9780195187137

Tracking Reason Proof, Consequence, and Truth

by
  • ISBN13:

    9780195187137

  • ISBN10:

    019518713X

  • Format: Hardcover
  • Copyright: 2005-12-01
  • Publisher: Oxford University Press

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Summary

When ordinary people--mathematicians among them--take something to follow (deductively) from something else, they are exposing the backbone of our self-ascribed ability to reason. Jody Azzouni investigates the connection between that ordinary notion of consequence and the formal analoguesinvented by logicians. One claim of the book is that, despite our apparent intuitive grasp of consequence, we do not introspect rules by which we reason, nor do we grasp the scope and range of the domain, as it were, of our reasoning. This point is illustrated with a close analysis of a paradigmaticcase of ordinary reasoning: mathematical proof.

Author Biography


Jody Azzouni is Professor of Philosophy at Tufts University. He also the author of Deflating Existential Consequence (OUP 2004).

Table of Contents

General Introduction 3(6)
Part I. Truth
Introduction to Part I
9(4)
Truth and Truth Conditions
13(24)
The Transcendence of Truth
37(23)
Anaphorically Unrestricted Quantifiers
60(14)
Regimentation and Paradox
74(18)
The Inconsistency of Natural Languages
92(31)
Conclusion to Part I
109(8)
Part II. Mathematical Proof
Introduction to Part II
117(6)
The Uniqueness of Mathematics as a Social Practice
123(17)
The Derivation-Indicator View of Mathematical Practice
140(28)
How to Nominalize Formalism
168(26)
Conclusion to Part II
186(5)
Part III. Semantics and the Notion of Consequence
Introduction to Part III
191(3)
Semantics and the Notion of Consequence
194(35)
Conclusion to Part III
221(8)
General Conclusion 229(2)
Bibliography 231(8)
Index 239

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