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Auteur : Peter Smith
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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.

Télécharger An Introduction to Gödel's Theorems (Cambridge Introductions to Philosophy) (English Edition) de Peter Smith Livres Pdf Epub

An Introduction to Gödel's Theorems - Cambridge Core ~ 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.

An Introduction to Gödel’s Theorems ~ An Introduction to Gödel’s Theorems 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 .

An Introduction to Gödel's Theorems - Cambridge Core ~ An Introduction to Gödel’s Theorems will work very well either as a textbook or as an introduction for any reader who wants a thorough understanding of some of the central ideas at the intersection of philosophy, mathematics and computer science.' Christopher Leary - State University of New York

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An introduction to Gödel's theorems (Book, 2013) [WorldCat ~ An introduction to Gödel's theorems. [Peter Smith] . Edition/Format: Print book: English : 2nd edView all editions and formats: Summary: 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 Read more. Rating: (not yet rated) 0 with reviews - Be .

An Introduction to G¨odel’s Theorems ~ Theorems; very often, these are simply referred to as ‘G¨odel’s Theorems’. His startling results settled (or at least, seemed to settle) some of the crucial ques-tions of the day concerning the foundations of mathematics. They remain of the greatest significance for the philosophy of mathematics – though just what

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An Introduction to Gödel's Theorems: Smith, Peter ~ A clear and accessible treatment of Gödel's famous, intriguing, but much misunderstood incompleteness theorems, extensively revised in a second edition. 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.

Gödel’s Incompleteness Theorems (Stanford Encyclopedia of ~ 1. Introduction 1.1 Outline. Gödel’s incompleteness theorems are among the most important results in modern logic. These discoveries revolutionized the understanding of mathematics and logic, and had dramatic implications for the philosophy of mathematics.

Peter Smith, An Introduction to Gödel's Theorems - PhilPapers ~ An Introduction to Gödel's Theorems. Peter Smith. Cambridge University Press (2007) Authors Peter R. R. Smith University of Glasgow Abstract 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 .

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Description: An introduction to Gödel's theorems ~ An introduction to Gödel's theorems [E-Book] / Peter Smith. An introduction to Gödel's theorems [E-Book] / Peter Smith. 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.

Cambridge Introductions to Philosophy Ser.: An ~ An Introduction to G del's Theorems will work very well either as a textbook or as an introduction for any reader who wants a thorough understanding of some of the central ideas at the intersection of philosophy, mathematics and computer science.' Christopher Leary, State University of New York, 'Peter Smith has succeeded in writing an excellent introduction to Gödel's incompleteness theorems .

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