Knowledge and Its Limits

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Format: Paperback
Pub. Date: 2002-12-19
Publisher(s): Oxford University Press
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Summary

Knowledge and its Limits presents a systematic new conception of knowledge as a fundamental kind of mental state sensitive to the knower's environment. It makes a major contribution to the debate between externalist and internalist philosophies of mind, and breaks radically with theepistemological tradition of analysing knowledge in terms of true belief. The theory casts light on a wide variety of philosophical issues: the problem of scepticism, the nature of evidence, probability and assertion, the dispute between realism and anti-realism and the paradox of the surpriseexamination. Williamson relates the new conception to structural limits on knowledge which imply that what can be known never exhausts what is true. The arguments are illustrated by rigorous models based on epistemic logic and probability theory. The result is a new way of doing epistemology for thetwenty-first century.

Author Biography


Timothy Williamson is Professor of Philosophy at the University of Edinburgh.

Table of Contents

Introduction 1(1)
Knowing and acting
1(1)
Unanalysable knowledge
2(3)
Factive mental states
5(3)
Knowledge as the justification of belief and assertion
8(3)
The myth of epistemic transparency
11(7)
Unknowable truths
18(3)
A State of Mind
21(28)
Factive attitudes
21(2)
Mental states, first-person accessibility, and scepticism
23(4)
Knowledge and analysis
27(6)
Knowing as the most general factive mental state
33(8)
Knowing and believing
41(8)
Broadness
49(16)
Internalism and externalism
49(1)
Broad and narrow conditions
49(5)
Mental differences between knowing and believing
54(6)
The causal efficacy of knowledge
60(5)
Primeness
65(28)
Prime and composite conditions
65(1)
Arguments for primeness
66(7)
Free recombination
73(2)
The explanatory value of prime conditions
75(5)
The value of generality
80(3)
Explanation and correlation coefficients
83(5)
Primeness and the causal order
88(1)
Non-conjunctive decompositions
89(4)
Anti-Luminosity
93(21)
Cognitive homes
93(1)
Luminosity
94(2)
An argument against luminosity
96(2)
Reliability
98(4)
Sorites arguments
102(4)
Generalizations
106(3)
Scientific tests
109(1)
Assertibility conditions
110(4)
Margins and Iterations
114(21)
Knowing that one knows
114(6)
Further iterations
120(3)
Close possibilities
123(7)
Point estimates
130(1)
Iterated interpersonal knowledge
131(4)
An Application
135(12)
Surprise Examinations
135(8)
Conditionally Unexpected Examinations
143(4)
Sensitivity
147(17)
Preview
147(1)
Counterfactual sensitivity
147(3)
Counterfactuals and scepticism
150(2)
Methods
152(4)
Contextualist senitivity
156(5)
Sensitivity and broad content
161(3)
Scepticism
164(20)
Plan
164(1)
Scepticism and the non-symmetry of epistemic accessibility
164(5)
Difference of evidence in good and bad cases
169(1)
An argument for sameness of evidence
170(3)
The phenomenal conception of evidence
173(1)
Sameness of evidence and the sorites
174(4)
The non-transparency of rationality
178(3)
Scepticism without sameness of evidence
181(3)
Evidence
184(25)
Knowledge as justifying belief
184(2)
Bodies of evidence
186(4)
Access to evidence
190(3)
An argument
193(1)
Evidence as propositional
194(6)
Propositional evidence as knowledge
200(3)
Knowledge as evidence
203(4)
Non-pragmatic justification
207(2)
Evidential Probability
209(29)
Vague probability
209(4)
Uncertain evidence
213(8)
Evidence and knowledge
221(3)
Epistemic accessibility
224(4)
A simple model
228(2)
A puzzling phenomenon
230(8)
Assertion
238(32)
Rules of assertion
238(6)
The truth account
244(5)
The knowledge account
249(6)
Objections to the knowledge account, and replies
255(5)
The BK and RBK accounts
260(3)
Mathematical assertions
263(3)
The point of assertion
266(4)
Structural Unknowability
270(32)
Fitch's argument
270(5)
Distribution over conjunction
275(10)
Quantification into sentence position
285(4)
Unanswerable questions
289(1)
Trans-world knowability
290(12)
Appendix 1 Correlation Coefficients 302(3)
Appendix 2 Counting Iterations of Knowledge 305(2)
Appendix 3 A Formal Model of Slight Insensitivity Almost Everywhere 307(4)
Appendix 4 Iterated Probabilities in Epistemic Logic (Proofs) 311(5)
Appendix 5 A Non-Symmetric Epistemic Model 316(2)
Appendix 6 Distribution over Conjunction 318(3)
Bibliography 321(12)
Index 333

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