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.
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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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Paperback. Condition: Sehr gut. 274 p. Das Exemplar ist in einem sehr guten und sauberen Zustand ohne Anstreichungen. The copy is in a very good and clean condition without markings. - CONTENTS -- I. INTRODUCTION -- The basic concepts of algebraic logic. American Mathematical Monthly, vol. 53 (1956), pp. 363-387. -- PART ONE -- MONADIC ALGEBRAS -- II. GENERAL THEORY -- Algebraic logic, I. Monadic Boolean algebras. Compositio Mathematica, vol. 12 (1955), pp. 217-249. -- III. REPRESENTATION -- The representation of monadic Boolean algebras. Duke Mathematical Journal, vol. 26 (1959), pp. 447-454. -- IV. FREEDOM -- Free monadic algebras. Proceedings of the American Mathe-matical Society, vol. 10 (1959), pp. 219-227. -- PART TWO POLYADIC ALGEBRAS -- V. GENERAL THEORY -- Algebraic logic, II. Homogeneous locally finite polyadic Boolean algebras of infinite degree. Fundamenta Mathematicae, vol. 43 (1956), pp. 255-325. -- VI. TERMS -- Algebraic logic, III. Predicates, terms, and operations in poly-adic algebras. Transactions of the American Mathematical Society, vol. 83 (1956), pp. 430-470. -- VII. EQUALITY -- Algebraic logic, IV. Equality in polyadic algebras. Transac-tions of the American Mathematical Society, vol. 86 (1957), pp. 1-27. -- PART THREE -- SUMMARY -- VIII. GENERAL THEORY -- Polyadic Boolean algebras. Proceedings of the National Academy of Sciences, vol. 40 (1954), pp. 296-301. -- IX. TERMS AND EQUALITY. -- Predicates, terms, operations, and equality in polyadic Boolean algebras. Proceedings of the National Academy of Sciences, vol. 42 (1956), pp. 130-136. -- X. BRIEF SUMMARY -- Polyadic Boolean algebras. Proceedings of the International Congress of Mathematicians, Amsterdam, vol. 2 (1954), pp. 402-403. -- ADDITIONAL BIBLIOGRAPHY -- INDEX. ISBN 9781614276340 Sprache: Englisch Gewicht in Gramm: 423. Seller Inventory # 1253799
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