Set Theory, Logic and their Limitations

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Paperback | 22 July 1996

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300 Pages

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22.86 x 15.24 x 1.7

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This is an introduction to set theory and logic that starts completely from scratch. The text is accompanied by many methodological remarks and explanations. A rigorous axiomatic presentation of Zermelo-Fraenkel set theory is given, demonstrating how the basic concepts of mathematics have apparently been reduced to set theory. This is followed by a presentation of propositional and first-order logic. Concepts and results of recursion theory are explained in intuitive terms, and the author proves and explains the limitative results of Skolem, Tarski, Church and G¶del (the celebrated incompleteness theorems). For students of mathematics or philosophy this book provides an excellent introduction to logic and set theory.

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' ... written by an excellent mathematician ... I very much like the way the author explains things.' European Mathematical Society

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You Can Find This Book In

Non-Fiction Mathematics Mathematical Foundation Mathematical Logic Set Theory History of Mathematics Science Science in General Combinatorics & Graph 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
Table of Contents provided by Publisher. All Rights Reserved.

Set Theory, Logic and their Limitations

At a Glance

Paperback

Industry Reviews

Shipping

How to return your order

Defective items

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