Set Theory, Logic and their Limitations

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Set Theory, Logic and their Limitations

Set Theory, Logic and their Limitations

Name: Set Theory, Logic and their Limitations
ISBN: 9780521479981

Moshe Machover

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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 Gödel (the celebrated incompleteness theorems). For students of mathematics and philosophy, this book provides an excellent introduction to logic and set theory.

Kategorien:

Mathematics

Jahr:

1996

Verlag:

CUP

Sprache:

english

Seiten:

300

ISBN 10:

0521479983