Tracking Reason Proof, Consequence, and Truth

Name: Tracking Reason Proof, Consequence, and Truth
Price: 6.75 USD
Availability: InStock
ISBN: 9780195187137

ISBN-10: 019518713X

ISBN-13: 9780195187137

Edition: 2005

Authors: Jody Azzouni

List price: $65.00

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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.

Book details

List price: $65.00
Copyright year: 2005
Publisher: Oxford University Press, Incorporated
Publication date: 12/1/2005
Binding: Hardcover
Pages: 256
Size: 9.29" wide x 6.18" long x 1.00" tall
Weight: 1.122
Language: English



General Introduction



Truth


Introduction to Part I



Truth and Truth Conditions



The Transcendence of Truth



Anaphorically Unrestricted Quantifiers



Regimentation and Paradox



The Inconsistency of Natural Languages


Conclusion to Part I



Mathematical Proof


Introduction to Part II



The Uniqueness of Mathematics as a Social Practice



The Derivation-Indicator View of Mathematical Practice



How to Nominalize Formalism


Conclusion to Part II



Semantics and the Notion of Consequence


Introduction to Part III



Semantics and the Notion of Consequence


Conclusion to Part III


General Conclusion


Bibliography


Index