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Science & Mathematics - Gödel's Theorem: A Very Short Introduction (Very Short Introductions)

Description

Book Synopsis: Very Short Introductions: Brilliant, Sharp, Inspiring

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

Details

Looking for a mind-bending read that will challenge your very understanding of mathematics? Look no further than Gödel's Theorem: A Very Short Introduction. This brilliant book by Kurt Gödel explores the groundbreaking theorem that shook the foundations of mathematics nearly a century ago. With its deep philosophical implications and profound impact on modern mathematical ideas, Gödel's Theorem has attracted a cult-like following among enthusiasts. Get ready to be inspired and captivated by this landmark intellectual achievement.

Authored by A. W. Moore, this Very Short Introduction places Gödel's Theorem in its historical and intellectual context, making it accessible to readers from all backgrounds. Moore presents a clear statement of the theorem and provides two unique proofs that shed light on its content. In addition, the book addresses common misunderstandings surrounding the theorem, ensuring that readers grasp its true significance.

But Gödel's Theorem: A Very Short Introduction offers more than just mathematical insights. It also delves into the philosophical implications of the theorem, addressing the age-old question of whether the human mind possesses mathematical powers beyond those of any possible computer. Prepare to expand your horizons and engage in thought-provoking discussions about the nature of mathematics.

About the Series:

The Very Short Introductions series from Oxford University Press covers a wide range of subjects, providing pocket-sized books that offer a quick and convenient way to delve into a new topic. With expert authors who combine facts, analysis, perspective, new ideas, and enthusiasm, these books make even complex subjects highly readable and engaging. Don't miss your chance to get ahead and explore the world of mathematics with Gödel's Theorem: A Very Short Introduction.

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