9781107606753

An Introduction to Gödel's Theorems

Format: Paperback

ISBN13: 9781107606753

Paperback|9781107606753


Overview

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.

ISBN-13

9781107606753

ISBN-10

1107606756

Weight

1.74 Pounds

Dimensions

6.85 x 0.91 x 9.72 In

List Price

$41.99

Edition

2nd Edition

Format

Paperback

Language

English

Pages

402 pages

Publisher

Cambridge University Press

Published On

2013-02-21



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