Set Theory, Logic and Their Limitations

Name: Set Theory, Logic and Their Limitations
Price: 42.44 USD
Availability: InStock
ISBN: 9780521479981

ISBN-10: 0521479983

ISBN-13: 9780521479981

Edition: 1996

Authors: Moshe Machover

List price: $59.99

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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 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.

Book details

List price: $59.99
Copyright year: 1996
Publisher: Cambridge University Press
Publication date: 5/23/1996
Binding: Paperback
Pages: 300
Size: 6.02" wide x 8.98" long x 0.59" tall
Weight: 1.144
Language: English



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