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Science/Engineering Set Theory, Logic and their Limitations

Posted on 2010-03-15




Name:Science/Engineering Set Theory, Logic and their Limitations
ASIN/ISBN:0521479983
Language:English
File size:9.8 Mb
Publish Date: 1996-05-31
ISBN: 0521479983
Pages: 300 pages
File Size: 9,8 MB
Other Info: Cambridge University Press; Djvu
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Moshé Machover, "Set Theory, Logic and their Limitations"

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.

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