Tracking Reason: Proof, Consequence, and Truth

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2005 Hardcover N jacket Brand New, Hardcover with Dust Jacket, clean, tight, unmarked 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. Read more Show Less

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Overview


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.
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Editorial Reviews

From the Publisher

"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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Product Details

  • ISBN-13: 9780195187137
  • Publisher: Oxford University Press, USA
  • Publication date: 11/18/2005
  • Pages: 256
  • Product dimensions: 9.30 (w) x 6.20 (h) x 1.00 (d)

Meet the Author

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

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Table of Contents

1 Truth and truth conditions 13
2 The transcendence of truth 37
3 Anaphorically unrestricted quantifiers 60
4 Regimentation and paradox 74
5 The inconsistency of natural languages 92
6 The uniqueness of mathematics as a social practice 123
7 The derivation-indicator view of mathematical practice 140
8 How to nominalize formalism 168
9 Semantics and the notion of consequence 194
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