An Introduction to Gödel's Theorems

An Introduction to Gödel's Theorems - Cambridge Introductions to Philosophy

Second edition

Paperback (21 Feb 2013) | English

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Synopsis

In 1931, the young Kurt Gödel published his First Incompleteness Theorem, which tells us that, for any sufficiently rich theory of arithmetic, there are some arithmetical truths the theory cannot prove. This remarkable result is among the most intriguing (and most misunderstood) in logic. Gödel also outlined an equally significant Second Incompleteness Theorem. How are these Theorems established, and why do they matter? Peter Smith answers these questions by presenting an unusual variety of proofs for the First Theorem, showing how to prove the Second Theorem, and exploring a family of related results (including some not easily available elsewhere). The formal explanations are interwoven with discussions of the wider significance of the two Theorems. This book - extensively rewritten for its second edition - will be accessible to philosophy students with a limited formal background. It is equally suitable for mathematics students taking a first course in mathematical logic.

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Cambridge University Press

Cambridge University Press

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Book information

ISBN: 9781107606753
Publisher: Cambridge University Press
Imprint: Cambridge University Press
Pub date:
Edition: Second edition
DEWEY: 511.3
DEWEY edition: 23
Language: English
Number of pages: xvi, 388
Weight: 696g
Height: 247mm
Width: 179mm
Spine width: 19mm