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- Title: An Introduction to Gödel’s Theorems
- Author(s) Peter Smith
- Publisher: Independently published (August 19, 2020)
- License(s): Available as a freely downloadable PDF
- Paperback: 402 pages
- eBook: PDF (402 pages)
- Language: English
- ISBN-10/ASIN: B08GB4L9JT
- ISBN-13: 979-8673862131
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The formal explanations are interwoven with discussions of the wider significance of the two Theorems. This book -- extensively rewritten for its second edition -- will be accessible to philosophy students with a limited formal background. It will be of equal interest to mathematics students taking a first course in mathematical logic.
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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Gödel Without (Too Many) Tears (Peter Smith)
How is this remarkable result of Gödel's Theorems established? This short book explains. The aim is to make the Theorems available, clearly and accessibly, even to those with a quite limited formal background.
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Requiring neither prior knowledge of mathematics nor aptitude for mathematical symbolism, the book serves as essential reading for anyone interested in the intersection of mathematics and logic and in the development of analytic philosophy.
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Introduction to Mathematical Logic (Vilnis Detlovs, et al)
This book explores the principal topics of mathematical logic. It covers propositional logic, first-order logic, first-order number theory, axiomatic set theory, and the theory of computability. Discusses the major results of Gödel, Church, Kleene, Rosser, and Turing.
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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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