Tracking Reason : Proof, Consequence, and Truth - Jody Azzouni

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Tracking Reason

Proof, Consequence, and Truth

By: Jody Azzouni

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Hardcover | 1 December 2005

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256 Pages

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23.39 x 15.6 x 1.6

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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 analogues invented 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 paradigmatic case of ordinary reasoning: mathematical proof.

Industry Reviews

"Tracking Reason introduces exciting new ideas and proposes original and sophisticated solutions to difficult philosophical problems. Any reader interested in the philosophy of logic, language, or mathematicswill no doubt benefit from Azzouni's careful and detailed development and defense of these views."--Mathematical Reviews "Tracking Reason introduces exciting new ideas and proposes original and sophisticated solutions to difficult philosophical problems. Any reader interested in the philosophy of logic, language, or mathematicswill no doubt benefit from Azzouni's careful and detailed development and defense of these views."--Mathematical Reviews

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General Introduction	p. 3
Truth
Introduction to Part I	p. 9
Truth and Truth Conditions	p. 13
The Transcendence of Truth	p. 37
Anaphorically Unrestricted Quantifiers	p. 60
Regimentation and Paradox	p. 74
The Inconsistency of Natural Languages	p. 92
Conclusion to Part I	p. 109
Mathematical Proof
Introduction to Part II	p. 117
The Uniqueness of Mathematics as a Social Practice	p. 123
The Derivation-Indicator View of Mathematical Practice	p. 140
How to Nominalize Formalism	p. 168
Conclusion to Part II	p. 186
Semantics and the Notion of Consequence
Introduction to Part III	p. 191
Semantics and the Notion of Consequence	p. 194
Conclusion to Part III	p. 221
General Conclusion	p. 229
Bibliography	p. 231
Index	p. 239
Table of Contents provided by Ingram. All Rights Reserved.

Tracking Reason

Proof, Consequence, and Truth

At a Glance

Hardcover

Industry Reviews

Shipping

How to return your order

Defective items

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