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The first sig-nificant teachers of philosophy at Cambridge were the mid-seventeenth-century Cambridge Platonists, espe-cially Cudworth and Henry More.. But since about 1960 Cambridge philo

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false An argument of the calculus is defined to be valid

just in case in any interpretation in which all the premisses

are true, the conclusion is also true Then the minimum

requirement for the rules of inference is that they be

sound: if there is a proof of A from a set Γ, then the

argu-ment with the members ofΓas premisses and A as

A Church, Introduction to Mathematical Logic (Princeton, NJ,

1956), i introduction, sect 7

W Kneale and M Kneale, The Development of Logic (Oxford, 1962),

ch 9

E J Lemmon, Beginning Logic (London, 1965).

calculus, predicate:see predicate calculus.

calculus, propositional:see propositional calculus.

Calvin, John (Jean) (1509–64) French theologian

Reformer active in Geneva A principal founder of

Protest-antism, his main theological doctrine is absolute

predestin-ation, which entails the inevitability of the eternal

salvation of the elect and the eternal damnation of the

unchosen, irrespective of perceived desert but according

to the will of God The inamissibility of *grace is a

logical consequence of absolute predestination (because F is

inamissible if and only if F is not liable to be lost) Calvin’s

theology entails the Lutheran doctrines that Scripture is

the only guide to faith, there is human free will before but

not after the Fall of Adam, and the distinguishing of the

righteous from the sinful is by faith alone (sola fide), not

works Calvinism is characterized by a strong emphasis on

the omnipotence of God and human sin, rather than

God’s benevolence and human freedom *Barth’s

argu-ments against the possibility of *natural theology and

insistence on the unique importance of God’s

self-revelation in Christ lend support to Calvinism s.p

*Calvinism

John Calvin, The Institutes of Christian Religion (Grand Rapids,

Mich., 1987)

Paul Helm, John Calvin’s Ideas (Oxford, 2004).

Alister E McGrath (ed.), The Christian Theology Reader (Oxford,

2002), pp 425–6

Calvinism.Based primarily upon the teachings of John

Calvin (1509–64), Calvinism has a doctrinal side and a

cul-tural side The former stresses the sovereignty of God, the

goodness of his creation, the sinfulness of human

crea-tures, the sole authority of Scripture, and (though not as

centrally as commonly believed) the predestination of his

creatures to eternal life made possible by Christ’s

redemp-tive work The latter (built on the theme of the goodness

of creation) stresses an approach to culture which

empha-sizes involvement, hard work, and material success rather

than withdrawal and other-worldly flight Often

charac-terized as deterministic, the teachings of Calvinism are

perfectly compatible with the *freedom of the will, as

(non-compatibilist) philosophers understand this notion

Thus, for example, the doctrine of pre-destination entails

that one’s final state is determined, but it does not entail that one is unfree with respect to all of the numerous deci-sions one makes over the course of one’s life Unlike Lutheranism, Calvinism has evolved out of the teachings

of more than one individual; besides Calvin, these include Zwingli, Melanchthon, and Bucer g.f.m

*compatibilism and incompatibilism

P Helm, John Calvin’s Ideas (Oxford, 2004).

J T McNeill, History and Character of Calvinism (Oxford, 1954).

Cambridge change.If a predicate is true of an object x at a time t, but not true of x at a later time, then x has

under-gone what P T Geach has called a ‘Cambridge change’ Many philosophers believe that Cambridge change is necessary but not sufficient for genuine *change For example, when my brother grows taller than me, I become shorter than him I have undergone a Cambridge change, but not a genuine change t.c

Sydney Shoemaker, ‘Causality and Properties’, in Identity, Cause and Mind (Cambridge, 1984).

Cambridge philosophy.In the Middle Ages Cambridge was a good deal smaller than Oxford and produced no philosopher to compare with Oxford’s Duns Scotus or Ockham Francis Bacon was the first important philoso-pher to study at Cambridge, although he, like Hobbes, Locke, and Bentham at Oxford, thought little of the instruction he had received at his university The first sig-nificant teachers of philosophy at Cambridge were the mid-seventeenth-century Cambridge Platonists, espe-cially Cudworth and Henry More For the most part members of the strongly Calvinist Emmanuel College, they were hostile to all kinds of fanatical enthusiasm and argued for the rationality of religion against Calvinism, Laudian High Anglicanism, and the Erastianism of Hobbes They sought to found morality on reason, not will, whether of God or king, and, against Descartes’s mechanism argued that the world as a whole is a unity, animated throughout by purpose

Samuel Clarke, writing in the early years of the eight-eenth century, was the most mathematically minded of philosopher-theologians and very much a product of Newton’s Cambridge, although he did not teach there He defended, against Leibniz, Newton’s theory of space as absolute His abstract lucidities were echoed, towards the end of the century, in the ethics and theology of William Paley, Christian utilitarian and authoritative expounder of the ‘evidences’ of Christianity

A lonely figure in the unphilosophical Cambridge of the mid-nineteenth century was William Whewell His account of scientific thinking as *hypothetico-deductive, with hypothesis being prior to observation, was unfairly criticized, and unreasonably obliterated, by J S Mill Whewell’s views, unlike Mill’s, were based on wide experi-ence of scientific work and profound knowledge of the history of science John Grote revived philosophy in Cam-bridge later in the century, and by the end of it the subject

120 calculus

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philosophy in britain: early twentieth century

ludwig wittgenstein: his influence coursed twice

through Western philosophy, first via Logical Positivism in

the 1930s and 1940s, then through a diaspora of disciples in

the 1950s and 1960s The open texture and vatic style of his

writings allow endless discovery and reinterpretation

bertrand russell transcended the successive influences

of Bradley, Moore, Frege, and Wittgenstein to emerge as the most widely read British philosopher of the twentieth century

g e moore defended the value of common sense and

clar-ity in philosophy and inspired a generation of British

intel-lectuals with his ethical writings

r g collingwood, the last bastion of idealism in inter-war Oxford, stressed the historical nature of the philo-sophical enterprise

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was pursued there with distinction by the idealists James

Ward and J M E McTaggart—the second of whom

derived extra-ordinary conclusions with seemingly

rigor-ous logic from self-evident premisses in crystalline

prose—and the utilitarian moral philosopher Henry

Sidg-wick, an inspiring example of intellectual scrupulousness

Bertrand Russell and G E Moore, who were to

over-whelm the prevailing idealist consensus, were pupils

of these three In the first decade of this century Russell,

with A N Whitehead, produced Principia Mathematica,

expanding the range and increasing the systematic

charac-ter of logic and purporting to derive mathematics from it

He brought the topic of meaning to the centre of

philoso-phy and, with his theory of descriptions, supplied an

exemplary instance of how it should be analysed Moore

set about the doctrines of other philosophers, whether

idealists or utilitarians, with stolid but acute literalness

Russell and Moore agreed that there are many different

things, of different fundamental kinds, in the world and

that reality is not, as the idealists had concluded, one

all-inclusive mental or spiritual thing

Wittgenstein came to Cambridge to learn from Russell

and soon reversed the relationship There is nothing of

Moore in the Tractatus, in which the topics he and Russell

had worked on together are oracularly set out: an

intensely abstract account of the ultimate logical

con-stituents of the world and of our thought and speech

about it Absent from 1914 to 1929, he came back with a

point of view closer to Moore, at least in taking ordinary

language to be in need, not of replacement, but of a fuller,

deeper understanding Ramsey, the only disciple he seems

to have respected intellectually, was, like him and Russell,

a mathematician Dying at 26, he showed enormous

promise Wittgenstein dominated Cambridge philosophy

until his death in 1953 and for a considerable time

after-wards But since about 1960 Cambridge philosophy,

much like that of Oxford, has largely lost its distinctive

flavour, perhaps because of the reversal by the philosophy

of the United States of its former colonial dependence on

*London philosophy; Oxford philosophy; English

phil-osophy; British philosophy today

Cambridge PlatonistsA school of seventeenth-century

English philosophers who found in Platonism a way of

criticizing Hobbes and of defending Christianity against

the fanaticism of Puritans, Calvinists, and Prelatists

The Cambridge Platonists included Ralph Cudworth

(1617–80), who is perhaps best known, John Smith

(1618–52), Benjamin Whichcote (1609–83), and Nathaniel

Culverwell (1618–50) All these thinkers were from

Emmanuel College, and to these we can add Henry More

(1614–87) who was from Christ’s College Ralph

Cud-worth eventually became Master of Christ’s (for over

thirty years) and Professor of Hebrew in the University

His major work The True Intellectual System of the Universe

(1678) was conceived as a systematic refutation of

Hobbes, and indeed it was a major work of seventeenth-century philosophical thought What follows is an account of the main lines of argument of the Cambridge Platonists, especially as these are found in Cudworth and John Smith

Hobbes’s account of the mind was reductivist—he argued that it consisted of motions in the substance of the brain Perception consisted of a passive registration by the sense-organs of vibrations received from outside, ‘appar-itions’ or ‘seemings’, as Hobbes calls them John Smith in

his Discourse Concerning the Immortality of the Soul points

out, probably following Plotinus, that Hobbes has not dis-tinguished between the motions of material particles and our awareness of the motions He is maintaining, in other words, that Hobbes lacks an account of *consciousness Smith argues that there must be some incorporeal sub-stance through which we become aware of the ‘seemings’ and by means of which we can interpret and correct them For Smith, then, the senses presuppose a mind as their co-ordinating principle In a similar sort of way Cudworth presents a theory of knowledge which anticipates Kant: mind is not secondary and derivative but ‘senior to the world, and the architect thereof ’

The doctrine of the eternal and immutable character of

*morality is the most characteristic doctrine of the Cam-bridge Platonists Things, including morality, are as they are by nature and independently of our wills They have been created by a God whose will is subject to his wisdom and goodness The mind of man is derivative from the divine mind, which is itself antecedent to all corporeal things When human ideas are true they are readings of the divine thoughts In other words, there is a realm of intelligible ideas to which ‘good’ or ‘just’ belong, every bit

as much as geometrical truths These intelligible and changeless ideas are rational patterns in the mind of God and are accessible to human minds through the use of right reason It is clear from this that in their metaphysics and moral philosophy the Cambridge Platonists (influ-enced by Plato, Plotinus, and Descartes) totally reject Hobbes

In their philosophy of religion they reject *Calvinism, and in particular they reject both the doctrine of the total depravity of man since the Fall, and also the doctrine of predestination They believed in the power of each person

by the light of reason to move towards perfection It is also interesting to note that the Cambridge Platonists were themselves Puritans by origin and education Their Puri-tan dislike of ritual, vestments, and stained glass was of course supported by their belief in Platonism But they were mild and tolerant in their views and were sometimes called the ‘latitude men’ Their position had something in common with that of Milton, and pointed towards *deism and the moral sense theory of Shaftesbury r.s.d

*latitudinarianism

S Hutton, ‘The Cambridge Platonists’, in S Nadler (ed.), A Com-panion to Early Modern Philosophy (Oxford, 2002).

Basil Willey, The Seventeenth Century Background (London,

1953)

122 Cambridge philosophy

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Campanella, Tommaso(1568–1639) A highly prolific

Ital-ian philosopher imprisoned for years by the Inquisition for

his *libertinism, Campanella was a contemporary of

fel-low Dominican Giordano Bruno, defender of Galileo

Galilei, and correspondent of the French libertines Gabriel

Naudé and François de La Mothe le Vayer In Atheismus

Trionfatus (1631), Campanella claimed to expose the

argu-ments for atheism in order to refute them—the triumph

over atheism of the title But because he proposed a form

of *deism, discoverable by the light of reason alone, of

which Christianity was just one manifestation and Christ

a preacher of a natural morality, the book was denounced

as proclaiming ‘atheism triumphant’, and pillaged for a

more decidedly atheistic tract, Theophrastus Redivivus In

Campanella’s utopian City of the Sun, investigation of

nature would benefit mankind, whether by means of

political and ethical laws or by technology Rulers would

use natural philosophy and scientific astrology, purged of

superstition, to control and transform the world l.p

G Ernst, Religione, ragione e natura: Studi su T Campanella (Milan,

1991)

F Yates, Giordano Bruno and the Hermetic Tradition (London,

1964)

Campbell, John (1956– ). British metaphysician and

philosopher of mind, at Berkeley, formerly at Oxford

Campbell’s distinctive approach to metaphysics and the

philosophy of mind aims to reconcile a broadly Kantian

investigation of the structure of self-conscious thought

about an objective world with the results of empirical

enquiry into the nature of cognition Past, Space and Self

(1994) undertakes to map out the central conceptual skills

making up the human capacity for self-conscious thought

and distinguishing human beings from other animals

These conceptual skills involve capacities to think not just

about oneself, but also about space and time and the

nature of physical objects Reference and Consciousness

(2002) explores the functional role of conscious

experi-ence Campbell sees conscious attention to objects as

playing a foundational role in thought and action—a

foun-dational role that we can only understand through the

complex interactions between conscious attention and the

subpersonal information-processing mechanisms that

Camus, Albert(1913–60) Algerian French philosopher

who is best known for his concept of ‘the *absurd’, which

he described as ‘a widespread sensitivity of our times’ and

defined as a confrontation between our demands for

ratio-nality and justice and the ‘indifferent universe’ He

explored this idea in novels, The Stranger (1942), The Plague

(1947), and The Fall (1956), as well as philosophical essays,

The Myth of Sisyphus (1942) and The Rebel (1951) He was

born and grew up in war-torn north Africa, and memories

of the bitter civil war and his experiences under the Nazi

occupation permeated his philosophy Like his one-time

philosophical friend and colleague Jean-Paul Sartre, he

was obsessed with questions of responsibility, innocence,

and guilt in the face of overwhelming tragedy In The Plague, for example, he pits his characters against an

invis-ible, unpredictable, lethal enemy in order to explore the vicissitudes of responsibility in a situation for which no one can be blamed Nevertheless, there are heroes and

there are cads In his early novel The Stranger, by contrast,

Camus introduces us to a character who is utterly innocent, despite the fact that he violates virtually all of the dictates of

‘decent’ society, including the prohibition against murder Camus’s notion of ‘the absurd’ is best exemplified by the Greek mythological hero Sisyphus, who was con-demned by the gods to the endless, futile task of rolling a rock up a mountain Nevertheless, Camus assures us, Sisy-phus is happy He accepts his futile fate, but he also ‘rebels’

by scorning the gods In The Stranger, by contrast, the

pro-tagonist had simply accepted the absurdity of life, ‘open-ing up his heart to the benign indifference of the universe’ But Camus, like Sartre, also displays a deep appreciation of what we might call ‘original’ guilt, guilt that is inherent in

our very existence as human beings In The Fall, a

particu-larly perverse character named Jean-Baptiste Clamence, who was once a lawyer, makes the conflation of guilt and innocence a matter of philosophical principle How could one be innocent in a world that is absurd? Camus won the Nobel Prize for Literature in 1957 r.c.sol

*existentialism

D Sprintzen, Camus: A Critical Examination (Philadelphia, 1988).

Canadian philosophy.Something of Canada’s national character is reflected in the philosophical effort of three centuries Starting from 1665 with the teaching of the Ratio Studiorum at the Jesuit Collège in Quebec, empha-sis was placed on the writings of Aristotle and Aquinas which were thought to serve the higher objectives of the-ology From early in the nineteenth century, the philo-sophical programme of French Canada was to resist the attractions of the Protestant Reformation and the Enlight-enment In due course, efforts were made to articulate a positive Catholic philosophy which, as it emerged, under-wrote the ultramontanism which prevailed in French Canada until the 1960s In English Canada philosophy originated with the founding of the first universities in Maritimes in the eighteenth century In most cases, the university had a religious affiliation, and it is natural that there should have been a preoccupation with the philo-sophical foundations of religion Canada’s harsh climate also called forth a serious interest in the philosophy of nature, and her emerging social pluralism issued in the philosophical analysis of politics

Genuine philosophical ability was widely scattered across the country, and no English-speaking university could represent itself as the centre of philosophical effort

in the late nineteenth and early twentieth centuries; but Toronto began in the early 1920s to achieve a hegemony that would endure for nearly fifty years In 1929 the Insti-tute of Mediaeval Studies (later the Pontifical InstiInsti-tute) was established in that city, and it is to this day one of the

Canadian philosophy 123

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world’s leading centres for such work George Brett and

later Fulton H Anderson shaped the philosophy

depart-ment at the University of Toronto into one of the

fore-most places for the study of the history of philosophy

Canada had made substantial and internationally

rec-ognized contributions to medieval studies and the history

of philosophy generally, but in the 1960s the Quiet

Revo-lution was under way in Quebec, and everywhere Sputnik

worked its magic Canada came to know unprecedented

expansion of its universities, in both size and number In

Quebec philosophy became more vigorously secular and

made significant contributions to the intellectual

founda-tions of her own social transformation Anglophone

philosophers were turning their attention away from the

history of philosophy and from cultural self-examination,

and were positioning themselves in research programmes

set elsewhere, chiefly those of the analytic philosophers of

Cambridge, of positivism and its critics, mainly in the

United States, of Oxford linguistic philosophy, and of

post-war phenomenology and existentialism in France and

Germany

The University of Western Ontario assembled an

inter-nationally recognized team of philosophers of science,

and a monograph series was launched The Canadian

Philosophical Association originated its official journal,

Dialogue, in 1961, and this was followed ten years later by

the Canadian Journal of Philosophy and Russell: The Journal of

the Bertrand Russell Archives (based at McMaster

Univer-sity) In the same year the Society for Exact Philosophy

came into being Laval théologique et philosophique was born

in 1945, and Philosophiques in 1974.

After the transformations of the 1960s it may be said

that professional Canadian philosophy lost much of the

discernibly Canadian character that it had had previously

Canadian researchers now work on specialized problems,

and employ methods to do so, which resist narrowly

national definition Even so, there are exceptions to this

trend George Grant’s Lament for a Nation (1965) and

Tech-nology and Empire (1969) had an influence well beyond the

universities, and did much to underwrite a resurgence of

Canadian cultural nationalism in the 1960s and 1970s

Grant’s work was in the main greeted

unsympathetic-ally by academicunsympathetic-ally based philosophers They found its

arguments unrigorous and its Platonized anglicanism

over-sentimental Thus, while several Canadians, both at

home and abroad, are in the forefront of various branches

of philosophical enquiry, less amply exemplified are

con-centrations of ‘analytically approved’ research

accom-plishment that have a recognizably Canadian ‘signature’

In the case of Australia, one tends to think of materialism;

present-day Oxford calls to mind neo-Kantianism; and so

on In some areas, Canadians have achieved dominance,

whether in Gauthier’s work on contractarian ethics, van

Fraassen’s promotion of constructive empiricism, the

Woods–Walton approach to fallacy theory, or the

develop-ment of preservationist variations of paraconsistent

logic by Peter Schotch, R E Jennings, and Bryson Brown

In only one area, however, can there be said to exist a

professionally well-respected signature that reflects a dis-tinctively Canadian philosophical character This is the philosophy of multiculturalism, typified by the works of Will Kymlicka Leslie Armour has also provided the estimable service of showing how deep is the Canadian intellectual preoccupation with multiculturalism, which pre-dates by generations Quebec’s Quiet Revolution So Kymlicka (and certain of his critics, such as Edward Andrew) are building upon a thick analytical foundation

In the Canadian tradition, a just citizenship must respect a fundamental difference between the rights of immigrants and the constitutionally protected distinctive-ness of aboriginals and Québécois While all immigrants must have the right to acquire citizenship, neither Can-adian policy nor practice favours an open border So there

is a problem about what ethno-cultural justice requires in the case of illegals, or ‘metrics’ as Kymlicka calls them Both Charles Taylor and Kymlicka reflect in their writings the Canadian openness to ethnic diversity Taylor sees religion as essential to ‘deep diversity’ Kymlicka concedes the impossibility of separating culture and politics, but favours the expungement of the religious from the polit-ical Canadian multicultural politics is an accommodation

of cleavages both ethnic and linguistic It is not surprising, therefore, that her leading political philosophers should emphasize the Canadian confederal state as the appropri-ate governing structure Some critics see in these arrange-ments the loss of Canada’s former distinctiveness, its replacement by a timorous and unconfident new nation-alism of the affirmative of otherness, and a misappropri-ation of the founding rmisappropri-ationale of confedermisappropri-ation j.woo

*American philosophy; Australian philosophy

Dialogue: The Canadian Philosophical Review (1986): vol 25 mainly

devoted to philosophy in Canada

Leslie Armour, The Idea of Canada and the Crisis of Community

(Ottawa, 1981)

Will Kymlicka and Magda Opalski (eds.), Can Liberal Pluralism be Exported? Western Political Theory and Ethnic Relations in Eastern Europe (Oxford, 2002).

Cantor, Georg (1845–1918) Cantor created the math-ematics of the *infinite as well as effectively creating *set

theory A set has the same number of members as another

if each member of either set can be paired with a unique member of the other If a set can be put into such a one-to-one correspondence with the integers it is said to be denumerable Cantor demonstrated the denumerability

of algebraic numbers (roots of polynomial equations with

integer coefficients), and the non-denumerability of the

real numbers, numbers whose decimal expansion need not repeat or terminate (1873, diagonal proof 1891) Can-tor’s continuum hypothesis (there is no set intermediate

in size between the integers and the real numbers) was proved by P J Cohen (1963), following a partial result by Gödel (1938), to be consistent with but underivable from

Joseph Warren Dauben, Georg Cantor: His Mathematics and Philo-sophy of the Infinite (Cambridge, Mass., 1979).

124 Canadian philosophy

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Cantor’s paradox.How many points are there in a line

segment? As Cantor’s diagonal proof reveals, infinitely

more than there are integers And in the infinite plane? Just

as many as there are in the line segment Indeed and in

general, precisely as many as there are in a space of n

dimensions, n≥1 ‘I see it,’ Cantor wrote to Dedekind,

‘but I don’t believe it.’ Is this infinite number of points,

then, the highest degree of *infinity available? No Cantor

also proved that for any set, a set with more members (the

original set’s power set, consisting of all its subsets) is

constructible Thus there is no greatest set Hence also

(Cantor’s paradox) there is not a set of all sets, since such

a supposed total set would at once yield a larger one

j.j.m

M M Zuckerman, Sets and Transfinite Numbers (New York, 1974).

capacity.A capacity is a *power or ability (either natural

or acquired) of a *thing or person, and as such one of its

real (because causally effective) properties The natural

capacities of inanimate objects, such as the capacity of

cop-per to conduct electricity, are dispositional procop-perties

whose ascription entails the truth of corresponding

sub-junctive conditionals, such as that an electric current

would flow in a copper wire if a potential difference were

applied to its ends But the capacities of persons the

exer-cise of which is subject to their voluntary control, such as

a person’s capacity to speak English, do not sustain such a

pattern of entailments and are consequently not strictly

*dispositions Ascribing to something a capacity to F is not

the same as saying that it is naturally possible for that thing

to F, since circumstances can obtain in which a thing’s

capacity to F cannot be exercised. e.j.l

*causality; propensity; potentiality

R Tuomela (ed.), Dispositions (Dordrecht, 1978).

capitalism. The modern, market-based,

commodity-producing economic system controlled by ‘capital’, that

is, purchasing-power used to hire labour for wages The

term was first used prominently, and pejoratively, by

Marx, but for defenders of the system it has become a term

of praise

Marx sees the origins of capitalism in the forcible

expro-priation of European peasants and small artisans during

the later Middle Ages, leading to a separation between the

*bourgeoisie or capitalist class, who privately own the

means of production, and the proletariat or working class

Possessing no such means, proletarians can live only by

selling their labour power to members of the bourgeoisie

Ownership of the means of production gives the

bour-geoisie a decisive bargaining advantage over the

prole-tariat, which shows itself in the form of the profit and

interest on capital, resulting from the *exploitation of

wage labour One central claim of Marxian economics is

that capitalism has been responsible for a colossal growth

in humanity’s productive capabilities Another is that

cap-ital has an inherent tendency to accumulate,

concentrat-ing social power in the hands of the capitalist class and

bringing the exploited working class more and more under its economic domination The potential for a higher society and a better life which capitalism has made pos-sible can be realized for the vast majority only if the workers are emancipated from the domination of capital Defenders of capitalism deny the charge that wage labourers are exploited, citing the indispensable economic functions performed by capitalists, such as managerial and supervisory labour, saving, and the assumption of risks Critics of capitalism respond that in principle there is no reason why these functions must be performed by capital-ists Workers need not be supervised by those who repre-sent interests antagonistic to theirs; capitalists typically bear fewer burdens of deprivation than workers do for the sake of social saving, and if capitalists are rewarded for risk-taking, the system offers no similar rewards to work-ers, who nevertheless risk losing their livelihood when an enterprise fails They see capitalists as ‘rewarded’ for per-forming these functions only because the system gives them greater control over production, saving, and risk-taking, hence putting them in a position to reap the fruits

of economic co-operation, accumulation, and good for-tune Profit and interest on capital are not rewards for managing, saving, and risk-taking, but rather conse-quences of capital’s social power to exploit labour

To this defenders of capitalism will reply that the failure

of the Soviet system reveals capitalism to be the most effi-cient way yet discovered to manage a modern economic system To grant this point, however, is not in the least to concede that capitalism is not exploitative, only that we have yet to find an efficient modern economic system which does not exploit workers It is doubtless a troubling fact that we have not, but this fact provides us with no rea-son for feeling any loyalty to the capitalist system and leaves untouched the basic Marxian reason to seek an

*anti-communism; democracy and capitalism; global-ization, morality, and politics

Harry Braverman, Labor and Monopoly Capital (New York, 1974) Milton Friedman, Capitalism and Freedom (Chicago, 1982) Karl Marx, Capital, tr Ben Fowkes and David Fernbach (London,

1976)

Alec Nove, The Economics of Feasible Socialism (London, 1983) Joseph Schumpeter, Capitalism, Socialism and Democracy (New

York, 1951)

Paul Sweezy, Theory of Capitalist Development (London, 1962).

capital punishment.The question whether it is morally permissible for the state to execute any of its citizens and, if so, under what circumstances, has been debated

by philosophers, sociologists, and politicians ever since the middle of the eighteenth century The arguments supporting capital punishment have usually been divided into those based on ‘justice’, which in this context simply means retribution, and those based on ‘utility’ The appeal to *justice usually takes the following form: people deserve to suffer for wrongdoing In the case of criminal wrongdoing the suffering takes the form of legal

capital punishment 125

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*punishment; and justice requires that the most severe

crimes, especially murder, be punished with the severest

penalty—death It should be emphasized that somebody

who reasons in this way is not committed to a defence of

the *lex talionis—the principle of ‘an eye for an eye’.

There are four major utilitarian arguments favouring

the death penalty It is said to deter, and to prevent the

exe-cuted criminals from repeating their crimes, it is less cruel

than life imprisonment (and hence should be welcomed

by the criminal), and it brings a measure of satisfaction to

the family and friends of the victim as well as to other

citi-zens outraged by the crime

Of the arguments against capital punishment by far the

most important is that sooner or later innocent persons

are certain to be executed The only way to avoid this is to

abolish capital punishment altogether Another argument

is that capital punishment lowers the ‘tone’ of the society

in which it is practised Civilized societies do not tolerate

the torture of prisoners and they would not do so even if

torture could be shown to have a deterrent effect It has

also been argued by Dostoevsky and Camus that capital

punishment is unjust on retributionist assumptions

because the anticipatory suffering of the person who is to

be executed is immeasurably greater than that of his

vic-tim Finally, Arthur Koestler and Clarence Darrow have

argued that capital punishment must be unjust because

human beings never act freely and hence should not be

blamed and punished for even the most terrible acts

Koestler did not see that this argument would undermine

all punishment Darrow saw this and favoured the

aboli-tion of punishment altogether (as distinct from detenaboli-tion

for purposes of social protection)

By way of commentary it should be mentioned that

stat-istical studies in all parts of the world have shown that

capital punishment does not deter, or rather that its

deter-rent effect is no greater than that of life imprisonment If

anything, capital punishment tends to inflame certain

dis-turbed individuals and thus leads to an increase in murder

This fact, together with what is known about the fallibility

of witnesses and juries and the bias and even corruption of

prosecutors, has convinced many educated persons

throughout the world, regardless of their political

affili-ation, that there is no place for capital punishment in a

H A Bedau (ed.), The Death Penalty in America, 4th edn (New

York, 1988)

—— ‘Capital Punishment’, in H LaFollette (ed.), The Oxford

Handbook to Practical Ethics (Oxford, 2003).

Thorsten Sellin (ed.), Capital Punishment (New York, 1967).

care, ethics of.This term refers to a group of moral

reflec-tions about the moral emotion and virtue of care that

emerged from feminist theory The hypothesis that

‘women speak in a different voice’—‘the voice of care’—

rose to prominence in Carol Gilligan’s book In a Different

Voice (1982) Through empirical research, she claimed to

discover a female voice stressing empathic association

with others and a sense of being responsible and caring

Gilligan thus identified two modes of relationship and two modes of moral thinking: an ethic of care and an ethic of rights

Allied developments then occurred in philosophical ethics For example, Annette Baier argued that the reason-ing and methods of women in ethical theory is noticeably different from traditional theories She found in them the same different voice that Gilligan heard She criticizes the near-exclusive emphasis in traditional moral philosophy

on universal rules and principles, to the neglect of sym-pathy with and concern for others The ethics of care there-fore promotes traits in intimate personal relationships, such as sympathy, compassion, fidelity, discernment,

*feminism; feminist philosophy

A Baier, Moral Prejudices (Cambridge, Mass., 1994).

Carnap, Rudolf(1891–1970) German empiricist philoso-pher and logician who moved to the United States in 1935 Carnap was a pupil of Frege and much influenced by him,

as well as by Russell and Wittgenstein He was a prom-inent member of the *Vienna Circle and a leading expo-nent of *Logical Positivism before the Second World War Technical rigour was a hallmark of his important contri-butions to formal semantics, the philosophy of science, and the foundations of inductive *probability

Carnap’s most important early work was Der logische Aufbau der Welt (1928), translated under the title The Logical Structure of the World (1967) This attempted to spell

out in some detail the radical empiricist programme of reconstructing human knowledge of the social and physical world and other minds on the basis of individual experience, using as the sole starting-point the relation of remembered similarity between experiences Carnap originally believed that all meaningful physical concepts were definable in terms of experience, in accordance with

a strong version of the principle of *verifiability Later he moderated this view to accommodate the fact that the language of physics is not exhaustively translatable into the language of sense experience He also came to put more emphasis on his belief that the method of

con-struction used in the Aufbau could with equal legitimacy

be used to construct individual psychology on a physic-alist basis

In The Logical Syntax of Language (1934; Eng tr 1937),

Carnap deployed his technical skills to develop a rigorous formal account of the structure of any possible language, seeing this as a necessary preliminary to the pursuit of the only form of philosophical inquiry deemed legitimate by him—logical analysis In the foreword of that book he memorably states his view that ‘Philosophy is to

be replaced by the logic of science [and] the logic of science

is nothing other than the logical syntax of the language of science’ (p xiii) Later, however, Carnap became more concerned with the *semantics of natural and formal lan-guages, doing work which culminated in his important

and influential book Meaning and Necessity (1947), which

126 capital punishment

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laid the foundations of much subsequent work in the

semantics of *modal logic In that book Carnap argues in

favour of an alternative to Frege’s theory of *sense and

ref-erence, called by him the ‘method of extension and

inten-sion’ Carnap held that this method provided the most

economical account of the logical behaviour of

expres-sions in modal contexts—for instance, the expresexpres-sions ‘9’

and ‘7’ in the sentence ‘9 is necessarily greater than 7’ His

criticism of Frege involved a rejection of the traditional

category of *names, conceived as a class of expressions

each of which stood for a unique thing

After the Second World War, Carnap’s energies were

increasingly devoted to the development of inductive

logic as a branch of probability theory, resulting in his

magisterial volume Logical Foundations of Probability (1950)

and many subsequent publications This interest was

con-tinuous with his earlier ones, since his concern was to put

on a rigorous footing the notion, central to scientific

method, of the confirmation of a hypothesis by empirical

evidence Although he had abandoned a strong form of

the principle of verifiability, he continued to adhere to a

fundamentally empiricist theory of meaning which

required scientific hypotheses to be susceptible to empirical

confirmation He also, in consequence, adhered to the

*analytic–synthetic distinction, notwithstanding the

stric-tures of W V Quine—though their differences on this

issue were perhaps less substantial than they appeared to

be, since Carnap was always insistent that logical

princi-ples themselves are always a matter for freely chosen

con-vention, to be justified on pragmatic grounds In all

matters of logic and mathematics, Carnap espoused what

he called the principle of tolerance: ‘It is not our business

to set up prohibitions, but to arrive at conventions’

*confirmation; formal and material mode

R Carnap, The Logical Structure of the World and Pseudoproblems in

Philosophy, tr R A George (London, 1967).

—— Meaning and Necessity: A Study in Semantics and Modal Logic,

2nd edn (Chicago, 1956)

P A Schilpp (ed.), The Philosophy of Rudolf Carnap (La Salle, Ill.,

1963)

Carneades(214–129bc) Head of Plato’s *Academy, who

followed Arcesilaus in emphasizing the sceptical rather

than the dogmatic elements in Plato’s legacy Carneades

scandalized Cato the Elder by arguing in favour of justice

and against it on successive days Holding that certainty is

impossible and that we should always suspend

judge-ment, he nevertheless claimed that we should be guided

by the ‘probable’ (in the sense of ‘approvable’ or

persua-sive, not of statistical likelihood) Criticizing both Stoic

and Epicurean views in the debate on freedom and

determinism, he anticipated Gilbert Ryle on the truth of

future contingents and Richard Taylor on agent

caus-ation; but whether he himself did, or as a Sceptic

consist-ently could, assert a libertarian position is controversial

r.w.s

A A Long, Hellenistic Philosophy (London, 1974).

—— and D N Sedley (eds.), The Hellenistic Philosophers

(Cam-bridge, 1987) Texts and commentary

Carroll, Lewis(1832–98) Pseudonym of the Revd Charles Lutwidge Dodgson, a mathematics don at Christ Church, Oxford Best known for his Alice stories, which brim over with logical puzzles and absurdities and have been duly pillaged by philosophers Coming at the tail-end of the degenerating programme of Aristotelian logic, his contri-butions to formal logic are inevitably insignificant, their only lasting value being their testimony to his inimitable talent for devising extraordinary syllogisms Carroll’s most important philosophical article is the characteristic-ally quaint and deceptively light ‘What the Tortoise Said

to Achilles’ (Mind (1895) ) He hints at a deep problem

about the epistemology of valid inference, demonstrating that the acceptance of a rule of inference cannot be identi-fied with the acceptance of a conditional proposition

a.d.o

J Fisher (ed.), The Magic of Lewis Carroll (London, 1973) Special centenary issue of the journal Mind (1995), including the

original 1895 article

Cartesianism.Name given to the movement inaugurated

by René Descartes (after ‘Cartesius’, the Latin version of his name); it shaped the philosophical landscape of the early modern period, and its influence, even today, is by

no means entirely exhausted In the decades following Descartes’s death, Cartesianism was seen primarily as a new programme for physical science, based on

math-ematical principles Descartes had defined matter as res extensa, or ‘extended substance’, that is to say, whatever

has length, breadth, and height The Cartesian pro-gramme was to exhibit all physical phenomena as explic-able in terms of the ‘modes’ or modifications of extension;

in effect, this meant showing how all the apparent com-plexity and diversity of matter could be accounted for sim-ply by reference to the size, shape, and motion of the particles of which it was composed ‘I freely

acknow-ledge’, Descartes had written in his Principles of Philosophy

(1644) ‘that I recognize no matter in corporeal *things apart from that which the geometers call quantity, and take as the object of their demonstrations, i.e that to which every kind of division shape and motion is applic-able’ (pt ii, art 64)

The appeal of the Cartesian approach in the latter half

of the seventeenth century undoubtedly owed much to its rejection of occult forms and qualities, and its insistence that physics should invoke only the ‘clearly and distinctly perceivable’ properties of mathematics A growing body

of critics, however, pointed out that mere extension in three dimensions could yield only an inert and passive uni-verse To generate *motion in the system, the Cartesians had to have recourse to God, whom Descartes had described as ‘the primary cause of motion, who in the beginning created matter along with its motion and rest, and now preserves the same amount of motion as he put

there in the beginning’ (Principles, pt ii, art 36) Though

Cartesianism 127

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this may seem to be a piece of ad hoc metaphysics, the cash

value of the appeal to immutable and continuous divine

action in the Cartesian system was the rejection of the

Aristotelian assumption that all matter tended ‘naturally’

to come to rest, and its replacement with the Cartesian

principle of the persistence of motion in a straight line

(what has subsequently come to be known as the law of

inertia) The idea of the conservation of motion was

highly influential for the subsequent development of

physics In later Newtonian physics, however, what is

conserved is mass times velocity, and neither of these

notions is to be found in Descartes; as the working-out of

Descartes’s ‘rules of impact’ make clear, what is conserved

is ‘quantity of motion’, measured simply as the product of

size (volume) and speed (the latter factor, unlike the more

modern notion of velocity, is not held to be affected by a

change in direction of motion)

Although, from a scientific point of view, the eventual

downfall of Cartesian physics was a result of Isaac

New-ton’s formulating mathematical covering laws of far

greater predictive power than anything Descartes had

been able to devise, many of the philosophical debates

over Cartesianism centred on its denial of any inherent

power or force in matter To some, notably Descartes’s

deviant disciple Nicolas Malebranche, this was a positive

advantage: if *causality involves the necessitating of

effects, only God has the requisite power to count as a

genuine causal agent; matter is, of itself, wholly inert—

mere ‘extended stuff ’ For G W Leibniz, by contrast, it is

a violation of the *principle of sufficient reason to see

physics as merely a series of arbitrary, divinely decreed

covering laws; the behaviour of matter must proceed

from something inherent in its nature, and hence (contra

the Cartesians), some recourse must be had to the notion

of force or power in things Such debates indicate the

extent to which the ‘new’ Cartesian physics opened up

serious questions about the nature of causation in the late

seventeenth and early eighteenth century, paving the way

for David Hume’s eventual radical critique of the very

idea of causal power

Among philosophers today, the main feature of

Carte-sianism which remains of interest is its theory of the mind

Descartes, in the celebrated theory known as *dualism,

had maintained that the mind is an entirely separate

sub-stance from the body, and, moreover, that its nature is

wholly distinct from the nature of anything physical: it is

an incorporeal, indivisible, non-spatial, unextended thing,

which is ‘entirely distinct from the body, and would not

fail to be what it is even if the body did not exist’ (Discourse

on the Method, pt iv) The Cartesian view of the mind as a

*‘ghost in the machine’ of the body (to use Gilbert Ryle’s

celebrated phrase) has few takers nowadays To begin

with, its view of the nature of the mind remains essentially

obscure: we are simply told what the mind is not (not

extended, not divisible), but are not given any

explana-torily satisfying account of what it is Moreover, even

granted the existence of such supposed purely spiritual

substance, it is far from clear how it could interact with the

mechanism of the body in the required way When I decide to go for a walk my legs move, but if the chain of impulses generating the requisite muscle movements is traced back through the nervous system to the brain, the causal process is somehow mysteriously initiated by a ghostly *‘volition’ whose nature, and relationship to the observed physical events, remains beyond the reach of explanatory science The form of Cartesianism proposed

by Descartes’s disciples in the late seventeenth century was content to leave mind–body correlations as irre-ducible regularities decreed by God: God obligingly ordains that the required bodily movements occur when I decide to go for a walk; conversely, he ordains that sensa-tions of an appropriate kind (e.g of pain or of colour) should ‘arise’ in the soul when the organs of the body are stimulated Cartesianism thus typically leads to an *‘occa-sionalism’ with respect to the relation between mind and body: bodily events are the ‘occasion’ for the production

of mental events and vice versa, but such productivity remains beyond the reach of human science—not just something we cannot so far explain, but something that

no scientific account, however sophisticated, could ever

in principle explain

Cartesian attempts to resolve this puzzle tended to gen-erate further obscurities Descartes himself sometimes seems to have viewed the mind or soul as a kind of non-physical ‘homunculus’ dwelling inside the brain (he iden-tified the *pineal gland or conarion as the ‘principal seat’ of the soul) Some scholastic philosophers had argued for the existence of a common sensorium where the data from the five specialized senses are integrated (a notion

can-vassed by Aristotle (see De anima, bk iii, ch 1, 425a14) ) One might have expected Descartes to have rejected this idea, both in the light of his resolute hostility to received scholastic doctrine, and also because of his conception of the mind as an incorporeal substance; in fact, however, he not only accepted it, but incorporated it into his own the-ory of mind–body interaction The pineal gland receives data (via the nerves) from all parts of the body, and it is only after the data have been integrated in the gland into a unitary signal or impression that any sensory awareness can occur ‘The mind’, Descartes wrote in the Sixth Medi-tation, ‘is not immediately affected by all parts of the body, but only by the brain, or perhaps just by one small part of the brain, namely the part containing the “common

sense”.’ In his later work, The Passions of the Soul, Descartes

observes that ‘there must necessarily be some place where the two images coming through the two eyes, or the two impressions coming from a single object through the double organs of any other sense, can come together in a single image or impression before reaching the soul, so that they do not present to it two objects instead of one’ (art 32) The argument is a curious one, since it is not at first sight apparent why a unitary image in the conscious mind requires a unitary signal or impression in the brain Writing to Mersenne on 24 December 1640, Descartes reflected that ‘the only alternative is to suppose that the soul is not joined immediately to any solid part of the

128 Cartesianism

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body, but only to the animal spirits which are in its

con-cavities, and which enter or leave it continually like the

water of a river That would certainly be thought too

absurd.’ The suggestion seems far from absurd to the

modern reader, accustomed to the notion that

*con-sciousness arises from just such a shifting and elusive

inter-play of electrical activity in the cerebral cortex But to have

contemplated the possibility that consciousness could

arise from purely physical processes would have taken

Descartes away from dualism entirely, and have made the

notion of a separate substance called the mind or soul

redundant—a step the Cartesians were not prepared to

take, since they followed Descartes in insisting that the

complexities of conscious thought could never be

explained by the operations of ‘mere matter’

The reason that the Cartesian approach to the mind is

not yet extinct is that some philosophers continue to

maintain that there is something about consciousness that

eludes the explanatory apparatus of physical science Here

a further feature of Cartesianism has been very influential,

namely its stress on the subjective or ‘first-personal’

aspects of human experience The Cartesian search for

knowledge starts from the private meditations of the

soli-tary thinker; and in the course of those meditations

Descartes rapidly arrives at the doctrine of the perfect

‘transparency’ of the mind—the view that I have direct

and privileged access to the contents of my mind, and that

I know my own nature as a conscious being better than

that of any ‘external’ objects From here, Descartes moves

on to the conclusion that my own experiences (e.g of

hunger, thirst, pleasure, and pain) have a phenomenal

character that is vividly accessible ‘from the inside’, but

which necessarily lacks the kind of objective clarity and

distinctness that belongs to the quantitative language of

physical science This notion of the essential privacy of our

conscious experience has been attacked in our own

cen-tury, notably by Ludwig Wittgenstein, but still retains a

hold Thus the contemporary philosopher Thomas Nagel

has argued that the character of experience, ‘what it is like’

for the experiencing organism, cannot be captured by any

physicalist account of the world Such a perspective may

not inappropriately be called ‘Cartesian’ even though its

advocates tend to reject Descartes’s doctrine of a

non-physical separable substance called ‘the mind’, since it

continues to be held that certain aspects of the mental are

sui generis and not reducible to the objective descriptions

of physics Although it is too early to say whether such

residual Cartesianism will retain a permanent

philosoph-ical foothold, its present survival, over 300 years after the

death of its founder, is testimony to the enduring appeal

of Descartes’s approach to the complex problem of

con-sciousness and its relation to the physical word j.cot

*light of nature

D M Clarke, Occult Powers and Hypotheses (Oxford, 1989).

T M Lennon et al (eds.), Problems of Cartesianism (Kingston, 1982).

L E Loeb, From Descartes to Hume (Ithaca, NY, 1981).

S Nadler, Causation in Early Modern Philosophy (Pennsylvania,

1993)

T Schmaltz, Radical Cartesianism (Cambridge, 2002).

R A Watson, The Breakdown of Cartesian Metaphysics (Atlantic

Highlands, NJ, 1987)

Cartwright, Nancy (1943– ) American philosopher (at Stanford and the London School of Econoics) who views the higher-level laws of physics as instruments of explan-ation and prediction which are not true, and whose pre-dictive and explanatory value does not require them to be true Unlike many instrumentalists, she is a realist about the causal factors mentioned by the *laws—including so-called ‘theoretical entities’ generally considered unob-servable The phenomena that physicists try to explain, she says, are produced by interactions of non-Humean causal factors which are too numerous, whose interac-tions are too complicated, and whose influences differ too much from one physical setting to another for the phe-nomena they produce to be systematically explained or predicted without recourse to simplifications, idealiza-tions, and unrealistic generalizations The falsity of the laws, simplifications, and idealizations are the price physi-cists must pay for useful and cognitively manageable pic-tures of the physical universe Cartwright has written extensively on scientific explanation, the epistemology of science, and problems in the philosophy of quantum physics She was married to Stuart Hampshire j.b.b

*methodology

Nancy Cartwright, How the Laws of Physics Lie (Oxford, 1983).

—— The Dappled World: A Study of the Boundaries of Science

(Cam-bridge, 1999)

Cassirer, Ernst (1874–1945) German philosopher who was a neo-Kantian, but differed from Kant in two respects First, while he agreed that we need some a priori *cat-egories to organize experience, these are not, as Kant believed, the same at all times: our categories develop over history Second, his early researches in the philoso-phy of science, especially on the mathematization of physics, led him beyond Kant’s central focus on scientific knowledge to a consideration of all symbolizing activ-ities—language, myth, religion, etc.—which are, on his view, the distinguishing feature of man and are all, along with science, of equal status

His Philosophy of Symbolic Forms (1923–31; tr New

Haven, Conn., 1953–7) attempts to give a unified account

of ‘symbolic representation’ Our systems of symbols con-stitute the world, since there is no reality in itself apart from our symbolizations Conversely, man himself is essentially the source of various symbolizing activities The philosopher’s task is thus to describe man’s symboliz-ing activities, and the categories involved in them,

*neo-Kantianism

P A Schilpp (ed.), The Philosophy of Ernst Cassirer (New York, 1949).

casuistry.The art of resolving problems of *conscience The starting-point for the exercise of casuistry is the

casuistry 129

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