An Introduction to Gödel's Theorems (Cambridge Introductions to Philosophy)

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9781107606753: An Introduction to Gödel's Theorems (Cambridge Introductions to Philosophy)

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.

Les informations fournies dans la section « Synopsis » peuvent faire référence à une autre édition de ce titre.

Book Description :

An extensively rewritten second edition of this best-selling standard text for graduates and upper-level undergraduate students of logic, philosophy of mathematics, and pure mathematics. A clear and accessible treatment of Gödel's famous, intriguing, but much misunderstood incompleteness theorems.

About the Author :

Peter Smith was formerly Senior Lecturer in Philosophy at the University of Cambridge. His books include Explaining Chaos (1998) and An Introduction to Formal Logic (2003) and he is also a former editor of the journal Analysis.

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Description du livre CAMBRIDGE UNIVERSITY PRESS, United Kingdom, 2013. Paperback. État : New. 2nd Revised edition. Language: English . Brand New Book. 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. N° de réf. du libraire AAA9781107606753

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Description du livre CAMBRIDGE UNIVERSITY PRESS, United Kingdom, 2013. Paperback. État : New. 2nd Revised edition. Language: English . Brand New Book. 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. N° de réf. du libraire AAA9781107606753

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Description du livre Cambridge University Press. Paperback. État : new. BRAND NEW, An Introduction to Godel's Theorems (2nd Revised edition), Peter Smith, 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. N° de réf. du libraire B9781107606753

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Description du livre Cambridge University Press, 2013. État : New. 2013. 2nd Edition. Paperback. A clear and accessible treatment of Godel's famous, intriguing, but much misunderstood incompleteness theorems, extensively revised in a second edition. Series: Cambridge Introductions to Philosophy. Num Pages: 402 pages, illustrations. BIC Classification: HPL; PBCD. Category: (P) Professional & Vocational; (U) Tertiary Education (US: College). Dimension: 247 x 179 x 19. Weight in Grams: 798. Series: Cambridge Introductions to Philosophy. 402 pages. A clear and accessible treatment of Godel's famous, intriguing, but much misunderstood incompleteness theorems, extensively revised in a second edition. Cateogry: (P) Professional & Vocational; (U) Tertiary Education (US: College). BIC Classification: HPL; PBCD. Dimension: 247 x 179 x 19. Weight: 796. . . . . . . N° de réf. du libraire V9781107606753

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