
espoused spiritual and intellectual ascent toward that complete but hidden
knowledge or gnosis reserved for the truly enlightened. Clement’s school did not
practice strict fidelity to the authorities, and possibly the teachings, of the
institutional church, drawing upon the Hellenistic traditions of Alexandria,
including Philo and Middle Platonism. As with the law among the Jews, so, for
Clement, philosophy among the pagans was a pedagogical preparation for Christ,
in whom logos, reason, had become enfleshed. Philosophers now should rise above
their inferior understanding to the perfect knowledge revealed in Christ.
Though hostile to gnosticism and its speculations, Clement was thoroughly
Hellenized in outlook and sometimes guilty of Docetism, not least in his
reluctance to concede the utter humanness of Jesus.
Clifford, W. K., -- H. P.
Grice was attracted to Clifford’s idea of the ‘ethics of belief,’ -- philosopher.
Educated at King’s , London, and Trinity , Cambridge, he began giving public
lectures in 1868, when he was appointed a fellow of Trinity, and in 1870 became
professor of applied mathematics at ,
London. His academic career ended prematurely when he died of tuberculosis.
Clifford is best known for his rigorous view on the relation between belief and
evidence, which, in “The Ethics of Belief,” he summarized thus: “It is wrong
always, everywhere, and for anyone, to believe anything on insufficient evidence.”
He gives this example. Imagine a shipowner who sends to sea an emigrant ship,
although the evidence raises strong suspicions as to the vessel’s
seaworthiness. Ignoring this evidence, he convinces himself that the ship’s
condition is good enough and, after it sinks and all the passengers die,
collects his insurance money without a trace of guilt. Clifford maintains that
the owner had no right to believe in the soundness of the ship. “He had
acquired his belief not by honestly earning it in patient investigation, but by
stifling his doubts.” The right Clifford is alluding to is moral, for what one
believes is not a private but a public affair and may have grave consequences
for others. He regards us as morally obliged to investigate the evidence thoroughly
on any occasion, and to withhold belief if evidential support is lacking. This
obligation must be fulfilled however trivial and insignificant a belief may
seem, for a violation of it may “leave its stamp upon our character forever.”
Clifford thus rejected Catholicism, to which he had subscribed originally, and
became an agnostic. James’s famous essay “The Will to Believe” criticizes
Clifford’s view. According to James, insufficient evidence need not stand in
the way of religious belief, for we have a right to hold beliefs that go beyond
the evidence provided they serve the pursuit of a legitimate goal.
Griceian anti-sneak
closure. A set of objects, O, is said to exhibit closure or to be closed under
a given operation, R, provided that for every object, x, if x is a member of O
and x is R-related to any object, y, then y is a member of O. For example, the
set of propositions is closed under deduction, for if p is a proposition and p
entails q, i.e., q is deducible from p, then q is a proposition simply because
only propositions can be entailed by propositions. In addition, many subsets of
the set of propositions are also closed under deduction. For example, the set
of true propositions is closed under deduction or entailment. Others are not.
Under most accounts of belief, we may fail to believe what is entailed by what
we do, in fact, believe. Thus, if knowledge is some form of true, justified
belief, knowledge is not closed under deduction, for we may fail to believe a
proposition entailed by a known proposition. Nevertheless, there is a related
issue that has been the subject of much debate, namely: Is the set of justified
propositions closed under deduction? Aside from the obvious importance of the
answer to that question in developing an account of justification, there are
two important issues in epistemology that also depend on the answer. Subtleties
aside, the so-called Gettier problem depends in large part upon an affirmative
answer to that question. For, assuming that a proposition can be justified and
false, it is possible to construct cases in which a proposition, say p, is
justified, false, but believed. Now, consider a true proposition, q, which is
believed and entailed by p. If justification is closed under deduction, then q
is justified, true, and believed. But if the only basis for believing q is p,
it is clear that q is not known. Thus, true, justified belief is not sufficient
for knowledge. What response is appropriate to this problem has been a central
issue in epistemology since E. Gettier’s publication of “Is Justified True
Belief Knowledge?” Analysis, 3. Whether justification is closed under deduction
is also crucial when evaluating a common, traditional argument for skepticism.
Consider any person, S, and let p be any proposition ordinarily thought to be
knowable, e.g., that there is a table before S. The argument for skepticism
goes like this: 1 If p is justified for S, then, since p entails q, where q is
‘there is no evil genius making S falsely believe that p’, q is justified for
S. 2 S is not justified in believing q. Therefore, S is not justified in
believing p. The first premise depends upon justification being closed under
deduction.
Cockburn, Catherine
Trotter 16791749, English philosopher and playwright who made a significant contribution
to the debates on ethical rationalism sparked by Clarke’s Boyle lectures
170405. The major theme of her writings is the nature of moral obligation.
Cockburn displays a consistent, non-doctrinaire philosophical position, arguing
that moral duty is to be rationally deduced from the “nature and fitness of
things” Remarks, 1747 and is not founded primarily in externally imposed
sanctions. Her writings, published anonymously, take the form of philosophical
debates with others, including Samuel Rutherforth, William Warburton, Isaac
Watts, Francis Hutcheson, and Lord Shaftesbury. Her best-known intervention in
contemporary philosophical debate was her able defense of Locke’s Essay in
1702.
Cogito ergo sum – cited
by Grice in “Descartes on clear and distinct perception.” ‘I think, therefore I
am’, the starting point of Descartes’s system of knowledge. In his Discourse on
the Method 1637, he observes that the proposition ‘I am thinking, therefore I
exist’ je pense, donc je suis is “so firm and sure that the most extravagant
suppositions of the skeptics were incapable of shaking it.” The celebrated
phrase, in its better-known Latin version, also occurs in the Principles of
Philosophy 1644, but is not to be found in the Meditations 1641, though the
latter contains the fullest statement of the reasoning behind Descartes’s
certainty of his own existence.
Cognition -- cognitive
dissonance, mental discomfort arising from conflicting beliefs or attitudes
held simultaneously. Leon Festinger, who originated the theory of cognitive
dissonance in a book of that title 7, suggested that cognitive dissonance has
motivational characteristics. Suppose a person is contemplating moving to a new
city. She is considering both Birmingham and Boston. She cannot move to both, so
she must choose. Dissonance is experienced by the person if in choosing, say,
Birmingham, she acquires knowledge of bad or unwelcome features of Birmingham
and of good or welcome aspects of Boston. The amount of dissonance depends on
the relative intensities of dissonant elements. Hence, if the only dissonant
factor is her learning that Boston is cooler than Birmingham, and she does not
regard climate as important, she will experience little dissonance. Dissonance
may occur in several sorts of psychological states or processes, although the
bulk of research in cognitive dissonance theory has been on dissonance in
choice and on the justification and psychological aftereffects of choice.
Cognitive dissonance may be involved in two phenomena of interest to philosophers,
namely, self-deception and weakness of will. Why do self-deceivers try to get
themselves to believe something that, in some sense, they know to be false? One
may resort to self-deception when knowledge causes dissonance. Why do the
weak-willed perform actions they know to be wrong? One may become weak-willed
when dissonance arises from the expected consequences of doing the right thing.
-- cognitive psychotherapy, an expression introduced by Brandt in A Theory of
the Good and the Right to refer to a process of assessing and adjusting one’s
desires, aversions, or pleasures henceforth, “attitudes”. This process is
central to Brandt’s analysis of rationality, and ultimately, to his view on the
justification of morality. Cognitive psychotherapy consists of the agent’s
criticizing his attitudes by repeatedly representing to himself, in an ideally
vivid way and at appropriate times, all relevant available information. Brandt
characterizes the key definiens as follows: 1 available information is “propositions
accepted by the science of the agent’s day, plus factual propositions justified
by publicly accessible evidence including testimony of others about themselves
and the principles of logic”; 2 information is relevant provided, if the agent
were to reflect repeatedly on it, “it would make a difference,” i.e., would
affect the attitude in question, and the effect would be a function of its
content, not an accidental byproduct; 3 relevant information is represented in
an ideally vivid way when the agent focuses on it with maximal clarity and
detail and with no hesitation or doubt about its truth; and 4 repeatedly and at
appropriate times refer, respectively, to the frequency and occasions that
would result in the information’s having the maximal attitudinal impact.
Suppose Mary’s desire to smoke were extinguished by her bringing to the focus
of her attention, whenever she was about to inhale smoke, some justified
beliefs, say that smoking is hazardous to one’s health and may cause lung
cancer; Mary’s desire would have been removed by cognitive psychotherapy.
According to Brandt, an attitude is rational for a person provided it is one
that would survive, or be produced by, cognitive psychotherapy; otherwise it is
irrational. Rational attitudes, in this sense, provide a basis for moral norms.
Roughly, the correct moral norms are those of a moral code that persons would
opt for if i they were motivated by attitudes that survive the process of
cognitive psychotherapy; and ii at the time of opting for a moral code, they
were fully aware of, and vividly attentive to, all available information
relevant to choosing a moral code for a society in which they are to live for
the rest of their lives. In this way, Brandt seeks a value-free justification
for moral norms one that avoids the
problems of other theories such as those that make an appeal to
intuitions. -- cognitive science, an
interdisciplinary research cluster that seeks to account for intelligent
activity, whether exhibited by living organisms especially adult humans or
machines. Hence, cognitive psychology and artificial intelligence constitute
its core. A number of other disciplines, including neuroscience, linguistics,
anthropology, and philosophy, as well as other fields of psychology e.g.,
developmental psychology, are more peripheral contributors. The quintessential
cognitive scientist is someone who employs computer modeling techniques
developing computer programs for the purpose of simulating particular human
cognitive activities, but the broad range of disciplines that are at least
peripherally constitutive of cognitive science have lent a variety of research
strategies to the enterprise. While there are a few common institutions that
seek to unify cognitive science e.g., departments, journals, and societies, the
problems investigated and the methods of investigation often are limited to a
single contributing discipline. Thus, it is more appropriate to view cognitive
science as a cross-disciplinary enterprise than as itself a new discipline.
While interest in cognitive phenomena has historically played a central role in
the various disciplines contributing to cognitive science, the term properly
applies to cross-disciplinary activities that emerged in the 0s. During the
preceding two decades each of the disciplines that became part of cogntive
science gradually broke free of positivistic and behavioristic proscriptions
that barred systematic inquiry into the operation of the mind. One of the
primary factors that catalyzed new investigations of cognitive activities was
Chomsky’s generative grammar, which he advanced not only as an abstract theory
of the structure of language, but also as an account of language users’ mental
knowledge of language their linguistic competence. A more fundamental factor
was the development of approaches for theorizing about information in an
abstract manner, and the introduction of machines computers that could
manipulate information. This gave rise to the idea that one might program a
computer to process information so as to exhibit behavior that would, if
performed by a human, require intelligence. If one tried to formulate a
unifying question guiding cognitive science research, it would probably be: How
does the cognitive system work? But even this common question is interpreted quite
differently in different disciplines. We can appreciate these differences by
looking just at language. While psycholinguists generally psychologists seek to
identify the processing activities in the mind that underlie language use, most
linguists focus on the products of this internal processing, seeking to
articulate the abstract structure of language. A frequent goal of computer
scientists, in contrast, has been to develop computer programs to parse natural
language input and produce appropriate syntactic and semantic representations.
These differences in objectives among the cognitive science disciplines
correlate with different methodologies. The following represent some of the
major methodological approaches of the contributing disciplines and some of the
problems each encounters. Artificial intelligence. If the human cognition
system is viewed as computational, a natural goal is to simulate its
performance. This typically requires formats for representing information as
well as procedures for searching and manipulating it. Some of the earliest
AIprograms drew heavily on the resources of first-order predicate calculus,
representing information in propositional formats and manipulating it according
to logical principles. For many modeling endeavors, however, it proved
important to represent information in larger-scale structures, such as frames
Marvin Minsky, schemata David Rumelhart, or scripts Roger Schank, in which
different pieces of information associated with an object or activity would be
stored together. Such structures generally employed default values for specific
slots specifying, e.g., that deer live in forests that would be part of the
representation unless overridden by new information e.g., that a particular
deer lives in the San Diego Zoo. A very influential alternative approach,
developed by Allen Newell, replaces declarative representations of information
with procedural representations, known as productions. These productions take
the form of conditionals that specify actions to be performed e.g., copying an
expression into working memory if certain conditions are satisfied e.g., the
expression matches another expression. Psychology. While some psychologists
develop computer simulations, a more characteristic activity is to acquire detailed
data from human subjects that can reveal the cognitive system’s actual
operation. This is a challenging endeavor. While cognitive activities transpire
within us, they frequently do so in such a smooth and rapid fashion that we are
unaware of them. For example, we have little awareness of what occurs when we
recognize an object as a chair or remember the name of a client. Some cognitive
functions, though, seem to be transparent to consciousness. For example, we
might approach a logic problem systematically, enumerating possible solutions
and evaluating them serially. Allen Newell and Herbert Simon have refined
methods for exploiting verbal protocols obtained from subjects as they solve
such problems. These methods have been quite fruitful, but their limitations
must be respected. In many cases in which we think we know how we performed a
cognitive task, Richard Nisbett and Timothy Wilson have argued that we are
misled, relying on folk theories to describe how our minds work rather than
reporting directly on their operation. In most cases cognitive psychologists
cannot rely on conscious awareness of cognitive processes, but must proceed as
do physiologists trying to understand metabolism: they must devise experiments
that reveal the underlying processes operative in cognition. One approach is to
seek clues in the errors to which the cognitive system cognitive science
cognitive science is prone. Such errors might be more easily accounted for by
one kind of underlying process than by another. Speech errors, such as
substituting ‘bat cad’ for ‘bad cat’, may be diagnostic of the mechanisms used
to construct speech. This approach is often combined with strategies that seek
to overload or disrupt the system’s normal operation. A common technique is to
have a subject perform two tasks at once
e.g., read a passage while watching for a colored spot. Cognitive
psychologists may also rely on the ability to dissociate two phenomena e.g.,
obliterate one while maintaining the other to establish their independence.
Other types of data widely used to make inferences about the cognitive system
include patterns of reaction times, error rates, and priming effects in which
activation of one item facilitates access to related items. Finally,
developmental psychologists have brought a variety of kinds of data to bear on
cognitive science issues. For example, patterns of acquisition times have been
used in a manner similar to reaction time patterns, and accounts of the origin
and development of systems constrain and elucidate mature systems. Linguistics.
Since linguists focus on a product of cognition rather than the processes that
produce the product, they tend to test their analyses directly against our
shared knowledge of that product. Generative linguists in the tradition of Chomsky,
for instance, develop grammars that they test by probing whether they generate
the sentences of the language and no others. While grammars are certainly G.e
to developing processing models, they do not directly determine the structure
of processing models. Hence, the central task of linguistics is not central to
cognitive science. However, Chomsky has augmented his work on grammatical
description with a number of controversial claims that are psycholinguistic in
nature e.g., his nativism and his notion of linguistic competence. Further, an
alternative approach to incorporating psycholinguistic concerns, the cognitive
linguistics of Lakoff and Langacker, has achieved prominence as a contributor
to cognitive science. Neuroscience. Cognitive scientists have generally assumed
that the processes they study are carried out, in humans, by the brain. Until
recently, however, neuroscience has been relatively peripheral to cognitive
science. In part this is because neuroscientists have been chiefly concerned
with the implementation of processes, rather than the processes themselves, and
in part because the techniques available to neuroscientists such as single-cell
recording have been most suitable for studying the neural implementation of
lower-order processes such as sensation. A prominent exception was the
classical studies of brain lesions initiated by Broca and Wernicke, which
seemed to show that the location of lesions correlated with deficits in
production versus comprehension of speech. More recent data suggest that
lesions in Broca’s area impair certain kinds of syntactic processing. However,
other developments in neuroscience promise to make its data more relevant to
cognitive modeling in the future. These include studies of simple nervous
systems, such as that of the aplysia a genus of marine mollusk by Eric Kandel,
and the development of a variety of techniques for determining the brain
activities involved in the performance of cognitive tasks e.g., recording of
evoked response potentials over larger brain structures, and imaging techniques
such as positron emission tomography. While in the future neuroscience is
likely to offer much richer information that will guide the development and
constrain the character of cognitive models, neuroscience will probably not
become central to cognitive science. It is itself a rich, multidisciplinary
research cluster whose contributing disciplines employ a host of complicated
research tools. Moreover, the focus of cognitive science can be expected to
remain on cognition, not on its implementation. So far cognitive science has
been characterized in terms of its modes of inquiry. One can also focus on the
domains of cognitive phenomena that have been explored. Language represents one
such domain. Syntax was one of the first domains to attract wide attention in
cognitive science. For example, shortly after Chomsky introduced his
transformational grammar, psychologists such as George Miller sought evidence
that transformations figured directly in human language processing. From this
beginning, a more complex but enduring relationship among linguists,
psychologists, and computer scientists has formed a leading edge for much
cognitive science research. Psycholinguistics has matured; sophisticated
computer models of natural language processing have been developed; and
cognitive linguists have offered a particular synthesis that emphasizes
semantics, pragmatics, and cognitive foundations of language. Thinking and
reasoning. These constitute an important domain of cognitive science that is
closely linked to philosophical interests. Problem cognitive science cognitive
science solving, such as that which figures in solving puzzles, playing games,
or serving as an expert in a domain, has provided a prototype for thinking.
Newell and Simon’s influential work construed problem solving as a search
through a problem space and introduced the idea of heuristics generally reliable but fallible simplifying
devices to facilitate the search. One arena for problem solving, scientific
reasoning and discovery, has particularly interested philosophers. Artificial
intelligence researchers such as Simon and Patrick Langley, as well as
philosophers such as Paul Thagard and Lindley Darden, have developed computer
programs that can utilize the same data as that available to historical
scientists to develop and evaluate theories and plan future experiments.
Cognitive scientists have also sought to study the cognitive processes
underlying the sorts of logical reasoning both deductive and inductive whose
normative dimensions have been a concern of philosophers. Philip JohnsonLaird,
for example, has sought to account for human performance in dealing with
syllogistic reasoning by describing a processing of constructing and
manipulating mental models. Finally, the process of constructing and using
analogies is another aspect of reasoning that has been extensively studied by
traditional philosophers as well as cognitive scientists. Memory, attention,
and learning. Cognitive scientists have differentiated a variety of types of
memory. The distinction between long- and short-term memory was very
influential in the information-processing models of the 0s. Short-term memory
was characterized by limited capacity, such as that exhibited by the ability to
retain a seven-digit telephone number for a short period. In much cognitive
science work, the notion of working memory has superseded short-term memory,
but many theorists are reluctant to construe this as a separate memory system
as opposed to a part of long-term memory that is activated at a given time.
Endel Tulving introduced a distinction between semantic memory general
knowledge that is not specific to a time or place and episodic memory memory
for particular episodes or occurrences. More recently, Daniel Schacter proposed
a related distinction that emphasizes consciousness: implicit memory access
without awareness versus explicit memory which does involve awareness and is
similar to episodic memory. One of the interesting results of cognitive
research is the dissociation between different kinds of memory: a person might
have severely impaired memory of recent events while having largely unimpaired
implicit memory. More generally, memory research has shown that human memory
does not simply store away information as in a file cabinet. Rather,
information is organized according to preexisting structures such as scripts,
and can be influenced by events subsequent to the initial storage. Exactly what
gets stored and retrieved is partly determined by attention, and psychologists in
the information-processing tradition have sought to construct general cognitive
models that emphasize memory and attention. Finally, the topic of learning has
once again become prominent. Extensively studied by the behaviorists of the
precognitive era, learning was superseded by memory and attention as a research
focus in the 0s. In the 0s, artificial intelligence researchers developed a
growing interest in designing systems that can learn; machine learning is now a
major problem area in AI. During the same period, connectionism arose to offer
an alternative kind of learning model. Perception and motor control. Perceptual
and motor systems provide the inputs and outputs to cognitive systems. An
important aspect of perception is the recognition of something as a particular
kind of object or event; this requires accessing knowledge of objects and
events. One of the central issues concerning perception questions the extent to
which perceptual processes are influenced by higher-level cognitive information
top-down processing versus how much they are driven purely by incoming sensory
information bottom-up processing. A related issue concerns the claim that
visual imagery is a distinct cognitive process and is closely related to visual
perception, perhaps relying on the same brain processes. A number of cognitive
science inquiries e.g., by Roger Shepard and Stephen Kosslyn have focused on
how people use images in problem solving and have sought evidence that people
solve problems by rotating images or scanning them. This research has been
extremely controversial, as other investigators have argued against the use of
images and have tried to account for the performance data that have been
generated in terms of the use of propositionally represented information. Finally,
a distinction recently has been proposed between the What and Where systems.
All of the foregoing issues concern the What system which recognizes and
represents objects as exemplars of categories. The Where system, in contrast,
concerns objects in their environment, and is particularly adapted to the
dynamics of movement. Gibson’s ecological psychology is a long-standing inquiry
into this aspect of perception, and work on the neural substrates is now
attracting the interest of cognitive scientists as well. Recent developments.
The breadth of cognitive science has been expanding in recent years. In the 0s,
cognitive science inquiries tended to focus on processing activities of adult
humans or on computer models of intelligent performance; the best work often
combined these approaches. Subsequently, investigators examined in much greater
detail how cognitive systems develop, and developmental psychologists have
increasingly contributed to cognitive science. One of the surprising findings
has been that, contrary to the claims of William James, infants do not seem to
confront the world as a “blooming, buzzing confusion,” but rather recognize
objects and events quite early in life. Cognitive science has also expanded
along a different dimension. Until recently many cognitive studies focused on
what humans could accomplish in laboratory settings in which they performed
tasks isolated from reallife contexts. The motivation for this was the
assumption that cognitive processes were generic and not limited to specific
contexts. However, a variety of influences, including Gibsonian ecological
psychology especially as interpreted and developed by Ulric Neisser and Soviet
activity theory, have advanced the view that cognition is much more dynamic and
situated in real-world tasks and environmental contexts; hence, it is necessary
to study cognitive activities in an ecologically valid manner. Another form of
expansion has resulted from a challenge to what has been the dominant
architecture for modeling cognition. An architecture defines the basic
processing capacities of the cognitive system. The dominant cognitive
architecture has assumed that the mind possesses a capacity for storing and
manipulating symbols. These symbols can be composed into larger structures
according to syntactic rules that can then be operated upon by formal rules
that recognize that structure. Jerry Fodor has referred to this view of the
cognitive system as the “language of thought hypothesis” and clearly construes
it as a modern heir of rationalism. One of the basic arguments for it, due to
Fodor and Zenon Pylyshyn, is that thoughts, like language, exhibit productivity
the unlimited capacity to generate new thoughts and systematicity exhibited by
the inherent relation between thoughts such as ‘Joan loves the florist’ and
‘The florist loves Joan’. They argue that only if the architecture of cognition
has languagelike compositional structure would productivity and systematicity
be generic properties and hence not require special case-by-case accounts. The
challenge to this architecture has arisen with the development of an
alternative architecture, known as connectionism, parallel distributed
processing, or neural network modeling, which proposes that the cognitive
system consists of vast numbers of neuronlike units that excite or inhibit each
other. Knowledge is stored in these systems by the adjustment of connection
strengths between processing units; consequently, connectionism is a modern
descendant of associationism. Connectionist networks provide a natural account
of certain cognitive phenomena that have proven challenging for the symbolic
architecture, including pattern recognition, reasoning with soft constraints,
and learning. Whether they also can account for productivity and systematicity
has been the subject of debate. Philosophical theorizing about the mind has
often provided a starting point for the modeling and empirical investigations
of modern cognitive science. The ascent of cognitive science has not meant that
philosophers have ceased to play a role in examining cognition. Indeed, a
number of philosophers have pursued their inquiries as contributors to
cognitive science, focusing on such issues as the possible reduction of
cognitive theories to those of neuroscience, the status of folk psychology
relative to emerging scientific theories of mind, the merits of rationalism
versus empiricism, and strategies for accounting for the intentionality of
mental states. The interaction between philosophers and other cognitive
scientists, however, is bidirectional, and a number of developments in
cognitive science promise to challenge or modify traditional philosophical
views of cognition. For example, studies by cognitive and social psychologists
have challenged the assumption that human thinking tends to accord with the
norms of logic and decision theory. On a variety of tasks humans seem to follow
procedures heuristics that violate normative canons, raising questions about
how philosophers should characterize rationality. Another area of empirical study
that has challenged philosophical assumptions has been the study of concepts
and categorization. Philosophers since Plato have widely assumed that concepts
of ordinary language, such as red, bird, and justice, should be definable by
necessary and sufficient conditions. But celebrated studies by Eleanor Rosch
and her colleagues indicated that many ordinary-language concepts had a
prototype structure instead. On this view, the categories employed in human
thinking are characterized by prototypes the clearest exemplars and a metric
that grades exemplars according to their degree of typicality. Recent
investigations have also pointed to significant instability in conceptual
structure and to the role of theoretical beliefs in organizing categories. This
alternative conception of concepts has profound implications for philosophical
methodologies that portray philosophy’s task to be the analysis of
concepts.
Neo-Kantian. Cohen,
Hermann – Grice liked to think of himself as a neo-Kantian (“rather than a
palaeo-Kantian, you see”) -- philosopher
who originated and led, with Paul Natorp, the Marburg School of neo-Kantianism.
He taught at Marburg. Cohen wrote commentaries on Kant’s Critiques prior to
publishing System der Philosophie 212, which consisted of parts on logic,
ethics, and aesthetics. He developed a Kantian idealism of the natural
sciences, arguing that a transcendental analysis of these sciences shows that
“pure thought” his system of Kantian a priori principles “constructs” their
“reality.” He also developed Kant’s ethics as a democratic socialist ethics. He
ended his career at a rabbinical seminary in Berlin, writing his influential
Religion der Vernunft aus den Quellen des Judentums “Religion of Reason out of
the Sources of Judaism,” 9, which explicated Judaism on the basis of his own
Kantian ethical idealism. Cohen’s ethical-political views were adopted by Kurt
Eisner 18679, leader of the Munich revolution of 8, and also had an impact on
the revisionism of orthodox Marxism of the G. Social Democratic Party, while
his philosophical writings greatly influenced Cassirer.
Coherence – since H. P.
Grice was a correspondentist, he hated Bradley. -- theory of truth, the view that either the
nature of truth or the sole criterion for determining truth is constituted by a
relation of coherence between the belief or judgment being assessed and other
beliefs or judgments. As a view of the nature of truth, the coherence theory
represents an alternative to the correspondence theory of truth. Whereas the
correspondence theory holds that a belief is true provided it corresponds to
independent reality, the coherence theory holds that it is true provided it
stands in a suitably strong relation of coherence to other beliefs, so that the
believer’s total system of beliefs forms a highly or perhaps perfectly coherent
system. Since, on such a characterization, truth depends entirely on the
internal relations within the system of beliefs, such a conception of truth
seems to lead at once to idealism as regards the nature of reality, and its
main advocates have been proponents of absolute idealism mainly Bradley,
Bosanquet, and Brand Blanshard. A less explicitly metaphysical version of the
coherence theory was also held by certain members of the school of logical
positivism mainly Otto Neurath and Carl Hempel. The nature of the intended
relation of coherence, often characterized metaphorically in terms of the
beliefs in question fitting together or dovetailing with each other, has been
and continues to be a matter of uncertainty and controversy. Despite occasional
misconceptions to the contrary, it is clear that coherence is intended to be a
substantially more demanding relation than mere consistency, involving such
things as inferential and explanatory relations within the system of beliefs.
Perfect or ideal coherence is sometimes described as requiring that every
belief in the system of beliefs entails all the others though it must be
remembered that those offering such a characterization do not restrict
entailments to those that are formal or analytic in character. Since actual
human systems of belief seem inevitably to fall short of perfect coherence,
however that is understood, their truth is usually held to be only approximate
at best, thus leading to the absolute idealist view that truth admits of
degrees. As a view of the criterion of truth, the coherence theory of truth
holds that the sole criterion or standard for determining whether a belief is
true is its coherence with other beliefs or judgments, with the degree of justification
varying with the degree of coherence. Such a view amounts to a coherence theory
of epistemic justification. It was held by most of the proponents of the
coherence theory of the nature of truth, though usually without distinguishing
the two views very clearly. For philosophers who hold both of these views, the
thesis that coherence is the sole criterion of truth is usually logically
prior, and the coherence theory of the nature of truth is adopted as a
consequence, the clearest argument being that only the view that perfect or
ideal coherence is the nature of truth can make sense of the appeal to degrees
of coherence as a criterion of truth. --
coherentism, in epistemology, a theory of the structure of knowledge or
justified beliefs according to which all beliefs representing knowledge are
known or justified in virtue of their relations to other beliefs, specifically,
in virtue of belonging to a coherent system of beliefs. Assuming that the
orthodox account of knowledge is correct at least in maintaining that justified
true belief is necessary for knowledge, we can identify two kinds of coherence
theories of knowledge: those that are coherentist merely in virtue of
incorporating a coherence theory of justification, and those that are doubly
coherentist because they account for both justification and truth in terms of
coherence. What follows will focus on coherence theories of justification.
Historically, coherentism is the most significant alternative to
foundationalism. The latter holds that some beliefs, basic or foundational
beliefs, are justified apart from their relations to other beliefs, while all
other beliefs derive their justification from that of foundational beliefs.
Foundationalism portrays justification as having a structure like that of a building,
with certain beliefs serving as the foundations and all other beliefs supported
by them. Coherentism rejects this image and pictures justification as having
the structure of a raft. Justified beliefs, like the planks that make up a
raft, mutually support one another. This picture of the coherence theory is due
to the positivist Otto Neurath. Among the positivists, Hempel shared Neurath’s
sympathy for coherentism. Other defenders of coherentism from the late
nineteenth and early twentieth centuries were idealists, e.g., Bradley,
Bosanquet, and Brand Blanshard. Idealists often held the sort of double
coherence theory mentioned above. The contrast between foundationalism and
coherentism is commonly developed in terms of the regress argument. If we are asked
what justifies one of our beliefs, we characteristically answer by citing some
other belief that supports it, e.g., logically or probabilistically. If we are
asked about this second belief, we are likely to cite a third belief, and so
on. There are three shapes such an evidential chain might have: it could go on
forever, if could eventually end in some belief, or it could loop back upon
itself, i.e., eventually contain again a belief that had occurred “higher up”
on the chain. Assuming that infinite chains are not really possible, we are
left with a choice between chains that end and circular chains. According to
foundationalists, evidential chains must eventually end with a foundational
belief that is justified, if the belief at the beginning of the chain is to be
justified. Coherentists are then portrayed as holding that circular chains can
yield justified beliefs. This portrayal is, in a way, correct. But it is also
misleading since it suggests that the disagreement between coherentism and
foundationalism is best understood as concerning only the structure of
evidential chains. Talk of evidential chains in which beliefs that are further
down on the chain are responsible for beliefs that are higher up naturally
suggests the idea that just as real chains transfer forces, evidential chains
transfer justification. Foundationalism then sounds like a real possibility.
Foundational beliefs already have justification, and evidential chains serve to
pass the justification along to other beliefs. But coherentism seems to be a
nonstarter, for if no belief in the chain is justified to begin with, there is
nothing to pass along. Altering the metaphor, we might say that coherentism
seems about as likely to succeed as a bucket brigade that does not end at a
well, but simply moves around in a circle. The coherentist seeks to dispel this
appearance by pointing out that the primary function of evidential chains is
not to transfer epistemic status, such as justification, from belief to belief.
Indeed, beliefs are not the primary locus of justification. Rather, it is whole
systems of belief that are justified or not in the primary sense; individual
beliefs are justified in virtue of their membership in an appropriately
structured system of beliefs. Accordingly, what the coherentist claims is that
the appropriate sorts of evidential chains, which will be circular indeed, will likely contain numerous
circles constitute justified systems of
belief. The individual beliefs within such a system are themselves justified in
virtue of their place in the entire system and not because this status is
passed on to them from beliefs further down some evidential chain in which they
figure. One can, therefore, view coherentism with considerable accuracy as a
version of foundationalism that holds all beliefs to be foundational. From this
perspective, the difference between coherentism and traditional foundationalism
has to do with what accounts for the epistemic status of foundational beliefs,
with traditional foundationalism holding that such beliefs can be justified in
various ways, e.g., by perception or reason, while coherentism insists that the
only way such beliefs can be justified is by being a member of an appropriately
structured system of beliefs. One outstanding problem the coherentist faces is
to specify exactly what constitutes a coherent system of beliefs. Coherence
clearly must involve much more than mere absence of mutually contradictory
beliefs. One way in which beliefs can be logically consistent is by concerning
completely unrelated matters, but such a consistent system of beliefs would not
embody the sort of mutual support that constitutes the core idea of
coherentism. Moreover, one might question whether logical consistency is even
necessary for coherence, e.g., on the basis of the preface paradox. Similar
points can be made regarding efforts to begin an account of coherence with the
idea that beliefs and degrees of belief must correspond to the probability
calculus. So although it is difficult to avoid thinking that such formal
features as logical and probabilistic consistency are significantly involved in
coherence, it is not clear exactly how they are involved. An account of
coherence can be drawn more directly from the following intuitive idea: a
coherent system of belief is one in which each belief is epistemically
supported by the others, where various types of epistemic support are
recognized, e.g., deductive or inductive arguments, or inferences to the best
explanation. There are, however, at least two problems this suggestion does not
address. First, since very small sets of beliefs can be mutually supporting,
the coherentist needs to say something about the scope a system of beliefs must
have to exhibit the sort of coherence required for justification. Second, given
the possibility of small sets of mutually supportive beliefs, it is apparently
possible to build a system of very broad scope out of such small sets of
mutually supportive beliefs by mere conjunction, i.e., without forging any
significant support relations among them. Yet, since the interrelatedness of
all truths does not seem discoverable by analyzing the concept of
justification, the coherentist cannot rule out epistemically isolated
subsystems of belief entirely. So the coherentist must say what sorts of isolated
subsystems of belief are compatible with coherence. The difficulties involved
in specifying a more precise concept of coherence should not be pressed too
vigorously against the coherentist. For one thing, most foundationalists have
been forced to grant coherence a significant role within their accounts of
justification, so no dialectical advantage can be gained by pressing them.
Moreover, only a little reflection is needed to see that nearly all the
difficulties involved in specifying coherence are manifestations within a
specific context of quite general philosophical problems concerning such
matters as induction, explanation, theory choice, the nature of epistemic
support, etc. They are, then, problems that are faced by logicians,
philosophers of science, and epistemologists quite generally, regardless of
whether they are sympathetic to coherentism. Coherentism faces a number of
serious objections. Since according to coherentism justification is determined
solely by the relations among beliefs, it does not seem to be capable of taking
us outside the circle of our beliefs. This fact gives rise to complaints that
coherentism cannot allow for any input from external reality, e.g., via
perception, and that it can neither guarantee nor even claim that it is likely
that coherent systems of belief will make contact with such reality or contain
true beliefs. And while it is widely granted that justified false beliefs are
possible, it is just as widely accepted that there is an important connection
between justification and truth, a connection that rules out accounts according
to which justification is not truth-conducive. These abstractly formulated
complaints can be made more vivid, in the case of the former, by imagining a
person with a coherent system of beliefs that becomes frozen, and fails to
change in the face of ongoing sensory experience; and in the case of the
latter, by pointing out that, barring an unexpected account of coherence, it
seems that a wide variety of coherent systems of belief are possible, systems
that are largely disjoint or even incompatible.
Collier, A.: Grice found
the Clavis Universalis quite fun (“to read”). -- English philosopher, a
Wiltshire parish priest whose Clavis Universalis 1713 defends a version of
immaterialism closely akin to Berkeley’s. Matter, Collier contends, “exists in,
or in dependence on mind.” He emphatically affirms the existence of bodies,
and, like Berkeley, defends immaterialCoimbra commentaries Collier, Arthur
155 155 ism as the only alternative to
skepticism. Collier grants that bodies seem to be external, but their
“quasi-externeity” is only the effect of God’s will. In Part I of the Clavis
Collier argues as Berkeley had in his New Theory of Vision, 1709 that the
visible world is not external. In Part II he argues as Berkeley had in the
Principles, 1710, and Three Dialogues, 1713 that the external world “is a being
utterly impossible.” Two of Collier’s arguments for the “intrinsic repugnancy”
of the external world resemble Kant’s first and second antinomies. Collier
argues, e.g., that the material world is both finite and infinite; the
contradiction can be avoided, he suggests, only by denying its external
existence. Some scholars suspect that Collier deliberately concealed his debt
to Berkeley; most accept his report that he arrived at his views ten years
before he published them. Collier first refers to Berkeley in letters written
in 171415. In A Specimen of True Philosophy 1730, where he offers an
immaterialist interpretation of the opening verse of Genesis, Collier writes
that “except a single passage or two” in Berkeley’s Dialogues, there is no
other book “which I ever heard of” on the same subject as the Clavis. This is a
puzzling remark on several counts, one being that in the Preface to the Dialogues,
Berkeley describes his earlier books. Collier’s biographer reports seeing among
his papers now lost an outline, dated 1708, on “the question of the visible
world being without us or not,” but he says no more about it. The biographer
concludes that Collier’s independence cannot reasonably be doubted; perhaps the
outline would, if unearthed, establish this.
Collingwood, R. G.—cited
by H. P. Grice in “Metaphysics,” in D. F. Pears, “The nature of metaphysics.” –
Like Grice, Collingwood was influenced by J. C. Wilson’s subordinate
interrogation. English philosopher and historian. His father, W. G.
Collingwood, John Ruskin’s friend, secretary, and biographer, at first educated
him at home in Coniston and later sent him to Rugby School and then Oxford.
Immediately upon graduating in 2, he was elected to a fellowship at Pembroke ;
except for service with admiralty intelligence during World War I, he remained
at Oxford until 1, when illness compelled him to retire. Although his
Autobiography expresses strong disapproval of the lines on which, during his
lifetime, philosophy at Oxford developed, he was a varsity “insider.” He was
elected to the Waynflete Professorship, the first to become vacant after he had
done enough work to be a serious candidate. He was also a leading archaeologist
of Roman Britain. Although as a student Collingwood was deeply influenced by
the “realist” teaching of John Cook Wilson, he studied not only the British
idealists, but also Hegel and the contemporary
post-Hegelians. At twenty-three, he published a translation of Croce’s
book on Vico’s philosophy. Religion and Philosophy 6, the first of his attempts
to present orthodox Christianity as philosophically acceptable, has both
idealist and Cook Wilsonian elements. Thereafter the Cook Wilsonian element
steadily diminished. In Speculum Mentis4, he investigated the nature and
ultimate unity of the four special ‘forms of experience’ art, religion, natural science, and history and their relation to a fifth comprehensive
form philosophy. While all four, he
contended, are necessary to a full human life now, each is a form of error that
is corrected by its less erroneous successor. Philosophy is error-free but has
no content of its own: “The truth is not some perfect system of philosophy: it
is simply the way in which all systems, however perfect, collapse into
nothingness on the discovery that they are only systems.” Some critics
dismissed this enterprise as idealist a description Collingwood accepted when
he wrote, but even those who favored it were disturbed by the apparent
skepticism of its result. A year later, he amplified his views about art in
Outlines of a Philosophy of Art. Since much of what Collingwood went on to
write about philosophy has never been published, and some of it has been negligently
destroyed, his thought after Speculum Mentis is hard to trace. It will not be
definitively established until the more than 3,000 s of his surviving
unpublished manuscripts deposited in the Bodleian Library in 8 have been
thoroughly studied. They were not available to the scholars who published
studies of his philosophy as a whole up to 0. Three trends in how his
philosophy developed, however, are discernible. The first is that as he
continued to investigate the four special forms of experience, he came to
consider each valid in its own right, and not a form of error. As early as 8,
he abandoned the conception of the historical past in Speculum Mentis as simply
a spectacle, alien to the historian’s mind; he now proposed a theory of it as
thoughts explaining past actions that, although occurring in the past, can be
rethought in the present. Not only can the identical thought “enacted” at a
definite time in the past be “reenacted” any number of times after, but it can
be known to be so reenacted if colligation physical evidence survives that can
be shown to be incompatible with other proposed reenactments. In 334 he wrote a
series of lectures posthumously published as The Idea of Nature in which he
renounced his skepticism about whether the quantitative material world can be
known, and inquired why the three constructive periods he recognized in
European scientific thought, the Grecian, the Renaissance, and the modern,
could each advance our knowledge of it as they did. Finally, in 7, returning to
the philosophy of art and taking full account of Croce’s later work, he showed
that imagination expresses emotion and becomes false when it counterfeits
emotion that is not felt; thus he transformed his earlier theory of art as
purely imaginative. His later theories of art and of history remain alive; and
his theory of nature, although corrected by research since his death, was an
advance when published. The second trend was that his conception of philosophy
changed as his treatment of the special forms of experience became less
skeptical. In his beautifully written Essay on Philosophical Method 3, he
argued that philosophy has an object the
ens realissimum as the one, the true, and the good of which the objects of the special forms of
experience are appearances; but that implies what he had ceased to believe,
that the special forms of experience are forms of error. In his Principles of
Art 8 and New Leviathan 2 he denounced the idealist principle of Speculum
Mentis that to abstract is to falsify. Then, in his Essay on Metaphysics 0, he
denied that metaphysics is the science of being qua being, and identified it
with the investigation of the “absolute presuppositions” of the special forms
of experience at definite historical periods. A third trend, which came to dominate
his thought as World War II approached, was to see serious philosophy as
practical, and so as having political implications. He had been, like Ruskin, a
radical Tory, opposed less to liberal or even some socialist measures than to
the bourgeois ethos from which they sprang. Recognizing European fascism as the
barbarism it was, and detesting anti-Semitism, he advocated an antifascist
foreign policy and intervention in the
civil war in support of the republic. His last major publication, The
New Leviathan, impressively defends what he called civilization against what he
called barbarism; and although it was neglected by political theorists after
the war was won, the collapse of Communism and the rise of Islamic states are
winning it new readers.
Grice’s combinatory
logic, a branch of logic that deals with formal systems designed for the study
of certain basic operations for constructing and manipulating functions as
rules, i.e. as rules of calculation expressed by definitions. The notion of a
function was fundamental in the development of modern formal or mathematical
logic that was initiated by Frege, Peano, Russell, Hilbert, and others. Frege
was the first to introduce a generalization of the mathematical notion of a
function to include propositional functions, and he used the general notion for
formally representing logical notions such as those of a concept, object,
relation, generality, and judgment. Frege’s proposal to replace the traditional
logical notions of subject and predicate by argument and function, and thus to
conceive predication as functional application, marks a turning point in the
history of formal logic. In most modern logical systems, the notation used to
express functions, including propositional functions, is essentially that used
in ordinary mathematics. As in ordinary mathematics, certain basic notions are
taken for granted, such as the use of variables to indicate processes of
substitution. Like the original systems for modern formal logic, the systems of
combinatory logic were designed to give a foundation for mathematics. But
combinatory logic arose as an effort to carry the foundational aims further and
deeper. It undertook an analysis of notions taken for granted in the original
systems, in particular of the notions of substitution and of the use of
variables. In this respect combinatory logic was conceived by one of its
founders, H. B. Curry, to be concerned with the ultimate foundations and with
notions that constitute a “prelogic.” It was hoped that an analysis of this prelogic
would disclose the true source of the difficulties connected with the logical
paradoxes. The operation of applying a function to one of its arguments, called
application, is a primitive operation in all systems of combinatory logic. If f
is a function and x a possible argument, then the result of the application
operation is denoted fx. In mathematics this is usually written fx, but the
notation fx is more convenient in combinatory logic. The G. logician M.
Schönfinkel, who started combinatory logic in 4, observed that it is not
necessary to introduce color realism combinatory logic functions of more than
one variable, provided that the idea of a function is enlarged so that
functions can be arguments as well as values of other functions. A function Fx,y
is represented with the function f, which when applied to the argument x has,
as a value, the function fx, which, when applied to y, yields Fx,y, i.e. fxy %
Fx,y. It is therefore convenient to omit parentheses with association to the
left so that fx1 . . . xn is used for .
. . fx1 . . . xn. Schönfinkel’s main result was to show how to make the class
of functions studied closed under explicit definition by introducing two
specific primitive functions, the combinators S and K, with the rules Kxy % x,
and Sxyz % xzyz. To illustrate the effect of S in ordinary mathematical
notation, let f and g be functions of two and one arguments, respectively; then
Sfg is the function such that Sfgx % fx,gx. Generally, if ax1, . . . ,xn is an
expression built up from constants and the variables shown by means of the
application operation, then there is a function F constructed out of constants
including the combinators S and K, such that Fx1 . . . xn % ax1, . . . , xn.
This is essentially the meaning of the combinatory completeness of the theory
of combinators in the terminology of H. B. Curry and R. Feys, Combinatory Logic
8; and H. B. Curry, J. R. Hindley, and J. P. Seldin, Combinatory Logic, vol. II
2. The system of combinatory logic with S and K as the only primitive functions
is the simplest equation calculus that is essentially undecidable. It is a
type-free theory that allows the formation of the term ff, i.e.
self-application, which has given rise to problems of interpretation. There are
also type theories based on combinatory logic. The systems obtained by
extending the theory of combinators with functions representing more familiar
logical notions such as negation, implication, and generality, or by adding a
device for expressing inclusion in logical categories, are studied in illative
combinatory logic. The theory of combinators exists in another, equivalent
form, namely as the type-free l-calculus created by Church in 2. Like the
theory of combinators, it was designed as a formalism for representing
functions as rules of calculation, and it was originally part of a more general
system of functions intended as a foundation for mathematics. The l-calculus
has application as a primitive operation, but instead of building up new
functions from some primitive ones by application, new functions are here
obtained by functional abstraction. If ax is an expression built up by means of
application from constants and the variable x, then ax is considered to define
a function denoted lx.a x, whose value for the argument b is ab, i.e. lx.a xb %
ab. The function lx.ax is obtained from ax by functional abstraction. The
property of combinatory completeness or closure under explicit definition is
postulated in the form of functional abstraction. The combinators can be
defined using functional abstraction i.e., K % lx.ly.x and S % lx.ly.lz.xzyz,
and conversely, in the theory of combinators, functional abstraction can be
defined. A detailed presentation of the l-calculus is found in H. Barendregt,
The Lambda Calculus, Its Syntax and Semantics 1. It is possible to represent
the series of natural numbers by a sequence of closed terms in the lcalculus.
Certain expressions in the l-calculus will then represent functions on the
natural numbers, and these l-definable functions are exactly the general
recursive functions or the Turing computable functions. The equivalence of
l-definability and general recursiveness was one of the arguments used by
Church for what is known as Church’s thesis, i.e., the identification of the
effectively computable functions and the recursive functions. The first problem
about recursive undecidability was expressed by Church as a problem about
expressions in the l calculus. The l-calculus thus played a historically
important role in the original development of recursion theory. Due to the
emphasis in combinatory logic on the computational aspect of functions, it is
natural that its method has been found useful in proof theory and in the
development of systems of constructive mathematics. For the same reason it has
found several applications in computer science in the construction and analysis
of programming languages. The techniques of combinatory logic have also been
applied in theoretical linguistics, e.g. in so-called Montague grammar. In
recent decades combinatory logic, like other domains of mathematical logic, has
developed into a specialized branch of mathematics, in which the original
philosophical and foundational aims and motives are of little and often no
importance. One reason for this is the discovery of the new technical
applications, which were not intended originally, and which have turned the
interest toward several new mathematical problems. Thus, the original motives
are often felt to be less urgent and only of historical significance. Another
reason for the decline of the original philosophical and foundational aims may
be a growing awareness in the philosophy of mathematics of the limitations of
formal and mathematical methods as tools for conceptual combinatory logic
combinatory logic clarification, as tools for reaching “ultimate foundations.”
commitment: Grice’s commitment to the 39
Articles. An utterer is committed to those and
only those entities to which the bound variables of his utterance must be
capable of referring in order that the utterance made be true.” Cf. Grice on
substitutional quantification for his feeling Byzantine, and ‘gap’ sign in the
analysis.
common-ground status assignment: While
Grice was invited to a symposium on ‘mutual knowledge,’ he never was for
‘regressive accounts’ of ‘know,’ perhaps because he had to be different, and
the idea of the mutual or common knowledge was the obvious way to deal with his
account of communication. He rejects it and opts for an anti-sneak clause. In
the common-ground he uses the phrase, “What the eye no longer sees, the heart
no longer grieves for.” What does he mean? He means that in the case of some
recognizable divergence between the function of a communication device in a
rational calculus and in the vernacular, one may have to assign ‘common ground
status’ to certain features, e. g. [The king of France is] bald. By using the
square brackets, or subscripts, in “Vacuous names and descriptions,” the
material within their scope is ‘immune’ to refutation. It has some sort of
conversational ‘inertia.’ So the divergence, for which Grice’s heart grieved,
is no more to be seen by Grice’s eye. Strwson and Wiggins view that this is
only tentative for Grice. the regulations for common-ground assignment have to
do with general rational constraints on conversation. Grice is clear in
“Causal,” and as Strawson lets us know, he was already clear in “Introduction”
when talking of a ‘pragmatic rule.’ Strawson states the rule in terms of making
your conversational contribution the logically strongest possible. If we abide by an
imperative of conversational helpfulness, enjoining the maximally giving and
receiving of information and the influencing and being influenced by others in
the institution of a decisions, the sub-imperative follows to the effect, ‘Thou
shalt NOT make a weak move compared to the stronger one that thou canst
truthfully make, and with equal or greater economy of means.’“Causal” provides a more difficult version, because it
deals with non-extensional contexts where ‘strong’ need not be interpreted as
‘logical strength’ in terms of entailment. Common ground status assignment
springs from the principle of conversational helpfulness or conversational
benevolence. What would be the benevolent point of ‘informing’ your addressee
what you KNOW your addressee already knows? It is not even CONCEPTUALLY
possible. You are not ‘informing’ him if you are aware that he knows it. So,
what Strawson later calls the principle of presumption of ignorance and the
principle of the presumption of knowledge are relevant. There is a balance
between the two. If Strawson asks Grice, “Is the king of France bald?” Grice is
entitled to assume that Strawson thinks two things Grice will perceive as
having been assigned a ‘common-ground’ status as uncontroversial topic not worth
conversing about. First, Strawson thinks that there is one king. (∃x)Fx. Second, Strawson thinks that there is at most one
king. (x)(y)((Fx.Fy)⊃ x=y).
That the king is bald is NOT assigned common-ground status, because Grice
cannot expect that Strawson thinks that Grice KNOWS that. Grice symbolises the
common-ground status by means of subscripts. He also uses square-bracekts, so
that anything within the scope of the square brackets is immune to controversy,
or as Grice also puts it, conversationally _inert_: things we don’t talk about.
communication device: Grice always has ‘or
communication devices’ at the tip of his tongue. “Language or communication
devices” (WoW: 284). A device is produced. A device can be misunderstood.
communicatum: With the linguistic turn, as Grice notes, it was all
about ‘language.’ But at Oxford they took a cavalier attitude to language, that
Grice felt like slightly rectifying, while keeping it cavalier as we like it at
Oxford. The colloquialism of ‘mean’ does not translate well in the Graeco-Roman
tradition Grice was educated via his Lit. Hum. (Philos.) and at Clifton.
‘Communicate’ might do. On top, Grice does use ‘communicate’ on various
occasions in WoW. By psi-transmission,
something that belonged in the emissor becomes ‘common property,’ ‘communion’
has been achived. Now the recipient KNOWS that it is raining (shares the belief
with the emissor) and IS GOING to bring that umbrella (has formed a desire). “Communication”
is cognate with ‘communion,’ while conversation is cognate with ‘sex’! When
Grice hightlights the ‘common ground’ in ‘communication’ he is being slightly
rhetorical, so it is good when he weakens the claim from ‘common ground’ to
‘non-trivial.’ A: I’m going to the concert. My uncle’s brother went to that
concert. The emissor cannot presume that his addressee KNEW that he had an
unlce let alone that his uncle had a brother (the emissor’s father). But any
expansion would trigger the wrong implicatum. One who likes ‘communication’ is
refined Strawson (I’m using refined as J. Barnes does it, “turn Plato into
refined Strawson”). Both in his rat-infested example and at the inaugural
lecture at Oxford. Grice, for one, has given us reason to think that, with
sufficient care, and far greater refinement than I have indicated, it is
possible to expound such a concept of communication-intention or, as he calls
it, utterer's meaning, which is proof against objection. it is a commonplace that Grice belongs, as
most philosophers of the twentieth century, to the movement of the linguistic
turn. Short and Lewis have “commūnĭcare,” earlier “conmunicare,” f. communis,
and thus sharing the prefix with “conversare.” Now “communis” is an interesting
lexeme that Grice uses quite centrally in his idea of the ‘common ground’ –
when a feature of discourse is deemed to have been assigned ‘common-ground
status.’ “Communis” features the “cum-” prefix, commūnis (comoinis); f. “con” and
root “mu-,” to bind; Sanscr. mav-; cf.: immunis, munus, moenia. The
‘communicatum’ (as used by Tammelo in
social philosophy) may well cover what Grice would call the total
‘significatio,’ or ‘significatum.’ Grice takes this seriously. Let us start
then by examining what we mean by ‘linguistic,’ or ‘communication.’ It is
curious that while most Griceians overuse ‘communicative’ as applied to
‘intention,’ Grice does not. Communicator’s intention, at most. This is the
Peirce in Grice’s soul. Meaning provides an excellent springboard for Grice to
centre his analysis on psychological or soul-y verbs as involving the agent and
the first person: smoke only figuratively means fire, and the expression smoke
only figuratively (or metabolically) means that there is fire. It is this or
that utterer (say, Grice) who means, say, by uttering Where theres smoke theres
fire, or ubi fumus, ibi ignis, that where theres smoke theres fire. A
means something by uttering x, an utterance-token is roughly equivalent to
utterer U intends the utterance of x to produce some effect in his addressee A
by means of the recognition of this intention; and we may add that to ask what
U means is to ask for a specification of the intended effect - though, of
course, it may not always be possible to get a straight answer involving a
that-clause, for example, a belief that
He does provide a more specific example involving the that-clause at a
later stage. By uttering x, U means that-ψb-dp ≡ (Ǝφ)(Ǝf)(Ǝc) U
utters x intending x to be such that anyone who
has φ think that x has f, f is correlated in way c
with ψ-ing that p, and (Ǝφ') U intends x to be such
that anyone who has φ' think, via thinking that x has
f and that f is correlated in way c with ψ-ing that p, that U ψ-s that
p, and in view of (Ǝφ') U intending x to be such
that anyone who has φ' think, via thinking that x has
f, and f is correlated in way c with ψ-ing that p, that U ψ-s that
p, U ψ-s that p, and, for some
substituends of ψb-d, U utters x
intending that, should there actually be anyone who
has φ, he will, via thinking in view of (Ǝφ') U
intending x to be such that anyone who has φ' think, via
thinking that x has f, and f is correlated in way c
with ψ-ing that p, that U ψ-s that p, U ψ-s that
p himself ψ that p, and it is not
the case that, for some inference element E, U intends x to be such
that anyone who has φ both rely on E in coming to ψ, or think that U ψ-s, that p and think that (Ǝφ) U intends x to be
such that anyone who has φ come to ψ (or think that U ψ-s) that
p without relying on E. Besides St. John The Baptist, and Salome, Grice
cites few Namess in Meaning. But he makes a point about Stevenson! For
Stevenson, smoke means fire. Meaning develops out of an interest by Grice on
the philosophy of Peirce. In his essays on Peirce, Grice quotes from many other
authors, including, besides Peirce himself (!), Ogden, Richards, and Ewing, or
A. C. Virtue is not a fire-shovel Ewing, as Grice calls him, and this or that
cricketer. In the characteristic Oxonian fashion of a Lit. Hum., Grice has no
intention to submit Meaning to publication. Publishing is vulgar. Bennett,
however, guesses that Grice decides to publish it just a year after his Defence
of a dogma. Bennett’s argument is that Defence of a dogma pre-supposes some
notion of meaning. However, a different story may be told, not necessarily
contradicting Bennetts. It is Strawson who submits the essay by Grice to The
Philosophical Review (henceforth, PR) Strawson attends Grices talk on Meaning
for The Oxford Philosophical Society, and likes it. Since In defence of a dogma
was co-written with Strawson, the intention Bennett ascribes to Grice is
Strawsons. Oddly, Strawson later provides a famous alleged counter-example to
Grice on meaning in Intention and convention in speech acts, following J. O.
Urmson’s earlier attack to the sufficiency of Grices analysans -- which has
Grice dedicating a full James lecture (No. 5) to it. there is Strawsons
rat-infested house for which it is insufficient. An interesting fact,
that confused a few, is that Hart quotes from Grices Meaning in his critical
review of Holloway for The Philosophical Quarterly. Hart quotes Grice
pre-dating the publication of Meaning. Harts point is that Holloway should have
gone to Oxford! In Meaning, Grice may be seen as a practitioner of
ordinary-language philosophy: witness his explorations of the factivity (alla
know, remember, or see) or lack thereof of various uses of to mean. The second
part of the essay, for which he became philosophically especially popular,
takes up an intention-based approach to semantic notions. The only authority
Grice cites, in typical Oxonian fashion, is, via Ogden and Barnes, Stevenson,
who, from The New World (and via Yale, too!) defends an emotivist theory of ethics,
and making a few remarks on how to mean is used, with scare quotes, in
something like a causal account (Smoke means fire.). After its publication
Grices account received almost as many alleged counterexamples as
rule-utilitarianism (Harrison), but mostly outside Oxford, and in The New
World. New-World philosophers seem to have seen Grices attempt as reductionist
and as oversimplifying. At Oxford, the sort of counterexample Grice received,
before Strawson, was of the Urmson-type: refined, and subtle. I think your
account leaves bribery behind. On the other hand, in the New World ‒ in what
Grice calls the Latter-Day School of Nominalism, Quine is having troubles with
empiricism. Meaning was repr. in various collections, notably in Philosophical
Logic, ed. by Strawson. It should be remembered that it is Strawson who has the
thing typed and submitted for publication. Why Meaning should be repr. in a
collection on Philosophical Logic only Strawson knows. But Grice does say that
his account may help clarify the meaning of entails! It may be Strawsons
implicature that Parkinson should have repr. (and not merely credited) Meaning
by Grice in his series for Oxford on The theory of meaning. The preferred
quotation for Griceians is of course The Oxford Philosophical Society quote, seeing
that Grice recalled the exact year when he gave the talk for the Philosophical
Society at Oxford! It is however, the publication in The Philosophi, rather
than the quieter evening at the Oxford Philosophical Society, that occasioned a
tirade of alleged counter-examples by New-World philosophers. Granted, one or
two Oxonians ‒ Urmson and Strawson ‒ fell in! Urmson criticises the sufficiency
of Grices account, by introducing an alleged counter-example involving bribery.
Grice will consider a way out of Urmsons alleged counter-example in his fifth
Wiliam James Lecture, rightly crediting and thanking Urmson for this! Strawsons
alleged counter-example was perhaps slightly more serious, if regressive. It
also involves the sufficiency of Grices analysis. Strawsons rat-infested house
alleged counter-example started a chain which required Grice to avoid,
ultimately, any sneaky intention by way of a recursive clause to the effect
that, for utterer U to have meant that p, all meaning-constitutive intentions
should be above board. But why this obsession by Grice with mean? He is being
funny. Spots surely dont mean, only mean.They dont have a mind. Yet Grice opens
with a specific sample. Those spots mean, to the doctor, that you, dear, have
measles. Mean? Yes, dear, mean, doctors orders. Those spots mean measles. But
how does the doctor know? Cannot he be in the wrong? Not really, mean is
factive, dear! Or so Peirce thought. Grice is amazed that Peirce thought that
some meaning is factive. The hole in this piece of cloth means that a bullet
went through is is one of Peirce’s examples. Surely, as Grice notes, this is an
unhappy example. The hole in the cloth may well have caused by something else,
or fabricated. (Or the postmark means that the letter went through the post.)
Yet, Grice was having Oxonian tutees aware that Peirce was krypto-technical.
Grice chose for one of his pre-Meaning seminars on Peirce’s general theory of
signs, with emphasis on general, and the correspondence of Peirce and Welby.
Peirce, rather than the Vienna circle, becomes, in vein with Grices dissenting
irreverent rationalism, important as a source for Grices attempt to English
Peirce. Grices implicature seems to be that Peirce, rather than Ayer, cared for
the subtleties of meaning and sign, never mind a verificationist theory about
them! Peirce ultra-Latinate-cum-Greek taxonomies have Grice very nervous,
though. He knew that his students were proficient in the classics, but still. Grice
thus proposes to reduce all of Peirceian divisions and sub-divisions (one
sub-division too many) to mean. In the proceedings, he quotes from Ogden,
Richards, and Ewing. In particular, Grice was fascinated by the correspondence of
Peirce with Lady Viola Welby, as repr. by Ogden/Richards in, well, their study
on the meaning of meaning. Grice thought the science of symbolism pretentious,
but then he almost thought Lady Viola Welby slightly pretentious, too, if youve
seen her; beautiful lady. It is via Peirce that Grice explores examples such as
those spots meaning measles. Peirce’s obsession is with weathercocks almost as
Ockham was with circles on wine-barrels. Old-World Grices use of New-World
Peirce is illustrative, thus, of the Oxonian linguistic turn focused on
ordinary language. While Peirce’s background was not philosophical, Grice
thought it comical enough. He would say that Peirce is an amateur, but then he
said the same thing about Mill, whom Grice had to study by heart to get his B.
A. Lit. Hum.! Plus, as Watson commented, what is wrong with amateur? Give me an
amateur philosopher ANY day, if I have to choose from professional Hegel! In
finding Peirce krypo-technical, Grice is ensuing that his tutees, and indeed
any Oxonian philosophy student (he was university lecturer) be aware that to
mean should be more of a priority than this or that jargon by this or that (New
World?) philosopher!? Partly! Grice wanted his students to think on their own,
and draw their own conclusions! Grice cites Ewing, Ogden/Richards, and many
others. Ewing, while Oxford-educated, had ended up at Cambridge (Scruton almost
had him as his tutor) and written some points on Meaninglessness! Those spots
mean measles. Grice finds Peirce krypto-technical and proposes to English him
into an ordinary-language philosopher. Surely it is not important whether we
consider a measles spot a sign, a symbol, or an icon. One might just as well
find a doctor in London who thinks those spots symbolic. If Grice feels like
Englishing Peirce, he does not altogether fail! meaning, reprints, of
Meaning and other essays, a collection of reprints and offprints of Grices
essays. Meaning becomes a central topic of at least two strands in
Retrospective epilogue. The first strand concerns the idea of the centrality of
the utterer. What Grice there calls meaning BY (versus meaning TO), i.e. as he
also puts it, active or agents meaning. Surely he is right in defending an
agent-based account to meaning. Peirce need not, but Grice must, because he is
working with an English root, mean, that is only figurative applicable to non-agentive
items (Smoke means rain). On top, Grice wants to conclude that only a rational
creature (a person) can meanNN properly. Non-human animals may have a
correlate. This is a truly important point for Grice since he surely is seen as
promoting a NON-convention-based approach to meaning, and also defending from
the charge of circularity in the non-semantic account of propositional
attitudes. His final picture is a rationalist one. P1 G wants
to communicate about a danger to P2. This presupposes there IS a
danger (item of reality). Then P1 G believes there is a danger,
and communicates to P2 G2 that there is a danger. This simple
view of conversation as rational co-operation underlies Grices account of
meaning too, now seen as an offshoot of philosophical psychology, and indeed
biology, as he puts it. Meaning as yet another survival mechanism. While he
would never use a cognate like significance in his Oxford Philosophical Society
talk, Grice eventually starts to use such Latinate cognates at a later stage of
his development. In Meaning, Grice does not explain his goal. By sticking with
a root that the Oxford curriculum did not necessarily recognised as
philosophical (amateur Peirce did!), Grice is implicating that he is starting
an ordinary-language botanising on his own repertoire! Grice was amused by the
reliance by Ewing on very Oxonian examples contra Ayer: Surely Virtue aint a
fire-shovel is perfectly meaningful, and if fact true, if, Ill admit, somewhat
misleading and practically purposeless at Cambridge. Again, the dismissal by
Grice of natural meaning is due to the fact that natural meaning prohibits its
use in the first person and followed by a that-clause. ‘I mean-n that p’ sounds
absurd, no communication-function seems in the offing, there is no ‘sign for,’
as Woozley would have it. Grice found, with Suppes, all types of primacy
(ontological, axiological, psychological) in utterers meaning. In Retrospective
epilogue, he goes back to the topic, as he reminisces that it is his
suggestion that there are two allegedly distinguishable meaning concepts, even
if one is meta-bolical, which may be called natural meaning and non-natural
meaning. There is this or that test (notably factivity-entailment vs.
cancelation, but also scare quotes) which may be brought to bear to distinguish
one concept from the other. We may, for example, inquire whether a particular
occurrence of the predicate mean is factive or non-factive, i. e., whether for
it to be true that [so and so] means that p, it does or does not have to be the
case that it is true that p. Again, one may ask whether the use of quotation
marks to enclose the specification of what is meant would be inappropriate or
appropriate. If factivity, as in know, remember, and see, is present and
quotation marks, oratio recta, are be inappropriate, we have a case of natural
meaning. Otherwise the meaning involved is non-natural meaning. We may now ask
whether there is a single overarching idea which lies behind both members of
this dichotomy of uses to which the predicate meaning that seems to be
Subjects. If there is such a central idea it might help to indicate to us which
of the two concepts is in greater need of further analysis and elucidation and
in what direction such elucidation should proceed. Grice confesses that he has
only fairly recently come to believe that there is such an overarching idea and
that it is indeed of some service in the proposed inquiry. The idea behind both
uses of mean is that of consequence, or consequentia, as Hobbes has it. If x
means that p, something which includes p or the idea of p, is a consequence of
x. In the metabolic natural use of meaning that p, p, this or that consequence,
is this or that state of affairs. In the literal, non-metabolic, basic,
non-natural use of meaning that p, (as in Smith means that his neighbour’s
three-year child is an adult), p, this or that consequence is this or that
conception or complexus which involves some other conception. This perhaps
suggests that of the two concepts it is, as it should, non-natural meaning
which is more in need of further elucidation. It seems to be the more
specialised of the pair, and it also seems to be the less determinate. We may,
e. g., ask how this or that conception enters the picture. Or we may ask
whether what enters the picture is the conception itself or its justifiability.
On these counts Grice should look favorably on the idea that, if further
analysis should be required for one of the pair, the notion of non-natural
meaning would be first in line. There are factors which support the suitability
of further analysis for the concept of non-natural meaning. MeaningNN that
p (non-natural meaning) does not look as if it Namess an original feature of
items in the world, for two reasons which are possibly not mutually independent.
One reason is that, given suitable background conditions, meaning, can be
changed by fiat. The second reason is that the presence of meaningNN is
dependent on a framework provided by communication, if that is not too
circular. Communication is in the philosophical lexicon. Lewis and
Short have “commūnĭcātĭo,” f. communicare,"(several times in Cicero,
elsewhere rare), and as they did with negatio and they will with significatio,
Short and Lewis render, unhelpfully, as a making common, imparting, communicating. largitio
et communicatio civitatis;” “quaedam societas et communicatio utilitatum,” “consilii
communicatio, “communicatio sermonis,” criminis cum pluribus; “communicatio
nominum, i. e. the like appellation of several objects; “juris; “damni; In rhetorics,
communicatio, trading on the communis, a figure, translating Grecian
ἀνακοίνωσις, in accordance with which the utterer turns to his addressee, and,
as it were, allows him to take part in the inquiry. It seems to Grice, then, at
least reasonable and possibly even emphatically mandatory, to treat the claim
that a communication vehicle, such as this and that expression means that p, in
this transferred, metaphoric, or meta-bolic use of means that as being
reductively analysable in terms of this or that feature of this or that
utterer, communicator, or user of this or that expression. The use of
meaning that as applied to this or that expression is posterior to and
explicable through the utterer-oriented, or utterer-relativised use, i.e.
involving a reference to this or that communicator or user of this or that
expression. More specifically, one should license a metaphorical use of mean,
where one allows the claim that this or that expression means that p, provided
that this or that utterer, in this or that standard fashion, means that p, i.e.
in terms of this or that souly statee toward this or that propositional
complexus this or that utterer ntends, in a standardly fashion, to produce by
his uttering this or that utterance. That this or that expression means (in
this metaphorical use) that p is thus explicable either in terms of this
or that souly state which is standardly intended to produce in this or that
addressee A by this or that utterer of this or that expression, or in this or
that souly staken up by this or that utterer toward this or that activity or
action of this or that utterer of this or that expression. Meaning was in
the air in Oxfords linguistic turn. Everybody was talking meaning. Grice
manages to quote from Hares early “Mind” essay on the difference between
imperatives and indicatives, also Duncan-Jones on the fugitive
proposition, and of course his beloved Strawson. Grice was also concerned
by the fact that in the manoeuvre of the typical ordinary-language philosopher,
there is a constant abuse of mean. Surely Grice wants to stick with the
utterers meaning as the primary use. Expressions mean only derivatively. To do
that, he chose Peirce to see if he could clarify it with meaning that. Grice
knew that the polemic was even stronger in London, with Ogden and Lady Viola
Welby. In the more academic Oxford milieu, Grice knew that a proper examination
of meaning, would lead him, via Kneale and his researches on the history of
semantics, to the topic of signification that obsessed the modistae (and their
modus significandi). For what does L and S say about about this? This is
Grice’s reply to popular Ogden. They want to know what the meaning of meaning
is? Here is the Oxononian response by Grice, with a vengeance. Grice is not an
animist nor a mentalist, even modest. While he allows for natural
phenomena to mean (smoke means fire), meaning is best ascribed to some utterer,
where this meaning is nothing but the intentions behind his
utterance. This is the fifth James lecture. Grice was careful enough to
submit it to PR, since it is a strictly philosophical development of the views
expressed in Meaning which Strawson had submitted on Grice’s behalf to the same
Review and which had had a series of responses by various philosophers. Among
these philosophers is Strawson himself in Intention and convention in the the
theory of speech acts, also in PR. Grice quotes from very many other
philosophers in this essay, including: Urmson, Stampe,
Strawson, Schiffer, and Searle. Strawson is especially relevant since
he started a series of alleged counter-examples with his infamous example of
the rat-infested house. Grice particularly treasured Stampes alleged
counter-example involving his beloved bridge! Avramides earns a D. Phil Oxon.
on that, under Strawson! This is Grices occasion to address some of the
criticisms ‒ in the form of alleged counter-examples, typically, as his
later reflections on epagoge versus diagoge note ‒ by Urmson,
Strawson, and other philosophers associated with Oxford, such as Searle, Stampe,
and Schiffer. The final analysandum is pretty complex (of the type that he did
find his analysis of I am hearing a sound complex in Personal
identity ‒ hardly an obstacle for adopting it), it became yet
another target of attack by especially New-World philosophers in the pages of
Mind, Nous, and other journals, This is officially the fifth James lecture.
Grice takes up the analysis of meaning he had presented way back at the Oxford
Philosophical Society. Motivated mainly by the attack by Urmson and by Strawson
in Intention and convention in speech acts, that offered an alleged
counter-example to the sufficiency of Grices analysis, Grice ends up
introducing so many intention that he almost trembled. He ends up seeing
meaning as a value-paradeigmatic concept, perhaps never realisable in a
sublunary way. But it is the analysis in this particular essay where he is at
his formal best. He distinguishes between protreptic and exhibitive utterances,
and also modes of correlation (iconic, conventional). He symbolises the utterer
and the addressee, and generalises over the type of psychological state,
attitude, or stance, meaning seems to range (notably indicative vs.
imperative). He formalises the reflexive intention, and more importantly, the
overtness of communication in terms of a self-referential recursive intention
that disallows any sneaky intention to be brought into the picture of
meaning-constitutive intentions. Grice thought he had dealt with Logic and
conversation enough! So he feels of revising his Meaning. After all, Strawson
had had the cheek to publish Meaning by Grice and then go on to criticize it in
Intention and convention in speech acts. So this is Grices revenge, and he
wins! He ends with the most elaborate theory of mean that an Oxonian could ever
hope for. And to provoke the informalists such as Strawson (and his disciples
at Oxford – led by Strawson) he pours existential quantifiers like the plague!
He manages to quote from Urmson, whom he loved! No word on Peirce, though, who
had originated all this! His implicature: Im not going to be reprimanted in
informal discussion about my misreading Peirce at Harvard! The concluding note
is about artificial substitutes for iconic representation, and meaning as a
human institution. Very grand. This is Grices metabolical projection of
utterers meaning to apply to anything OTHER than utterers meaning, notably a
token of the utterers expression and a TYPE of the utterers expression, wholly
or in part. Its not like he WANTS to do it, he NEEDS it to give an account of
implicatum. The phrase utterer is meant to provoke. Grice thinks that speaker
is too narrow. Surely you can mean by just uttering stuff! This is the
sixth James lecture, as published in “Foundations of Language” (henceforth,
“FL”), or “The foundations of language,” as he preferred. As it happens, it
became a popular lecture, seeing that Searle selected this from the whole set
for his Oxford reading in philosophy on the philosophy of language. It is also
the essay cited by Chomsky in his influential Locke lectures. Chomsky
takes Grice to be a behaviourist, even along Skinners lines, which provoked a
reply by Suppes, repr. in PGRICE. In The New World, the H. P. is often given in
a more simplified form. Grice wants to keep on playing. In Meaning, he had said
x means that p is surely reducible to utterer U means that p. In this lecture,
he lectures us as to how to proceed. In so doing he invents this or that
procedure: some basic, some resultant. When Chomsky reads the reprint in
Searles Philosophy of Language, he cries: Behaviourist! Skinnerian! It was
Suppes who comes to Grices defence. Surely the way Grice uses expressions like
resultant procedure are never meant in the strict behaviourist way. Suppes
concludes that it is much fairer to characterise Grice as an intentionalist.
Published in FL, ed. by Staal, Repr.in Searle, The Philosophy of Language,
Oxford, the sixth James Lecture, FL, resultant procedure, basic
procedure. Staal asked Grice to publish the sixth James lecture for a
newish periodical publication of whose editorial board he was a member. The fun
thing is Grice complied! This is Grices shaggy-dog story. He does not seem too
concerned about resultant procedures. As he will ll later say, surely I can
create Deutero-Esperanto and become its master! For Grice, the primacy is the
idiosyncratic, particularized utterer in this or that occasion. He knows a
philosopher craves for generality, so he provokes the generality-searcher with
divisions and sub-divisions of mean. But his heart does not seem to be there,
and he is just being overformalistic and technical for the sake of it. I am
glad that Putnam, of all people, told me in an aside, you are being too formal,
Grice. I stopped with symbolism since! Communication. This is Grice’s clearest
anti-animist attack by Grice. He had joins Hume in mocking causing and willing:
The decapitation of Charles I as willing Charles Is death. Language semantics
alla Tarski. Grice know sees his former self. If he was obsessed, after Ayer,
with mean, he now wants to see if his explanation of it (then based on his
pre-theoretic intuition) is theoretically advisable in terms other than dealing
with those pre-theoretical facts, i.e. how he deals with a lexeme like mean.
This is a bit like Grice: implicatum, revisited. An axiological approach to
meaning. Strictly a reprint of Grice, which should be the preferred citation.
The date is given by Grice himself, and he knew! Grice also composed some notes
on Remnants on meaning, by Schiffer. This is a bit like Grices meaning re-revisited.
Schiffer had been Strawsons tutee at Oxford as a Rhode Scholar in the
completion of his D. Phil. on Meaning, Clarendon. Eventually, Schiffer
grew sceptic, and let Grice know about it! Grice did not find Schiffers
arguments totally destructive, but saw the positive side to them. Schiffers
arguments should remind any philosopher that the issues he is dealing are
profound and bound to involve much elucidation before they are solved. This is
a bit like Grice: implicatum, revisited. Meaning revisited (an ovious nod to
Evelyn Waughs Yorkshire-set novel) is the title Grice chose for a contribution
to a symposium at Brighton organised by Smith. Meaning revisited (although
Grice has earlier drafts entitled Meaning and philosophical psychology)
comprises three sections. In the first section, Grice is concerned with the application
of his modified Occam’s razor now to the very lexeme, mean. Cf. How many senses
does sense have? Cohen: The Senses of Senses. In the second part, Grice
explores an evolutionary model of creature construction reaching a stage of
non-iconic representation. Finally, in the third section, motivated to solve
what he calls a major problem ‒ versus the minor problem concerning the
transition from the meaning by the utterer to the meaning by the
expression. Grice attempts to construct meaning as a value-paradeigmatic
notion. A version was indeed published in the proceedings of the Brighton symposium,
by Croom Helm, London. Grice has a couple of other drafts with variants on this
title: philosophical psychology and meaning, psychology and meaning. He keeps,
meaningfully, changing the order. It is not arbitrary that the fascinating
exploration by Grice is in three parts. In the first, where he applies his
Modified Occams razor to mean, he is revisiting Stevenson. Smoke means fire and
I mean love, dont need different senses of mean. Stevenson is right when using
scare quotes for smoke ‘meaning’ fire utterance. Grice is very much aware that
that, the rather obtuse terminology of senses, was exactly the terminology he
had adopted in both Meaning and the relevant James lectures (V and VI) at
Harvard! Now, its time to revisit and to echo Graves, say, goodbye to all that!
In the second part he applies Pology. While he knows his audience is not
philosophical ‒ it is not Oxford ‒ he thinks they still may get some
entertainment! We have a P feeling pain, simulating it, and finally uttering, I
am in pain. In the concluding section, Grice becomes Plato. He sees meaning as
an optimum, i.e. a value-paradeigmatic notion introducing value in its guise of
optimality. Much like Plato thought circle works in his idiolect. Grice played
with various titles, in the Grice Collection. Theres philosophical psychology
and meaning. The reason is obvious. The lecture is strictly divided in
sections, and it is only natural that Grice kept drafts of this or that section
in his collection. In WOW Grice notes that he re-visited his Meaning re-visited
at a later stage, too! And he meant it! Surely, there is no way to understand
the stages of Grice’s development of his ideas about meaning without Peirce! It
is obvious here that Grice thought that mean two figurative or metabolical
extensions of use. Smoke means fire and Smoke means smoke. The latter is a
transferred use in that impenetrability means lets change the topic if
Humpty-Dumpty m-intends that it and Alice are to change the topic. Why did
Grice feel the need to add a retrospective epilogue? He loved to say that what
the “way of words” contains is neither his first, nor his last word. So trust
him to have some intermediate words to drop. He is at his most casual in the
very last section of the epilogue. The first section is more of a very
systematic justification for any mistake the reader may identify in the offer.
The words in the epilogue are thus very guarded and qualificatory. Just one
example about our focus: conversational implicate and conversation as rational
co-operation. He goes back to Essay 2, but as he notes, this was hardly the
first word on the principle of conversational helpfulness, nor indeed the first
occasion where he actually used implicature. As regards co-operation, the
retrospective epilogue allows him to expand on a causal phrasing in Essay 2,
“purposive, indeed rational.” Seeing in retrospect how the idea of rationality
was the one that appealed philosophers most – since it provides a rationale and
justification for what is otherwise an arbitrary semantic proliferation. Grice
then distinguishes between the thesis that conversation is purposive, and the
thesis that conversation is rational. And, whats more, and in excellent
Griceian phrasing, there are two theses here, too. One thing is to see
conversation as rational, and another, to use his very phrasing, as rational
co-operation! Therefore, when one discusses the secondary literature, one
should be attentive to whether the author is referring to Grices qualifications
in the Retrospective epilogue. Grice is careful to date some items. However,
since he kept rewriting, one has to be careful. These seven folder contain the
material for the compilation. Grice takes the opportunity of the compilation by
Harvard of his WOW, representative of the mid-60s, i. e. past the heyday of
ordinary-language philosophy, to review the idea of philosophical progress in
terms of eight different strands which display, however, a consistent and
distinctive unity. Grice keeps playing with valediction, valedictory,
prospective and retrospective, and the different drafts are all kept in The
Grice Papers. The Retrospective epilogue, is divided into two sections. In the
first section, he provides input for his eight strands, which cover not just
meaning, and the assertion-implication distinction to which he alludes to in
the preface, but for more substantial philosophical issues like the philosophy
of perception, and the defense of common sense realism versus the sceptial
idealist. The concluding section tackles more directly a second theme he had
idenfitied in the preface, which is a methodological one, and his long-standing
defence of ordinary-language philosophy. The section involves a fine
distinction between the Athenian dialectic and the Oxonian dialectic, and tells
the tale about his fairy godmother, G*. As he notes, Grice had dropped a few
words in the preface explaining the ordering of essays in the compilation. He
mentions that he hesitated to follow a suggestion by Bennett that the ordering
of the essays be thematic and chronological. Rather, Grice chooses to
publish the whole set of seven James lectures, what he calls the centerpiece,
as part I. II, the explorations in semantics and metaphysics, is organised more
or less thematically, though. In the Retrospective epilogue, Grice takes up
this observation in the preface that two ideas or themes underlie his Studies:
that of meaning, and assertion vs. implication, and philosophical methodology.
The Retrospective epilogue is thus an exploration on eight strands he
identifies in his own philosophy. Grices choice of strand is careful. For
Grice, philosophy, like virtue, is entire. All the strands belong to the same
knit, and therefore display some latitudinal, and, he hopes, longitudinal
unity, the latter made evidence by his drawing on the Athenian dialectic as a
foreshadow of the Oxonian dialectic to come, in the heyday of the Oxford school
of analysis, when an interest in the serious study of ordinary language had
never been since and will never be seen again. By these two types of unity,
Grice means the obvious fact that all branches of philosophy (philosophy of
language, or semantics, philosophy of perception, philosophical psychology,
metaphysics, axiology, etc.) interact and overlap, and that a historical regard
for ones philosophical predecessors is a must, especially at Oxford. Why is
Grice obsessed with asserting? He is more interested, technically, in the
phrastic, or dictor. Grice sees a unity, indeed, equi-vocality, in the
buletic-doxastic continuum. Asserting is usually associated with the doxastic.
Since Grice is always ready to generalise his points to cover the buletic
(recall his Meaning, “theres by now no reason to stick to informative cases,”),
it is best to re-define his asserting in terms of the phrastic. This is enough
of a strong point. As Hare would agree, for emotivists like Barnes, say, an
utterance of buletic force may not have any content whatsoever. For Grice,
there is always a content, the proposition which becomes true when the action
is done and the desire is fulfilled or satisfied. Grice quotes from Bennett.
Importantly, Grice focuses on the assertion/non-assertion distinction. He
overlooks the fact that for this or that of his beloved imperative utterance,
asserting is out of the question, but explicitly conveying that p is not.
He needs a dummy to stand for a psychological or souly state, stance, or
attitude of either boule or doxa, to cover the field of the utterer
mode-neutrally conveying explicitly that his addressee A is to entertain that
p. The explicatum or explicitum sometimes does the trick, but sometimes it does
not. It is interesting to review the Names index to the volume, as well as the
Subjects index. This is a huge collection, comprising 14 folders. By contract,
Grice was engaged with Harvard, since it is the President of the College that
holds the copyrights for the James lectures. The title Grice eventually chooses
for his compilation of essays, which goes far beyond the James, although
keeping them as the centerpiece, is a tribute to Locke, who, although obsessed
with his idealist and empiricist new way of ideas, leaves room for both the
laymans and scientists realist way of things, and, more to the point, for this
or that philosophical semiotician to offer this or that study in the way of
words. Early in the linguistic turn minor revolution, the expression the new
way of words, had been used derogatorily. WOW is organised in two parts: Logic
and conversation and the somewhat pretentiously titled Explorations in
semantics and metaphysics, which offers commentary around the centerpiece. It
also includes a Preface and a very rich and inspired Retrospective epilogue.
From part I, the James lectures, only three had not been previously published.
The first unpublished lecture is Prolegomena, which really sets the scene, and
makes one wonder what the few philosophers who quote from The logic of grammar
could have made from the second James lecture taken in isolation. Grice
explores Aristotle’s “to alethes”: “For the true and the false exist with respect
to synthesis and division (peri gar synthesin kai diaireisin esti to pseudos
kai to alethes).” Aristotle insists upon the com-positional form of truth in
several texts: cf. De anima, 430b3 ff.: “in truth and falsity, there is a
certain composition (en hois de kai to pseudos kai to alethes, synthesis tis)”;
cf. also Met. 1027b19 ff.: the true and the false are with respect to (peri)
composition and decomposition (synthesis kai diaresis).” It also shows that
Grices style is meant for public delivery, rather than reading. The second
unpublished lecture is Indicative conditionals. This had been used by a few
philosophers, such as Gazdar, noting that there were many mistakes in the
typescript, for which Grice is not to be blamed. The third is on some models
for implicature. Since this Grice acknowledges is revised, a comparison with
the original handwritten version of the final James lecture retrieves a few
differences From Part II, a few essays had not been published before, but
Grice, nodding to the longitudinal unity of philosophy, is very careful and
proud to date them. Commentary on the individual essays is made under the
appropriate dates. Philosophical correspondence is quite a genre. Hare would
express in a letter to the Librarian for the Oxford Union, “Wiggins does not
want to be understood,” or in a letter to Bennett that Williams is the worse
offender of Kantianism! It was different with Grice. He did not type. And he
wrote only very occasionally! These are four folders with general
correspondence, mainly of the academic kind. At Oxford, Grice would hardly keep
a correspondence, but it was different with the New World, where academia turns
towards the bureaucracy. Grice is not precisely a good, or reliable, as The BA
puts it, correspondent. In the Oxford manner, Grice prefers a face-to-face
interaction, any day. He treasures his Saturday mornings under Austins
guidance, and he himself leads the Play Group after Austins demise, which, as
Owen reminisced, attained a kind of cult status. Oxford is different. As a
tutorial fellow in philosophy, Grice was meant to tutor his students; as a
University Lecturer he was supposed to lecture sometimes other fellowss tutees!
Nothing about this reads: publish or perish! This is just one f. containing
Grices own favourite Griceian references. To the historian of analytic
philosophy, it is of particular interest. It shows which philosophers Grice
respected the most, and which ones the least. As one might expect, even on the
cold shores of Oxford, as one of Grices tutees put it, Grice is cited by
various Oxford philosophers. Perhaps the first to cite Grice in print is his
tutee Strawson, in “Logical Theory.” Early on, Hart quotes Grice on meaning in
his review in The Philosophical Quarterly of Holloways Language and
Intelligence before Meaning had been published. Obviously, once Grice and
Strawson, In defense of a dogma and Grice, Meaning are published by The
Philosophical Review, Grice is discussed profusely. References to the
implicatum start to appear in the literature at Oxford in the mid-1960s, within
the playgroup, as in Hare and Pears. It is particularly intriguing to explore
those philosophers Grice picks up for dialogue, too, and perhaps arrange them
alphabetically, from Austin to Warnock, say. And Griceian philosophical
references, Oxonian or other, as they should, keep counting! The way to search
the Grice Papers here is using alternate keywords, notably “meaning.” “Meaning”
s. II, “Utterer’s meaning and intentions,” s. II, “Utterer’s meaning,
sentence-meaning, and word meaning,” s. II, “Meaning revisited,” s. II. – but
also “Meaning and psychology,” s. V, c.7-ff.
24-25. While Grice uses “signification,” and lectured on Peirce’s
“signs,” “Peirce’s general theory of signs,” (s. V, c. 8-f. 29), he would avoid
such pretentiously sounding expressions. Searching under ‘semantic’ and
‘semantics’ (“Grammar and semantics,” c. 7-f. 5; “Language semantics,” c.
7-f.20, “Basic Pirotese, sentence semantics and syntax,” c. 8-f. 30, “Semantics
of children’s language,” c. 9-f. 10, “Sentence semantics” (c. 9-f. 11);
“Sentence semantics and propositional complexes,” c. 9-f.12, “Syntax and
semantics,” c. 9-ff. 17-18) may help, too. Folder on Schiffer (“Schiffer,” c.
9-f. 9), too.
Grice on the compactness
theorem, a theorem for first-order logic: if every finite subset of a given
infinite theory T is consistent, then the whole theory is consistent. The
result is an immediate consequence of the completeness theorem, for if the
theory were not consistent, a contradiction, say ‘P and not-P’, would be
provable from it. But the proof, being a finitary object, would use only finitely
many axioms from T, so this finite subset of T would be inconsistent. This
proof of the compactness theorem is very general, showing that any language
that has a sound and complete system of inference, where each rule allows only
finitely many premises, satisfies the theorem. This is important because the
theorem immediately implies that many familiar mathematical notions are not
expressible in the language in question, notions like those of a finite set or
a well-ordering relation. The compactness theorem is important for other
reasons as well. It is the most frequently applied result in the study of
first-order model theory and has inspired interesting developments within set
theory and its foundations by generating a search for infinitary languages that
obey some analog of the theorem.
Grice’s complementary
class, the class of all things not in a given class. For example, if C is the
class of all red things, then its complementary class is the class containing
everything that is not red. This latter class includes even non-colored things,
like numbers and the class C itself. Often, the context will determine a less
inclusive complementary class. If B 0 A, then the complement of B with respect
to A is A B. For example, if A is the
class of physical objects, and B is the class of red physical objects, then the
complement of B with respect to A is the class of non-red physical
objects.
Grice on completeness, a
property that something typically, a set
of axioms, a logic, a theory, a set of well-formed formulas, a language, or a
set of connectives has when it is strong
enough in some desirable respect. 1 A set of axioms is complete for the logic L
if every theorem of L is provable using those axioms. 2 A logic L has weak
semantical completeness if every valid sentence of the language of L is a
theorem of L. L has strong semantical completeness or is deductively complete
if for every set G of sentences, every logical consequence of G is deducible
from G using L. A propositional logic L is Halldén-complete if whenever A 7 B
is a theorem of L, where A and B share no variables, either A or B is a theorem
of L. And L is Post-complete if L is consistent but no stronger logic for the
same language is consistent. Reference to the “completeness” of a logic, without
further qualification, is almost invariably to either weak or strong semantical
completeness. One curious exception: second-order logic is often said to be
“incomplete,” where what is meant is that it is not axiomatizable. 3 A theory T
is negation-complete often simply complete if for every sentence A of the
lancommon notions completeness 162 162
guage of T, either A or its negation is provable in T. And T is omega-complete
if whenever it is provable in T that a property f / holds of each natural
number 0, 1, . . . , it is also provable that every number has f. Generalizing
on this, any set G of well-formed formulas might be called omega complete if
vA[v] is deducible from G whenever A[t] is deducible from G for all terms t,
where A[t] is the result of replacing all free occurrences of v in A[v] by t. 4
A language L is expressively complete if each of a given class of items is
expressible in L. Usually, the class in question is the class of twovalued
truth-functions. The propositional language whose sole connectives are - and 7
is thus said to be expressively or functionally complete, while that built up
using 7 alone is not, since classical negation is not expressible therein. Here
one might also say that the set {-,7} is expressively or functionally complete,
while {7} is not.
Completion. Grice speaks of ‘complete’ and ‘incomplete.
Consider “Fido is shaggy.” That’s complete. “Fido” is incomplete – like pig.
“is shaggy” is incomplete. This is Grice’s Platonism, hardly the nominalism
that Bennett abuses Grice with! For the rational pirot (not the parrot) has
access to a theory of complete --. When lecturing on Peirce, Grice referred to
Russell’s excellent idea of improving on Peirce. “Don’t ask for the meaning of
‘red,’ ask for the meaning of ‘x is red.” Cf. Plato, “Don’t try to see
horseness, try to see ‘x is a horse. Don’t be stupid.” Now “x is red” is a bit
incomplete. Surely it can be rendered by the complete, “Something,
je-ne-sais-quoi, to use Hume’s vulgarism, is red.” So, to have an act of referring
without an act of predicating is incomplete. But still useful for philosophical
analysis.
complexum: versus the ‘simplex.’ Grice starts with the simplex. All
he needs is a handwave to ascribe ‘the emissor communicates that he knows the
route.’ The proposition which is being transmitted HAS to be complex: Subject,
“The emissor”, copula, “is,” ‘predicate: “a knower of the route.”Grice allows
for the syntactically unstructured handwave to be ‘ambiguous’ so that the
intention on the emissor’s part involves his belief that the emissee will take
this rather than that proposition as being transmitted: Second complex:
“Subject: Emissor, copula: is, predicate: about to leave the emissee.”Vide the
altogether nice girl, and the one-at-a-time sailor. The topic is essential in
seeing Grice within the British empiricist tradition. Empiricists always loved
a simplex, like ‘red.’ In his notes on ‘Meaning’ and “Peirce,’ Grice notes that
for a ‘simplex’ like “red,” the best way to deal with it is via a Russellian
function, ‘x is red.’ The opposite of ‘simplex’ is of course a ‘complexum.’ hile
Grice does have an essay on the ‘complexum,’ he is mostly being jocular. His
dissection of the proposition proceds by considering ‘the a,’ and its
denotatum, or reference, and ‘is the b,’ which involves then the predication.
This is Grice’s shaggy-dog story. Once we have ‘the dog is shaggy,’ we have a
‘complexum,’ and we can say that the utterer means, by uttering ‘Fido is
shaggy,’ that the dog is hairy-coated. Simple, right? It’s the jocular in
Grice. He is joking on philosophers who look at those representative of the
linguistic turn, and ask, “So what do you have to say about reference and
predication,’ and Grice comes up with an extra-ordinary analysis of what is to
believe that the dog is hairy-coat, and communicating it. In fact, the
‘communicating’ is secondary. Once Grice has gone to metabolitical extension of
‘mean’ to apply to the expression, communication becomes secondary in that it
has to be understood in what Grice calls the ‘atenuated’ usage involving this
or that ‘readiness’ to have this or that procedure, basic or resultant, in
one’s repertoire! Bealer is one of Grices most brilliant tutees in the New
World. The Grice collection contains a full f. of correspondence with Bealer. Bealer
refers to Grice in his influential Clarendon essay on content. Bealer is
concerned with how pragmatic inference may intrude in the ascription of a
psychological, or souly, state, attitude, or stance. Bealer loves to quote from
Grice on definite descriptions in Russell and in the vernacular, the
implicature being that Russell is impenetrable! Bealers mentor is Grices close
collaborator Myro, so he knows what he is talking about. Grice explored the
matter of subperception at Oxford only with G. J. Warnock.
Grice’s complexe
significabile plural: -- Grice used to say jocularly that he wasn’t commited to
propositions; only to propositional complexes -- complexe significabilia, also
called complexum significabile, in medieval philosophy, what is signified only
by a complexum a statement or declarative sentence, by a that-clause, or by a
dictum an accusative ! infinitive construction, as in: ‘I want him to go’. It
is analogous to the modern proposition. The doctrine seems to have originated
with Adam de Wodeham in the early fourteenth century, but is usually associated
with Gregory of Rimini slightly later. Complexe significabilia do not fall
under any of the Aristotelian categories, and so do not “exist” in the ordinary
way. Still, they are somehow real. For before creation nothing existed except
God, but even then God knew that the world was going to exist. The object of
this knowledge cannot have been God himself since God is necessary, but the
world’s existence is contingent, and yet did not “exist” before creation.
Nevertheless, it was real enough to be an object of knowledge. Some authors who
maintained such a view held that these entities were not only signifiable in a
complex way by a statement, but were themselves complex in their inner structure;
the term ‘complexum significabile’ is unique to their theories. The theory of
complexe significabilia was vehemently criticized by late medieval
nominalists. Refs.: The main reference is in
‘Reply to Richards.’ But there is “Sentence semantics and propositional
complexes,” c. 9-f. 12, BANC.
Possibility – “what is
actual is not also possible – grave mistake!” – H. P. Grice. compossible,
capable of existing or occurring together. E.g., two individuals are
compossible provided the existence of one of them is compatible with the
existence of the other. In terms of possible worlds, things are compossible
provided there is some possible world to which all of them belong; otherwise
they are incompossible. Not all possibilities are compossible. E.g., the extinction
of life on earth by the year 3000 is possible; so is its continuation until the
year 10,000; but since it is impossible that both of these things should
happen, they are not compossible. Leibniz held that any non-actualized
possibility must be incompossible with what is actual.
Intension --
comprehension, as applied to a term, the set of attributes implied by a term.
The comprehension of ‘square’, e.g., includes being four-sided, having equal
sides, and being a plane figure, among other attributes. The comprehension of a
term is contrasted with its extension, which is the set of individuals to which
the term applies. The distinction between the extension and the comprehension
of a term was introduced in the Port-Royal Logic by Arnauld and Pierre Nicole in
1662. Current practice is to use the expression ‘intension’ rather than
‘comprehension’. Both expressions, however, are inherently somewhat vague.
Iron-age metaphysics:
Grice on Russellian compresence, an unanalyzable relation in terms of which
Russell, in his later writings especially in Human Knowledge: Its Scope and
Limits, 8, took concrete particular objects to be analyzable. Concrete
particular objects are analyzable in terms of complexes of qualities all of
whose members are compresent. Although this relation can be defined only
ostensively, Russell states that it appears in psychology as “simultaneity in
one experience” and in physics as “overlapping in space-time.” Complete
complexes of compresence are complexes of qualities having the following two
properties: 1 all members of the complex are compresent; 2 given anything not a
member of the complex, there is at least one member of the complex with which
it is not compresent. He argues that there is strong empirical evidence that no
two complete complexes have all their qualities in common. Finally, space-time
pointinstants are analyzed as complete complexes of compresence. Concrete
particulars, on the other hand, are analyzed as series of incomplete complexes
of compresence related by certain causal laws.
Grice’s computatio sive
logica -- computability, roughly, the possibility of computation on a Turing
machine. The first convincing general definition, A. N. Turing’s 6, has been
proved equivalent to the known plausible alternatives, so that the concept of
computability is generally recognized as an absolute one. Turing’s definition
referred to computations by imaginary tape-processing machines that we now know
to be capable of computing the same functions whether simple sums and products
or highly complex, esoteric functions that modern digital computing machines
could compute if provided with sufficient storage capacity. In the form ‘Any
function that is computable at all is computable on a Turing machine’, this
absoluteness claim is called Turing’s thesis. A comparable claim for Alonzo
Church’s 5 concept of lcomputability is called Church’s thesis. Similar theses
are enunciated for Markov algorithms, for S. C. Kleene’s notion of general
recursiveness, etc. It has been proved that the same functions are computable
in all of these ways. There is no hope of proving any of those theses, for such
a proof would require a definition of ‘computable’ a definition that would simply be a further
item in the list, the subject of a further thesis. But since computations of
new kinds might be recognizable as genuine in particular cases, Turing’s thesis
and its equivalents, if false, might be decisively refuted by discovery of a
particular function, a way of computing it, and a proof that no Turing machine
can compute it. The halting problem for say Turing machines is the problem of
devising a Turing machine that computes the function hm, n % 1 or 0 depending
on whether or not Turing machine number m ever halts, once started with the
number n on its tape. This problem is unsolvable, for a machine that computed h
could be modified to compute a function gn, which is undefined the machine goes
into an endless loop when hn, n % 1, and otherwise agrees with hn, n. But this
modified machine Turing machine number
k, say would have contradictory
properties: started with k on its tape, it would eventually halt if and only if
it does not. Turing proved unsolvability of the decision problem for logic the
problem of devising a Turing machine that, applied to argument number n in
logical notation, correctly classifies it as valid or invalid by reducing the
halting problem to the decision problem, i.e., showing how any solution to the
latter could be used to solve the former problem, which we know to be
unsolvable. computer theory, the theory
of the design, uses, powers, and limits of modern electronic digital computers.
It has important bearings on philosophy, as may be seen from the many
philosophical references herein. Modern computers are a radically new kind of
machine, for they are active physical realizations of formal languages of logic
and arithmetic. Computers employ sophisticated languages, and they have
reasoning powers many orders of magnitude greater than those of any prior
machines. Because they are far superior to humans in many important tasks, they
have produced a revolution in society that is as profound as the industrial
revolution and is advancing much more rapidly. Furthermore, computers
themselves are evolving rapidly. When a computer is augmented with devices for
sensing and acting, it becomes a powerful control system, or a robot. To
understand the implications of computers for philosophy, one should imagine a
robot that has basic goals and volitions built into it, including conflicting
goals and competing desires. This concept first appeared in Karel C v apek’s
play Rossum’s Universal Robots 0, where the word ‘robot’ originated. A computer
has two aspects, hardware and programming languages. The theory of each is
relevant to philosophy. The software and hardware aspects of a computer are
somewhat analogous to the human mind and body. This analogy is especially
strong if we follow Peirce and consider all information processing in nature
and in human organisms, not just the conscious use of language. Evolution has
produced a succession of levels of sign usage and information processing:
self-copying chemicals, self-reproducing cells, genetic programs directing the
production of organic forms, chemical and neuronal signals in organisms,
unconscious human information processing, ordinary languages, and technical
languages. But each level evolved gradually from its predecessors, so that the
line between body and mind is vague. The hardware of a computer is typically
organized into three general blocks: memory, processor arithmetic unit and
control, and various inputoutput devices for communication between machine and
environment. The memory stores the data to be processed as well as the program
that directs the processing. The processor has an arithmetic-logic unit for
transforming data, and a control for executing the program. Memory, processor,
and input-output communicate to each other through a fast switching system. The
memory and processor are constructed from registers, adders, switches, cables,
and various other building blocks. These in turn are composed of electronic
components: transistors, resistors, and wires. The input and output devices
employ mechanical and electromechanical technologies as well as electronics.
Some input-output devices also serve as auxiliary memories; floppy disks and
magnetic tapes are examples. For theoretical purposes it is useful to imagine
that the computer has an indefinitely expandable storage tape. So imagined, a
computer is a physical realization of a Turing machine. The idea of an
indefinitely expandable memory is similar to the logician’s concept of an
axiomatic formal language that has an unlimited number of proofs and theorems.
The software of a modern electronic computer is written in a hierarchy of
programming languages. The higher-level languages are designed for use by human
programmers, operators, and maintenance personnel. The “machine language” is
the basic hardware language, interpreted and executed by the control. Its words
are sequences of binary digits or bits. Programs written in intermediate-level
languages are used by the computer to translate the languages employed by human
users into the machine language for execution. A programming language has
instructional means for carrying out three kinds of operations: data operations
and transfers, transfers of control from one part of the program to the other,
and program self-modification. Von Neumann designed the first modern
programming language. A programming language is general purpose, and an
electronic computer that executes it can in principle carry out any algorithm
or effective procedure, including the simulation of any other computer. Thus
the modern electronic computer is a practical realization of the abstract
concept of a universal Turing machine. What can actually be computed in
practice depends, of course, on the state of computer technology and its
resources. It is common for computers at many different spatial locations to be
interconnected into complex networks by telephone, radio, and satellite communication
systems. Insofar as users in one part of the network can control other parts,
either legitimately or illegitimately e.g., by means of a “computer virus”, a
global network of computers is really a global computer. Such vast computers
greatly increase societal interdependence, a fact of importance for social
philosophy. The theory of computers has two branches, corresponding to the
hardware and software aspects of computers. The fundamental concept of hardware
theory is that of a finite automaton, which may be expressed either as an
idealized logical network of simple computer primitives, or as the
corresponding temporal system of input, output, and internal states. A finite
automaton may be specified as a logical net of truth-functional switches and
simple memory elements, connected to one another by computer theory computer
theory idealized wires. These elements function synchronously, each wire being
in a binary state 0 or 1 at each moment of time t % 0, 1, 2, . . . . Each
switching element or “gate” executes a simple truth-functional operation not,
or, and, nor, not-and, etc. and is imagined to operate instantaneously compare
the notions of sentential connective and truth table. A memory element
flip-flop, binary counter, unit delay line preserves its input bit for one or
more time-steps. A well-formed net of switches and memory elements may not have
cycles through switches only, but it typically has feedback cycles through
memory elements. The wires of a logical net are of three kinds: input, internal,
and output. Correspondingly, at each moment of time a logical net has an input
state, an internal state, and an output state. A logical net or automaton need
not have any input wires, in which case it is a closed system. The complete
history of a logical net is described by a deterministic law: at each moment of
time t, the input and internal states of the net determine its output state and
its next internal state. This leads to the second definition of ‘finite
automaton’: it is a deterministic finite-state system characterized by two
tables. The transition table gives the next internal state produced by each
pair of input and internal states. The output table gives the output state
produced by each input state and internal state. The state analysis approach to
computer hardware is of practical value only for systems with a few elements
e.g., a binary-coded decimal counter, because the number of states increases as
a power of the number of elements. Such a rapid rate of increase of complexity
with size is called the combinatorial explosion, and it applies to many
discrete systems. However, the state approach to finite automata does yield
abstract models of law-governed systems that are of interest to logic and
philosophy. A correctly operating digital computer is a finite automaton. Alan
Turing defined the finite part of what we now call a Turing machine in terms of
states. It seems doubtful that a human organism has more computing power than a
finite automaton. A closed finite automaton illustrates Nietzsche’s law of
eternal return. Since a finite automaton has a finite number of internal
states, at least one of its internal states must occur infinitely many times in
any infinite state history. And since a closed finite automaton is
deterministic and has no inputs, a repeated state must be followed by the same
sequence of states each time it occurs. Hence the history of a closed finite
automaton is periodic, as in the law of eternal return. Idealized neurons are
sometimes used as the primitive elements of logical nets, and it is plausible
that for any brain and central nervous system there is a logical network that
behaves the same and performs the same functions. This shows the close relation
of finite automata to the brain and central nervous system. The switches and
memory elements of a finite automaton may be made probabilistic, yielding a
probabilistic automaton. These automata are models of indeterministic systems.
Von Neumann showed how to extend deterministic logical nets to systems that
contain selfreproducing automata. This is a very basic logical design relevant
to the nature of life. The part of computer programming theory most relevant to
philosophy contains the answer to Leibniz’s conjecture concerning his
characteristica universalis and calculus ratiocinator. He held that “all our
reasoning is nothing but the joining and substitution of characters, whether
these characters be words or symbols or pictures.” He thought therefore that
one could construct a universal, arithmetic language with two properties of
great philosophical importance. First, every atomic concept would be
represented by a prime number. Second, the truth-value of any logically
true-or-false statement expressed in the characteristica universalis could be
calculated arithmetically, and so any rational dispute could be resolved by
calculation. Leibniz expected to do the computation by hand with the help of a
calculating machine; today we would do it on an electronic computer. However,
we know now that Leibniz’s proposed language cannot exist, for no computer or
computer program can calculate the truth-value of every logically true-orfalse
statement given to it. This fact follows from a logical theorem about the
limits of what computer programs can do. Let E be a modern electronic computer
with an indefinitely expandable memory, so that E has the power of a universal
Turing machine. And let L be any formal language in which every arithmetic
statement can be expressed, and which is consistent. Leibniz’s proposed
characteristica universalis would be such a language. Now a computer that is
operating correctly is an active formal language, carrying out the instructions
of its program deductively. Accordingly, Gödel’s incompleteness theorems for
formal arithmetic apply to computer E. It follows from these theorems that no
program can enable computer E to decide of an arbitrary statecomputer theory
computer theory 166 166 ment of L
whether or not that statement is true. More strongly, there cannot even be a
program that will enable E to enumerate the truths of language L one after
another. Therefore Leibniz’s characteristica universalis cannot exist.
Electronic computers are the first active or “live” mathematical systems. They
are the latest addition to a long historical series of mathematical tools for
inquiry: geometry, algebra, calculus and differential equations, probability
and statistics, and modern mathematics. The most effective use of computer
programs is to instruct computers in tasks for which they are superior to
humans. Computers are being designed and programmed to cooperate with humans so
that the calculation, storage, and judgment capabilities of the two are
synthesized. The powers of such humancomputer combines will increase at an
exponential rate as computers continue to become faster, more powerful, and
easier to use, while at the same time becoming smaller and cheaper. The social
implications of this are very important. The modern electronic computer is a
new tool for the logic of discovery Peirce’s abduction. An inquirer or inquirers
operating a computer interactively can use it as a universal simulator,
dynamically modeling systems that are too complex to study by traditional
mathematical methods, including non-linear systems. Simulation is used to
explain known empirical results, and also to develop new hypotheses to be
tested by observation. Computer models and simulations are unique in several
ways: complexity, dynamism, controllability, and visual presentability. These
properties make them important new tools for modeling and thereby relevant to
some important philosophical problems. A humancomputer combine is especially
suited for the study of complex holistic and hierarchical systems with feedback
cf. cybernetics, including adaptive goal-directed systems. A hierarchical-feedback
system is a dynamic structure organized into several levels, with the compounds
of one level being the atoms or building blocks of the next higher level, and
with cyclic paths of influence operating both on and between levels. For
example, a complex human institution has several levels, and the people in it
are themselves hierarchical organizations of selfcopying chemicals, cells,
organs, and such systems as the pulmonary and the central nervous system. The
behaviors of these systems are in general much more complex than, e.g., the
behaviors of traditional systems of mechanics. Contrast an organism, society,
or ecology with our planetary system as characterized by Kepler and Newton.
Simple formulas ellipses describe the orbits of the planets. More basically,
the planetary system is stable in the sense that a small perturbation of it
produces a relatively small variation in its subsequent history. In contrast, a
small change in the state of a holistic hierarchical feedback system often
amplifies into a very large difference in behavior, a concern of chaos theory.
For this reason it is helpful to model such systems on a computer and run
sample histories. The operator searches for representative cases, interesting
phenomena, and general principles of operation. The humancomputer method of
inquiry should be a useful tool for the study of biological evolution, the
actual historical development of complex adaptive goal-directed systems.
Evolution is a logical and communication process as well as a physical and
chemical process. But evolution is statistical rather than deterministic,
because a single temporal state of the system results in a probabilistic
distribution of histories, rather than in a single history. The genetic
operators of mutation and crossover, e.g., are probabilistic operators. But
though it is stochastic, evolution cannot be understood in terms of limiting
relative frequencies, for the important developments are the repeated emergence
of new phenomena, and there may be no evolutionary convergence toward a final
state or limit. Rather, to understand evolution the investigator must simulate
the statistical spectra of histories covering critical stages of the process.
Many important evolutionary phenomena should be studied by using simulation along
with observation and experiment. Evolution has produced a succession of levels
of organization: selfcopying chemicals, self-reproducing cells, communities of
cells, simple organisms, haploid sexual reproduction, diploid sexuality with
genetic dominance and recessiveness, organisms composed of organs, societies of
organisms, humans, and societies of humans. Most of these systems are complex
hierarchical feedback systems, and it is of interest to understand how they
emerged from earlier systems. Also, the interaction of competition and
cooperation at all stages of evolution is an important subject, of relevance to
social philosophy and ethics. Some basic epistemological and metaphysical
concepts enter into computer modeling. A model is a well-developed concept of
its object, representing characteristics like structure and funccomputer theory
computer theory 167 167 tion. A model
is similar to its object in important respects, but simpler; in mathematical
terminology, a model is homomorphic to its object but not isomorphic to it.
However, it is often useful to think of a model as isomorphic to an embedded
subsystem of the system it models. For example, a gas is a complicated system
of microstates of particles, but these microstates can be grouped into macrostates,
each with a pressure, volume, and temperature satisfying the gas law PV % kT.
The derivation of this law from the detailed mechanics of the gas is a
reduction of the embedded subsystem to the underlying system. In many cases it
is adequate to work with the simpler embedded subsystem, but in other cases one
must work with the more complex but complete underlying system. The law of an
embedded subsystem may be different in kind from the law of the underlying
system. Consider, e.g., a machine tossing a coin randomly. The sequence of
tosses obeys a simple probability law, while the complex underlying mechanical
system is deterministic. The random sequence of tosses is a probabilistic
system embedded in a deterministic system, and a mathematical account of this
embedding relation constitutes a reduction of the probabilistic system to a
deterministic system. Compare the compatibilist’s claim that free choice can be
embedded in a deterministic system. Compare also a pseudorandom sequence, which
is a deterministic sequence with adequate randomness for a given finite
simulation. Note finally that the probabilistic system of quantum mechanics
underlies the deterministic system of mechanics. The ways in which models are
used by goaldirected systems to solve problems and adapt to their environments
are currently being modeled by humancomputer combines. Since computer software
can be converted into hardware, successful simulations of adaptive uses of
models could be incorporated into the design of a robot. Human intentionality
involves the use of a model of oneself in relation to others and the
environment. A problem-solving robot using such a model would constitute an
important step toward a robot with full human powers. These considerations lead
to the central thesis of the philosophy of logical mechanism: a finite
deterministic automaton can perform all human functions. This seems plausible
in principle and is treated in detail in Merrilee Salmon, ed., The Philosophy
of Logical Mechanism: Essays in Honor of Arthur W. Burks,0. A digital computer
has reasoning and memory powers. Robots have sensory inputs for collecting
information from the environment, and they have moving and acting devices. To
obtain a robot with human powers, one would need to put these abilities under
the direction of a system of desires, purposes, and goals. Logical mechanism is
a form of mechanism or materialism, but differs from traditional forms of these
doctrines in its reliance on the logical powers of computers and the logical
nature of evolution and its products. The modern computer is a kind of complex
hierarchical physical system, a system with memory, processor, and control that
employs a hierarchy of programming languages. Humans are complex hierarchical
systems designed by evolution with
structural levels of chemicals, cells, organs, and systems e.g., circulatory,
neural, immune and linguistic levels of genes, enzymes, neural signals, and
immune recognition. Traditional materialists did not have this model of a
computer nor the contemporary understanding of evolution, and never gave an
adequate account of logic and reasoning and such phenomena as goaldirectedness
and self-modeling.
conatum: Aristotle
distinguishes three types of living beings: vegetables, φυτά, which possess
only the ability to nourish themselves τὸ θϱεπτιϰόν; animals, ζαῷ, which
possess the faculty of sensing τὸ αἰσθητιϰόν, which opens onto that of
desiring, τὸ ὀϱεϰτιϰόν, to orektikon, (desdideratum); and man and — he says—any
other similar or superior being, who possess in addition the ability to think,
“τὸ διανοητιϰόν τε ϰαὶ νοῦς.” -- De An., 414a 29-b.orme, the technical Stoic
definition of πάθος, viz. as a particular kind of conation, or
impulse (ορμή). ... 4 ' This definition (amorem ipsum conatum amicitiae
faeiendae ex ... emotion and moral self-management in Galen's philosophical psychology', ..cōnātum ,
i, usu. in plur.: cōnāta ,
ōrum, n., v. conor.. The term is used by an the
Wilde Reader at Oxford, that Grice once followed – until he became a
neo-Prichardian instead.(philosophy) The power or act which directs or impels to
effort of any kind, whether muscular or psychical. quotations 1899, George
Frederick Stout, A Manual of Psychology, page
234:Any pleasing
sense-experience, when it has once taken place, will, on subsequent occasions,
give rise to a conation,
when its conditions are only partially repeated...
conceptus: Grice obviously uses Frege’s
notion of a ‘concept.’ One of Grice’s metaphysical routines is meant to produce
a logical construction of a concept or generate a new concept. Aware of the
act/product distinction, Grice distinguishes between the conceptum, or concept,
and the conception, or conceptio. Grice allows that ‘not’ may be a ‘concept,’
so he is not tied to the ‘equine’ idea by Frege of the ‘horse.’ Since an agent
can fail to conceive that his neighbour’s three-year old is an adult, Grice
accepts that ‘conceives’ may take a ‘that’-clause. In ‘ordinary’ language, one
does not seem to refer, say, to the concept that e = mc2, but that may be a
failure or ‘ordinary’ language. In the canonical cat-on-the-mat, we have Grice
conceiving that the cat is on the mat, and also having at least four concepts:
the concept of ‘cat,’ the concept of ‘mat,’ the concept of ‘being on,’ and the
concept of the cat being on the mat. Griceian Meinongianism --
conceivability, capability of being conceived or imagined. Thus, golden
mountains are conceivable; round squares, inconceivable. As Descartes pointed
out, the sort of imaginability required is not the ability to form mental
images. Chiliagons, Cartesian minds, and God are all conceivable, though none
of these can be pictured “in the mind’s eye.” Historical references include
Anselm’s definition of God as “a being than which none greater can be
conceived” and Descartes’s argument for dualism from the conceivability of
disembodied existence. Several of Hume’s arguments rest upon the maxim that
whatever is conceivable is possible. He argued, e.g., that an event can occur
without a cause, since this is conceivable, and his critique of induction
relies on the inference from the conceivability of a change in the course of
nature to its possibility. In response, Reid maintained that to conceive is
merely to understand the meaning of a proposition. Reid argued that
impossibilities are conceivable, since we must be able to understand
falsehoods. Many simply equate conceivability with possibility, so that to say
something is conceivable or inconceivable just is to say that it is possible or
impossible. Such usage is controversial, since conceivability is broadly an
epistemological notion concerning what can be thought, whereas possibility is a
metaphysical notion concerning how things can be. The same controversy can
arise regarding the compossible, or co-possible, where two states of affairs
are compossible provided it is possible that they both obtain, and two
propositions are compossible provided their conjunction is possible.
Alternatively, two things are compossible if and only if there is a possible
world containing both. Leibniz held that two things are compossible provided
they can be ascribed to the same possible world without contradiction. “There
are many possible universes, each collection of compossibles making one of
them.” Others have argued that non-contradiction is sufficient for neither
possibility nor compossibility. The claim that something is inconceivable is
usually meant to suggest more than merely an inability to conceive. It is to
say that trying to conceive results in a phenomenally distinctive mental
repugnance, e.g. when one attempts to conceive of an object that is red and
green all over at once. On this usage the inconceivable might be equated with
what one can “just see” to be impossible. There are two related usages of
‘conceivable’: 1 not inconceivable in the sense just described; and 2 such that
one can “just see” that the thing in question is possible. Goldbach’s
conjecture would seem a clear example of something conceivable in the first
sense, but not the second. Grice was also interested in conceptualism as an
answer to the problem of the universale. conceptualism, the view that there are
no universals and that the supposed classificatory function of universals is
actually served by particular concepts in the mind. A universal is a property
that can be instantiated by more than one individual thing or particular at the
same time; e.g., the shape of this , if identical with the shape of the next ,
will be one property instantiated by two distinct individual things at the same
time. If viewed as located where the s are, then it would be immanent. If
viewed as not having spatiotemporal location itself, but only bearing a
connection, usually called instantiation or exemplification, to things that
have such location, then the shape of this
would be transcendent and presumably would exist even if exemplified by
nothing, as Plato seems to have held. The conceptualist rejects both views by
holding that universals are merely concepts. Most generally, a concept may be understood
as a principle of classification, something that can guide us in determining
whether an entity belongs in a given class or does not. Of course, properties
understood as universals satisfy, trivially, this definition and thus may be
called concepts, as indeed they were by Frege. But the conceptualistic
substantive views of concepts are that concepts are 1 mental representations,
often called ideas, serving their classificatory function presumably by
resembling the entities to be classified; or 2 brain states that serve the same
function but presumably not by resemblance; or 3 general words adjectives,
common nouns, verbs or uses of such words, an entity’s belonging to a certain
class being determined by the applicability to the entity of the appropriate
word; or 4 abilities to classify correctly, whether or not with the aid of an
item belonging under 1, 2, or 3. The traditional conceptualist holds 1.
Defenders of 3 would be more properly called nominalists. In whichever way
concepts are understood, and regardless of whether conceptualism is true, they
are obviously essential to our understanding and knowledge of anything, even at
the most basic level of cognition, namely, recognition. The classic work on the
topic is Thinking and Experience 4 by H. H. Price, who held 4.
conditionalis: The conditional is of special interest to Grice because
his ‘impilcature’ has a conditional form. In other words, ‘implicature’ is a
variant on ‘implication,’ and the conditionalis has been called ‘implication’ –
‘even a material one, versus a formal one by Whitehead and Russell. So it is of
special philosophical interest. Since Grice’s overarching interest is
rationality, ‘conditionalis’ features in the passage from premise to
conclusion, deemed tautological: the ‘associated conditional” of a valid piece
of reasoning. “This is an interesting Latinism,” as Grice puts it. For those in
the know, it’s supposed to translate ‘hypothetical,’ that Grice also uses. But
literally, the transliteration of ‘hypothetica’ is ‘sub-positio,’ i.e.
‘suppositio,’ so infamous in the Dark Ages! So one has to be careful. For some
reason, Boethius disliked ‘suppositio,’ and preferred to add to the Latinate
philosophical vocabulary, with ‘conditionalis,’ the hypothetical, versus the
categoric, become the ‘conditionale.’ And the standard was not the Diodoran,
but the Philonian, also known, after Whitehead, as the ‘implicatio materialis.’
While this sounds scholastic, it isn’t. Cicero may have used ‘implicatio
materialis.’ But Whitehead’s and Russell’s motivation is a different one. They
start with the ‘material’, by which they mean a proposition WITH A TRUTH VALUE.
For implication that does not have this restriction, they introduce ‘implicatio
formalis,’ or ‘formal implication.’ In their adverbial ways, it goes p formally
implies q. trictly, propositio conditionalis:
vel substitutive, versus propositio praedicativa in Apuleius. Classical Latin condicio was
confused in Late Latin with conditio "a making," from conditus,
past participle of condere "to put together." The sense
evolution in Latin apparently was from "stipulation" to
"situation, mode of being."
Grice lists ‘if’ as the third binary functor in his response to Strawson. The
relations between “if” and “⊃” have already, but only in part,
been discussed. 1 The sign “⊃” is called the Material Implication
sign a name I shall consider later. Its meaning is given by the rule that any
statement of the form ‘p⊃q’ is false in the case in which the first of its constituent
statements is true and the second false, and is true in every other case
considered in the system; i. e., the falsity of the first constituent statement
or the truth of the second are, equally, sufficient conditions of the truth of
a statement of material implication ; the combination of truth in the first
with falsity in the second is the single, necessary and sufficient, condition
(1 Ch. 2, S. 7) of its falsity. The standard or primary -- the importance of
this qualifying phrase can scarcely be overemphasized. There are uses of “if …
then … ” which do not answer to the
description given here,, or to any other descriptions given in this chapter
-- use of an “if … then …” sentence,
on the other hand, we saw to be in circumstances where, not knowing whether
some statement which could be made by the use of a sentence corresponding in a
certain way to the first clause of the hypothetical is true or not, or
believing it to be false, we nevertheless consider that a step in reasoning
from that statement to a statement related in a similar way to the second
clause would be a sound or reasonable step ; the second statement also being
one of whose truth we are in doubt, or which we believe to be false. Even in
such circumstances as these we may sometimes hesitate to apply the word ‘true’
to hypothetical statements (i.e., statements which could be made by the use of
“if ... then …,” in its standard significance), preferring to call them
reasonable or well-founded ; but if we apply ‘true’ to them at all, it will be
in such circumstances as these. Now one of the sufficient conditions of the
truth of a statement of material implication may very well be fulfilled without
the conditions for the truth, or reasonableness, of the corresponding
hypothetical statement being fulfilled ; i.e., a statement of the form ‘p⊃q’ does not entail the corresponding statement of the form
“if p then q.” But if we are prepared to accept the hypothetical statement, we
must in consistency be prepared to deny the conjunction of the statement
corresponding to the first clause of the sentence used to make the hypothetical
statement with the negation of the statement corresponding to its second clause
; i.e., a statement of the form “if p then q” does entail the corresponding statement
of the form ‘p⊃q.’ The force of “corresponding” needs elucidation. Consider
the three following very ordinary specimens of hypothetical sentences. If the
Germans had invaded England in 1940, they would have won the war. If Jones were
in charge, half the staff would have been dismissed. If it rains, the match will
be cancelled. The sentences which could be used to make statements
corresponding in the required sense to the subordinate clauses can be
ascertained by considering what it is that the speaker of each hypothetical
sentence must (in general) be assumed either to be in doubt about or to believe
to be not the case. Thus, for (1) to (8), the corresponding pairs of sentences
are as follows. The Germans invaded England in 1940; they won the war. Jones is
in charge; half the staff has been dismissed. It will rain; the match will be
cancelled. Sentences which could be used to make the statements of material
implication corresponding to the hypothetical statements made by these
sentences can now be framed from these pairs of sentences as follows. The Germans
invaded England in 1940 ⊃ they won the war. Jones is in charge ⊃ half the staff has been, dismissed. It will rain ⊃ the match will be cancelled. The very fact that these
verbal modifications are necessary, in order to obtain from the clauses of the
hypothetical sentence the clauses of the corresponding material implication
sentence is itself a symptom of the radical difference between hypothetical
statements and truth-functional statements. Some detailed differences are also
evident from these examples. The falsity of a statement made by the use of ‘The
Germans invaded England in 1940’ or ‘Jones is in charge’ is a sufficient
condition of the truth of the corresponding statements made by the use of (Ml)
and (M2) ; but not, of course, of the corresponding statements made by the use
of (1) and (2). Otherwise, there would normally be no point in using sentences
like (1) and (2) at all; for these sentences would normally carry – but not
necessarily: one may use the pluperfect or the imperfect subjunctive when one
is simply working out the consequences of an hypothesis which one may be
prepared eventually to accept -- in the tense or mood of the verb, an
implication of the utterer's belief in the falsity of the statements
corresponding to the clauses of the hypothetical. It is not raining is
sufficient to verify a statement made by the use of (MS), but not a
statement made by the use of (3). Its not raining Is also sufficient to verify
a statement made by the use of “It will rain ⊃
the match will not be cancelled.” The formulae ‘p revise ⊃q’ and ‘q revise⊃
q' are consistent with one another, and the joint assertion of corresponding
statements of these forms is equivalent to the assertion of the corresponding
statement of the form * *-~p. But “If it rains, the match will be cancelled” is
inconsistent with “If it rains, the match will not be cancelled,” and their
joint assertion in the same context is self-contradictory. Suppose we call the
statement corresponding to the first clause of a sentence used to make a
hypothetical statement the antecedent of the hypothetical statement; and the
statement corresponding to the second clause, its consequent. It is sometimes
fancied that whereas the futility of identifying conditional statements with
material implications is obvious in those cases where the implication of the
falsity of the antecedent is normally carried by the mood or tense of the verb
(e.g., (I) or (2)), there is something to be said for at least a partial
identification in cases where no such implication is involved, i.e., where the
possibility of the truth of both antecedent and consequent is left open (e.g.,
(3). In cases of the first kind (‘unfulfilled’ or ‘subjunctive’ conditionals)
our attention is directed only to the last two lines of the truth-tables for *
p ⊃ q ', where the antecedent has the truth-value, falsity; and
the suggestion that ‘~p’ entails ‘if p, then q’ is felt to be obviously wrong.
But in cases of the second kind we may inspect also the first two lines, for
the possibility of the antecedent's being fulfilled is left open; and the
suggestion that ‘p . q’ entails ‘if p, then q’ is not felt to be obviously
wrong. This is an illusion, though engendered by a reality. The fulfilment of
both antecedent and consequent of a hypothetical statement does not show that
the man who made the hypothetical statement was right; for the consequent might
be fulfilled as a result of factors unconnected with, or in spite of, rather
than because of, the fulfilment of the antecedent. We should be prepared to say
that the man who made the hypothetical statement was right only if we were also
prepared to say that the fulfilment of the antecedent was, at least in part,
the explanation of the fulfilment of the consequent. The reality behind the
illusion is complex : en. 3 it is, partly, the fact that, in many cases, the
fulfilment of both antecedent and consequent may provide confirmation for the
view that the existence of states of affairs like those described by the
antecedent is a good reason for expecting states of affairs like those
described by the consequent ; and it is, partly, the fact that a man whosays,
for example, 4 If it rains, the match will be cancelled * makes a prediction
(viz.. that the match will be cancelled) under a proviso (viz., that it rains),
and that the cancellation of the match because of the rain therefore leads us
to say, not only that the reasonableness of the prediction was confirmed, but
also that the prediction itself was confirmed. Because a statement of the form
“p⊃q” does not entail the corresponding statement of the form '
if p, then q ' (in its standard employment), we shall expect to find, and have
found, a divergence between the rules for '⊃'
and the rules for ' if J (in its standard employment). Because ‘if p, then q’
does entail ‘p⊃q,’ we shall also expect to find some degree of parallelism
between the rules; for whatever is entailed by ‘p "3 q’ will be entailed
by ‘if p, then q,’ though not everything which entails ‘p⊃q’ will entail ‘if p, then q.’ Indeed, we find further
parallels than those which follow simply from the facts that ‘if p, then q’
entails ‘p⊃q’ and that entailment is transitive. To laws (19)-(23)
inclusive we find no parallels for ‘if.’ But for (15) (p⊃j).JJ⊃? (16) (P ⊃q).~qZ)~p (17) p'⊃q s ~q1)~p (18) (?⊃j).(?
⊃r) ⊃ (p⊃r) we find that, with certain reservations, 1 the following
parallel laws hold good : (1 The reservations are important. It is, e. g.,
often impossible to apply entailment-rule (iii) directly without obtaining
incorrect or absurd results. Some modification of the structure of the clauses
of the hypothetical is commonly necessary. But formal logic gives us no guide
as to which modifications are required. If we apply rule (iii) to our specimen
hypothetical sentences, without modifying at all the tenses or moods of the
individual clauses, we obtain expressions which are scarcely English. If we
preserve as nearly as possible the tense-mood structure, in the simplest way
consistent with grammatical requirements, we obtain the sentences : If the
Germans had not won the war, they would not have invaded England in
1940.) If half the staff had not been dismissed, Jones would not be in
charge. If the match is not cancelled, it will not rain. But these sentences,
so far from being logically equivalent to the originals, have in each case a
quite different sense. It is possible, at least in some such cases, to frame
sentences of more or less the appropriate pattern for which one can imagine a
use and which do stand in the required logical relationship to the original
sentences (e.g., ‘If it is not the case that half the staff has been dismissed,
then Jones can't be in charge;’ or ‘If the Germans did not win the war, it's
only because they did not invade England in 1940;’ or even (should historical
evidence become improbably scanty), ‘If the Germans did not win the war, it
can't be true that they invaded England in 1940’). These changes reflect
differences in the circumstances in which one might use these, as opposed to
the original, sentences. Thus the sentence beginning ‘If Jones were in charge
…’ would normally, though not necessarily, be used by a man who antecedently
knows that Jones is not in charge : the sentence beginning ‘If it's not the
case that half the staff has been dismissed …’ by a man who is working towards
the conclusion that Jones is not in charge. To say that the sentences are
nevertheless logically equivalent is to point to the fact that the grounds for
accepting either, would, in different circumstances, have been grounds for accepting
the soundness of the move from ‘Jones is in charge’ to ‘Half the staff has been
dismissed.’) (i) (if p, then q; and p)^q
(ii) (if p, then qt and not-g) Dnot-j? (iii) (if p, then f) ⊃ (if not-0, then not-j?) (iv) (if p, then f ; and iff, then
r) ⊃(if j>, then r) (One must remember that calling the
formulae (i)-(iv) is the same as saying that, e.g., in the case of (iii), c if
p, then q ' entails 4 if not-g, then not-j> '.) And similarly we find that,
for some steps which would be invalid for 4 if ', there are corresponding steps
that would be invalid for “⊃,” e. g. (p^q).q :. p are invalid inference-patterns,
and so are if p, then q ; and q /. p if p, then ; and not-j? /. not-f .The
formal analogy here may be described by saying that neither * p 13 q ' nor * if
j?, then q * is a simply convertible formula. We have found many laws (e.g.,
(19)-(23)) which hold for “⊃” and not for “if.” As an example of
a law which holds for “if,” but not for
“⊃,” we may give the analytic formula “ ~[(if p, then q) * (if
p, then not-g)]’. The corresponding formula 4 ~[(P 3 ?) * (j? 3 ~?}]’ is not
analytic, but (el (28)) is equivalent to the contingent formula ‘~~p.’ The
rules to the effect that formulae such as (19)-{23) are analytic are sometimes
referred to as ‘paradoxes of implication.’ This is a misnomer. If ‘⊃’ is taken as identical either with ‘entails’ or, more
widely, with ‘if ... then …’ in its
standard use, the rules are not paradoxical, but simply incorrect. If ‘⊃’ is given the meaning it has in the system of truth functions,
the rules are not paradoxical, but simple and platitudinous consequences of the
meaning given to the symbol. Throughout this section, I have spoken of a
‘primary or standard’ use of “if … then …,” or “if,” of which the main
characteristics were: that for each hypothetical statement made by this use of
“if,” there could be made just one statement which would be the antecedent of
the hypothetical and just one statement which would be its consequent; that the
hypothetical statement is acceptable (true, reasonable) if the antecedent
statement, if made or accepted, would, in the circumstances, be a good ground
or reason for accepting the consequent statement; and that the making of the
hypothetical statement carries the implication either of uncertainty about, or
of disbelief in, the fulfilment of both antecedent and consequent. (1 Not all
uses of * if ', however, exhibit all these characteristics. In particular,
there is a use which has an equal claim to rank as standard and which is
closely connected with the use described, but which does not exhibit the first
characteristic and for which the description of the remainder must consequently
be modified. I have in mind what are sometimes called 'variable' or 'general’
hypothetical : e.g., ‘lf ice is left in the sun, it melts,’ ‘If the side of a
triangle is produced, the exterior angle is equal to the sum of the two
interior and opposite angles ' ; ' If a child is very strictly disciplined in
the nursery, it will develop aggressive tendencies in adult life,’ and so on.
To a statement made by the use of a sentence such as these there corresponds no
single pair of statements which are, respectively, its antecedent and
consequent. On the other 1 There is much more than this to be said about this
way of using ‘if;’ in particular, about the meaning of the question whether the
antecedent would be a good ground or reason for accepting the consequent and
about the exact way in which this question is related to the question of
whether the hypothetical is true {acceptable, reasonable) or not hand, for
every such statement there is an indefinite number of non-general hypothetical
statements which might be called exemplifications, applications, of the
variable hypothetical; e.g., a statement made by the use of the sentence ‘If
this piece of ice is left in the sun, it will melt.’ To the subject of variable
hypothetical I may return later. 1 Two relatively uncommon uses of ‘if’ may be
illustrated respectively by the sentences ‘If he felt embarrassed, he showed no
signs of it’ and ‘If he has passed his exam, I’m a Dutchman (I'll eat my hat,
&c.)’ The sufficient and necessary condition of the truth of a statement
made by the first is that the man referred to showed no sign of embarrassment.
Consequently, such a statement cannot be treated either as a standard
hypothetical or as a material implication. Examples of the second kind are
sometimes erroneously treated as evidence that ‘if’ does, after all, behave
somewhat as ‘⊃’ behaves. The evidence for this is, presumably, the facts
(i) that there is no connexion between antecedent and consequent; (ii) that the
consequent is obviously not (or not to be) fulfilled ; (iii) that the intention
of the speaker is plainly to give emphatic expression to the conviction that
the antecedent is not fulfilled either ; and (iv) the fact that “(p ⊃ q) . ~q” entails “~p.” But this is a strange piece of
logic. For, on any possible interpretation, “if p then q” has, in respect of
(iv), the same logical powers as ‘p⊃q;’
and it is just these logical powers that we are jokingly (or fantastically)
exploiting. It is the absence of connexion referred to in (i) that makes it a
quirk, a verbal flourish, an odd use of ‘if.’ If hypothetical statements were
material implications, the statements would be not a quirkish oddity, but a
linguistic sobriety and a simple truth. Finally, we may note that ‘if’ can be employed not simply in making
statements, but in, e.g., making provisional announcements of intention (e.g.,
‘If it rains, I shall stay at home’) which, like unconditional announcements of
intention, we do not call true or false but describe in some other way. If the
man who utters the quoted sentence leaves home in spite of the rain, we do not
say that what he said was false, though we might say that he lied (never really
intended to stay in) ; or that he changed his mind. There are further uses of
‘if’ which I shall not discuss. 1 v. ch. 7, I. The safest way to read the
material implication sign is, perhaps, ‘not both … and not …’ The material
equivalence sign ‘≡’ has the meaning given by the
following definition : p q =df=⊃/'(p⊃ff).(sOj)'
and the phrase with which it is sometimes identified, viz., ‘if and only if,’
has the meaning given by the following definition: ‘p if and only if q’ =df ‘if
p then g, and if q then p.’ Consequently, the objections which hold against the
identification of ‘p⊃q” with ‘if p then q’ hold with double force against the
identification of “p≡q’ with ‘p if and only if q.’ ‘If’
is of particular interest to Grice. The interest in the ‘if’ is double in
Grice. In doxastic contexts, he needs it for his analysis of ‘intending’
against an ‘if’-based dispositional (i.e. subjective-conditional) analysis. He
is of course, later interested in how Strawson misinterpreted the ‘indicative’
conditional! It is later when he starts to focus on the ‘buletic’ mode marker,
that he wants to reach to Paton’s categorical (i.e. non-hypothetical)
imperative. And in so doing, he has to face the criticism of those Oxonian
philosophers who were sceptical about the very idea of a conditional buletic
(‘conditional command – what kind of a command is that?’. Grice would refere to
the protasis, or antecedent, as a relativiser – where we go again to the
‘absolutum’-‘relativum’ distinction. The conditional is also paramount in
Grice’s criticism of Ryle, where the keyword would rather be ‘disposition.’
Then ther eis the conditional and disposition. Grice is a philosophical
psychologist. Does that make sense? So are Austin (Other Minds), Hampshire
(Dispositions), Pears (Problems in philosophical psychology) and Urmson
(Parentheticals). They are ALL against Ryle’s silly analysis in terms of
single-track disposition" vs. "many-track disposition," and
"semi-disposition." If I hum and walk, I can either hum or walk. But
if I heed mindfully, while an IN-direct sensing may guide me to YOUR soul, a
DIRECT sensing guides me to MY soul. When Ogden consider attacks to meaning,
theres what he calls the psychological, which he ascribes to Locke Grices
attitude towards Ryle is difficult to assess. His most favourable assessment
comes from Retrospective epilogue, but then he is referring to Ryle’s fairy
godmother. Initially, he mentions Ryle as a philosopher engaged in, and
possibly dedicated to the practice of the prevailing Oxonian methodology, i.e.
ordinary-language philosophy. Initially, then, Grice enlists Ryle in
the regiment of ordinary-language philosophers. After introducing Athenian
dialectic and Oxonian dialectic, Grice traces some parallelisms, which should
not surprise. It is tempting to suppose that Oxonian dialectic reproduces some
ideas of Athenian dialectic. It would actually be surprising if there
were no parallels. Ryle was, after all, a skilled and enthusiastic student of
Grecian philosophy. Interestingly, Grice then has Ryles fairy godmother as
proposing the idea that, far from being a basis for rejecting the
analytic-synthetic distinction, opposition that there are initially two
distinct bundles of statements, bearing the labels analytic and synthetic,
lying around in the world of thought waiting to be noticed, provides us with
the key to making the analytic-synthetic distinction acceptable. The
essay has a verificationist ring to it. Recall Ayer and the
verificationists trying to hold water with concepts like fragile and the
problem of counterfactual conditionals vis-a-vis observational and
theoretical concepts. Grices essay has two parts: one on disposition as
such, and the second, the application to a type of psychological
disposition, which would be phenomenalist in a way, or verificationist, in
that it derives from introspection of, shall we say, empirical
phenomena. Grice is going to analyse, I want a sandwich. One person
wrote in his manuscript, there is something with the way Grice goes to work.
Still. Grice says that I want a sandwich (or I will that I eat a sandwich)
is problematic, for analysis, in that it seems to refer to experience that is
essentially private and unverifiable. An analysis of intending that p in terms
of being disposed that p is satisfied solves this. Smith wants a sandwich, or
he wills that he eats a sandwich, much as Toby needs nuts, if Smith opens the
fridge and gets one. Smith is disposed to act such that p is satisfied.
This Grice opposes to the ‘special-episode’ analysis of intending that p. An
utterance like I want a sandwich iff by uttering the utterance, the utterer is
describing this or that private experience, this or that private
sensation. This or that sensation may take the form of a highly specific
souly sate, like what Grice calls a sandwich-wanting-feeling. But then, if
he is not happy with the privacy special-episode analysis, Grice is also
dismissive of Ryles behaviourism in The concept of mind, fresh from
the press, which would describe the utterance in terms purely of this or that observable
response, or behavioural output, provided this or that sensory input. Grice
became friendlier with functionalism after Lewis taught him how. The
problem or crunch is with the first person. Surely, Grice claims, one does not
need to wait to observe oneself heading for the fridge before one is in a
position to know that he is hungry. Grice poses a problem for the
protocol-reporter. You see or observe someone else, Smith, that Smith wants a
sandwich, or wills that he eats a sandwich. You ask for evidence. But when it
is the agent himself who wants the sandwich, or wills that he eats a
sandwich, Grice melodramatically puts it, I am not in the
audience, not even in the front row of the stalls; I am on the
stage. Genial, as you will agree. Grice then goes on to offer an
analysis of intend, his basic and target attitude, which he has just used to
analyse and rephrase Peirces mean and which does relies on this or that piece
of dispositional evidence, without divorcing itself completely from the privileged
status or access of first-person introspective knowledge. In “Uncertainty,”
Grice weakens his reductive analysis of intending that, from neo-Stoutian,
based on certainty, or assurance, to neo-Prichardian, based on predicting. All
very Oxonian: Stout was the sometime Wilde reader in mental philosophy (a post
usually held by a psychologist, rather than a philosopher ‒ Stouts favourite
philosopher is psychologist James! ‒ and Prichard was Cliftonian and the proper
White chair of moral philosophy. And while in “Uncertainty” he allows that
willing that may receive a physicalist treatment, qua state, hell later turn a
functionalist, discussed under ‘soul, below, in his “Method in
philosophical psychology (from the banal to the bizarre” (henceforth, “Method”),
in the Proceedings and Addresses of the American Philosophical Association,
repr. in “Conception.” Grice can easily relate to Hamsphires "Thought and
Action," a most influential essay in the Oxonian scene. Rather than Ryle!
And Grice actually addresses further topics on intention drawing on Hampshire,
Hart, and his joint collaboration with Pears. Refs.: The main reference is
Grice’s early essay on disposition and intention, The H. P. Grice. Refs.: The
main published source is Essay 4 in WOW, but there are essays on ‘ifs and
cans,’ so ‘if’ is a good keyword, on ‘entailment,’ and for the connection with
‘intending,’ ‘disposition and intention,’ BANC.
Confirmatum –
disconfirmatum -- confirmation, an evidential relation between evidence and any
statement especially a scientific hypothesis that this evidence supports. It is
essential to distinguish two distinct, and fundamentally different, meanings of
the term: 1 the incremental sense, in which a piece of evidence contributes at
least some degree of support to the hypothesis in question e.g., finding a fingerprint of the suspect at
the scene of the crime lends some weight to the hypothesis that the suspect is
guilty; and 2 the absolute sense, in which a body of evidence provides strong
support for the hypothesis in question
e.g., a case presented by a prosecutor making it practically certain
that the suspect is guilty. If one thinks of confirmation in terms of
probability, then evidence that increases the probability of a hypothesis
confirms it incrementally, whereas evidence that renders a hypothesis highly
probable confirms it absolutely. In each of the two foregoing senses one can
distinguish three types of confirmation: i qualitative, ii quantitative, and
iii comparative. i Both examples in the preceding paragraph illustrate
qualitative confirmation, for no numerical values of the degree of confirmation
were mentioned. ii If a gambler, upon learning that an opponent holds a certain
card, asserts that her chance of winning has increased from 2 /3 to ¾, the claim
is an instance of quantitative incremental confirmation. If a physician states
that, on the basis of an X-ray, the probability that the patient has
tuberculosis is .95, that claim exemplifies quantitative absolute confirmation.
In the incremental sense, any case of quantitative confirmation involves a
difference between two probability values; in the absolute sense, any case of
quantitative confirmation involves only one probability value. iii Comparative
confirmation in the incremental sense would be illustrated if an investigator
said that possession of the murder weapon weighs more heavily against the
suspect than does the fingerprint found at the scene of the crime. Comparative
confirmation in the absolute sense would occur if a prosecutor claimed to have
strong cases against two suspects thought to be involved in a crime, but that
the case against one is stronger than that against the other. Even given
recognition of the foregoing six varieties of confirmation, there is still
considerable controversy regarding its analysis. Some authors claim that
quantitative confirmation does not exist; only qualitative and/or comparative
confirmation are possible. Some authors maintain that confirmation has nothing
to do with probability, whereas others
known as Bayesians analyze
confirmation explicitly in terms of Bayes’s theorem in the mathematical
calculus of probability. Among those who offer probabilistic analyses there are
differences as to which interpretation of probability is suitable in this
context. Popper advocates a concept of corroboration that differs fundamentally
from confirmation. Many real or apparent paradoxes of confirmation have been
posed; the most famous is the paradox of the ravens. It is plausible to suppose
that ‘All ravens are black’ can be incrementally confirmed by the observation
of one of its instances, namely, a black crow. However, ‘All ravens are black’
is logically equivalent to ‘All non-black things are non-ravens.’ By parity of
reasoning, an instance of this statement, namely, any nonblack non-raven e.g.,
a white shoe, should incrementally confirm it. Moreover, the equivalence
condition whatever confirms a hypothesis
must equally confirm any statement logically equivalent to it seems eminently reasonable. The result
appears to facilitate indoor ornithology, for the observation of a white shoe
would seem to confirm incrementally the hypothesis that all ravens are black.
Many attempted resolutions of this paradox can be found in the literature.
conjunctum: One has to be careful because the
scholastic vocabulary also misleadingly has ‘copulatum’ for this. The
‘copulatum’ should be restricted to other usages, which Grice elaborates on
‘izzing’ and hazing. traditional parlance, one ‘pars orationis.’ Aulus Gellius writes; “What the Greeks call
“sympleplegmenon” we call conjunctum or copulatum, copulative sentence. For
example. The Stoic copulative sentence — sumpleplegmenon axioma — is translated
by “conjunctum” or “copulatum,” for example: „P. Scipio, son of Paulus, was a
consul twice and was given the honour of triumph and also performed the
function of censor and was the colleague of L. Mummius during his censorship”.
Here, Aulus Gellius made a noteworthy remark, referring to the value of truth
of the composing propositions ■ (a Stoic problem). In keeping with the Stoics,
he wrote: “If one element of the copulative sentence is false, even if all the
other elements are true, the copulative sentence is false” (“in omni aiitem
conjuncto si unum est mendacium etiamsi, caetera vera sunt, totum esse
mendacium dicitur”). In the identification of ‘and’ with ‘Λ’ there
is already a considerable distortion of the facts. ‘And’ can perform many jobs
which ‘Λ’
cannot perform. It can, for instance, be used to couple nouns (“Tom and William
arrived”), or adjectives (“He was hungry and thirsty”), or adverbs (“He walked
slowly and painfully”); while ' . ' can be used only to couple expressions
which could appear as separate sentences. One might be tempted to say that
sentences in which “and” coupled words or phrases, were short for sentences in
which “and” couples clauses; e.g., that “He was hungry and thirsty” was short
for “He was hungry and he was thirsty.” But this is simply false. We do not
say, of anyone who uses sentences like “Tom and William arrived,” that he is
speaking elliptically, or using abbreviations. On the contrary, it is one of
the functions of “and,” to which there is no counterpart In the case of “.,” to
form plural subjects or compound predicates. Of course it is true of many
statements of the forms “x and y” are/* or ' x is /and g \ that they are logically
equivalent to corresponding statements of the" form * x Is /and yisf'oT^x
is /and x is g \ But, first, this is a fact about the use, in certain contexts,
of “and,” to which there corresponds no
rule for the use of * . '. And, second, there are countless contexts for which
such an equivalence does not hold; e.g. “Tom and Mary made friends” is not
equivalent to “Tom made friends and Mary made friends.” They mean, usually,
quite different things. But notice that one could say “Tom and Mary made friends;
but not with one another.” The implication of mutuality in the first phrase is
not so strong but that it can be rejected without self-contradiction; but it is
strong enough to make the rejection a slight shock, a literary effect. Nor does
such an equivalence hold if we replace “made friends” by “met yesterday,” “were
conversing,” “got married,” or “were playing chess.” Even “Tom and William
arrived” does not mean the same as “Tom arrived and William arrived;” for the
first suggests “together” and the second an order of arrival. It might be
conceded that “and” has functions which “ .” has not (e.g., may carry in
certain contexts an implication of mutuality which ‘.’ does not), and yet claimed that the rules
which hold for “and,” where it is used to couple clauses, are the same as the
rules which hold for “.” Even this is not true. By law (11), " p , q ' is
logically equivalent to * q . p ' ; but “They got married and had a child” or
“He set to work and found a job” are by no means logically equivalent to “They
had a child and got married” or “He found a job and set to work.” One might try
to avoid these difficulties by regarding ‘.’ as having the function, not of '
and ', but of what it looks like, namely a full stop. We should then have to
desist from talking of statements of the forms ' p .q\ * p . J . r * &CM
and talk of sets-of-statements of these forms instead. But this would not
avoid all, though it would avoid some, of the difficulties. Even in a passage
of prose consisting of several indicative sentences, the order of the sentences
may be in general vital to the sense, and in particular, relevant (in a way
ruled out by law (II)) to the truth-conditions of a set-of-statements made by
such a passage. The fact is that, in general, in ordinary speech and writing,
clauses and sentences do not contribute to the truthconditions of things said
by the use of sentences and paragraphs in which they occur, in any such simple
way as that pictured by the truth-tables for the binary connectives (' D ' * .
', 4 v ', 35 ') of the system, but in far more subtle, various, and complex
ways. But it is precisely the simplicity of the way in which, by the definition
of a truth-function, clauses joined by these connectives contribute to the
truth-conditions of sentences resulting from the junctions, which makes
possible the stylized, mechanical neatness of the logical system. It will not
do to reproach the logician for his divorce from linguistic realities, any more
than it will do to reproach the abstract painter for not being a
representational artist; but one may justly reproach him if he claims to be a
representational artist. An abstract painting may be, recognizably, a painting
of something. And the identification of “.” with ‘and,’ or with a full stop, is
not a simple mistake. There is a great deal of point in comparing them. The
interpretation of, and rules for, “.”define a minimal linguistic operation,
which we might call ‘simple conjunction’ and roughly describe as the joining
together of two (or more) statements in the process of asserting them both (or
all). And this is a part of what we often do with ' and ', and with the full
stop. But we do not string together at random any assertions we consider true;
we bring them together, in spoken or written sentences or paragraphs, only when
there is some further reason for the rapprochement, e.g., when they record
successive episodes in a single narrative. And that for the sake of which we
conjoin may confer upon the sentences embodying the conjunction logical
features at variance with the rules for “.” Thus we have seen that a statement
of the form “p and q” may carry an implication of temporal order incompatible
with that carried by the corresponding statement of the form “q and p.” This is
not to deny that statements corresponding to these, but of the forms ‘pΛq’
and ‘qΛp’would
be, if made, logically equivalent; for such statements would carry no
implications, and therefore no incompatible implications, of temporal order.
Nor is it to deny the point, and merit, of the comparison; the statement of the
form ‘pΛq’
means at least a part of what is meant by the corresponding statement of the
form ‘p and q.’ We might say: the form
‘p q’ is an abstraction from the different uses of the form ‘p and q.’ Simple conjunction is a minimal element in
colloquial conjunction. We may speak of ‘. ‘ as the conjunctive sign; and read
it, for simplicity's sake, as “and” or “both … and … “I have already remarked
that the divergence between the meanings given to the truth-functional
constants and the meanings of the ordinary conjunctions with which they are
commonly identified is at a minimum in the cases of ' ~ ' and ‘.’ We have seen,
as well, that the remaining constants of the system can be defined in terms of
these two. Other interdefinitions are equally possible. But since ^’ and ‘.’ are more nearly identifiable with ‘not’ and
‘and’ than any other constant with any other English word, I prefer to
emphasize the definability of the remaining constants in terms of ‘ .’ and ‘~.’
It is useful to remember that every rule or law of the system can be expressed
in terms of negation and simple conjunction. The system might, indeed, be
called the System of Negation and Conjunction. Grice lists ‘and’ as the first
binary functor in his response to Strawson. Grice’s conversationalist
hypothesis applies to this central ‘connective.’ Interestingly, in his essay on
Aristotle, and discussing, “French poet,” Grice distinguishes between
conjunction and adjunction. “French” is adjuncted to ‘poet,’ unlike ‘fat’ in ‘fat
philosopher.’ And Grice:substructural
logics, metainference, implicature. Grice explores some of the
issues regarding pragmatic enrichment and substructural logics with a special
focus on the first dyadic truth-functor, ‘and.’ In particular, attention is
given to a sub-structural “rule” pertaining to the commutativeness of
conjunction, applying a framework that sees Grice as clarifying the extra
material that must be taken into account, and which will referred to as the
‘implicatum.’ Grice is thus presented as defending a “classical-logical” rule
that assigns commutativeness to conjunction while accounting for Strawson-type
alleged counterexamples to the effect that some utterances of the schema “p and
q” hardly allow for a ‘commutative’ “inference” (“Therefore, q and p”). How to
proceed conservatively while allowing room for pluralism? Embracing the
“classical-logical” syntactic introduction-cum-elimination and semantic
interpretation of “and,” the approach by Cook Wilson in “Statement and
inference” to the inferential métier of “and” is assessed. If Grice grants that
there is some degree of artificiality in speaking of the meaning or sense of
“and,” the polemic brings us to the realm of ‘pragmatic inference,’ now
contrasted to a ‘logical inference.’ The endorsement by Grice of an
‘impoverished’ reading of conjunction appears conservative vis-à-vis not just
Strawson’s ‘informalist’ picture but indeed the formalist frameworks of
relevant, linear, and ordered logic. An external practical decision à la Carnap
is in order, that allows for an enriched, stronger, reading, if not in terms of
a conventional implicatum, as Strawson suggests. A ‘classical-logic’ reading in
terms of a conversational implicatum agrees with Grice’s ‘Bootstrap,’ a
methodological principle constraining the meta-language/object-language divide.
Keywords: conjunction, pragmatic
enrichment, H. Paul Grice, Bootstrap. “[I]n recent years, my disposition to
resort to formalism has markedly diminished. This retreat may well have been
accelerated when, of all people, Hilary Putnam remarked to me that I was too
formal!”H.P. Grice, ‘Prejudices and predilections; which become, the life and
opinions of Paul Grice,’ in Grandy & Warner, 1986:61 Keywords:
metainference, substructural logics, classical logic, conjunction, H. Paul
Grice, pragmatic inference; Rudolf Carnap, bootstrap, modernism, formalism,
neotraditionalism, informalism, pragmatics, inference, implicature, extensional
conjunction, intensional conjunction, multiplicative conjunction, additive conjunction.
Grice’s approach consistent with Rudolf Carnap’s logical pluralism that allows
room for the account put forward by H. Paul Grice in connection with a specific
meta-inference (or second-order “… yields …”) as it may help us take an
‘external’ practical decision as to how to recapture a structural ‘rule’ of
classical logic. The attempt involves a reconsideration, with a special focus
on the sub-structural classical logic rules for conjunction of Grice’s
ultimately metaphilosophical motivation in the opening paragraphs to “Logic and
Conversation.” Grice explores stick the
first dyadic truth-functor Grice lists. In fact, it’s the first alleged
divergence, between “p and q” and “p. . q” that Grice had quotes in
“Prolegomena” to motivate his audience, and the example he brings up vis-à-vis
an ‘alleged’ “linguistic offence” (a paradox?) that an utterer may incur by
uttering “He got into bed and took his clothes off, but I don’t mean to suggest
he did it in that order” (Grice 1981:186). Implicata are cancellable.
In the present scheme, which justifies substructural logics, this amounts to
any ‘intensional’ reading of a connective (e. g. ‘and’) being susceptible of
being turned or ‘trans-formed’
into
the correlative extensional one in light of the cancelling clause, which brings
new information to the addressee A. This is hardly problematic if we consider
that sub-structural logics
do
not aim to capture the ‘semantics’ of a logical constant, and that the
sub-structural logical ‘enrichment’ is relevant, rather, for the constant’s
‘inferential role.’Neither is it problematic that the fact that the
‘inferential role’ of a logical constant (such as ‘and’) may change (allowing
this ‘trans-formation’ from classical-logical extensional to sub-structural
logical intension, given new information which will be used by the addressee A
to ‘work out’ the utterer U’s meaning. The obvious, but worthemphasizing, entailment in Grice’s
assertion about the “mistake” shared by Formalism and Informalism is that
FORMALISM (as per the standard presentations of ‘classical logic’) does commit
a mistake! Re-capturing the FORMALISM of classical logic is hardly as direct in
the Griceian programme as one would assume. Grice’s ultimate meta-philosophical
motivation, though, seems to be more in agreement with FORMALISM. Formalism can
repair the mistake, Grice thinks, not by allowing a change in the assigning of
an ‘interpretation’ rule of an empoverished “and” (““p and q” is 1 iff both p
and q are 1, 0 otherwise.” (Cfr. Pap: “Obviously,
I cannot prove that “(p and q) ≡ (q and p)”
is tautologous (and that therefore “He got into bed
and took off his clothes’ iff ‘he took of his clothes and got into bed,’)
unless I first construct an
adequate truth-table defining the use of “and.” But surely one of the points of
constructing such a table is to ‘reproduce’ or capture’ the meaning of ‘and’ in
a natural language! The proposal seems circular!) and a deductive ‘syntactics’ rule, involving the
Gentzen-type elimination of ‘and’ (“ “p and q” yields “p”; and its reciprocal,
“ “p and q” yields “q”.” To avoid commiting the mistake, formalism must
recognise the conversational implicatum ceteris paribus derived from some
constraint of rational co-operation (in particular, the desideratum or
conversational maxim, “be orderly!”) and allow for some syntactical scope
device to make the implicatum obvious, an ‘explicatum,’ almost (without the
need to reinforce “and” into “and then”). In Grice’s examples, it may not even
be a VIOLATION, but a FLOUT, of a conversational maxim or desideratum, within
the observance of an overarching co-operation principle (A violation goes
unnoticed; a flout is a rhetorical device. Cfr. Quintilian’s observation that
Homer would often use “p & q” with the implicatum “but not in that order”
left to the bard’s audience to work out). Grice’s attempt is to recapture
“classical-logic” “and,” however pragmatically ‘enriched,’ shares some features
with other sub-structural logics, since we have allowed for a syntactical tweak
of the ‘inference’ rules; which we do via the pragmatist (rather than
pragmatic) ‘implicatural’ approach to logic, highlighting one pragmatic aspect
of a logic without CUT. Grice grants
that “p and q” should read “p . q” “when [“p . q” is] interpreted in the
classical two-valued way.” His wording is thus consistent with OTHER ways
(notably relevant logic, linear and ordered logic). Grice seems to have as one
of his ‘unspeakable truths’ things like “He got into bed and took his clothes
off,” “said of a man who proceeds otherwise.” After
mentioning “and” “interpreted in the classical two-valued way,” Grice dedicates
a full paragraph to explore the
classical logic’s manifesto. The idea is to provide a SYSTEM that will give us
an algorithm to decide which formulae are theorems. The ‘logical consequence’
(or “… yields …”) relation is given a precise definition.Grice
notes that “some logicians [whom he does not mention] may at some time have
wanted to claim that there are in fact no such divergences [between “p and q”
and “p . q”]; but such claims, if made at all, have been somewhat rashly made,
and those suspected of making them have been subjected to some pretty rough
handling.” “Those who concede that such
divergences [do] exist” are the formalists. “An outline of a not
uncharacteristic FORMALIST position may be given as follows,” Grice notes. We
proceed to number the thesis since it sheds light on what makes a
sub-structural logic sub-structural“Insofar as logicians are concerned with the
formulation of very general patterns of VALID INFERENCE (“… yields…”) the
formal device (“p . q”) possesses a decisive advantage over their natural
counterpart (“p and q.”) For it will be possible to construct in terms of the
formal device (“p . q”) a system of very general formulas, a considerable
number of which can be regarded as, or are closely related to, a pattern of
inferences the expression of which involves the device.”“Such a system may
consist of a certain set of simple formulas that MUST BE ACCEPTABLE if the
device has the MEANING (or sense) that has been ASSIGNED to it, and an
indefinite number of further formulas, many of them less obviously acceptable
(“q . p”), each of which can be shown to be acceptable if the members of the
original set are acceptable.”“We have, thus, a way of handling dubiously acceptable
patterns of inference (“q. p,” therefore, “p. q”) and if, as is sometimes
possible, we can apply A DECISION PROCEDURE, we have an even better
way.”“Furthermore, from a PHILOSOPHICAL point of view, the possession by the
natural counterpart (“p and q”) of that element in their meaning (or sense),
which they do NOT share with the corresponding formal device, is to be regarded
as an IMPERFECTION; the element in question is an undesirable excrescence. For
the presence of this element has the result that the CONCEPT within which it
appears cannot be precisely/clearly defined, and that at least SOME statements
involving it cannot, in some circumstances, be assigned a definite TRUTH VALUE;
and the indefiniteness of this concept is not only objectionable in itself but
leaves open the way to METAPHYSICS: we cannot be certain that the
natural-language expression (“p and q”) is METAPHYSICALLY ‘LOADED.’”“For these
reasons, the expression, as used in natural speech (“p and q”), CANNOT be
regarded as finally acceptable, and may tum out to be, finally, not fully
intelligible.” “The proper course is to conceive and begin to construct an
IDEAL language, incorporating the formal device (“p . q”), the sentences of
which will be clear, determinate in TRUTH-VALUE, and certifiably FREE FROM
METAPHYSICAL IMPLICATIONS.”“The foundations of SCIENCE will now be
PHILOSOPHICALLY SECURE, since the statements of the scientist will be
EXPRESSIBLE (though not necessarily actually expressed) within this ideal
language.”What kind of enrichment are we talking
about? It may be understood as a third conjunct ptn-l & qtn
& (tn > tn-l) FIRST
CONJUNCT + SECOND CONJUNCT + “TEMPORAL SUCCESSION” p AND THEN q To
buttress the buttressing of ‘and,’ Grice uses ‘weak’ and ‘strong’ for other
operators like ‘disjunction – and his rationale for the Modified Occam’s razor
would be: “A STRONGER SENSE for a truth-functional dyadic operator SHOULD NOT
BE POSTULATED when A WEAK (or minimal) SENSE does, provided we add the
CANCELLABLE IMPLICATUM.” Grice SIMPLIFIES semantics, but there’s no free lunch,
since he now has to explain how the IMPLICATUM arises. Let’s revise the way “and,” the
first ‘dyadic’ device in “Logic and Conversation,” is invoked by Grice in
“Prolegomena.” “He got into bed and took his clothes off,” “said of a someone
who took his clothes off and got into bed.”
Cfr. theorems ∧I
= ` ∀ φ ψ• [φ; ψ] |= φ ∧ ψ ∧E
= ` ∀ φ ψ• ([φ ∧ ψ] |= φ) ∧ ([φ ∧ ψ] |= ψ)We have: He got into bed and took his clothes
off (Grice, 1989:9). He took his clothes off and got into bed (Grice, 1989:9). He got into bed and took his clothes
off but I don’t want to suggest that he did those things in that order (Grice,
1981:186). He
first took his clothes off and then got into bed (Grice 1989:9). In invoking
Strawson’s Introduction to Logical Theory, is Grice being fair? Strawson had
noted, provocatively: “[The formula] “p . q’ is logically
equivalent to ‘q . p’; but [the English] ‘They got married and had a child’ or
‘He set to work and found a job’ are by no means logically equivalent to ‘They
had a child and got married’ or ‘He found a job and set to work.’”How easier
things would have gone should Strawson have used the adjective ‘pragmatic’ that
he mentions later in his treatise in connection with Grice. Strawson is
sticking with the truth-functionality and thinking of ‘equivalence’ in terms of
‘iff’ – but his remark may be rephrased as involving a notion of ‘inference.’ In
terms of LOGICAL INFERENCE, the premise “He got into bed and took his clothes
off” YIELDS “He took off his clothes and got into bed,” even if that does NOT
‘yield’ in terms of ceteris paribus PRAGMATIC inference. It would have pleased Grice to read the above as: “[The formula] “p
. q’ is equivalentL to ‘q . p’; but [the English] ‘They got married
and had a child’ or ‘He set to work and found a job’ are by no means equivalentP
to ‘They had a child and got married’ or ‘He found a job and set to work.’” By appealing to a desideratum of
rational co-operative discourse, “be orderly,” Grice thinks he can restore
“and” to its truth-functional sense, while granting that the re-inforced “then”
(or an alleged extra sense of “temporal succession,” as he has it in
“Prolegomena”) is merely and naturally (if cancellable on occasion)
conversationally implicated (even if under a generalised way) under the
assumption that the addressee A will recognise that the utterer U is observing
the desideratum, and is being orderly. But witness variants to the cancellation
(3) above. There is an indifferent, indeterminate form: He got into bed and
took off his clothes, though I don’t mean to imply that he did that in that
order.versus the less indeterminate He got into bed and took his clothes off,
but not in that order. +> i.e. in the reverse one.Postulating a pragmatic
desideratum allows Grice to keep any standard sub-structural classical rule for
“and” and “&” (as s he does when he goes more formalist in “Vacuous Names,”
his tribute to Quine).How are to interpret the Grice/Strawson ‘rivalry’ in
meta-inference? Using Frege’s assertion “⊦LK” as our operator to read “…
yields…” we have:p & q ⊦LK q & p
and q & p ⊦LK
p & q.
In “Prolegomena,” then, Grice
introduces:“B. Examples involve an area of special interest to me [since he was
appointed logic tutor at St. John’s], namely
that of expressions which are candidates for being natural analogues to logical
constants and which may, or may not, ‘diverge’ in meaning [not use] from the
related constants (considered as elements in a classical logic, standardly
interpreted). It has, for example, been suggested that because it would be
incorrect or inappropriate [or misleading, even false?] to say “He got into bed
and took off his clothes” of [someone] who first took off his clothes and then
got into bed, it is part of the meaning [or sense] or part of one meaning
[sub-sense] of “and” to convey temporal succession” (Grice 1989:8). The
explanation in terms of a reference to “be orderly” is mentioned in
“Presupposition and conversational implicature” (Grice 1981:186). Grice
notes: “It has been suggested by [an informalist like] Strawson, in [An]
Introduction to Logical Theory [by changing the title of Strawson’s essay,
Grice seems to be implicating that Strawson need not sound pretentious] that
there is a divergence between the ordinary use or meaning of ‘and’ and the
conjunction sign [“.”] of propositional or predicate calculus because “He took
off his clothes and got into to bed” does not seem to have the same meaning as
“He got into bed and took off his clothes.”” Grice goes on: “[Strawson’s] suggestion here is, of course, that, in order properly
to represent the ordinary use of [the
word] “and,” one would have to allow a special sense (or sub-sense) for [the word] “and” which contained
some reference to the idea that what was
mentioned before [the word] “and” was temporally prior to what was mentioned
after it, and that, on that supposition,
one could deal with this case.”Grice goes on: “[Contra Strawson,] I want to
suggest in reply that it is not necessary
[call him an Occamist, minimalist] if one operates on some general principle
[such as M. O. R., or Modified Occam’s Razor] of keeping down, as far as possible, the number of special sense
[sic] of words that one has to invoke, to give countenance to the
alleged divergence of meaning.” The
constraint is not an arbitrary assignation of sense, but a rational one derived
from the nature of conversation:“It is just that there is a general supposition
[which would be sub-sidiary to the general maxim of Manner or ‘Modus’ (‘be
perspicuous! [sic]’) that one presents one's material in an orderly manner and, if what one is engaged upon is a narration (if
one is talking about events), then the
most orderly manner for a narration of events is an order that corresponds to the order in which they took
place.”Grice concludes: “So, the meaning of the expression ‘He took off his
clothes and he got into bed” and the
corresponding expression with a [classical] logician's constant
"&" [when given a standard two-valued interpretation] (i.e. “He took his clothes off & he got into
bed") would be exactly the same.”Grice’s
indifference with what type of formalism to adopt is obvious: “And, indeed, if
anybody actually used in ordinary speech the "&" as a piece of vocabulary instead of as a formal(ist)
device, and used it to connect together sentences of this type, they would collect just the same
[generalised conversational] implicata as the ordinary English sentences have without any extra explanation
of the meaning of the word ‘and’.” It is
then that Grice goes on to test the ‘cancellability,’ producing the
typical Gricean idiom, above:He took his
clothes off and got into bed but I don't mean to suggest that he did those
things in that order. Grice goes on: “I should say that I did suggest, in
[my essay] on implicature, two sorts of
tests by which one might hope to
identify a conversational implicature. [...] I did not mean to suggest that
these tests were final, only that they were useful. One test was the
possibility of cancellation; that is to say, could one without [classical]
logical absurdity [when we have a standard two-valued interpretation], attach a
cancellation clause. For instance, could I say (9)?” Grice: “If that is not a
linguistic offense [and ‘false’], or does not seem to be, then, so far as it
goes, it is an indication that what one has here is a conversational
implicature, and that the original [alleged meaning, sense, or] suggestion of
temporal succession [is] not part of the conventional meaning of the sentence.”
Grice (1981, p. 186). Formalising the temporal succession is
never enough but it may help, and (9) becomes (10):p & q and ptn-l &
qtn where “tn-l” is a temporal index
for a time prior to “tn”. It is interesting to note that Chomsky, of all
people, in 1966, a year before Grice’s William James lectures, in Aspects of
the theory of syntax refers to “A [sic] P. Grice” as propounding that temporal
succession be considered implicature (Since this pre-dates the William James
lectures by a year, it was via the seminars at Oxford that reached Chomsky at
MIT via some of Grice’s tutees).Let us revise Urmson’s wording in his treatment
of the ‘clothes’ example, to check if Grice is being influenced by Urmson’s
presentation of the problem to attack Strawson. Urmson notes: “In
formal[ist] logic, the connective[…] ‘and’ [is] always given a minimum
[empoverished] meaning, as [I] have done above, such that any complex
[molecular sentence] formed by the use of [it] alone is [always] a
truth-function of its constituents.”Urmson goes on to sound almost like
Strawson, whose Introduction to Logical Theory he credits. Urmson notes: “In
ordinary discourse the connective[… ‘and]] often [has] a *richer* meaning.”Urmson
must be credited, with this use of ‘richer’ as the father of pragmatic
enRICHment!Urmson goes on: “Thus ‘He took his clothes off and got into bed’
implies temporal succession and has a different meaning from [the impoverished,
unreinforced] ‘He got into bed and took off his clothes.’” Urmson does not play
with Grice’s reinforcement: “He first got into bed and then took his clothes
off.’ Urmson goes on, however, in his concluding remark, to side with Grice
versus Strawson, as he should! Urmson notes: “[Formal(ist) l]ogicians would
justify their use of the minimum [impoverished, unreinforced, weak] meaning by
pointing out that it is the common element in all our uses [or every use] of
‘and.’” (Urmson,
1956:9-10). The
commutativeness of ‘and’ in the examples he gives is rejected by Strawson. How does Strawson reflect this in his sub-structural rule
for ‘and’? As Humberstone puts it, “It
is possible to define a version of the calculus, which defines most of the
syntax of the logical operators by means of axioms, and which uses only one
inference rule.”Axioms: Let φ, χ and ψ stand for
well-formed formulae. The wff's themselves would not contain any Greek letters,
but only capital Roman letters, connective operators, and parentheses. The
axioms include:ANDFIRST-CONJUNCT: φ ∧ χ → φ and ANDSECOND-CONJUNCT:
φ ∧ χ → χ. Our (13) and (14)
correspond to Gentzen’s “conjunction elimination” (or (& -), as Grice has
it in “Vacuous Names.”). The relation
between (13) and (14) reflects the commutativity of the conjunction operator.
Cfr. Cohen 1971: “Another conversational maxim
of Grice's, “be orderly”, is
intended to govern such matters as the formalist can show that it was not
appropriate to postulate a special non-commutative temporal
conjunction.”“The locus classicus for complaints of this nature being Strawson (1952).”
Note that the commutative “and” is derived from Grice’s elimination of
conjunction, “p & q ⊦ p” and “p & q ⊦ q -- as used by Grice in his system Q.Also note that the
truth-evaluation would be for Grice ‘semantic,’ rather than ‘syntactic’ as the
commutative (understood as part of elimination). Grice has it as: If phi and
psi are formulae, “φ and ” is 1 iff both φ and ψ are true, 0 otherwise. Grice grants
that however “baffling” (or misleading) would be to utter or assert (7)
if no one has doubts about the
temporal order of the reported the events, due to the expectation that the
utterer is observing the conversational maxim “be orderly” subsumed under the
conversational category of ‘Modus’ (‘be perspicuous! [sic]” – cfr. his earlier
desideratum of conversational clarity). Relevant logic (which was emerging by
the time Grice was delivering his William James lectures) introduces two
different formal signs for ‘conjunction’: the truth-functional conjunction
relevant logicians call ‘extensional’ conjunction, and they represent by (13).
Non-truth-functional conjunction is represented by ‘X’ and termed fusion or
‘intensional’ conjunction: p ^ q versus p X q.
The truth-table for Strawson’s enriched uses of
“and” is not the standard one, since we require the additional condition that
“p predates q,” or that one conjunct predates the other. Playing with structural and
substructural logical rules is something Carnap would love perhaps more than
Grice, and why not, Strawson? They liked to play with ‘deviant’ logics. For
Carnap, the choice of a logic is a pragmatic ‘external’ decision – vide his
principle of tolerance and the rather extensive bibliography on Carnap as a
logic pluralist. For Grice, classical logic is a choice guided by his respect
for ordinary language, WHILE attempting to PROVOKE the Oxonian establishment by
rallying to the defense of an under-dogma and play the ‘skilful heretic’
(turning a heterodoxy into dogma). Strawson is usually more difficult to
classify! In his contribution to Grandy & Warner (1986), he grants that
Grice’s theory may be ‘more beautiful,’ and more importantly, seems to suggest
that his view be seen as endorsing Grice’s account of a CONVENTIONAL
implicature (For Strawson, ‘if’ (used for unasserted antecedent and
consequence) conventionally implicates the same inferrability condition that
‘so’ does for asserted equivalents. The aim
is to allow for a logically pluralist thesis, almost alla Carnap about the
‘inferential role’ of a logical constant such as ‘and’, which embraces
‘classical,’ (or ‘formalist,’ or ‘modernist’), relevant, linear and ordered
logic. PLURALISM (versus MONISM) has it that, for any logical constant c (such as “and”), “c” has more
than one *correct* inferential “role.” The pluralist thesis depends on a
specific interpretation of the vocabulary of sub-structural logics. According
to this specific interpretation, a classical logic captures the literal, or
EXPLICIT, explicatum, or truth-functional or truth-conditonal meaning, or what
Grice would have as ‘dictiveness’ of a logical constant. A sub-structural logic
(relevant logic, linear and ordered logic), on the other hand, encodes a
pragmatically,” i.e. not SEMANTICALLY, “-enriched sense” of a logical constant
such as “and.” Is this against the spirit of Grice’s overall thesis as
formulated in his “M. O. R.,” Modified Occam’s Razor, “Senses [of ‘and’] are
not to be multiplied beyond necessity”? But it’s precisely Grice’s Occamism (as
Neale calls it) that is being put into question. At Oxford, at the time, EVERYBODY (except
Grice!) was an informalist. He is coming to the defense of Russell, Oxford’s
underdog! (underdogma!). Plus, it’s important to understand the INFORMALISM
that Grice is attacking – Oxford’s ORTHO-doxy – seriously. Grice is being the
‘skilful HERETIC,’ in the words of his successor as Tutorial Fellow at Oxford,
G. P. Baker. We may proceed by four stages.
First, introduce the philosophical motivation for the pluralist thesis.
It sounds good to be a PLURALIST. Strawson was not. He was an informalist.
Grice was not, he was a post-modernist. But surely we not assuming that one
would want to eat the cake and have it! Second, introduce the calculus for the
different (or ‘deviant,’ as Haack prefers) logics endorsed in the pluralist
thesis – classical itself, relevant, linear and ordered logic. Third, shows how
the different “behaviours” of an item of logical vocabulary (such as “and”) of
each of these logics (and they all have variants for ‘conjunction.’ In the case
of ‘relevant’ logic, beyond Grice’s “&,” or classical conjunction, there is
“extensional conjunction,” FORMALISED as “p X q”, or fusion, and “INTENSIONAL
conjunction,” formalized by “p O q”. These can be, not semantically
(truth-functionally, or truth-conditional, or at the level of the EXPLICATUM),
but pragmatically interpreted (at the level of the IMPLICATUM). Fourth, shows
how the *different* (or ‘deviant,’ or pluralist), or alternative inferential
“roles” (that justifies PLURALISM) that *two* sub-structural logics (say,
Grice’s classical “&” the Strawson’s informalist “and”) attribute to a
logical constant “c” can co-exist – hence pluralism. A particular version of
logical “pluralism” can be argued from the plurality of at least *two*
alterative equally legitimate formalisations of the logical vocabulary, such as
the first dyadic truth-functor, or connective, “and,” which is symbolized by
Grice as “&,” NOT formalized by Strawson (he sticks with “and”) and
FORMALISED by relevant logicians as ‘extensional’ truth-functional conjunction
(fision, p X a) and intentional non-truth-functional conjunction (p O q). In particular, it can be argued that the
apparent “rivalry” between classical logic (what Grice has as Modernism, but he
himself is a post-modernist) and relevant logic (but consider Grice on
Strawson’s “Neo-Traditionalism,” first called INFORMALISM by Grice) can be
resolved, given that both logics capture and formalise normative and legitimate
alternative senses of ‘logical consequence.’ A revision of
the second paragraph to “Logic and Conversation” should do here. We can
distinguish between two operators for “… yields …”: ├ and ├: “A1, A2, … An├MODERNISM/FORMALISM-PAUL B” and “A1, A2, … An├NEO-TRADITIONALISM/INFORMALISM-PETER
B. As Paoli has it: “[U]pholding weakening amounts to failing to
take at face value the [slightly Griceian] expression ‘assertable on the basis
of’.’”Paoli goes on:“If I am in a
position to assert [the conclusion q, “He took his clothes off and got into
bed”] on the basis of the information provided by [the premise p, “He got into
bed and took his clothes off”], I need NOT be in a position to assert the
conclusion P [“He took his clothes off and got into bed”] on the basis of both
p (“He got into bed and took off his clothes” and an extra premise C - where C
is just an idle assumption (“The events took place in the order reported”) ,
irrelevant to my conclusion.”Can we regard Strawson as holding that
UNFORMALISED “and” is an INTENSIONAL CONJUNCTION? Another option is to see
Strawson as holding that the UNFORMALISED “and” can be BOTH truth-functional
and NON-truth-functional (for which case, the use of a different expression,
“and THEN,” is preferred). The Gricean theory of implicature is capable of
explaining this mismatch (bewtween “and” and “&”).Grice argues that the
[truth-conditional, truth-functional] semantics [DICTUM or EXPLICATUM, not
IMPLICATUM – cfr. his retrospective epilogue for his view on DICTIVENESS] of
“and” corresponds [or is identical, hence the name of ‘identity’ thesis versus
‘divergence’ thesis] to the classical “∧,”
& of Russell/Whitehead, and Quine, and Suppes, and that the
[truth-functional semantics of “if [p,] [q]” corresponds to the classical p ⊃ q.” There is scope for
any theory capable of resolving or [as Grice would have it] denying the
apparent disagreement [or ‘rivalry’] among two or more logics.” What Grice does
is DENY THE APPARENT DISAGREEMENT. It’s
best to keep ‘rivalry’ for the fight of two ‘warring camps’ like FORMALISM and
INFORMALISM, and stick with ‘disagreement’ or ‘divergence’ with reference to
specific constants. For Strawson, being a thorough-bred Oxonian, who perhaps
never read the Iliad in Greek – he was Grice’s PPE student – the RIVALRY is not
between TWO different formalisations, but between the ‘brusque’ formalisation
of the FORMALISTS (that murder his English!) and NO FORMALISATION at all. Grice
calls this ‘neo-traditionalist,’ perhaps implicating that the
‘neo-traditionalists’ WOULD accept some level of formalisation (Aristotle did!)
ONLY ONE FORMALISATION, the Modernism. INFORMALISM or Neo-Traditionalism aims
to do WITHOUT formalisation, if that means using anything, but, say, “and” and
“and then”. Talk of SENSES helps. Strawson may say that “and” has a SENSE which
differs from “&,” seeing that he would find “He drank the poison and died,
though I do not mean to imply in that order” is a CONTRADICTION. That is why
Strawson is an ‘ordinary-LANGUAGE philosopher,” and not a logician! (Or should
we say, an ‘ordinary-language logician’? His “Introduction to Logical Theory”
was the mandatory reading vademecum for GENERATIONS of Oxonians that had to
undergo a logic course to get their M. A. Lit. Hum.Then there’s what we can
call “the Gricean picture,” only it’s not too clear who painted it!We may agree
that there is an apparent “mismatch,” as opposed to a perfect “match” that
Grice would love! Grice thought with Russell that grammar is a pretty good
guide to logical form. If the utterer says “and” and NOT “and then,” there is
no need to postulate a further SENSE to ‘and.’Russell would criticize
Strawson’s attempt to reject modernist “&” as a surrogate for “and” as
Strawson’s attempt to regress to a stone-age metaphysics. Grice actually at
this point, defended Strawson: “stone-age PHYSICS!” And this relates to “…
yields…” and Frege’s assertion “/-“ as ‘Conclusion follows from Premise’ where
‘Premise yields Conclusion’ seems more natural in that we preserve the order
from premise to conclusion. We shouldn’t underestimate one crucial feature of
an implicatum: its cancellability, on which Grice expands quite a bit in 1981: “He
got into bed and took his clothes off, although I don’t intend to suggest, in
any shape or form, that he proceed to do those things in the order I’ve just
reported!”The lack of any [fixed, rigid, intolerant] structural rule implies
that AN INSTANCE I1 of the a logical constant (such as “and”) that *violate*
any of Grice’s conversational maxim (here “be orderly!”) associated with the
relevant structural rule [here we may think of ADDITION AND SIMPLIFICATION as
two axioms derived from the Gentzen-type elimination of “and”, or the
‘interpretation’ of ‘p & q’ as 1 iff both p and q are 1, but 0 otherwise]
and for which the derived conversational implicature is false [“He went to bed
and took his clothes off, but not in that order!”] should be distinguished from
ANY INSTANCE I2 that does NOT violate the relevant maxim (“be orderly”) and for
which the conversational IMPLICATUM (“tn > tn-l”) is true.” We may nitpick
here.Grice would rather prefer, ‘when the IMPLICATUM applies.” An implicatum is
by definition cancellable (This is clear when Grice expands in the excursus “A
causal theory of perception.” “I would hardly be said to have IMPLIED that
Smith is hopeless in philosophy should I utter, “He has beautiful handwriting;
I don’t mean to imply he is hopeless in philosophy,” “even if that is precisely
what my addressee ends up thinking!”When it comes to “and,” we are on clearer
ground. The kinds of “and”-implicatures may be captured by a distinction of two
‘uses’ of conjunctions in a single substructural system S that does WITHOUT a
‘structural rule’ such as exchange, contraction or both. Read, relies, very
UNLIKE Strawson, on wo FORMALISATIONS besides “and” (for surely English “and”
does have a ‘form,’ too, pace Strawson) in Relevant Logic: “p ^ q” and “p X q.” “p ^ q” and “p X q” have each a different
inferential role. If the reason the UTTERER has to assert it – via the DICTUM
or EXPLICATUM [we avoid ‘assert’ seeing that we want logical constants to trade
on ‘imperative contexts,’ too – Grice, “touch the beast and it will bite you!”
-- is the utterer’s belief that Smith took his clothes AND THEN got into bed,
it would be illegitimate, unwarranted, stupid, otiose, incorrect,
inappropriate, to infer that Smith did not do these two things in that order
upon discovering that he in fact DID those things in the order reported. The very discovery that Smith did the things
in the order reported would “just spoil” or unwarrant the derivation that would
justify our use of “… yields …” (¬A ¬(A u B) A ¬B”). As Read notes, we have ADJUNCTION ‘p and q’ follows from p and q
– or p and q yields ‘p and q.’ And we have SIMPLIFICATION: p and q
follow from ‘p and q,’ or ‘p and q’ yields p, and ‘p and q’ yields q.” Stephen
Read: “From adjunction and simplification we can infer, by transitivity, that q
follows from p and q, and so by the Deduction Equivalence, ‘if p, q’ follows
from q.’” “However, […] this has the unacceptable consequence that ‘if’ is
truth-functional.” “How can this
consequence be avoided?” “Many options are open.” “We can reject the
transitivity of entailment, the deduction equivalence, adjunction, or
simplification. Each has been tried; and each seems contrary to intuition.” “We
are again in the paradoxical situation that each of these conceptions seems
intuitively soundly based; yet their combination appears to lead to something
unacceptable.” “Are we nonetheless forced to reject one of these plausible
principles?” “Fortunately, there is a fifth option.” Read: “There is a familiar
truth-functional conjunction, expressed by ‘p and q’, which entails each of p
and q, and so for the falsity (Grice’s 0) of which the falsity of either
conjunct suffices, and the truth of both for the truth of the whole.” “But
there is also a NON-truth-functional conjunction, a SENSE of ‘p and q’ whose
falsity supports the inference from p to ‘~q’.” “These two SENSES of
‘conjunction’ cannot be the same, for, if the ground for asserting ‘not-(p and
q)’ (e.g. “It is not the case that he got into bed and took off his clothes”)
is simply that ‘p’ is false, to learn that p is true, far from enabling one to
proceed to ‘~q’, undercuts the warrant for asserting ‘~(p & q)’ in the
first place.” “In this sense, ‘~(p & q)’ is weaker than both ‘~p’ and ‘~q’,
and does not, even with the addition of p, entail ‘~q’, even though one
possible ground for asserting ‘~(p & q))’, viz ‘~q’, clearly does.” Stephen
Read: “The intensional sense of ‘and’ is often referred to as fusion; I will
use the symbol ‘×’ for it. Others write ‘◦.’”We add some relevant observations
by a palaeo-Griceian: Ryle. Ryle often felt
himself to be an outsider. His remarks on “and” are however illuminating in the
context of our discussion of meta-inference in substructural logic.Ryle writes:
“I have spoken as if our ordinary ‘and’ […] [is] identical with the logical
constant with which the formal logician operates.”“But this is not true.”“The
logician’s ‘and’ […] [is] not our familiar civilian term[…].”“It is [a]
conscript term, in uniform and under military discipline, with memories, indeed,
of [its] previous more free and easy civilian life, though it is not leaving
that life now.”“If you hear on good authority that she took arsenic and fell
ill you will reject the rumour that she fell ill and took arsenic.”“This
familiar use of ‘and’ carries with it the temporal notion expressed by ‘and
subsequently’ and even the causal notion expressed by ‘and in
consequence.’”“The logician’s conscript ‘and’ does only its appointed duty – a
duty in which ‘she took arsenic and fell ill’ is an absolute paraphrase of ‘she
fell ill and took arsenic.’ This might be call the minimal force of ‘and.’”
(Ryle,, 1954:118). When we speaks of PRAGMATIC enrichment, we obviously
don’t mean SEMANTIC enrichment. There is a distinction, obviously, between the
‘pragmatic enrichment’ dimension, as to whether the ‘enriched’ content is
IMPLICATED or, to use a neologism, ‘EX-plicated.’ Or cf. as Kent Bach would
prefer, “IMPLICITATED” (vide his “Implciture.”) Commutative
law: p & q iff q & p. “Axiom AND-1” and “Axiom AND-2” correspond
to "conjunction elimination". The relation between “AND-1” and
“AND-2” reflects the commutativity of the conjunction operator. A VERY IMPORTANT POINT to consider is Grice’s
distinction between ‘logical inference’ and ‘pragmatic inference.’ He does so
in “Retrospective Epilogue” in 1987. “A few years after the appearance of […]
Introduction to Logical Theory, I was devoting much attention to what might be
loosely called the distinction between logical and pragmatic inferences. …
represented as being a matter not of logical but of pragmatic import.” (Grice
1987:374).Could he be jocular? He is emphasizing the historical role of his
research. He mentions FORMALISM and INFORMALISM and notes that his own interest
in maxims or desiderata of rational discourse arose from his interest to
distinguish between matters of “logical inference” from those of “pragmatic
inference.” Is Grice multiplying ‘inference’ beyond necessity? It would seem
so. So it’s best to try to reformulate his proposal, in agreement with logical
pluralism.By ‘logical inference’ Grice must mean ‘practical/alethic
satisfactoriness-based inference,’ notably the syntactics and semantics
(‘interpretative’) modules of his own System Q. By ‘pragmatic inference’ he
must mean a third module, the pragmatic module, with his desiderata. We may say
that for Grice ‘logical inference’ is deductive (and inductive), while
‘pragmatic inference’ is abductive. Let us apply this to the ‘clothes off’
exampleThe Utterer said: “Smith got into bed and took his clothes off, but I’m
reporting the events in no particular order.” The ‘logical inference’ allows to
treat ‘and’ as “&.” The ‘pragmatic inference’ allows the addressee to
wonder what the utterer is meaning! Cf. Terres on “⊢k” for “logical inference” and “⊢r,” “⊢l,” and “⊢o,” for pragmatic inference, and where the
subscripts “k,” “r,” “l” and “o” stand for ‘classical,’ ‘relevant,’ ‘linear’
and ‘ordered’ logic respectively, with each of the three
sub-structural notions of “follows from” or “… yields …” require the pragmatic enrichment of a logical constant, that ‘classical logical’
inference may retain the ‘impoverished’ version (Terres, 2019, Inquiry, p. 13). Grice himself mentions
this normative dimension:
“I would like to be able to think of the standard type of conversational
practice not merely
as something that all or most do IN FACT follow but as something that it is REASONABLE for us to
follow, that we SHOULD NOT abandon.”Grice, 1989a, p.48]However, the fact that
we should observe the conversational maxims may not yet be a reason for endorsing the allegedly
‘deviant’ inferential role of a logical constant in the three sub-structural
logics under examination.The legitimacy of the ‘deviant’ ‘inferential role’ of
each constant in each sub-structural logic emerges, rather from at least two
sources.A first source is a requirement for logic (or reasoning) to be
normative: that its truth-bearers [or satisfactoriness-bearers, to allow for
‘imperative’-mode inferences) are related to what Grice calls ‘psychological
attitudes’ of ‘belief’ (indicative-mode inference) and ‘desire’
(imperative-mode inference) (Grice, 1975, cfr. Terres, Inquiry, 2019, p. 13).
As Steinberg puts it:“Presumably, if logic is normative for thinking or
reasoning, its normative force will stem, at least in part, from the fact that
truth bearers which act as the relata of our consequence relation and the
bearers of other logical properties are identical to (or at least are very
closely related in some other way) to the objects of thinking or reasoning: the
contents of one’s mental states or acts such as the content of one’s beliefs or
inferences, for example.”[Steinberger, 2017a – and cf. Loar’s similar approach
when construing Grice’s maxims as ‘empirical generalisations’ of ‘functional
states’ for a less committed view of the embedding of logical and pragmatic
inference within the scope of psychological-attitude ascriptions). A second
source for the legitimacy of the ‘deviant’ inferential role is the fact that
the pragmatic enrichment of the logical vocabulary (both a constant and ‘…
yields …) is part, or a ‘rational-construction,’ of our psychological
representation of certain utterances involving the natural counterparts of
those constants. This may NOT involve a new sense of ‘and’ which is with what Grice is
fighting. While the relevant literature emphasizes “reasons to assert”
(vide Table on p. 9, Terres, 2019), it is worth pointing out that the model
should be applicable to what we might broadly construe as ‘deontic’ reasoning
(e.g. Grice on “Arrest the intruder!” in Grice 1989, and more generally his
practical syllogisms in Grice 2001). We seem to associate “assert” with
‘indicative-mode’ versions only of premise and conclusion. “Reasons to express”
or “reasons to make it explicit” may serve as a generalization to cover both
“indicative-mode” and “imperative-mode” versions of the inferences to hand. When
Grice says that, contra Strawson, he wants to see things in terms of ‘pragmatic
inference,’ not ‘logical inference,’ is he pulling himself up by his own
bootstraps? Let us clarify.When
thinking of what META-language need be used to formulate both Grice’s final
account vis-à-vis Strawson’s, it is relevant to mention that Grice once invoked
what he called the “Bootstrap” principle. In the course of considering a ‘fine
distinction’ in various levels of conceptual priority, slightly out of the
blue, he adds – this is from “Prejudices and predilections, which become, the
life and opinions of Paul Grice,” so expect some informality, and willingness
to amuse: “It is perhaps reasonable to regard such fine distinctions as
indispensable if we are to succeed in the business of pulling ourselves up by
our own bootstraps,” Grice writes. And then trust him to add: “In this
connection, it will be relevant for me to say that I once invented (though I
did not establish its validity) a principle which I labelled as ‘Bootstrap.’”
Trust him to call with a good title. “The principle,” Grice goes on, “laid down
that, when one is introducing some primitive concept [such as conjunction] of a
theory [or calculus or system] formulated in an object-language [G1],
one has freedom to use any concept from a battery of concepts expressible in
the meta-language [System G2], subject to the condition that a
*counterpart* of such a concept [say, ‘conjunction’] is sub-sequently
definable, or otherwise derivable, in the object-language [System G1].”Grice
concludes by emphasizing the point of the manoeuvre: “So, the more economically one introduces a
primitive object-language concept, the less of a task one leaves oneself for
the morrow.” [Grice 1986]. With uncharacteristic humbleness,
Grice notes that while he was able to formulate and label “Bootstrap,” he never
cared to establish its ‘validity.’ We hope we have! “Q. E. D.,” as they say! Cf.
Terres, 2019, Inquiry, p. 17: In conclusion, the pragmatic interpretation of
substructural logics may be a new and interesting research field for the
logical pluralist who wishes to endorse classical and/or substructural logics,
but also for the logical monist who aims to interpret their divergence with a
pluralist logician. The possibility is also open of an interesting dialogue
between philosophical logicians and philosophers of language as they explore
the pragmatic contributions of a logical constant to the meaning of a complete
utterance, given that a substructural logic encodes what has been discussed by
philosophers of language, the enriched ‘explicatum’ of the logical constant.
And Grice. References: Werner Abraham, ‘A linguistic
approach to metaphor.’ in Abraham, Ut videam: contributions to an understanding
of linguistics. Jeffrey C. Beall and Greg Restall.
‘Logical consequence,’ in Edward N. Zalta, editor, The Stanford Encyclopedia of
Philosophy. Fall 2009 edition, 2009. Rudolf
Carnap, 1942. Introduction to Semantics. L.J.
Cohen, 1971. Grice on the logical particles of natural language, in Bar-Hillel,
Pragmatics of Natural language, repr. in Cohen, Language and knowledge.L.J.
Cohen, 1977. ‘Can the conversationalist hypothesis be defended?’ Philosophical
Studies, repr. in Cohen, Logic and knowledge. Davidson, Donald and J. Hintikka
(1969). Words and objections: essays on the work of W. V. Quine. Dordrecht:
Reidel. Bart Geurts, Quantity implicatures.Bart Geurts and Nausicaa
Pouscoulous. Embedded implicatures?!? Semantics and pragmatics, 2:4–1,
2009.Jean-Yves Girard. Linear logic: its syntax and semantics. London
Mathematical Society Lecture Note Series, pp. 1–42, 1995.H.P. Grice. 1967a.
‘Prolegomena,’ in Studies in the Way of Words.H.P. Grice. 1967b. Logic and
conversation. Studies in the Way of Words, Harvard University Press, Cambridge,
MA, pages 22–40, 1989.H.P. Grice. 1967c. ‘Indicative conditionals. Studies in
the Way of Words, Harvard University Press, Cambridge, MA, pages 58–85, 1989.H.P. Grice. 1969. ‘Vacuous Names,’ in Words and
objections: essays on the work of W. V. Quine, edited by Donald Davidson and
Jaako Hintikka, Dordrecht: Reidel. H.P. Grice, 1981. ‘Presupposition and
conversational implicature,’ in Paul Cole, Radical Pragmatics, New York,
Academic Press. H.P.
Grice, 1986. ‘Reply to Richards,’ in Philosophical Grounds of Rationality:
Intentions, Categories, Ends, ed. by Richard Grandy and Richard Warner, Oxford:
The Clarendon Press.H.P. Grice. 2001. Aspects of reason, being the John Locke
Lectures delivered at Oxford, Oxford: Clarendon. H.P. Grice, n.d. ‘Entailment,’
The H. P. Grice Papers, BANC MSS 90/135c, The Bancroft Library, University of
California, Berkeley. Loar, B. F. Meaning and mind.
Cambridge: Cambridge University Press. Mates, Benson, Elementary Logic. Oxford:
Clarendon Press.George Myro, 1986. ‘Time and identity,’ in Richard Grandy and
Richard Warner, Philosophical Grounds of Rationality: Intentions, Categories,
Ends. Oxford: Clarendon Press. Francesco Paoli, Substructural logic. Arthur
Pap. 1949. ‘Are all necessary propositions analytic?’, repr. in The limits of
logical empiricism.Peacocke, Christopher A. B. (1976), What is a logical
constant? The Journal of Philosophy.Quine, W. V. O. 1969. ‘Reply to H. P.
Grice,’ in Davidson and Hintikka, Words and objections: esssays on the work of
W. V. Quine. Dordrecht: Reidel. Stephen Read, A philosophical approach to
inference. A.Rieger, A simple theory of conditionals. Analysis,
2006.Robert van Rooij. 2010.
‘Conversational implicatures,’Gilbert Ryle. 1954. ‘Formal and Informal logic,’ in Dilemmas,
The Tarner Lectures 1953. Cambridge: Cambridge University Press, Chapter 8. Florian Steinberger. The
normative status of logic. In Edward N. Zalta, editor, The Stanford
Encyclopedia of Philosophy. Metaphysics Research Lab, Stanford University,
spring 2017 edition, 2017.P.
F. Strawson (1952). Introduction to Logical Theory. London: Methuen.P. F.
Strawson (1986). ‘‘If’ and ‘⊃’’
R. Grandy and R. O. Warner, Philosophical Grounds of Rationality, Intentions,
Categories, Ends, repr. in his “Entity and Identity, and Other Essays. Oxford:
Clarendon PressJ.O. Urmson. Philosophical analysis: its development between the
two world wars. Oxford: Clarendon Press, 1956. R. C. S. Walker. “Conversational
implicature,” in S. W. Blackburn, Meaning, reference, and
necessity. Cambridge, Cambridge University Press, 1975, pp. 133-81A. N.
Whitehead and B. A. W. Russell, 1913. Principia Mathematica. Cambridge
University Press. Conjunctum --
conjunction, the logical operation on a pair of propositions that is typically
indicated by the coordinating conjunction ‘and’. The truth table for
conjunction is Besides ‘and’, other coordinating conjunctions, including ‘but’,
‘however’, ‘moreover’, and ‘although’, can indicate logical conjunction, as can
the semicolon ‘;’ and the comma ‘,’.
conjunction elimination. 1 The argument form ‘A and B; therefore, A or
B’ and arguments of this form. 2 The rule of inference that permits one to
infer either conjunct from a conjunction. This is also known as the rule of
simplification or 8-elimination.
conjunction introduction. 1 The argument form ‘A, B; therefore, A and B’
and arguments of this form. 2 The rule of inference that permits one to infer a
conjunction from its two conjuncts. This is also known as the rule of
conjunction introduction, 8-introduction, or adjunction. Conjunctum -- Why
Grice used inverse V as symbol for “and” Conjunctum -- De Morgan, A. prolific
British mathematician, logician, and philosopher of mathematics and logic. He is
remembered chiefly for several lasting contributions to logic and philosophy of
logic, including discovery and deployment of the concept of universe of
discourse, the cofounding of relational logic, adaptation of what are now known
as De Morgan’s laws, and several terminological innovations including the
expression ‘mathematical induction’. His main logical works, the monograph
Formal Logic 1847 and the series of articles “On the Syllogism” 184662,
demonstrate wide historical and philosophical learning, synoptic vision,
penetrating originality, and disarming objectivity. His relational logic
treated a wide variety of inferences involving propositions whose logical forms
were significantly more complex than those treated in the traditional framework
stemming from Aristotle, e.g. ‘If every doctor is a teacher, then every
ancestor of a doctor is an ancestor of a teacher’. De Morgan’s conception of
the infinite variety of logical forms of propositions vastly widens that of his
predecessors and even that of his able contemporaries such as Boole, Hamilton,
Mill, and Whately. De Morgan did as much as any of his contemporaries toward
the creation of modern mathematical logic.
-- De Morgan’s laws, the logical principles - A 8 B S - A 7 - B, - A 7 B
S - A 8 - B, - -A 8 - B S A 7 B, and - - A 7 - B S A 8 B, though the term is
occasionally used to cover only the first two. Refs.The main published source is “Studies in the Way of
Words” (henceforth, “WOW”), I (especially Essays 1 and 4), “Presupposition and
conversational implicature,” in P. Cole, and the two sets on ‘Logic and
conversation,’ in The H. P. Grice Papers, BANC.
Connective -- connected,
said of a relation R where, for any two distinct elements x and y of the
domain, either xRy or yRx. R is said to be strongly connected if, for any two
elements x and y, either xRy or yRx, even if x and y are identical. Given the
domain of positive integers, for instance, the relation ‹ is connected, since
for any two distinct numbers a and b, either a ‹ b or b ‹ a. ‹ is not strongly
connected, however, since if a % b we do not have either a ‹ b or b ‹ a. The
relation o, however, is Confucius connected 174 174 strongly connected, since either a o b
or b o a for any two numbers, including the case where a % b. An example of a relation
that is not connected is the subset relation 0, since it is not true that for
any two sets A and B, either A 0 B or B 0 A.
connectionism, an approach to modeling cognitive systems which utilizes
networks of simple processing units that are inspired by the basic structure of
the nervous system. Other names for this approach are neural network modeling
and parallel distributed processing. Connectionism was pioneered in the period
065 by researchers such as Frank Rosenblatt and Oliver Selfridge. Interest in
using such networks diminished during the 0s because of limitations encountered
by existing networks and the growing attractiveness of the computer model of
the mind according to which the mind stores symbols in memory and registers and
performs computations upon them. Connectionist models enjoyed a renaissance in
the 0s, partly as the result of the discovery of means of overcoming earlier
limitations e.g., development of the back-propagation learning algorithm by
David Rumelhart, Geoffrey Hinton, and Ronald Williams, and of the
Boltzmann-machine learning algorithm by David Ackley, Geoffrey Hinton, and
Terrence Sejnowski, and partly as limitations encountered with the computer
model rekindled interest in alternatives. Researchers employing connectionist-type
nets are found in a variety of disciplines including psychology, artificial
intelligence, neuroscience, and physics. There are often major differences in
the endeavors of these researchers: psychologists and artificial intelligence
researchers are interested in using these nets to model cognitive behavior,
whereas neuroscientists often use them to model processing in particular neural
systems. A connectionist system consists of a set of processing units that can
take on activation values. These units are connected so that particular units
can excite or inhibit others. The activation of any particular unit will be
determined by one or more of the following: inputs from outside the system, the
excitations or inhibitions supplied by other units, and the previous activation
of the unit. There are a variety of different architectures invoked in
connectionist systems. In feedforward nets units are clustered into layers and
connections pass activations in a unidirectional manner from a layer of input
units to a layer of output units, possibly passing through one or more layers
of hidden units along the way. In these systems processing requires one pass of
processing through the network. Interactive nets exhibit no directionality of
processing: a given unit may excite or inhibit another unit, and it, or another
unit influenced by it, might excite or inhibit the first unit. A number of
processing cycles will ensue after an input has been given to some or all of
the units until eventually the network settles into one state, or cycles
through a small set of such states. One of the most attractive features of
connectionist networks is their ability to learn. This is accomplished by
adjusting the weights connecting the various units of the system, thereby
altering the manner in which the network responds to inputs. To illustrate the
basic process of connectionist learning, consider a feedforward network with
just two layers of units and one layer of connections. One learning procedure
commonly referred to as the delta rule first requires the network to respond,
using current weights, to an input. The activations on the units of the second
layer are then compared to a set of target activations, and detected
differences are used to adjust the weights coming from active input units. Such
a procedure gradually reduces the difference between the actual response and
the target response. In order to construe such networks as cognitive models it
is necessary to interpret the input and output units. Localist interpretations
treat individual input and output units as representing concepts such as those
found in natural language. Distributed interpretations correlate only patterns
of activation of a number of units with ordinary language concepts. Sometimes
but not always distributed models will interpret individual units as
corresponding to microfeatures. In one interesting variation on distributed
representation, known as coarse coding, each symbol will be assigned to a
different subset of the units of the system, and the symbol will be viewed as
active only if a predefined number of the assigned units are active. A number
of features of connectionist nets make them particularly attractive for
modeling cognitive phenomena in addition to their ability to learn from
experience. They are extremely efficient at pattern-recognition tasks and often
generalize very well from training inputs to similar test inputs. They can
often recover complete patterns from partial inputs, making them good models
for content-addressable memory. Interactive networks are particularly useful in
modeling cognitive tasks in which multiple constraints must be satisfied
simultaneously, or in which the goal is to satisfy competing constraints as
well as possible. In a natural manner they can override some constraints on a
problem when it is not possible to satisfy all, thus treating the constraints
as soft. While the cognitive connectionist models are not intended to model
actual neural processing, they suggest how cognitive processes can be realized
in neural hardware. They also exhibit a feature demonstrated by the brain but
difficult to achieve in symbolic systems: their performance degrades gracefully
as units or connections are disabled or the capacity of the network is
exceeded, rather than crashing. Serious challenges have been raised to the
usefulness of connectionism as a tool for modeling cognition. Many of these
challenges have come from theorists who have focused on the complexities of
language, especially the systematicity exhibited in language. Jerry Fodor and
Zenon Pylyshyn, for example, have emphasized the manner in which the meaning of
complex sentences is built up compositionally from the meaning of components,
and argue both that compositionality applies to thought generally and that it
requires a symbolic system. Therefore, they maintain, while cognitive systems
might be implemented in connectionist nets, these nets do not characterize the
architecture of the cognitive system itself, which must have capacities for
symbol storage and manipulation. Connectionists have developed a variety of
responses to these objections, including emphasizing the importance of
cognitive functions such as pattern recognition, which have not been as
successfully modeled by symbolic systems; challenging the need for symbol
processing in accounting for linguistic behavior; and designing more complex
connectionist architectures, such as recurrent networks, capable of responding
to or producing systematic structures.
Connotatum – intension --
connotation. 1 The ideas and associations brought to mind by an expression used
in contrast with ‘denotation’ and ‘meaning’. 2 In a technical use, the
properties jointly necessary and sufficient for the correct application of the
expression in question.
Consequentia
-- consequentialism, the doctrine that the moral rightness of an act is
determined solely by the goodness of the act’s consequences. Prominent
consequentialists include J. S. Mill, Moore, and Sidgwick. Maximizing versions
of consequentialism the most common
sort hold that an act is morally right
if and only if it produces the best consequences of those acts available to the
agent. Satisficing consequentialism holds that an act is morally right if and
only if it produces enough good consequences on balance. Consequentialist
theories are often contrasted with deontological ones, such as Kant’s, which
hold that the rightness of an act is determined at least in part by something
other than the goodness of the act’s consequences. A few versions of
consequentialism are agentrelative: that is, they give each agent different
aims, so that different agents’ aims may conflict. For instance, egoistic
consequentialism holds that the moral rightness of an act for an agent depends
solely on the goodness of its consequences for him or her. However, the vast
majority of consequentialist theories have been agent-neutral and
consequentialism is often defined in a more restrictive way so that
agentrelative versions do not count as consequentialist. A doctrine is
agent-neutral when it gives to each agent the same ultimate aims, so that
different agents’ aims cannot conflict. For instance, utilitarianism holds that
an act is morally right if and only if it produces more happiness for the
sentient beings it affects than any other act available to the agent. This
gives each agent the same ultimate aim, and so is agent-neutral.
Consequentialist theories differ over what features of acts they hold to
determine their goodness. Utilitarian versions hold that the only consequences
of an act relevant to its goodness are its effects on the happiness of sentient
beings. But some consequentialists hold that the promotion of other things
matters too achievement, autonomy,
knowledge, or fairness, for instance. Thus utilitarianism, as a maximizing,
agent-neutral, happiness-based view is only one of a broad range of
consequentialist theories. consequentia
mirabilis, the logical principle that if a statement follows from its own
negation it must be true. Strict consequentia mirabilis is the principle that
if a statement follows logically from its own negation it is logically true.
The principle is often connected with the paradoxes of strict implication,
according to which any statement follows from a contradiction. Since the
negation of a tautology is a contradiction, every tautology follows from its
own negation. However, if every expression of the form ‘if p then q’ implies
‘not-p or q’ they need not be equivalent, then from ‘if not-p then p’ we can
derive ‘not-not-p or p’ and by the principles of double negation and repetition
derive p. Since all of these rules are unexceptionable the principle of
consequentia mirabilis is also unexceptionable. It is, however, somewhat
counterintuitive, hence the name ‘the astonishing implication’, which goes back
to its medieval discoverers or rediscoverers.
Consistentia --
consistency, in traditional Aristotelian logic, a semantic notion: two or more
statements are called consistent if they are simultaneously true under some
interpretation cf., e.g., W. S. Jevons, Elementary Lessons in Logic, 1870. In
modern logic there is a syntactic definition that also fits complex e.g.,
mathematical theories developed since Frege’s Begriffsschrift 1879: a set of
statements is called consistent with respect to a certain logical calculus, if
no formula ‘P & P’ is derivable from those statements by the rules of the
calculus; i.e., the theory is free from contradictions. If these definitions
are equivalent for a logic, we have a significant fact, as the equivalence
amounts to the completeness of its system of rules. The first such completeness
theorem was obtained for sentential or propositional logic by Paul Bernays in 8
in his Habilitationsschrift that was partially published as Axiomatische
Untersuchung des Aussagen-Kalküls der “Principia Mathematica,” 6 and,
independently, by Emil Post in Introduction to a General Theory of Elementary
Propositions, 1; the completeness of predicate logic was proved by Gödel in Die
Vollständigkeit der Axiome des logischen Funktionenkalküls, 0. The crucial step
in such proofs shows that syntactic consistency implies semantic consistency.
Cantor applied the notion of consistency to sets. In a well-known letter to
Dedekind 9 he distinguished between an inconsistent and a consistent
multiplicity; the former is such “that the assumption that all of its elements
‘are together’ leads to a contradiction,” whereas the elements of the latter
“can be thought of without contradiction as ‘being together.’ “ Cantor had
conveyed these distinctions and their motivation by letter to Hilbert in 7 see
W. Purkert and H. J. Ilgauds, Georg Cantor, 7. Hilbert pointed out explicitly
in 4 that Cantor had not given a rigorous criterion for distinguishing between
consistent and inconsistent multiplicities. Already in his Über den Zahlbegriff
9 Hilbert had suggested a remedy by giving consistency proofs for suitable
axiomatic systems; e.g., to give the proof of the “existence of the totality of
real numbers or in the terminology of G.
Cantor the proof of the fact that the
system of real numbers is a consistent complete set” by establishing the
consistency of an axiomatic characterization of the reals in modern terminology, of the theory of
complete, ordered fields. And he claimed, somewhat indeterminately, that this
could be done “by a suitable modification of familiar methods.” After 4,
Hilbert pursued a new way of giving consistency proofs. This novel way of
proceeding, still aiming for the same goal, was to make use of the
formalization of the theory at hand. However, in the formulation of Hilbert’s
Program during the 0s the point of consistency proofs was no longer to
guarantee the existence of suitable sets, but rather to establish the
instrumental usefulness of strong mathematical theories T, like axiomatic set
theory, relative to finitist mathematics. That focus rested on the observation
that the statement formulating the syntactic consistency of T is equivalent to
the reflection principle Pra, ‘s’ P s; here Pr is the finitist proof predicate
for T, s is a finitistically meaningful statement, and ‘s’ its translation into
the language of T. If one could establish finitistically the consistency of T,
one could be sure on finitist
grounds that T is a reliable instrument
for the proof of finitist statements. There are many examples of significant
relative consistency proofs: i non-Euclidean geometry relative to Euclidean,
Euclidean geometry relative to analysis; ii set theory with the axiom of choice
relative to set theory without the axiom of choice, set theory with the
negation of the axiom of choice relative to set theory; iii classical
arithmetic relative to intuitionistic arithmetic, subsystems of classical
analysis relative to intuitionistic theories of constructive ordinals. The
mathematical significance of relative consistency proofs is often brought out
by sharpening them to establish conservative extension results; the latter may
then ensure, e.g., that the theories have the same class of provably total
functions. The initial motivation for such arguments is, however, frequently philosophical:
one wants to guarantee the coherence of the original theory on an
epistemologically distinguished basis.
The English constitution
– an example Grice gives of a ‘vacuous name’ -- constitution, a relation
between concrete particulars including objects and events and their parts,
according to which at some time t, a concrete particular is said to be
constituted by the sum of its parts without necessarily being identical with
that sum. For instance, at some specific time t, Mt. Everest is constituted by
the various chunks of rock and other matter that form Everest at t, though at t
Everest would still have been Everest even if, contrary to fact, some
particular rock that is part of the sum had been absent. Hence, although Mt.
Everest is not identical to the sum of its material parts at t, it is
constituted by them. The relation of constitution figures importantly in recent
attempts to articulate and defend metaphysical physicalism naturalism. To
capture the idea that all that exists is ultimately physical, we may say that
at the lowest level of reality, there are only microphysical phenomena,
governed by the laws of microphysics, and that all other objects and events are
ultimately constituted by objects and events at the microphysical level.
Context – While Grice
jocularly echoes Firth with his ‘context of utterance,’ he thought the theory
of context was ‘totally lacking in context.’ H. P. Grice, “The general theory
of context,” -- contextualism, the view that inferential justification always takes
place against a background of beliefs that are themselves in no way
evidentially supported. The view has not often been defended by name, but
Dewey, Popper, Austin, and Vitters are arguably among its notable exponents. As
this list perhaps suggests, contextualism is closely related to the “relevant
alternatives” conception of justification, according to which claims to
knowledge are justified not by ruling out any and every logically possible way
in which what is asserted might be false or inadequately grounded, but by
excluding certain especially relevant alternatives or epistemic shortcomings,
these varying from one context of inquiry to another. Formally, contextualism
resembles foundationalism. But it differs from traditional, or substantive,
foundationalism in two crucial respects. First, foundationalism insists that
basic beliefs be self-justifying or intrinsically credible. True, for
contemporary foundationalists, this intrinsic credibility need not amount to
incorrigibility, as earlier theorists tended to suppose: but some degree of
intrinsic credibility is indispensable for basic beliefs. Second, substantive
foundational theories confine intrinsic credibility, hence the status of being
epistemologically basic, to beliefs of some fairly narrowly specified kinds. By
contrast, contextualists reject all forms of the doctrine of intrinsic
credibility, and in consequence place no restrictions on the kinds of beliefs
that can, in appropriate circumstances, function as contextually basic. They
regard this as a strength of their position, since explaining and defending
attributions of intrinsic credibility has always been the foundationalist’s
main problem. Contextualism is also distinct from the coherence theory of
justification, foundationalism’s traditional rival. Coherence theorists are as
suspicious as contextualists of the foundationalist’s specified kinds of basic
beliefs. But coherentists react by proposing a radically holistic model of
inferential justification, according to which a belief becomes justified
through incorporation into a suitably coherent overall system of beliefs or
“total view.” There are many well-known problems with this approach: the
criteria of coherence have never been very clearly articulated; it is not clear
what satisfying such criteria has to do with making our beliefs likely to be
true; and since it is doubtful whether anyone has a very clear picture of his
system of beliefs as a whole, to insist that justification involves comparing
the merits of competing total views seems to subject ordinary justificatory
practices to severe idealization. Contextualism, in virtue of its formal
affinity with foundationalism, claims to avoid all such problems.
Foundationalists and coherentists are apt to respond that contextualism reaps
these benefits by failing to show how genuinely epistemic justification is
possible. Contextualism, they charge, is finally indistinguishable from the
skeptical view that “justification” depends on unwarranted assumptions. Even
if, in context, these are pragmatically acceptable, epistemically speaking they
are still just assumptions. This objection raises the question whether
contextualists mean to answer the same questions as more traditional theorists,
or answer them in the same way. Traditional theories of justification are
framed so as to respond to highly general skeptical questions e.g., are we justified in any of our beliefs
about the external world? It may be that contextualist theories are or should
be advanced, not as direct answers to skepticism, but in conjunction with
attempts to diagnose or dissolve traditional skeptical problems. Contextualists
need to show how and why traditional demands for “global” justification
misfire, if they do. If traditional skeptical problems are taken at face value,
it is doubtful whether contextualism can answer them.
Continental breakfast –
Grice enjoyed a continental breakfast at Oxford, and an English breakfast in
Rome -- Continental philosophy, the gradually changing spectrum of
philosophical views that in the twentieth century developed in Continental
Europe and that are notably different from the various forms of analytic
philosophy that during the same period flourished in the Anglo- world.
Immediately after World War II the expression was more or less synonymous with
‘phenomenology’. The latter term, already used earlier in G. idealism, received
a completely new meaning in the work of Husserl. Later on the term was also
applied, often with substantial changes in meaning, to the thought of a great
number of other Continental philosophers such as Scheler, Alexander Pfander,
Hedwig Conrad-Martius, Nicolai Hartmann, and most philosophers mentioned below.
For Husserl the aim of philosophy is to prepare humankind for a genuinely
philosophical form of life, in and through which each human being gives him- or
herself a rule through reason. Since the Renaissance, many philosophers have
tried in vain to materialize this aim. In Husserl’s view, the reason was that
philosophers failed to use the proper philosophical method. Husserl’s
phenomenology was meant to provide philosophy with the method needed. Among
those deeply influenced by Husserl’s ideas the so-called existentialists must
be mentioned first. If ‘existentialism’ is construed strictly, it refers mainly
to the philosophy of Sartre and Beauvoir. In a very broad sense it refers to
the ideas of an entire group of thinkers influenced methodologically by Husserl
and in content by Marcel, Heidegger, Sartre, or Merleau-Ponty. In this case one
often speaks of existential phenomenology. When Heidegger’s philosophy became
better known at Oxford, ‘Continental philosophy’ received again a new meaning.
From Heidegger’s first publication, Being and Time 7, it was clear that his
conception of phenomenology differs from that of Husserl in several important
respects. That is why he qualified the term and spoke of hermeneutic
phenomenology and clarified the expression by examining the “original” meaning
of the Grecian words from which the term was formed. In his view phenomenology
must try “to let that which shows itself be seen from itself in the very way in
which it shows itself from itself.” Heidegger applied the method first to the
mode of being of man with the aim of approaching the question concerning the
meaning of being itself through this phenomenological interpretation. Of those
who took their point of departure from Heidegger, but also tried to go beyond
him, Gadamer and Ricoeur must be mentioned. The structuralist movement in
France added another connotation to ‘Continental philosophy’. The term
structuralism above all refers to an activity, a way of knowing, speaking, and
acting that extends over a number of distinguished domains of human activity:
linguistics, aesthetics, anthropology, psychology, psychoanalysis, mathematics,
philosophy of science, and philosophy itself. Structuralism, which became a
fashion in Paris and later in Western Europe generally, reached its high point
on the Continent between 0 and 0. It was inspired by ideas first formulated by
Russian formalism 626 and Czech structuralism 640, but also by ideas derived
from the works of Marx and Freud. In France Foucault, Barthes, Althusser, and
Derrida were the leading figures. Structuralism is not a new philosophical
movement; it must be characterized by structuralist activity, which is meant to
evoke ever new objects. This can be done in a constructive and a reconstructive
manner, but these two ways of evoking objects can never be separated. One finds
the constructive aspect primarily in structuralist aesthetics and linguistics,
whereas the reconstructive aspect is more apparent in philosophical reflections
upon the structuralist activity. Influenced by Nietzschean ideas, structuralism
later developed in a number of directions, including poststructuralism; in this
context the works of Gilles Deleuze, Lyotard, Irigaray, and Kristeva must be
mentioned. After 0 ‘Continental philosophy’ received again a new connotation:
deconstruction. At first deconstruction presented itself as a reaction against
philosophical hermeneutics, even though both deconstruction and hermeneutics
claim their origin in Heidegger’s reinterpretation of Husserl’s phenomenology.
The leading philosopher of the movement is Derrida, who at first tried to think
along phenomenological and structuralist lines. Derrida formulated his “final”
view in a linguistic form that is both complex and suggestive. It is not easy
in a few sentences to state what deconstruction is. Generally speaking one can
say that what is being deconstructed is texts; they are deconstructed to show
that there are conflicting conceptions of meaning and implication in every text
so that it is never possible definitively to show what a text really means.
Derrida’s own deconstructive work is concerned mainly with philosophical texts,
whereas others apply the “method” predominantly to literary texts. What
according to Derrida distinguished philosophy is its reluctance to face the
fact that it, too, is a product of linguistic and rhetorical figures.
Deconstruction is here that process of close reading that focuses on those
elements where philosophers in their work try to erase all knowledge of its own
linguistic and rhetorical dimensions. It has been said that if construction
typifies modern thinking, then deconstruction is the mode of thinking that
radically tries to overcome modernity. Yet this view is simplistic, since one
also deconstructs Plato and many other thinkers and philosophers of the
premodern age. People concerned with social and political philosophy who have
sought affiliation with Continental philosophy often appeal to the so-called
critical theory of the Frankfurt School in general, and to Habermas’s theory of
communicative action in particular. Habermas’s view, like the position of the
Frankfurt School in general, is philosophically eclectic. It tries to bring
into harmony ideas derived from Kant, G. idealism, and Marx, as well as ideas
from the sociology of knowledge and the social sciences. Habermas believes that
his theory makes it possible to develop a communication community without
alienation that is guided by reason in such a way that the community can stand
freely in regard to the objectively given reality. Critics have pointed out
that in order to make this theory work Habermas must substantiate a number of
assumptions that until now he has not been able to justify.
Grice’s contingency
planning -- “What is actual is not also possible” “What is necessary is not
also contingent” -- contingent, neither impossible nor necessary; i.e., both
possible and non-necessary. The modal property of being contingent is
attributable to a proposition, state of affairs, event, or more debatably an object. Muddles about the relationship
between this and other modal properties have abounded ever since Aristotle, who
initially conflated contingency with possibility but later realized that
something that is possible may also be necessary, whereas something that is
contingent cannot be necessary. Even today many philosophers are not clear
about the “opposition” between contingency and necessity, mistakenly supposing
them to be contradictory notions probably because within the domain of true
propositions the contingent and the necessary are indeed both exclusive and
exhaustive of one another. But the contradictory of ‘necessary’ is ‘non-necessary’;
that of ‘contingent’ is ‘non-contingent’, as the following extended modal
square of opposition shows: These logico-syntactical relationships are
preserved through various semantical interpretations, such as those involving:
a the logical modalities proposition P is logically contingent just when P is
neither a logical truth nor a logical falsehood; b the causal or physical
modalities state of affairs or event E is physically contingent just when E is
neither physically necessary nor physically impossible; and c the deontic
modalities act A is morally indeterminate just when A is neither morally
obligatory nor morally forbidden. In none of these cases does ‘contingent’ mean
‘dependent,’ as in the phrase ‘is contingent upon’. Yet just such a notion of
contingency seems to feature prominently in certain formulations of the
cosmological argument, all created objects being said to be contingent beings
and God alone to be a necessary or non-contingent being. Conceptual clarity is
not furthered by assimilating this sense of ‘contingent’ to the others.
contraposition, the
immediate logical operation on any categorical proposition that is accomplished
by first forming the complements of both the subject term and the predicate
term of that proposition and then interchanging these complemented terms. Thus,
contraposition applied to the categorical proposition ‘All cats are felines’
yields ‘All non-felines are non-cats’, where ‘nonfeline’ and ‘non-cat’ are,
respectively, the complements or complementary terms of ‘feline’ and ‘cat’. The
result of applying contraposition to a categorical proposition is said to be
the contrapositive of that proposition.
contraries, any pair of propositions that cannot both be true but can
both be false; derivatively, any pair of properties that cannot both apply to a
thing but that can both fail to apply to a thing. Thus the propositions ‘This
object is red all over’ and ‘This object is green all over’ are contraries, as
are the properties of being red all over and being green all over. Traditionally,
it was considered that the categorical A-proposition ‘All S’s are P’s’ and the
categorical E-proposition ‘No S’s are P’s’ were contraries; but according to De
Morgan and most subsequent logicians, these two propositions are both true when
there are no S’s at all, so that modern logicians do not usually regard the
categorical A- and E-propositions as being true contraries. contravalid, designating a proposition P in a
logical system such that every proposition in the system is a consequence of P.
In most of the typical and familiar logical systems, contravalidity coincides
with self-contradictoriness.
Rational control – the
power structure of the soul -- Grice’s intersubjective conversational control,
-- for Grice only what is under one’s control is communicated – spots mean
measles only metaphorically, the spots don’t communicate measles. An
involuntary cry does not ‘mean.’ Only a simulated cry of pain is a vehicle by
which an emissor may mean that he is in pain. an apparently causal phenomenon
closely akin to power and important for such topics as intentional action,
freedom, and moral responsibility. Depending upon the control you had over the
event, your finding a friend’s stolen car may or may not be an intentional
action, a free action, or an action for which you deserve moral credit. Control
seems to be a causal phenomenon. Try to imagine controlling a car, say, without
causing anything. If you cause nothing, you have no effect on the car, and one
does not control a thing on which one has no effect. But control need not be
causally deterministic. Even if a genuine randomizer in your car’s steering
mechanism gives you only a 99 percent chance of making turns you try to make,
you still have considerable control in that sphere. Some philosophers claim
that we have no control over anything if causal determinism is true. That claim
is false. When you drive your car, you normally are in control of its speed and
direction, even if our world happens to be deterministic.
conversational
avowal: The phrase is a Ryleism, but
Grice liked it. Grice’s point is with corrigibility or lack thereof. He recalls
his tutorials with Strawson. “I want you to bring me a paper on Friday.” “You
mean The Telegraph?” “You know what I mean.”
“But perhaps you don’t.” Grice’s favourite conversational avowal,
mentioned by Grice, is a declaration of an intention.. Grice starts using the
phrase ‘conversational avowal’ after exploring Ryle’s rather cursory
exploration of them in The Concept of Mind. This is interesting because in
general Grice is an anti-ryleist. The verb is of course ‘to avow,’ which
is ultimately a Latinate from ‘advocare.’ A processes or event of the soul is,
on the official view, supposed to be played out in a private theatre. Such an
event is known directly by the man who has them either through the faculty of
introspection or the ‘phosphorescence’ of consciousness. The subject is,
on this view, incorrigible—his avowals of the state of his soul cannot be
corrected by others—and he is infallible—he cannot be wrong about which states
he is in. The official doctrine mistakenly construes an avowals or a
report of such an episode as issuing from a special sort of observation or
perception of shadowy existents. We should consider some differences
between two sorts of 'conversational' avowals: (i) I feel a tickle and (ii) I
feel ill. If a man feels a tickle, he has a tickle, and if he has a tickle, he
feels it. But if he feels ill, he may not be ill, and if he is ill, he may
not feel ill. Doubtless a man’s feeling ill is some evidence for his being
ill. But feeling a tickle is not evidence for his having a tickle, any more
than striking a blow is evidence for the occurrence of a blow. In ‘feel a
tickle’ and ‘strike a blow’, ‘tickle’ and ‘blow’ are cognate accusatives to the
verbs ‘feel’ and ‘strike’. The verb and its accusative are two expressions
for the same thing, as are the verbs and their accusatives in ‘I dreamt a
dream’ and ‘I asked a question’. But ‘ill’ and ‘capable of climbing the tree’
are not cognate accusatives to the verb ‘to feel.' So they are not in grammar
bound to signify feelings, as ‘tickle’ is in grammar bound to signify a
feeling. Another purely grammatical point shows the same thing. It is
indifferent whether I say ‘I feel a tickle’ or ‘I have a tickle’; but ‘I have .
. .’ cannot be completed by ‘. . . ill’, (cf. ‘I have an illness’), ‘. . .
capable of climbing the tree’, (cf. I have a capability to climb that tree’) ‘.
. . happy’ (cf. ‘I have a feeling of happiness’ or ‘I have happiness in my
life’) or ‘. . . discontented’ (cf. ‘I have a feeling of strong discontent
towards behaviourism’). If we try to restore the verbal parallel by bringing in
the appropriate abstract nouns, we find a further incongruity; ‘I feel
happiness’(I feel as though I am experiencing happiness), ‘I feel illness’ (I
feel as though I do have an illness’) or ‘I feel ability to climb the tree’ (I
feel that I am endowed with the capability to climb that tree), if they mean
anything, they do not mean at all what a man means by uttering ‘I feel happy,’
or ‘I feel ill,’ or ‘I feel capable of climbing the tree’. On the other
hand, besides these differences between the different uses of ‘I feel . . .’
there are important CONVERSATIONAL analogies as well. If a man says that
he has a tickle, his co-conversationalist does not ask for his evidence, or
requires him to make quite sure. Announcing a tickle is not proclaiming the
results of an investigation. A tickle is not something established by
careful witnessing, or something inferred from a clue, nor do we praise for his
powers of observation or reasoning a man who let us know that he feels tickles,
tweaks and flutters. Just the same is true of avowals of moods. If a man
makes a conversational contribution, such as‘I feel bored’, or ‘I feel
depressed’, his co-conversationalist does not usually ask him for his evidence,
or request him to make sure. The co-conversationalist may accuse the man of
shamming to him or to himself, but the co-conversationalist does not accuse him
of having been careless in his observations or rash in his inferences, since a
co-conversationalist would not usually think that his conversational avowal is
a report of an observation or a conclusion. He has not been a good or a
bad detective; he has not been a detective at all. Nothing would surprise us
more than to hear him say ‘I feel depressed’ in the alert and judicious tone of
voice of a detective, a microscopist, or a diagnostician, though this tone of
voice is perfectly congruous with the NON-AVOWAL past-tense ‘I WAS feeling
depressed’ or the NON-AVOWAL third-person report, ‘HE feels depressed’. If the
avowal is to do its conversational job, it must be said in a depressed tone of
voice. The conversational avowal must be blurted out to a sympathizer, not reported
to an investigator. Avowing ‘I feel depressed’ is doing one of the things, viz.
one CONVERSATIONAL thing, that depression is the mood to do. It is not a piece
of scientific premiss-providing, but a piece of ‘conversational moping.’That is
why, if the co-conversationalist is suspicious, he does not ask ‘Fact or
fiction?’, ‘True or false?’, ‘Reliable or unreliable?’, but ‘Sincere or
shammed?’ The CONVERSATIONAL avowal of moods requires not acumen, but
openness. It comes from the heart, not from the head. It is not
discovery, but voluntary non-concealment. Of course people have to learn how to
use avowal expressions appropriately and they may not learn these lessons very
well. They learn them from ordinary discussions of the moods of others and from
such more fruitful sources as novels and the theatre. They learn from the same
sources how to cheat both other people and themselves by making a sham
conversational avowal in the proper tone of voice and with the other proper
histrionic accompaniments. If we now raise the question ‘How does a man find
out what mood he is in?’ one can answer that if, as may not be the case, he
finds it out at all, he finds it out very much as we find it out. As we have
seen, he does not groan ‘I feel bored’ because he has found out that he is
bored, any more than the sleepy man yawns because he has found out that he is
sleepy. Rather, somewhat as the sleepy man finds out that he is sleepy by
finding, among other things, that he keeps on yawning, so the bored man finds
out that he is bored, if he does find this out, by finding that among other
things he glumly says to others and to himself ‘I feel bored’ and ‘How bored I
feel’. Such a blurted avowal is not merely one fairly reliable index among
others. It is the first and the best index, since being worded and voluntarily
uttered, it is meant to be heard and it is meant to be understood. It calls for
no sleuth-work.In some respects a conversational avowal of a moods, like ‘I
feel cheerful,’ more closely resemble announcements of sensations like ‘I feel
a tickle’ than they resemble utterances like ‘I feel better’ or ‘I feel capable
of climbing the tree’. Just as it would be absurd to say ‘I feel a tickle but
maybe I haven’t one’, so, in ordinary cases, it would be absurd to say ‘I feel cheerful
but maybe I am not’. But there would be no absurdity in saying ‘I FEEL better
but, to judge by the doctor’s attitude, perhaps I am WORSE’, or ‘I do FEEL as
if I am capable of climbing the tree but maybe I cannot climb it.’This
difference can be brought out in another way. Sometimes it is natural to say ‘I
feel AS IF I could eat a horse’, or ‘I feel AS IF my temperature has returned
to normal’. But, more more immediate conversational avowals, it would seldom if
ever be natural to say ‘I feel AS IF I were in the dumps’, or ‘I feel AS IF I
were bored’, any more than it would be natural to say ‘I feel AS IF I had a
pain’. Not much would be gained by discussing at length why we use ‘feel’ in
these different ways. There are hosts of other ways in which it is also used. I
can say ‘I felt a lump in the mattress’, ‘I felt cold’, ‘I felt queer’, ‘I felt
my jaw-muscles stiffen’, ‘I felt my gorge rise’, ‘I felt my chin with my
thumb’, ‘I felt in vain for the lever’, ‘I felt as if something important was
about to happen’, ‘I felt that there was a flaw somewhere in the argument’, ‘I
felt quite at home’, ‘I felt that he was angry’. A feature common to most
of these uses of ‘feel’ is that the utterer does not want further questions to
be put. They would be either unanswerable questions, or unaskable questions.
That he felt it is enough to settle some debates.That he merely felt it is
enough to show that debates should not even begin. Names of moods, then, are
not the names of feelings. But to be in a particular mood is to be in the mood,
among other things, to feel certain sorts of feelings in certain sorts of
situations. To be in a lazy mood, is, among other things, to tend to have
sensations of lassitude in the limbs when jobs have to be done, to have cosy
feelings of relaxation when the deck-chair is resumed, not to have electricity
feelings when the game begins, and so forth. But we are not thinking
primarily of these feelings when we say that we feel lazy; in fact, we seldom
pay much heed to sensations of these kinds, save when they are abnormally
acute. Is a name of a mood a name
of an emotion? The only tolerable reply is that of course they are, in that
some people some of the time use ‘emotion’. But then we must add that in this
usage an emotion is not something that can be segregated from thinking,
daydreaming, voluntarily doing things, grimacing or feeling pangs and itches.
To have the emotion, in this usage, which we ordinarily refer to as ‘being
bored’, is to be in the mood to think certain sorts of thoughts, and not to
think other sorts, to yawn and not to chuckle, to converse with stilted
politeness, and not to talk with animation, to feel flaccid and not to feel
resilient. Boredom is not some unique distinguishable ingredient, scene or
feature of all that its victim is doing and undergoing. Rather it is the
temporary complexion of that totality. It is not like a gust, a sunbeam, a
shower or the temperature; it is like the morning’s weather. An unstudied
conversational utterance may embody an explicit interest phrase, or a
conversational avowal, such as ‘I want it’, ‘I hope so’, ‘That’s what I
intend’, ‘I quite dislike it’, ‘Surely I am depressed’, ‘I do wonder, too’, ‘I
guess so’ and ‘I am feeling hungry.’The surface grammar (if not logical form)
makes it tempting to misconstrue all the utterances as a description. But in
its primary employment such a conversational avowal as ‘I want it’ is not used
to convey information.‘I want it’ is used to make a request or demand. ‘I want
it’ is no more meant as a contribution to general knowledge than ‘please’. For
a co-conversationalist to respond with the tag ‘Do you?’ or worse, as Grice’s
tutee, with ‘*how* do you *know* that you want it?’ is glaringly inappropriate.
Nor, in their primary employment, are conversational avowals such as ‘I hate
it’ or ‘That’s what I I intend’ used for the purpose of telling one’s addressee
facts about the utterer; or else we should not be surprised to hear them
uttered in the cool, informative tones of voice in which one says ‘HE hates it’
and ‘That’s what he intends’. We expect a conversational avowal, on the
contrary, to be spoken in a revolted and a resolute tone of voice respectively.
It is an utterances of a man in a revolted and resolute frame of mind. A
conversational avowal is a thing said in detestation and resolution and not a
thing said in order to advance biographical knowledge about detestations and
resolutions. A man who notices the unstudied utterances of the utterer,
who may or may not be himself, is, if his interest in the utterer has the
appropriate direction, especially well situated to pass comments upon the
qualities and frames of mind of its author.‘avowal’ as a philosophical lexeme
may not invite an immediate correlate in the Graeco-Roman, ultimately Grecian,
tradition. ‘Confessio’ springs to mind, but this is not what Grice is thinking
about. He is more concerned with issues of privileged access and
incorrigibility, or corrigibility, rather, as per the alleged immediacy of a
first-person report of the form, “I feel that …” . Grice does use ‘avowal’
often especially in the early stages, when the logical scepticism about
incorrigibility comes under attack. Just to be different, Grice is interested
in the corrigibility of the avowal. The issue is of some importance in his
account of the act of communication, and how one can disimplicate what one
means. Grice loves to play with his tutee doubting as to whether he means that
p or q. Except at Oxford, the whole thing has a ridiculous ring to it. I want
you to bring me a paper by Friday. You mean the newspaper? You very well know
what I mean. But perhaps you do not. Are you sure you mean a philosophy paper
when you utter, ‘I want you to bring a paper by Friday’? As Grice notes, in
case of self-deception and egcrateia, it may well be that the utterer does not
know what he desires, if not what he intends, if anything. Freud and Foucault
run galore. The topic will interest a collaborator of Grice’s, Pears, with his
concept of ‘motivated irrationality.’ Grice likes to discuss a category
mistake. I may be categorically mistaken but I am not categorically
confused. Now when it comes to avowal-avowal, it is only natural that if he is
interested in Aristotle on ‘hedone,’ Grice would be interested in
Aristotle on ‘lupe.’ This is very philosophical, as Urmson agrees. Can one
‘fake’ pain? Why would one fake pain? Oddly, this is for Grice the origin of
language. Is pleasure just the absence of pain? Liddell and Soctt have “λύπη”
and render it as pain of body, oἡδον; also, sad plight or condition, but also
pain of mind, grief; “ά; δῆγμα δὲ λύπης οὐδὲν ἐφ᾽ ἧπαρ προσικνεῖται; τί γὰρ
καλὸν ζῆν βίοτον, ὃς λύπας φέρει; ἐρωτικὴ λ.’ λύπας προσβάλλειν;” “λ. φέρειν
τινί; oχαρά.” Oddly, Grice goes back to pain in Princeton, since it is explored
by Smart in his identity thesis. Take pain. Surely, Grice tells the
Princetonians, it sounds harsh, to echo Berkeley, to say that it is the brain
of Smith being in this or that a state which is justified by insufficient
evidence; whereas it surely sounds less harsh that it is the C-fibres that
constitute his ‘pain,’ which he can thereby fake. Grice distinguishes between a
complete unstructured utterance token – “Ouch” – versus a complete
syntactically structured erotetic utterance of the type, “Are you in pain?”. At
the Jowett, Corpus Barnes has read Ogden and says ‘Ouch’ (‘Oh’) bears an
‘emotional’ or ‘emotive’ communicatum provided there is an intention there
somewhere. Otherwise, no communicatum occurs. But if there is an intention, the
‘Oh’ can always be a fake. Grice distinguishes between a ‘fake’ and a ‘sneak.’
If U intends A to perceive ‘Oh’ as a fake, U means that he is in pain. If there
is a sneaky intention behind the utterance, which U does NOT intend his A to
recognise, there is no communicatum. Grice criticises emotivism as rushing
ahead to analyse a nuance before exploring what sort of a nuance it is. Surely
there is more to the allegedly ‘pseudo-descriptive’ ‘x is good,’ than U meaning
that U emotionally approves of x. In his ‘myth,’ Grice uses pain magisterially
as an excellent example for a privileged-access allegedly incorrigible avowal,
and stage 0 in his creature progression. By uttering ‘Oh!,’ under voluntary
control, Barnes means, iconically, that he is in pain. Pain fall under the
broader keyword: emotion, as anger does. Cf. Aristotle on the emotion in De
An., Rhet., and Eth. Nich. Knowing that at Oxford, if you are a classicist, you
are not a philosopher, Grice never explores the Stoic, say, approach to pain,
or lack thereof (“Which is good, since Walter Pater did it for me!”). Refs.:
“Can I have a pain in my tail?” The H. P. Grice Papers, BANC MSS 90/135c, The
Bancroft Library, The University of California, Berkeley.
conversational benevolence: In Grice it’s not benevolence per
se but as a force in a two-force model, with self-love on the other side. The
fact that he later subsumed everything under ONE concept: that of co-operation
(first helpfulness) testifies that he is placing more conceptual strength on
‘benevolence’ than ‘self love.’ But the self-love’ remains in all the caveats
and provisos that Grice keeps guarding his claims with: ‘ceteris paribus,’
‘provided there’s not much effort involved,’ ‘if no unnecessary trouble
arises,’ and so on. It’s never benevolence simpliciter or tout court. When it
comes to co-operation, the self-love remains: the mutual goal of that
co-operation is in the active and the passive voice – You expect me to be
helpful as much as I expect you to be helpful. We are in this together. The
active/passive voice formulation is emphatic in Grice: informing AND BEING
INFORMED; influencing AND BEING INFLUENCED. The self-love goes: I won’t inform
you unless you’ll inform me. I won’t influence you unless you influence me. The
‘influence’ bit does not seem to cooperative. But the ‘inform’ side does. By
‘inform,’ the idea is that the psi-transmission concerns a true belief. “I’ll
be truthful if you will.” This is the sort of thing that Nietzsche found
repugnant and identified with the golden rule was totally immoral. – It was felt
by Russell to be immoral enough that he cared to mention in a letter to The
Times about how abusive Nietzsche can be – yet what a gem “Beyond good and
evil” still is! In the hypocritical milieu that Grice expects his tuttees know
they are engaged in, Grice does not find Nietzsche pointing to a repugnant
fact, but a practical, even jocular way of taking meta-ethics in a light way. There
is nothing other-oriented about benevolence. What Grice needs is conversational
ALTRUISM, or helpfulness – ‘cooperation’ has the advantage, with the ‘co-’, of
avoiding the ‘mutuality’ aspect, which is crucial (“What’s the good of helping
you – I’m not your servant! – if thou art not going to help me!” It may be said
that when Butler uses ‘benevolentia’ he means others. “It is usually understood
that one is benevolent towards oneself, if that makes sense.” Grice writes.
Then there’s Smith promising Jones a job – and the problem that comes with it.
For Grice, if Smith promised a job to Jones, and Jones never gets it – “that’s Jones’s
problem.” So we need to distinguish beneficentia and benevolentia. The opposite
is malevolentia and maleficientia. Usually Grice states his maxims as
PROHIBITIONS: “Do not say what you believe to be false” being the wittiest! So,
he might just as well have appealed to or invoked a principle of absence of
conversational ill-will. Grice uses ‘conversational benevolence’ narrowly, to
refer to the assumption that conversationalists will agree to make a
contribution appropriate to the shared purposes of the exhcnage. It contrasts
with the limiting conversational self-love, which is again taken narrowly to
indicate that conversationalists are assumed to be conversationally
‘benevolent,’ in the interpretation above, provided doing that does not get
them into unnecessary trouble. The type of rationality that Grice sees in
conversational is one that sees conversation as ‘rational co-operation.’ So it
is obvious that he has to invoke some level of benevolence. When tutoring his
rather egoistic tutees he had to be careful, so he hastened to add a principle
of conversational self-love. It was different when lecturing outside a
tutorial! In fact ‘benevolence’ here is best understood as ‘altruism’. So, if
there is a principle of conversational egoism, there is a correlative principle
of conversational altruism. If Grice uses ‘self-love,’ there is nothing about
‘love,’ in ‘benevolence.’ Butler may have used ‘other-love’! Even if of course
we must start with the Grecians! We must not forget that Plato and Aristotle
despised "autophilia", the complacency and self-satisfaction making
it into the opposite of "epimeleia heautou” in Plato’s Alcibiades.
Similarly, to criticize Socratic ethics as a form of egoism in opposition to a
selfless care of others is inappropriate. Neither a self-interested seeker of
wisdom nor a dangerous teacher of self-love, Socrates, as the master of
epimeleia heautou, is the hinge between the care of self and others. One has to
be careful here. A folk-etymological connection between ‘foam’ may not be
needed – when the Romans had to deal with Grecian ‘aphrodite.’ This requires
that we look for another linguistic botany for Grecian ‘self-love’ that Grice
opposes to ‘benevolentia.’ Hesiod derives Aphrodite from “ἀφρός,” ‘sea-foam,’ interpreting
the name as "risen from the foam", but most modern scholars regard
this as a spurious folk etymology. Early modern scholars of classical mythology
attempted to argue that Aphrodite's name was of Griceain or Indo-European
origin, but these efforts have now been mostly abandoned. Aphrodite's name is
generally accepted to be of non-Greek, probably Semitic, origin, but its exact
derivation cannot be determined. Scholars in the late nineteenth and early
twentieth centuries, accepting Hesiod's "foam" etymology as genuine,
analyzed the second part of Aphrodite's name as -odítē "wanderer" or -dítē
"bright". Janda, also accepting Hesiod's etymology, has argued in
favor of the latter of these interpretations and claims the story of a birth
from the foam as an Indo-European mytheme. Similarly, an Indo-European compound
abʰor-, very" and dʰei- "to shine" have been proposed, also
referring to Eos. Other have argued that these hypotheses are unlikely since
Aphrodite's attributes are entirely different from those of both Eos and the
Vedic deity Ushas.A number of improbable non-Greek etymologies have also been
suggested. One Semitic etymology compares Aphrodite to the Assyrian ‘barīrītu,’
the name of a female demon that appears in Middle Babylonian and Late
Babylonian texts. Hammarström looks to Etruscan, comparing eprϑni
"lord", an Etruscan honorific loaned into Greek as πρύτανις.This
would make the theonym in origin an honorific, "the lady".Most
scholars reject this etymology as implausible, especially since Aphrodite
actually appears in Etruscan in the borrowed form Apru (from Greek Aphrō, clipped
form of Aphrodite). The medieval Etymologicum Magnum offers a highly contrived
etymology, deriving Aphrodite from the compound habrodíaitos (ἁβροδίαιτος),
"she who lives delicately", from habrós and díaita. The alteration
from b to ph is explained as a "familiar" characteristic of Greek
"obvious from the Macedonians". It is much easier with the Romans. Lewis and Short have ‘ămor,’ old form “ămŏs,”
“like honos, labos, colos, etc.’ obviously from ‘amare,’ and which they render
as ‘love,’ as in Grice’s “conversational self-love.” Your tutor will reprimand
you if you spend too much linguistic botany on ‘eros.’ “Go straight to
‘philos.’” But no. There are philosophical usages of ‘eros,’ especially when it
comes to the Grecian philosophers Grice is interested in: Aristotle reading
Plato, which becomes Ariskant reading Plathegel. So, Liddell and Scott have
“ἔρως” which of course is from a verb, or two: “ἕραμαι,” “ἐράω,” and which they
render as “love, mostly of the sexual passion, ““θηλυκρατὴς ἔ.,” “ἐρῶσ᾽ ἔρωτ᾽
ἔκδημον,” “ἔ. τινός love for one, S.Tr.433, “παίδων” E. Ion67, and “generally,
love of a thing, desire for it,” ““πατρῴας γῆς” “δεινὸς εὐκλείας ἔ.” “ἔχειν
ἔμφυτον ἔρωτα περί τι” Plato, Lg. 782e ; “πρὸς τοὺς λόγους” (love of law),
“ἔρωτα σχὼν τῆς Ἑλλάδος τύραννος γενέσθαι” Hdt.5.32 ; ἔ. ἔχει με c. inf.,
A.Supp.521 ; “θανόντι κείνῳ συνθανεῖν ἔρως μ᾽ ἔχει” S.Fr.953 ; “αὐτοῖς ἦν ἔρως
θρόνους ἐᾶσθαι” Id.OC367 ; ἔ. ἐμπίπτει μοι c. inf., A.Ag.341, cf. Th.6.24 ; εἰς
ἔρωτά τινος ἀφικέσθαι, ἐλθεῖν, Antiph.212.3,Anaxil.21.5 : pl., loves, amours,
“ἀλλοτρίων” Pi.N.3.30 ; “οὐχ ὅσιοι ἔ.” E.Hipp.765 (lyr.) ; “ἔρωτες ἐμᾶς πόλεως”
Ar.Av.1316 (lyr.), etc. ; of dolphins, “πρὸς παῖδας” Arist.HA631a10 :
generally, desires, S.Ant.617 (lyr.). 2. object of love or desire, “ἀπρόσικτοι
ἔρωτες” Pi.N.11.48, cf. Luc.Tim.14. 3. passionate joy, S.Aj.693 (lyr.); the god
of love, Anacr.65, Parm.13, E.Hipp.525 (lyr.), etc.“Έ. ἀνίκατε μάχαν” S.Ant.781
(lyr.) : in pl., Simon.184.3, etc. III. at Nicaea, a funeral wreath, EM379.54.
IV. name of the κλῆρος Ἀφροδίτης, Cat.Cod.Astr.1.168 ; = third κλῆρος,
Paul.Al.K.3; one of the τόποι, Vett.Val.69.16. And they’ll point to you that
the Romans had ‘amor’ AND ‘cupidus’ (which they meant as a transliteration of
epithumia). If for Kant and Grice it is the intention that matters, ill-will
counts. If Smith does not want Jones have a job, Smith has ill-will towards
Jones. This is all Kant and Grice need to call Smith a bad person. It means it
is the ill-will that causes Joness not having a job. A conceptual elucidation.
Interesting from a historical point of view seeing that Grice had introduced a
principle of conversational benevolence (i.e. conversational goodwill) pretty
early. Malevolentia was over-used by Cicero, translating the Grecian. Grice
judges that if Jones fails to get the job that benevolent Smith promised, Smith
may still be deemed, for Kant, if not Aristotle, to have given him the
job. A similar elucidation was carried by Urmson with his idea of
supererogation (heroism and sainthood). For a hero or saint, someones goodwill
but not be good enough! Which does not mean it is ill, either! Conversational
benevolence -- Self-love Philosophical theology -- Edwards, J., philosopher and
theologian. He was educated at Yale, preached in New York City, and in 1729
assumed a Congregational pastorate in Northampton, Massachusetts, where he
became a leader in the Great Awakening. Because of a dispute with his
parishioners over qualifications for communion, he was forced to leave in 1750.
In 1751, he took charge of congregations in Stockbridge, a frontier town sixty
miles to the west. He was elected third president of Princeton in 1757 but died
shortly after inauguration. Edwards deeply influenced Congregational and
Presbyterian theology in America for over a century, but had little impact on
philosophy. Interest in him revived in the middle of the twentieth century,
first among literary scholars and theologians and later among philosophers.
While most of Edwards’s published work defends the Puritan version of Calvinist
orthodoxy, his notebooks reveal an interest in philosophical problems for their
own sake. Although he was indebted to Continental rationalists like
Malebranche, to the Cambridge Platonists, and especially to Locke, his own
contributions are sophisticated and original. The doctrine of God’s absolute
sovereignty is explicated by occasionalism, a subjective idealism similar to
Berkeley’s, and phenomenalism. According to Edwards, what are “vulgarly” called
causal relations are mere constant conjunctions. True causes necessitate their
effects. Since God’s will alone meets this condition, God is the only true
cause. He is also the only true substance. Physical objects are collections of
ideas of color, shape, and other “corporeal” qualities. Finite minds are series
of “thoughts” or “perceptions.” Any substance underlying perceptions, thoughts,
and “corporeal ideas” must be something that “subsists by itself, stands
underneath, and keeps up” physical and mental qualities. As the only thing that
does so, God is the only real substance. As the only true cause and the only
real substance, God is “in effect being in general.” God creates to communicate
his glory. Since God’s internal glory is constituted by his infinite knowledge
of, love of, and delight in himself as the highest good, his “communication ad
extra” consists in the knowledge of, love of, and joy in himself which he
bestows upon creatures. The essence of God’s internal and external glory is
“holiness” or “true benevolence,” a disinterested love of being in general
i.e., of God and the beings dependent on him. Holiness constitutes “true
beauty,” a divine splendor or radiance of which “secondary” ordinary beauty is
an imperfect image. God is thus supremely beautiful and the world is suffused
with his loveliness. Vindications of Calvinist conceptions of sin and grace are
found in Freedom of the Will 1754 and Original Sin 1758. The former includes
sophisticated defenses of theological determinism and compatibilism. The latter
contains arguments for occasionalism and interesting discussions of identity.
Edwards thinks that natural laws determine kinds or species, and kinds or
species determine criteria of identity. Since the laws of nature depend on
God’s “arbitrary” decision, God establishes criteria of identity. He can thus,
e.g., constitute Adam and his posterity as “one thing.” Edwards’s religious
epistemology is developed in A Treatise Concerning Religious Affections 1746
and On the Nature of True Virtue 1765. The conversion experience involves the
acquisition of a “new sense of the heart.” Its core is the mind’s apprehension
of a “new simple idea,” the idea of “true beauty.” This idea is needed to
properly understand theological truths. True Virtue also provides the fullest
account of Edwards’s ethics a moral
sense theory that identifies virtue with benevolence. Although indebted to
contemporaries like Hutcheson, Edwards criticizes their attempts to construct
ethics on secular foundations. True benevolence embraces being in general.
Since God is, in effect, being in general, its essence is the love of God. A
love restricted to family, nation, humanity, or other “private systems” is a
form of self-love. Refs.: The source is Grice’s seminar
in the first set on ‘Logic and conversation.’ The H. P. Grice Papers, BANC.
conversational category: used jocularly by Grice. But can it be used
non-jocularly? How can the concept of ‘category,’ literally, apply to what
Grice says it applies, so that we have, assuming Kant is using ‘quantity,’
‘quality,’ ‘relation’ and ‘mode,’ as SUPRA-categories (functions, strictly) for
his twelve categories? Let’s revise, the quantity applies to the quantification
(in Frege’s terms) or what Boethius applied to Aristotle’s posotes – and there
are three categories involved, but the three deal with the ‘quantum: ‘every,’
‘some,’ and ‘one.’ ‘some’ Russell would call an indefinite. Strictly, if Grice
wants to have a category of conversational quantity – it should relate to the
‘form’ of the ‘conversational move.’ “Every nice girl loves a sailor” would be
the one with most ‘quantity.’ Grice sees a problem there, and would have that
rather translated as ‘The altogether nice girl loves the one-at-a-time sailor.’
But that would be the most conversational move displaying ‘most quantity.’ (It
can be argued it isn’t). When it comes to the category of conversational quality,
the three categories by Kant under the ‘function’ of qualitas involves the well
known trio, the affirmative, the negative, and the infinite. In terms of the
‘quality’ of a conversational move, it may be argued that a move in negative
form (as in Grice, “I’m not hearing any noise,” “That pillar box is not blue”
seem to provide ‘less’ quality than the affirmative counterparts. But as in
quantity, it is not sure Kant has some ordering in mind. It seems he does. It
seems he ascribes more value to the first category in each of the four
functions. When it comes to the category of conversational relation, the
connection with Kant could be done. Since this involves the categoric, the
hypothetic, and the disjunctive. So here we may think that a conversational move
will be either a categoric response – A: Mrs Smith is a wind bag. B: The
weather has been delightful. Or a hypothetical. A: Mrs Smith is a wind bag. B:
If that’s what you think. Or a dijunctive: Mrs. Smith is a wind bag. B: Or she
is not. When it comes, lastly, to the category of conversational mode, we have
just three strict categories under this ‘function’ in Kant, which relate to the
strength of the copula: ‘must be,’ must not be’ and ‘may.’ A conversational
move that states a necessity would be the expected move. “You must do it.”
Impossibility involves negation, so it is more problematic. And ‘may be’ is an
open conversational move. So there IS a way to justify the use of
‘conversational category’ to apply to the four functions that Kant decides the
Aristotelian categories may subsumed into. He knows that Kant has TWELVE
categories, but he keeps lecturing the Harvardites about Kant having FOUR
categories. On top, he finds ‘modus’ boring, and, turned a manierist, changes
the idiom. This is what Austin called a ‘philosophical hack’ searching for some
para-philosophy! One has to be careful here. Grice does speak of this or that
‘conversational category.’ Seeing that he is ‘echoing,’ as he puts it,
Ariskant, we migt just as well have an entry for each of the four. These would
be the category of conversational quantity, the category of conversational
quality, the category of conversational relation, and the category of
conversational modality. Note that in this rephrasing Grice applies
‘conversational’ directly to the category. As Boethius pointed out (and Grice
loved to read Minio-Paullelo’s edition of Boethus’s commentary on the
Categories), the motivation by Aristotle to posit this or that category was
expository. A mind cannot know a multitude of things, so we have to ‘reduce’
things. It is important to note that while ‘quantitas,’ ‘qualitas’ ‘relatio’
and ‘modus’ are used by Kant, he actually augments the number of categories.
These four would be supra-categories. The sub-categories, or categories themselves
turn out to be twelve. Kant proposed 12 categories: unity, plurality, and
totality for concept of quantity; reality, negation, and limitation, for the
concept of quality; inherence and subsistence, cause and effect, and community
for the concept of relation; and possibility-impossibility,
existence-nonexistence, and necessity and contingency. Kategorien sind
nach Kant apriorisch und unmittelbar gegeben. Sie sind Werkzeuge des Urteilens
und Werkzeuge des Denkens. Als solche dienen sie nur der Anwendung und haben
keine Existenz. Sie bestehen somit nur im menschlichen Verstand. Sie sind nicht
an Erfahrung gebunden.[5] Durch ihre Unmittelbarkeit sind sie auch nicht an
Zeichen gebunden.[6] Kants erkenntnistheoretisches Ziel ist es, über
die Bedingungen der Geltungskraft von Urteilen Auskunft zu geben. Ohne diese
Auskunft können zwar vielerlei Urteile gefällt werden, sie müssen dann
allerdings als „systematische Doktrin(en)“ bezeichnet werden.[7] Kant kritisiert damit das rein analytische Denken
der Wissenschaft als falsch und stellt ihm die Notwendigkeit des
synthetisierenden Denkens gegenüber.[8] Kant begründet die Geltungskraft mit dem Transzendentalen Subjekt.[9] Das Transzendentalsubjekt ist dabei ein reiner
Reflexionsbegriff, welcher das synthetisierende Dritte darstellt (wie in
späteren Philosophien Geist (Hegel), Wille, Macht, Sprache und Wert (Marx)),
das nicht durch die Sinne wahrnehmbar ist. Kant sucht hier die Antwort auf die
Frage, wie der Mensch als vernunftbegabtes Wesen konstituiert werden kann,
nicht in der Analyse, sondern in einer Synthesis.[10]Bei Immanuel Kant, der somit als bedeutender Erneuerer der bis dahin
„vorkritischen“ Kategorienlehre gilt, finden sich zwölf „Kategorien der reinen
Vernunft“. Für Kant sind diese Kategorien Verstandesbegriffe, nicht aber Ausdruck des tatsächlichen Seins
der Dinge an sich. Damit wandelt sich die ontologische Sichtweise der Tradition in eine erkenntnistheoretische Betrachtung, weshalb Kants „kritische“
Philosophie (seit der Kritik der
reinen Vernunft) oft
auch als „Kopernikanische
Wende in der
Philosophie“ bezeichnet wird.Quantität, Qualität, Relation und Modalität sind die vier grundlegenden Urteilsfunktionen des
Verstandes, nach denen die Kategorien gebildet werden. Demnach sind z. B.
der Urteilsfunktion „Quantität“ die Kategorien bzw. Urteile „Einheit“,
„Vielheit“ und „Allheit“ untergeordnet, und der Urteilsfunktion „Relation“ die
Urteile der „Ursache“ und der „Wirkung“.Siehe auch: Kritik der
reinen Vernunft und Transzendentale
AnalytikBereits
bei Friedrich
Adolf Trendelenburg findet
man den Hinweis auf die verbreitete Kritik, dass Kant die den Kategorien
zugrunde liegenden Urteilsformen nicht systematisch hergeleitet und damit als
notwendig begründet hat. Einer der Kritikpunkte ist dabei, dass die Kategorien
sich teilweise auf Anschauungen (Einzelheit, Realität, Dasein), teilweise auf
Abstraktionen wie Zusammenfassen, Begrenzen oder Begründen (Vielheit, Allheit,
Negation, Limitation, Möglichkeit, Notwendigkeit) beziehen.
Conversational compact --
Conversational pact -- Grice’s conversational quasi-contractualism --
contractarianism, a family of moral and political theories that make use of the
idea of a social contract. Traditionally philosophers such as Hobbes and Locke
used the social contract idea to justify certain conceptions of the state. In
the twentieth century philosophers such as John Rawls have used the social
contract notion to define and defend moral conceptions both conceptions of political
justice and individual morality, often but not always doing so in addition to
developing social contract theories of the state. The term ‘contractarian’ most
often applies to this second type of theory. There are two kinds of moral
argument that the contract image has spawned, the first rooted in Hobbes and
the second rooted in Kant. Hobbesians start by insisting that what is valuable
is what a person desires or prefers, not what he ought to desire or prefer for
no such prescriptively powerful object exists; and rational action is action
that achieves or maximizes the satisfaction of desires or preferences. They go
on to insist that moral action is rational for a person to perform if and only
if such action advances the satisfaction of his desires or preferences. And
they argue that because moral action leads to peaceful and harmonious living
conducive to the satisfaction of almost everyone’s desires or preferences,
moral actions are rational for almost everyone and thus “mutually agreeable.”
But Hobbesians believe that, to ensure that no cooperative person becomes the
prey of immoral aggressors, moral actions must be the conventional norms in a
community, so that each person can expect that if she behaves cooperatively,
others will do so too. These conventions constitute the institution of morality
in a society. So the Hobbesian moral theory is committed to the idea that
morality is a human-made institution, which is justified only to the extent
that it effectively furthers human interests. Hobbesians explain the existence
of morality in society by appealing to the convention-creating activities of
human beings, while arguing that the justification of morality in any human
society depends upon how well its moral conventions serve individuals’ desires
or preferences. By considering “what we could agree to” if we reappraised and
redid the cooperative conventions in our society, we can determine the extent
to which our present conventions are “mutually agreeable” and so rational for
us to accept and act on. Thus, Hobbesians invoke both actual agreements or
rather, conventions and hypothetical agreements which involve considering what
conventions would be “mutually agreeable” at different points in their theory;
the former are what they believe our moral life consists in; the latter are
what they believe our moral life should consist in i.e., what our actual moral life should
model. So the notion of the contract does not do justificational work by itself
in the Hobbesian moral theory: this term is used only metaphorically. What we
“could agree to” has moral force for the Hobbesians not because make-believe
promises in hypothetical worlds have any binding force but because this sort of
agreement is a device that merely reveals how the agreed-upon outcome is rational
for all of us. In particular, thinking about “what we could all agree to”
allows us to construct a deduction of practical reason to determine what
policies are mutually advantageous. The second kind of contractarian theory is
derived from the moral theorizing of Kant. In his later writings Kant proposed
that the “idea” of the “Original Contract” could be used to determine what
policies for a society would be just. When Kant asks “What could people agree
to?,” he is not trying to justify actions or policies by invoking, in any
literal sense, the consent of the people. Only the consent of real people can
be legitimating, and Kant talks about hypothetical agreements made by
hypothetical people. But he does believe these make-believe agreements have
moral force for us because the process by which these people reach agreement is
morally revealing. Kant’s contracting process has been further developed by
subsequent philosophers, such as Rawls, who concentrates on defining the
hypothetical people who are supposed to make this agreement so that their
reasoning will not be tarnished by immorality, injustice, or prejudice, thus
ensuring that the outcome of their joint deliberations will be morally sound.
Those contractarians who disagree with Rawls define the contracting parties in
different ways, thereby getting different results. The Kantians’ social
contract is therefore a device used in their theorizing to reveal what is just
or what is moral. So like Hobbesians, their contract talk is really just a way
of reasoning that allows us to work out conceptual answers to moral problems.
But whereas the Hobbesians’ use of contract language expresses the fact that,
on their view, morality is a human invention which if it is well invented ought
to be mutually advantageous, the Kantians’ use of the contract language is
meant to show that moral principles and conceptions are provable theorems
derived from a morally revealing and authoritative reasoning process or “moral
proof procedure” that makes use of the social contract idea. Both kinds of
contractarian theory are individualistic, in the sense that they assume that
moral and political policies must be justified with respect to, and answer the
needs of, individuals. Accordingly, these theories have been criticized by
communitarian philosophers, who argue that moral and political policies can and
should be decided on the basis of what is best for a community. They are also
attacked by utilitarian theorists, whose criterion of morality is the
maximization of the utility of the community, and not the mutual satisfaction
of the needs or preferences of individuals. Contractarians respond that whereas
utilitarianism fails to take seriously the distinction between persons,
contractarian theories make moral and political policies answerable to the
legitimate interests and needs of individuals, which, contra the
communitarians, they take to be the starting point of moral theorizing.
conversational co-öperation: Grice is perfectly right that ‘helpfulness’ does not
‘equate’ cooperation. His earlier principle of conversational helpfulness
becomes the principle of conversational co-operation.Tthere is a distinction
between mutual help and cooperation. First, the Romans never knew. Their
‘servants’ were ‘help’ – and this remains in the British usage of ‘civil
servant,’ one who helps. Some philosophical tutees by Hare were often reminded,
in the midst of their presenting their essays, “Excuse me for interrupting,
Smith, but have you considered a career in the civil service?” Then some Romans
found Christianism fashionable, and they were set to translate the Bible. So
when this Hebrew concept appeared, they turned it into ad-judicatum, which was
translated by Wycliff as ‘help.’ Now ‘operatio’ is quite a different animal.
It’s the ‘opus’ of the Romans, who also had ‘labor.’ Surely to ‘co-laborate’ is
to ‘co-operate.’ There is an idea that ‘operate,’ can be more otiose, in the
view of Rogers Albritton. “He is operating the violin,” was his favourite
utterance. “Possibly his opus 5.” The fact that English needs a hyphen and an
umlaut does not make it very ‘ordinary’ in Austin’s description. Grice is more
interested in the conceptualization of this, notably as it relates to
rationality. Can cooperation NOT be rational? For most libertarians, cooperation
IS “irrational,” rather. But Grice points is subtler. He is concerned with an
emissor communicating that p. The least thing he deserves is a rational
recipient. “Otherwise I might just as well scream to the walls!” Used by Grice
WOW:368 – previously, ‘rational cooperation’ – what cooperation is not
rational? Grice says that if Smith promised Jones a job; Jones doesn’t get it.
Smith must be DEEMED to have given the job to Jones. It’s the intention, as
Kant shows, the pure motive, that matters. Ditto for communication. If
Blackburn draws a skull, he communicates that there is danger. If his addressee
fails to recognise the emissor’s intention the emissor will still be deemed to
have communicated that there is danger. So communication does NOT require
co-operation. His analysis of “emissor communicates that p” is not one of
“emissor successfully communicates that p,” because “communicates” reduces to
“intends” not to ‘fulfilled intention.’ Cooperation enters when we go beyond
ONE act of communication. To communicate is to give information and to
influence another, and it is also to receive information and to be influenced
by another. When these communicative objectives are made explicit, helpfulness
or cooperation becomes essential. He uses ‘converational cooperation” and
“supreme principle of conversational cooperation” (369). He uses ‘supreme
conversational principle” of “cooperativeness” (369), to avoid seeing the
conversational imperatives as an unorganized heap of conversational
obligations. Another variant is Grice’s use of “principle of conversational
co-operation.” He also uses “principle of conversational rational
co-operation.” Note that irrational or non-rational co-operation is not an
oxymoron. Another expression is conversational cooperative rationality. So
Grice was amused that you can just as well refer to ‘cooperative rationality”
or “rational cooperation,” “a category shift if ever there was one.”
conversational explicitum: To be explicit is bad manners at Oxford if not in Paris or
MIT. The thing is to imply! Englishmen are best at implying – their love for
understatement is unequalled in the world. Grice needs the explicatio, or
explicit. Because the mistake the philosopher makes is at the level of the
implicatio, as Nowell-Smith, and C. K. Grant had noted. It is not OBVIOUSLY at
the explicit level. Grice was never interested in the explicit level, and takes
a very cavalier attitude to it. “This brief indication of my use of say leaves
it open whether a man who says (today) Harold Wilson is a great man and another
who says (also today) The British Prime Minister is a great man would, if each
knew that the two singular terms had the same reference, have said the same
thing. But whatever decision is made about this question, the apparatus that I
am about to provide will be capable of accounting for any implicatures that
might depend on the presence of one rather than another of these singular terms
in the sentence uttered. Such implicatures would merely be related to different
maxims.”Rephrase: “A brief indication of my use of ‘the explicit’ leaves it
open whether a man who states (today), ‘Harold Wilson is a great man’ thereby
stating that Wilson is a great man, and another who states (also today),‘The
British Prime Minister is a great man,’ viz. that the Prime Minister is a great
mand, would, if each singular term, ‘the Prime Minister’ and ‘Wilson’ has the
same denotatum (co-relata) have put forward in an explicit fashion the same
propositional complex, and have stated the same thing. On the face of it, it
would seem they have not. But cf. ‘Wilson will be the prime minister’ versus
‘Wilson shall be the prime minister.’ Again, a subtler question arises as to
whether the first emissor who has stated that Wilson will be the next prime
minster and the other one who has stated that Wilson *shall* be the next prime
minster, have both but forward the same proposition. If the futurm indicatum is
ENTAILED by the futurum intentionale, the question is easy to settle. Whatever
methodological decision or stipulation I end up making about the ‘explicitum,’ the
apparatus that I rely on is capable of accounting for any implicatum that might
depend on the presence of this or that singular term in the utterance. Such an
implicatum would merely be related to a different conversational maxims. Urmson
has elaborated on this, “Mrs. Smith’s husband just passed by.” “You mean the
postman! Why did you use such contrived ‘signular term’?” If the emissor draws
a skull what he explicitly conveys is that this is a skull. This is the EPLICITUM.
If he communicates that there is danger, that’s via some further reasoning.
That associates a skull with death. Grice’s example is Grice displaying his
bandaged leg. Strictly, he communicates that he has a bandaged leg. Second,
that his leg is bandaged (the bandage may be fake). And third, that he cannot
play cricket. It all started in Oxford when they started to use ‘imply’ in a
sense other than the ‘logical’ one. This got Grice immersed in a deep
exploration of types of ‘implication.’ There is the implicatum, and the
implicitum, both from ‘implico.’ As correlative there is the explicatio, which
yields both the explicatum and the explicitum. Grice has under the desideratum
of conversational clarity that a conversationalist is assumed to make the point
of his conversational contribution ‘explicit.’ So in his polemic with G. A.
Paul, Grice knows that the ‘doubt-or-denial’ condition will be at the level NOT
of the explicitum or explicatum. Surely an implicatum can be CANCELLED
explicitly. Grice uses ‘contextual’ or ‘explicit,’ here but grants that the
‘contextual’ may be subsumed under the ‘explicit.’ It is when the sub-perceptual utterance is
copulated with the formulation of the explicatum of the implicatum that Grice
shows G. A. Paul that the statement is still ‘true,’ and which Grice sees as a
reivindication of the causal theory of perception. In the twenty or so examples
of philosophical mistakes, both in “Causal” and “Prolegomena,” all the mistakes
can be rendered back to the ‘explicatum’ versus ‘implicatum’ distinction.
Unfortunately, each requires a philosophical background to draw all the
‘implications,’ and Grice has been read by people without a philosophical
background who go on to criticise him for ignoring things where he never had
focused his attention on. His priority is to deal with these philosophical
mistakes. He also expects the philosopher to come up with a general
methodological statement. Grice distinguishes between the conversational
explicitum and the conversational explicatum. Grice plays with ‘explicit’ and
‘implicit’ at various places. He often uses ‘explicit’and ‘implicit’
adverbially: the utterer explicitly conveys that p versus the utterer
implicitly conveys that p (hints that p, suggests that p, indicates that p,
implicates that p, implies that p). Grice regards that both dimensions form
part of the total act of signification, accepting as a neutral variant, that
the utterer has signified that p.
conversational game: In a conversational game, you don’t say “The pillar box
seems red” if you know it IS red. So, philosophers at Oxford (like Austin,
Strawson, Hare, Hampshire, and Hart) are all victims of ignoring the rules of
the game, and just not understanding that a game is being played. the expression is used by Grice systematically.
He speaks of players making the conversational move in the conversational game
following the conversational rule, v. rational choice
conversational haggling
-- bargaining theory, the branch of game theory that treats agreements, e.g.,
wage agreements between labor and management. In the simplest bargaining
problems there are two bargainers. They can jointly realize various outcomes,
including the outcome that occurs if they fail to reach an agreement. Each
bargainer assigns a certain amount of utility to each outcome. The question is,
what outcome will they realize if they are rational? Methods of solving
bargaining problems are controversial. The best-known proposals are Nash’s and
Kalai and Smorodinsky’s. Nash proposes maximizing the product of utility gains
with respect to the disagreement point. Kalai and Smorodinsky propose
maximizing utility gains with respect to the disagreement point, subject to the
constraint that the ratio of utility gains equals the ratio of greatest
possible gains. These methods of selecting an outcome have been axiomatically
characterized. For each method, there are certain axioms of outcome selection
such that that method alone satisfies the axioms. The axioms incorporate
principles of rationality from cooperative game theory. They focus on features
of outcomes rather than bargaining strategies. For example, one axiom requires
that the outcome selected be Pareto-optimal, i.e., be an outcome such that no
alternative is better for one of the bargainers and not worse for the other.
Bargaining problems may become more complicated in several ways. First, there
may be more than two bargainers. If unanimity is not required for beneficial
agreements, splinter groups or coalitions may form. Second, the protocol for
offers, counteroffers, etc., may be relevant. Then principles of
non-cooperative game theory concerning strategies are needed to justify
solutions. Third, the context of a bargaining problem may be relevant. For
instance, opportunities for side payments, differences in bargaining power, and
interpersonal comparisons of utility may influence the solution. Fourth,
simplifying assumptions, such as the assumption that bargainers have complete
information about their bargaining situation, may be discarded. Bargaining theory
is part of the philosophical study of rationality. It is also important in
ethics as a foundation for contractarian theories of morality and for certain
theories of distributive justice.
conversational helpfulness: Grice is right that ‘cooperation’ does NOT equate
‘helpfulness’ and he appropriately changes
his earlier principle of conversational helpfulness to a principle of
conversational co-operation. Was there a Graeco-Roman equivalent for
Anglo-Saxon ‘help’? helpmeet (n.) a ghost word from the 1611 translation of the
Bible, where it originally was a two-word noun-adjective phrase translating
Latin adjutorium simile sibi [Genesis ii.18] as "an help meet for
him," and meaning literally "a helper like himself." See help
(n.) + meet (adj.). By 1670s it was hyphenated help-meet and mistaken as a
modified noun. Compare helpmate. The original Hebrew is 'ezer keneghdo. Related
entries & more aid (v.) "to
assist, help," c. 1400, from Old French aidier "help, assist"
(Modern French aider), from Latin adiutare, frequentative of adiuvare (past
participle adiutus) "to give help to," from ad "to" (see
ad-) + iuvare "to help, assist, give strength, support, sustain,"
which is from a PIE source perhaps related to the root of iuvenis "young
person" (see young (adj.)). Related: Aided; aiding. Related entries &
more succor (n.) c. 1200, socour,
earlier socours "aid, help," from Anglo-French succors "help,
aid," Old French socors, sucurres "aid, help, assistance"
(Modern French secours), from Medieval Latin succursus "help,
assistance," from past participle of Latin succurrere "run to help,
hasten to the aid of," from assimilated form of sub "up to" (see
sub-) + currere "to run" (from PIE root *kers- "to run").
Final -s mistaken in English as a plural inflection and dropped late 13c.
Meaning "one who aids or helps" is from c. 1300. There is a fashion
in which to help is to cooperate, but co-operate, strictly, requires operation
by A and operation by B. We do use cooperate loosely. “She is very
cooperative.” “Help” seems less formal. One can help without ever engaging or
honouring the other’s goal. I can help you buy a house, say. So the principle
of conversational cooperation is stricter and narrower than the principle of
conversational helpfulness. Cooperation involves reciprocity and mutuality in a
way that helpfulness does not. That’s why Grice needs to emphasise that there
is an expectation of MUTUAL helpfulness. One is expected to be helpful, and one
expects the other to be helpful. Grice was doubtful about the implicature of
‘co-operative,’ – after all, who at Oxford wants a ‘co-operative.’ It sounds
anti-Oxonian. So Grice elaborates on ‘helping others’ and ‘assuming others will
help you’ in the event that we ‘are doing something together.’ Does this equate
cooperation, he wonders. Just in case, he uses ‘helpfulness’ as a variant.
There are other concepts he plays with, notably ‘altruism,’ and ‘benevolence,’
or other-love.’Helpfulness is Grice’s favourite virtue. Grice is clear that
reciprocity is essential here. One exhibits helpfulness and expects helpfulness
from his conversational partner. He dedicates a set of seven lectures to it,
entitled as follows. Lecture 1, Prolegomena; Lecture 2: Logic and Conversation;
Lecture 3: Further notes on logic and conversation; Lecture 4: Indicative
conditionals; Lecture 5: Us meaning and intentions; Lecture 6: Us meaning,
sentence-meaning, and word-meaning; and Lecture 7: Some models for implicature.
I hope they dont expect me to lecture on James! Grice admired James, but not
vice versa. Grice entitled the set as being Logic and Conversation. That
is the title, also, of the second lecture. Grice keeps those titles seeing that
it was way the whole set of lectures were frequently cited, and that the second
lecture had been published under that title in Davidson and Harman, The
Logic of Grammar. The content of each lecture is indicated below. In
the first, Grice manages to quote from Witters. In the last, he
didnt! The original set consisted of seven lectures. To wit:
Prolegomena, Logic and conversation, Further notes on logic and conversation,
Indicative Conditionals, Us meaning and intentions, Us meaning,
sentence-meaning, and word meaning, and Some models for implicature. They were
pretty successful at Oxford. While the notion of an implicatum had been
introduced by Grice at Oxford, even in connection with a principle of
conversational helpfulness, he takes the occasion now to explore the type of
rationality involved. Observation of the principle of conversational
helpfulness is rational (reasonable) along the following lines: anyone who
cares about the two central goals to conversation (give/receive information,
influence/be influened) is expected to have an interest in participating in a
conversation that is only going to be profitable given that it is conducted
along the lines set by the principle of conversational helpfulness. In
Prolegomena he lists Austin, Strawson, Hare, Hart, and himself, as victims of a
disregard for the implicatum. In the third lecture he introduces his razor,
Senses are not to be muliplied beyond necessity. In Indicative conditionals he
tackles Strawson on if as not representing the horse-shoe of Whitehead and Russell.
The next two lectures on the meaning by the utterer and intentions, and meaning
by the utterer, sentence-meaning, and word-meaning refine his earlier, more
austere, account of this particularly Peirceian phenomenon. He concludes the
lectures with an exploration on the relevance of the implicatum to
philosophical psychology. Grice was well aware that many philosophers had
become enamoured with the s. and would love to give it a continuous perusal.
The set is indeed grandiose. It starts with a Prolegomena to set the scene: He
notably quotes himself in it, which helps, but also Strawson, which sort of
justifies the general title. In the second lecture, Logic and Conversation, he
expands on the principle of conversational helpfulness and the
explicitum/implicatum distinction – all very rationalist! The third lecture is
otiose in that he makes fun of Ockham: Senses are not to be multiplied beyond
necessity. The fourth lecture, on Indicative conditionals, is indeed on MOST of
the formal devices he had mentioned on Lecture II, notably the functors (rather
than the quantifiers and the iota operator, with which he deals in
Presupposition and conversational implicature, since, as he notes, they refer
to reference). This lecture is the centrepiece of the set. In the fifth
lecture, he plays with mean, and discovers that it is attached to the
implicatum or the implicitum. In the sixth lecture, he becomes a nominalist, to
use Bennetts phrase, as he deals with dog and shaggy in terms of this or that
resultant procedure. Dont ask me what they are! Finally, in “Some models for
implicature,” he attacks the charge of circularity, and refers to
nineteenth-century explorations on the idea of thought without language alla
Wundt. I dont think a set of James lectures had even been so comprehensive!
Conversational helpfulness. This is Grice at his methodological best. He was aware
that the type of philosophying he was about to criticise wass a bit dated, but
whats wrong with being old-fashioned? While this may be seen as a development
of his views on implicature at that seminal Oxford seminar, it may also be seen
as Grice popularising the views for a New-World, non-Oxonian audience. A
discussion of Oxonian philosophers of the play group of Grice, notably Austin, Hare,
Hart, and Strawson. He adds himself for good measure (“Causal theory”).
Philosophers, even at Oxford, have to be careful with the attention that is due
to general principles of discourse. Grice quotes philosophers of an earlier
generation, such as Ryle, and some interpreters or practitioners of Oxonian
analysis, such as Benjamin and Searle. He even manages to quote from Witterss
Philosophical investigations, on seeing a banana as a banana. There are further
items in the Grice collection that address Austins manoeuvre, Austin on ifs and
cans, Ifs and cans, : conditional, power. Two of Grices favourites. He
opposed Strawsons view on if. Grice thought that if was the horseshoe of
Whitehead and Russell, provided we add an implicatum to an entailment. The
can is merely dispositional, if not alla Ryle, alla Grice! Ifs and cans, intention,
disposition. Austin had brought the topic to the fore as an exploration of
free will. Pears had noted that conversational implicature may account for the
conditional perfection (if yields iff). Cf. Ayers on Austin on if and can.
Recall that for Grice the most idiomatic way to express a disposition is with
the Subjectsive mode, the if, and the can ‒ The ice can break. Cf. the mistake:
It is not the case that what you must do, you can do. The can-may distinction
is one Grice played with too. As with will and shall, the attachment of one mode
to one of the lexemes is pretty arbitrary and not etymologically justified ‒
pace Fowler on it being a privilege of this or that Southern Englishman as
Fowler is. If he calls it Prolegomena, he is being jocular. Philosophers
Mistakes would have been too provocative. Benjamin, or rather Broad, erred, and
so did Ryle, and Ludwig Witters, and my friends, Austin (the mater that
wobbled), and in order of seniority, Hart (I heard him defend this about
carefully – stopping at every door in case a dog comes out at breakneck speed),
Hare (To say good is to approve), and Strawson (“Logical theory”: To utter if
p, q is to implicate some inferrability, To say true! is to endorse –
Analysis). If he ends with Searle, he is being jocular. He quotes Searle from
an essay in British philosophy in Lecture I, and from an essay in Philosophy in
America in Lecture V. He loved Searle, and expands on the Texas oilmens club
example! We may think of Grice as a linguistic botanizer or a meta-linguistic
botanizer: his hobby was to collect philosophers mistakes, and he catalogued
them. In Causal theory he produces his first list of seven. The pillar box
seems red to me. One cannot see a dagger as a dagger. Moore didnt know that the
objects before him were his own hands. What is actual is not also possible. For
someone to be called responsible, his action should be condemnable. A cause
must be given only of something abnormal or unusual (cf. ætiology). If you know
it, you dont believe it. In the Prolegomena, the taxonomy is more complicated.
Examples A (the use of an expression, by Austin, Benjamin, Grice, Hart, Ryle,
Wittgenstein), Examples B (Strawson on and, or, and especially if), and
Examples C (Strawson on true and Hare on good – the performative theories). But
even if his taxonomy is more complicated, he makes it more SO by giving other
examples as he goes on to discuss how to assess the philosophical mistake. Cf.
his elaboration on trying, I saw Mrs. Smith cashing a cheque, Trying to cash a
cheque, you mean. Or cf. his remarks on remember, and There is an analogy here
with a case by Wittgenstein. In summary, he wants to say. Its the philosopher
who makes his big mistake. He has detected, as Grice has it, some
conversational nuance. Now he wants to exploit it. But before rushing ahead to
exploit the conversational nuance he has detected, or identified, or collected
in his exercise of linguistic botanising, the philosopher should let us know
with clarity what type of a nuance it is. For Grice wants to know that the
nuance depends on a general principle (of goal-directed behaviour in general,
and most likely rational) governing discourse – that participants in a
conversation should be aware of, and not on some minutiæ that has been
identified by the philosopher making the mistake, unsystematically, and merely
descriptively, and taxonomically, but without ONE drop of explanatory adequacy.
The fact that he directs this to his junior Strawson is the sad thing. The rest
are all Grices seniors! The point is of philosophical interest, rather than
other. And he keeps citing philosophers, Tarski or Ramsey, in the third James
leture, to elaborate the point about true in Prolegomena. He never seems
interested in anything but an item being of philosophical interest, even if
that means HIS and MINE! On top, he is being Oxonian: Only at Oxford my
colleagues were so obsessed, as it has never been seen anywhere else, about the
nuances of conversation. Only they were all making a big mistake in having no
clue as to what the underlying theory of conversation as rational co-operation
would simplify things for them – and how! If I introduce the explicatum as a
concession, I shall hope I will be pardoned! Is Grices intention epagogic, or
diagogic in Prolegomena? Is he trying to educate Strawson, or just delighting
in proving Strawson wrong? We think the former. The fact that he quotes himself
shows that Grice is concerned with something he still sees, and for the rest of
his life will see, as a valid philosophical problem. If philosophy generated no
problems it would be dead. Refs.: The main sources are the two sets on ‘logic
and conversation.’ There are good paraphrases in other essays when he
summarises his own views, as he did at Urbana. The H. P. Grice Papers, BANC.
conversational imperative: The problem with ‘command’ is that for Habermas, it
springs from ‘power,’ and we need to have it sprung from ‘auctoritas,’ rather –
the voice of reason, that is – “Impero” gives also pre-pare. “Imperare,
prepare, etc. What was the Greek for ‘imperative mode’? προστακτική
prostaktike. προσ-τακτικός , ή, όν, A.of or for
commanding, imperative, imperious, τὸ π. [ἡ ψυχή], opp. τὸ ὑπηρετικόν (of the
body), Arist.Top.128b19; “π. τινῶν” Corn.ND16; “λόγος” Plu.2.1037f;
Προστακτικός (sc. λόγος), title of work by Protagoras, D.L.9.55; “βραχυλογία”
Plu.Phoc.5; also of persons, “ἄρχων” Max.Tyr.13.2 (Sup.). II. Gramm., ἡ -κὴ
ἔγκλισις the imperative mood, D.T.638.7, A.D.Synt.31.20; π. ἐκφορὰ τῶν ῥημάτων
ib.69.20; “τὸ π. σχῆμα” Anon.Fig.24; also “τὸ -κόν” D.L. 7.66,67,
Ps.-Plu.Vit.Hom.53. Adv. “-κῶς” in the imperative mood, D.H.4.18,
Sch.Ar.Av.1163.Grice became famous for his ‘maxims,’ which in Nowell-Smith’s
view they are more like rules of etiquette for sylish conversation. As such,
many had been proposed. But Grice proposes them AS A PHILOSOPHER would, and
ONLY TO REBUFF the mistake made by this or that philosopher who would rather
EXPLAIN the phenomenon in terms OTHER than involving as PART OF THE DATA, i. e.
as a datum (as he says) or assumption, that there are these ‘assumptions,’ which
guide behaviour. Grice is having in mind Kant’s “Imperativ.” He also uses
‘conversational objective.” In most versions that Grice provides of the
‘general expectations’ of rational discourse, he chooses the obvious imperative
form. On occasion he does use ‘imperative.’ Grice is vague as to the term of
choice for this or that ‘expectation.’ According to Strawson, Grice even once
used ‘conversational rule,’ and he does use ‘conversational rule of the
conversational game of making this or that conversational move.’ Notably, he
also uses ‘conversational principle,’ and ‘conversational desideratum.’ And
‘maxim’! And ‘conversational directive (371), and ‘conversational obligation’
(369). By ‘conversational maxim,’ he means ‘conversational maxim.’ He uses
‘conversational sub-maxim’ very occasionally. He rather uses ‘conversational
super-maxim.’ He uses ‘immanuel,’ and he uses ‘conversational immanuel.’ It is
worth noting that the choice of word influences the exegesis. Loar takes these
things to be ‘empirical generalisations over functional states’! And Grice
agrees that there is a dull, empiricist way, in which these things can be seen
as things people conform to. There is a quasi-contractualist approach to:
things people convene on. And there is an Ariskantian approach: things people
SHOULD abide by. Surely Grice is not requiring that the conversationalists ARE
explicitly or consciously AWARE of these things. There is a principle of effort
of economical reason to cope with that!
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