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Notes on Logic and Set Theory : Cambridge Mathematical Textbooks - P. T. Johnstone

Notes on Logic and Set Theory

Cambridge Mathematical Textbooks

Paperback Published: 7th December 1987
ISBN: 9780521336925
Number Of Pages: 124

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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.

Universal algebra
Propositional calculus
First-order theories
Recursive functions
Zermelo - Fraenkel set theory
Ordinals and well -orderings
The axiom of choice
Cardinal arithmetic
Consistency and independence
Index of definitions
Index of names
Table of Contents provided by Publisher. All Rights Reserved.

ISBN: 9780521336925
ISBN-10: 0521336929
Series: Cambridge Mathematical Textbooks
Audience: Tertiary; University or College
Format: Paperback
Language: English
Number Of Pages: 124
Published: 7th December 1987
Country of Publication: GB
Dimensions (cm): 21.41 x 13.72  x 0.74
Weight (kg): 0.16