Algebraic Logic by Paul R Halmos

Algebraic Logic by Paul R Halmos

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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Paul R. was born in Hungary and grew up in the United States. Halmos (1916-2006) was highly regarded as a brilliant mathematician. He made substantial contributions to numerous fields of mathematics, including mathematical logic, probability theory, ergodic theory, and functional analysis, while teaching at the University of Chicago and other universities.