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Synopsis
From the Preface: "Algebraic Logic [addresses] some of the problems of mathematical logic and the theory of polyadic Boolean algebras, with which this volume is mostly concerned. It is intended to be an efficient way of treating algebraic logic in a unified manner. The material is accessible to a general mathematical audience; no vast knowledge of algebra or logic is required ... Except for a slight Boolean foundation, the volume is essentially self-contained."
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From the Back Cover
Beginning with an introduction to the concepts of algebraic logic, this concise volume features ten articles by a prominent mathematician that originally appeared in journals from 1954 to 1959. Covering monadic and polyadic algebras, these articles are essentially self-contained and accessible to a general mathematical audience, requiring no specialized knowledge of algebra or logic.
Part One addresses monadic algebras, with articles on general theory, representation, and freedom. Part Two explores polyadic algebras, progressing from general theory and terms to equality. Part Three offers three items on polyadic Boolean algebras, including a survey of predicates, terms, operations, and equality. The book concludes with an additional bibliography and index.
Dover (2016) republication of the edition originally published by Chelsea Publishing Company, New York, 1962.
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About the Author
Paul R. Halmos (1916–2006) was a prominent American mathematician who taught at the University of Chicago, the University of Michigan, and other colleges. His significant contributions to several areas of mathematics include the fields of mathematical logic, ergodic theory, functional analysis, and probability theory.
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Algebraic Logic
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