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.
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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