## Publisher description for Classical mathematical logic : the semantic foundations of logic / Richard L. Epstein ; with contributions by Lesaw W. Szczerba.

Bibliographic record and links to related information available from the Library of Congress catalog

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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.

Library of Congress subject headings for this publication:

Logic, Symbolic and mathematical.

Semantics (Philosophy)