Tracking Reason

Proof, Consequence, and Truth

Nonfiction, Science & Nature, Mathematics, Logic, Religion & Spirituality, Philosophy, Mind & Body
Cover of the book Tracking Reason by Jody Azzouni, Oxford University Press
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Author: Jody Azzouni ISBN: 9780190293147
Publisher: Oxford University Press Publication: December 1, 2005
Imprint: Oxford University Press Language: English
Author: Jody Azzouni
ISBN: 9780190293147
Publisher: Oxford University Press
Publication: December 1, 2005
Imprint: Oxford University Press
Language: English

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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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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