Classical Mathematical Logic

The Semantic Foundations of Logic

By:

Richard L. Epstein

Format:

Hardback

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Description

In Classical Mathematical Logic, Richard L. Epstein relates the systems of mathematical logic to their original motivations to formalize reasoning in mathematics. The book also shows how mathematical logic can be used to formalize particular systems of mathematics. It sets out the formalization not only of arithmetic, but also of group theory, field theory, and linear orderings. These lead to the formalization of the real numbers and Euclidean plane geometry. The scope and limitations of modern logic are made clear in these formalizations. The book provides detailed explanations of all proofs and the insights behind the proofs, as well as detailed and nontrivial examples and problems. The book has more than 550 exercises. It can be used in advanced undergraduate or graduate courses and for self-study and reference. Classical Mathematical Logic presents a unified treatment of material that until now has been available only by consulting many different books and research articles, written with various notation systems and axiomatizations.

Author Biography:

Richard L. Epstein received his doctorate in mathematics from the University of California, Berkeley. He is the author of eleven books, including two others in the series "The Semantic Foundations of Logic (Propositional Logics and Predicate Logic), Five Ways of Saying "Therefore," Critical Thinking", and, with Walter Carnielli, "Computability". He is head of the Advanced Reasoning Forum in Socorro, New Mexico.

Release date Australia

July 23rd, 2006

Author

Richard L. Epstein

Audiences

Professional & Vocational
Tertiary Education (US: College)

Contributor

Contributions by Leslaw W. Szczerba

Illustrations

20 line illus.

Pages

544

Dimensions

178x254x30

ISBN-13

9780691123004

Product ID

2447701

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