Tracking Reason: Proof, Consequence, and Truth

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Название: Tracking Reason: Proof, Consequence, and Truth

Автор: Jody Azzouni

Издательство: Oxford University Press, USA

Год: December 1, 2005

Формат: pdf

Размер: 1.06 Mb

ISBN-10: 019518713X

ISBN-13: 978-0195187137

Язык: 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.

Review

"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