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An introduction to Gödel's theorems

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An introduction to Gödel's theorems

Autor: Smith, Peter
Ausgabe: Second edition
Ort, Verlag, Jahr: Cambridge, Cambridge University Press, 2013
Umfang: 1 Online-Ressource (xvi, 388 Seiten)
ISBN/ISSN/ISMN 9781139149105
Schlagwortketten: Gödelscher Unvollständigkeitssatz

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Autor:Smith, Peter
Titel:An introduction to Gödel's theorems
Von:Peter Smith
Ausgabe:Second edition
Ort:Cambridge
Verlag:Cambridge University Press
Jahr:2013
Umfang:1 Online-Ressource (xvi, 388 Seiten)
ISBN/ISSN/ISMN:9781139149105
Anmerkungen:Title from publisher's bibliographic system (viewed on 05 Oct 2015)
Zusammenfassung: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
Reihe:Cambridge introductions to philosophy
Systematik:CI 2305
Systematik:CC 2000
Systematik:CC 2600
Systematik:SK 130
BV-Nummer:BV043919628
Andere Ausgabe:Erscheint auch als
Andere Ausgabe:Druck-Ausgabe, Hardcover
Andere Ausgabe:978-1-107-02284-3
Andere Ausgabe:Erscheint auch als
Andere Ausgabe:Druck-Ausgabe, Paperback
Andere Ausgabe:978-1-107-60675-3