Algebraic Logic

Halmos, Paul R.

ISBN 10: 161427634X / ISBN 13: 9781614276340

Published by Martino Fine Books, 2014

About this Item

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Bibliographic Details

• Title: Algebraic Logic
• Publisher: Martino Fine Books
• Publication Date: 2014
• Language: English
• ISBN 10: 161427634X
• ISBN 13: 9781614276340
• Binding: paperback
• Condition: Good

About this title

Synopsis

2014 Reprint of 1962 Edition. Full facsimile of the original edition, not reproduced with Optical Recognition Software. In "Algebraic Logic" Halmos devised polyadic algebras, an algebraic version of first-order logic differing from the better known cylindric algebras of Alfred Tarski and his students. An elementary version of polyadic algebra is described in monadic Boolean algebra. This book addresses some of the problems of mathematical logic and the theory of polyadic Boolean algebras in particular. It is intended to be an efficient way of treating algebraic logic in a unified manner.

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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