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Notes on Logic and Set Theory

Notes on Logic and Set Theory

Paperback

Series: Cambridge Mathematical Textbooks

Fiction

ISBN10: 0521336929
ISBN13: 9780521336925
Publisher: Cambridge
Published: Oct 8 1987
Pages: 124
Weight: 0.36
Height: 0.29 Width: 5.40 Depth: 8.43
Language: English
A succinct introduction to mathematical logic and set theory, which together form the foundations for the rigorous development of mathematics. Suitable for all introductory mathematics undergraduates, Notes on Logic and Set Theory covers the basic concepts of logic: first-order logic, consistency, and the completeness theorem, before introducing the reader to the fundamentals of axiomatic set theory. Successive chapters examine the recursive functions, the axiom of choice, ordinal and cardinal arithmetic, and the incompleteness theorems. Dr. Johnstone has included numerous exercises designed to illustrate the key elements of the theory and to provide applications of basic logical concepts to other areas of mathematics.

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