Moore, A. W.
Goedel's Theorem: A Very Short Introduction (Very Short Introductions)
- ISBN 13:
- 9780192847850
- author:
- Moore, A. W.
- format:
- Paperback
- publisher:
- Oxford University Press
- language:
- English
- Publication Year:
- 2022
- Pages:
- 160
- Dimensions:
- 17.4 x 11.1 x 0.8 centimetres (0
- Genre:
- Science, Mathematics, General,
- Condition:
- New
- Availability:
- Item usually sent within 5 working days
Description
Kurt Gödel's celebrated theorem has had a profound impact on mathematics and philosophy for nearly a century. First published in 1931, it challenged prevailing presuppositions about the nature of mathematics and raised deep philosophical questions. The theorem states that no axiomatization can determine the whole truth and nothing but the truth concerning arithmetic. A Very Short Introduction to Gödel's Theorem explains the key concepts and common misunderstandings of what it actually states. Author A. W. Moore provides a clear statement of the theorem, presenting two proofs, each with its own distinctive insights. Moore also discusses the most important philosophical implications of the theorem, including the famous question of whether it shows the human mind to have mathematical powers beyond those of any possible computer. This book is a great way to get ahead in understanding this influential intellectual achievement.