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- Title: Gödel Without (Too Many) Tears
- Author(s) Peter Smith
- Publisher: Logic Matters (November 9, 2022)
- License(s): Available as a freely downloadable PDF
- Paperback: 154 pages
- eBook: PDF (154 pages)
- Language: English
- ISBN-10/ASIN: 1916906354
- ISBN-13: 978-1916906358
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Kurt Gödel’s famous First Incompleteness Theorem shows that, for any sufficiently rich theory that contains enough arithmetic, there are some arithmetical truths the theory can express. but cannot prove. How is this remarkable result established? This short book explains. It also discusses Gödel’s Second Incompleteness Theorem.
The aim is to make the Gödel's Theorems available, clearly and accessibly, even to those with a quite limited formal background (and at much less than half of the length of the same author‘s more wide-ranging An Introduction to Gödel‘s Theorems)
About the Authors- Until he retired, Peter Smith taught logic at the University of Cambridge. His Logic Matters website and blog is at https://www.logicmatters.net.
- Mathematical Logic - Computability, Set Theory, Model Theory, etc
- Theory of Computation and Computing
- Computational Complexity
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Incompleteness and Computability: Gödel's Theorems
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An Introduction to Gödel’s Theorems (Peter Smith)
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A Friendly Introduction to Mathematical Logic (Chris Leary)
In this user-friendly book, readers with no previous study in the field are introduced to the basics of model theory, proof theory, and computability theory, leading to rigorous proofs of Gödel's First and Second Incompleteness Theorems.
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