Algebraic Logic
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.
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Algebraic Logic
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.
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Algebraic Logic

Algebraic Logic

by Paul R. Halmos
Algebraic Logic

Algebraic Logic

by Paul R. Halmos

Paperback(First Edition, First)

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Overview

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.

Product Details

ISBN-13: 9780486801452
Publisher: Dover Publications
Publication date: 01/18/2016
Series: Dover Books on Mathematics
Edition description: First Edition, First
Pages: 272
Product dimensions: 6.00(w) x 8.90(h) x 0.70(d)

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.

Table of Contents

I Introduction 9

The basic concepts of algebraic logic. American Mathematical Monthly, vol. 53 (1956), pp. 363-387.

Part 1 Monadic Algebras

II General Theory 37

Algebraic logic, I Monadic Boolean algebras. Compositio Mathematica, vol. 12 (1955), pp. 217-249.

III Representation 75

The representation of monadic Boolean algebras. Duke Mathematical Journal, vol. 26 (1959), pp. 447-454.

IV Freedom 85

Free monadic algebras, Proceedings of the American Mathematical Society, vol. 10 (1959), pp. 219-227.

Part 2 Polyadic Algebras

V General Theory 97

Algebraic logic, II Homogeneous locally finite polyadic Boolean algebras of infinite degree. Fundamenta Mathematicae, vol. 43 (1956), pp. 255-325.

VI Terms 169

Algebraic logic, III Predicates, terms, and operations in polyadic algebras. Transactions of the American Mathematical Society, vol. 83 (1956), pp. 430-470.

VII Equality 213

Algebraic logic, IV Equality in polyadic algebras. Transactions of the American Mathematical Society, vol. 86 (1957), pp. 1-27.

Part 3 Summary

VIII General Theory 243

Polyadic Boolean algebras. Proceedings of the National Academy of Sciences, vol. 40 (1954), pp. 296-301.

IX Terms and Equality 251

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 261

Polyadic Boolean algebras. Proceedings of the International Congress of Mathematicians, Amsterdam, vol. 2 (1954), pp. 402-403.

Additional Bibliography 265

Index 269

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