Sofort lieferbar (Download)
Very Short Introductions: Brilliant, Sharp, Inspiring
Kurt G? del first published his celebrated theorem, showing that no axiomatization can determine the whole truth and nothing but the truth concerning arithmetic, nearly a century ago. The theorem challenged prevalent presuppositions about the nature of mathematics and was consequently of considerable mathematical interest, while also raising various deep philosophical questions. G? del's Theorem has since established itself as a landmark intellectual achievement, having a profound impact on today's mathematical ideas. G? del and his theorem have attracted something of a cult following, though his theorem is often misunderstood.
This Very Short Introduction places the theorem in its intellectual and historical context, and explains the key concepts as well as common misunderstandings of what it actually states. A. W. Moore provides a clear statement of the theorem, presenting two proofs, each of which has something distinctive to teach about its content. Moore also discusses the most important philosophical implications of the theorem. In particular, Moore addresses the famous question of whether the theorem shows the human mind to have mathematical powers beyond those of any possible computer
ABOUT THE SERIES: The Very Short Introductions series from Oxford University Press contains hundreds of titles in almost every subject area. These pocket-sized books are the perfect way to get ahead in a new subject quickly. Our expert authors combine facts, analysis, perspective, new ideas, and enthusiasm to make interesting and challenging topics highly readable.
Kurt G? del first published his celebrated theorem, showing that no axiomatization can determine the whole truth and nothing but the truth concerning arithmetic, nearly a century ago. The theorem challenged prevalent presuppositions about the nature of mathematics and was consequently of considerable mathematical interest, while also raising various deep philosophical questions. G? del's Theorem has since established itself as a landmark intellectual achievement, having a profound impact on today's mathematical ideas. G? del and his theorem have attracted something of a cult following, though his theorem is often misunderstood.
This Very Short Introduction places the theorem in its intellectual and historical context, and explains the key concepts as well as common misunderstandings of what it actually states. A. W. Moore provides a clear statement of the theorem, presenting two proofs, each of which has something distinctive to teach about its content. Moore also discusses the most important philosophical implications of the theorem. In particular, Moore addresses the famous question of whether the theorem shows the human mind to have mathematical powers beyond those of any possible computer
ABOUT THE SERIES: The Very Short Introductions series from Oxford University Press contains hundreds of titles in almost every subject area. These pocket-sized books are the perfect way to get ahead in a new subject quickly. Our expert authors combine facts, analysis, perspective, new ideas, and enthusiasm to make interesting and challenging topics highly readable.
Mehr aus dieser Reihe
Produktdetails
Erscheinungsdatum
10. November 2022
Sprache
englisch
Seitenanzahl
160
Dateigröße
0,82 MB
Reihe
Very Short Introductions
Autor/Autorin
A. W. Moore
Verlag/Hersteller
Kopierschutz
mit Adobe-DRM-Kopierschutz
Produktart
EBOOK
Dateiformat
EPUB
ISBN
9780192663580
Entdecken Sie mehr
Bewertungen
0 Bewertungen
Es wurden noch keine Bewertungen abgegeben. Schreiben Sie die erste Bewertung zu "Gödel's Theorem" und helfen Sie damit anderen bei der Kaufentscheidung.