Gdel's Theorem: A Very Short Introduction

Kurt Gdel 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. Gdel's Theorem has since established itself as a landmark intellectual achievement, having a profound impact on today's mathematical ideas. Gdel 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. Adrian 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

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