Beyond the Limits of Thought

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ISBN: 9780199244218 | 0199244219
Cover: Paperback
Copyright: 2/27/2003

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This second and extended edition of Priest's classic includes new chapters on Heidegger and Nagarjuna, as well as reflections on reactions to the first edition. Praise for previous edition: "a splendid tour de force , one which should be read by every philosopher..."-- Philosophical Quarterly "[H]ighly entertaining and provocative...an engaging and instructive tour through some of the most perplexing features of our own conceptual finitude..."-- TLS

Preface to the First Edition

Preface to the Second Edition

xvii

Introduction

(2)

Beyond the limit

(6)

The limits of thought

(1)

Dialetheism

(2)

The history of limits

(1)

The structure of the book

(1)

... and the role of logic in it

(2)

Part 1 The limits of thought in pre-Kantian philosophy

(62)

The limits of expression

(14)

Introduction

(1)

The flux

(1)

Plato against Cratylus

(3)

The stability of meaning

(1)

Aristotle on substance and change

(1)

Prime matter

(2)

The problem with prime matter

(1)

Subject and form

(2)

Cusanus on God

(1)

Objects and categories

(2)

Conclusion

(1)

The limits of iteration

(15)

Introduction

(1)

Generated infinities

(1)

... in Aristotle

(1)

Time

(1)

Motion

(2)

The continuum

(2)

Infinite parts

(2)

Aquinas' cosmological argument

(2)

Leibniz' repair

(2)

The principle of sufficient reason

(2)

Conclusion

(1)

The limits of cognition

(16)

Introduction

(1)

Varieties of skepticism

(1)

Sextus' argument for skepticism

(2)

Analysis of the argument

(2)

Skepticism and self-reference

(2)

Protagorean relativism

(1)

The argument for relativism

(1)

Socrates' attack

(2)

Nothing is true

(1)

Cognition and paradox

(3)

Conclusion

(1)

The limits of conception

(15)

Introduction

(1)

Anselm's ontological argument

(1)

The inconceivability of God

(2)

The characterisation principle

(1)

Berkeley's master argument for idealism

(1)

Analysis, stage I

(2)

Analysis, stage II

(2)

Berkeley's response

(3)

Some objections

(1)

Berkeley's paradox

(2)

Conclusion

(1)

Part 2 The limits of thought in Kant and Hegel

(40)

Noumena and the categories

(12)

Introduction

(1)

Phenomena and noumena

(1)

The categories of judgment

(2)

The applicability of the categories

(2)

The law of causation

(1)

The contradictory nature of noumena

(3)

Analogy

(2)

Conclusion

(1)

Kant's antinomies

(17)

Introduction

(1)

The transcendental illusion

(2)

The antinomies: their abstract structure

(1)

First antinomy: the beginning of the cosmos

(2)

Second antinomy: the divisibility of matter

(2)

Third antinomy: causal chains

(2)

Fourth antinomy: a necessary being

(2)

Kant's solution(s)

(2)

Evaluation

(2)

Fifth antinomy: the limit of thought

100

(2)

Conclusion

101

(1)

Hegel's infinities

102

(9)

Introduction

102

(1)

Hegel's critique of Kant

102

(1)

Contradiction in the world

103

(1)

Hegel's dialectic

104

(1)

The false infinite

105

(2)

The true infinite

107

(4)

Conclusion

109

(2)

Part 3 Limits and the paradoxes of self-reference

111

(59)

Absolute infinity

113

(15)

Introduction

113

(1)

The ordinals

113

(2)

Cantor's absolute, mark I

115

(2)

Diagonalisation

117

(2)

Paradox

119

(1)

Kant and Cantor

120

(1)

Cantor's absolute, mark II

121

(2)

The domain principle

123

(2)

... and its defence

125

(3)

Conclusion

126

(2)

Vicious circles

128

(13)

Introduction

128

(1)

Russell's paradox

128

(1)

Russell's schema

129

(2)

Difinability

131

(2)

The inclosure schema

133

(2)

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Beyond the Limits of Thought

Summary

Table of Contents

Supplemental Materials