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Item Details
| Title:
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AN INTRODUCTION TO GODEL'S THEOREMS
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| By: |
Peter Smith |
| Format: |
Electronic book text |
| List price:
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£360.00 |
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We currently do not stock this item, please contact the publisher directly for
further information.
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| ISBN 10: |
1139149105 |
| ISBN 13: |
9781139149105 |
| Publisher: |
CAMBRIDGE UNIVERSITY PRESS |
| Pub. date: |
5 March, 2013 |
| Edition: |
2nd Revised edition |
| Series: |
Cambridge Introductions to Philosophy |
| Description: |
A clear and accessible treatment of Godel's famous, intriguing, but much misunderstood incompleteness theorems, extensively revised in a second edition. |
| Synopsis: |
In 1931, the young Kurt Godel 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. Godel 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. |
| Publication: |
UK |
| Imprint: |
Cambridge University Press (Virtual Publishing) |
| Returns: |
Non-returnable |
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