Set Theory, Logic and Their Limitations
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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.
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All the information you need in one place! Each Study Brief is a summary of one specific subject; facts, figures, and explanations to help you learn faster.
List price: $57.00
Copyright year: 1996
Publisher: Cambridge University Press
Publication date: 5/23/1996
Size: 6.25" wide x 9.25" long x 0.50" tall
|Sets and classes|
|Relations and functions|
|The axiom of choice|
|Finite cardinals and alephs|
|First order logic|
|Facts from recursion theory|
|Appendix: Skolem's paradox|