Tracking Reason : Proof, Consequence, and Truth: Proof, Consequence, and Truth (Google eBook)

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Oxford University Press, Nov 4, 2005 - Philosophy - 256 pages
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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.
  

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Contents

General Introduction
3
Part I Truth
7
Part II Mathematical Proof
115
Part III Semantics and the Notion of Consequence
189
General Conclusion
229
Bibliography
231
Index
239
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About the author (2005)


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

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