Compare Godel's Theorem: A Very Short Introduction by A. W. Moore, Paperback | Indigo Chapters

Very Short Introductions: Brilliant, Sharp, InspiringKurt Godel 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 considerablemathematical interest, while also raising various deep philosophical questions. Godel's Theorem has since established itself as a landmark intellectual achievement, having a profound impact on today's mathematical ideas. Godel and his theorem have attracted something of a cult following, though histheorem 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. Adrian Moore provides a clear statement of the theorem, presenting two proofs, each of which has somethingdistinctive 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 computerABOUT 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, andenthusiasm to make interesting and challenging topics highly readable. | Godel's Theorem: A Very Short Introduction by A. W. Moore, Paperback | Indigo Chapters