Set Theory, Logic and Their Limitations

ISBN-10: 0521479983
ISBN-13: 9780521479981
Edition: 1996
Authors: Moshe Machover
List price: $57.00 Buy it from $18.76
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Description: In this introduction to set theory and logic, the author discusses first order logic, and gives a rigorous axiomatic presentation of Zermelo-Fraenkel set theory. He includes many methodological remarks and explanations, and demonstrates how the  More...

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Book details

List price: $57.00
Copyright year: 1996
Publisher: Cambridge University Press
Publication date: 5/23/1996
Binding: Paperback
Pages: 300
Size: 6.25" wide x 9.25" long x 0.50" tall
Weight: 1.144
Language: English

In this introduction to set theory and logic, the author discusses first order logic, and gives a rigorous axiomatic presentation of Zermelo-Fraenkel set theory. He includes many methodological remarks and explanations, and demonstrates how the basic concepts of mathematics can be reduced to set theory. He explains concepts and results of recursion theory in intuitive terms, and reaches the limitative results of Skolem, Tarski, Church and Gdel (the celebrated incompleteness theorems). For students of mathematics and philosophy, this book provides an excellent introduction to logic and set theory.

Mathematical induction
Sets and classes
Relations and functions
Cardinals
Ordinals
The axiom of choice
Finite cardinals and alephs
Propositional logic
First order logic
Facts from recursion theory
Limitative results
Appendix: Skolem's paradox

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