Goedel's Theorem: A Very Short Introduction

Kurt Gödel's theorem states that no axiomatization can determine the whole truth and nothing but the truth concerning arithmetic. It has established itself as a landmark intellectual achievement, having a profound impact on today's mathematical ideas. A. W. Moore provides a clear statement of the theorem and discusses its philosophical implications, including whether it shows the human mind to have mathematical powers beyond those of any possible computer.

Format: Paperback / softback
Length: 152 pages
Publication date: 24 November 2022
Publisher: Oxford University Press

Kurt Gödel's renowned theorem, which was first published nearly a century ago, has had a profound impact on the field of mathematics. This theorem challenges the prevailing assumptions about the nature of mathematics and raises deep philosophical questions. Gödel's theorem has established itself as a landmark intellectual achievement, shaping the current mathematical ideas. Despite its significance, the theorem has also attracted a cult following, often misunderstood.

In this Very Short Introduction, A. W. Moore provides a clear and concise statement of the theorem, presenting two proofs that offer unique insights into its content. Moore also delves into the philosophical implications of the theorem, particularly addressing the question of whether it demonstrates the mathematical powers of the human mind surpassing those of any possible computer.

The Very Short Introductions series from Oxford University Press is renowned for its concise and accessible explanations of complex subjects. Each book in the series covers a wide range of topics in a concise and engaging manner, making it an ideal resource for students, professionals, and anyone interested in expanding their knowledge.

By exploring the theorem's intellectual and historical context, as well as its key concepts and common misunderstandings, this Very Short Introduction offers a valuable introduction to Gödel's theorem and its profound implications for mathematics and philosophy. Whether you are a student, researcher, or simply curious about the world of mathematics, this book will provide you with a deeper understanding of this landmark achievement.

Weight: 114g
Dimension: 112 x 173 x 10 (mm)
ISBN-13: 9780192847850