Algebraic Logic.

Halmos, Paul R.:

ISBN 10: 161427634X / ISBN 13: 9781614276340

Editore: Mansfiled Centre: Martino Fine Books, 2014

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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.

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Dati bibliografici

• Titolo: Algebraic Logic.
• Editore: Mansfiled Centre: Martino Fine Books
• Data di pubblicazione: 2014
• Lingua: Inglese
• ISBN 10: 161427634X
• ISBN 13: 9781614276340
• Rilegatura: Paperback.
• Condizione: Sehr gut
• Peso: 423 grammi
• Cataloghi dei venditori:
  • Mathematik

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Riassunto

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.