**Boolean algebra** — This article discusses the subject referred to as Boolean algebra. For the mathematical objects, see Boolean algebra (structure). Boolean algebra, as developed in 1854 by George Boole in his book An Investigation of the Laws of Thought,[1] is a… … Wikipedia

**Boolean algebra** — /booh lee euhn/ 1. Logic. a deductive logical system, usually applied to classes, in which, under the operations of intersection and symmetric difference, classes are treated as algebraic quantities. 2. Math. a ring with a multiplicative identity … Universalium

**Boolean Algebra** — A division of mathematics which deals with operations on logical values. Boolean algebra traces its origins to an 1854 book by mathematician George Boole. The distinguishing factor of Boolean algebra is that it deals only with the study of binary … Investment dictionary

**Boolean algebra** — A Boolean algebra is a system consisting of a set S and two operations, n and ? (cap and cup), subject to the following axioms. For all sets a,b,c, that are members of S: 1 a n (b n c) = (a n b) n c. Also a ? (b ? c) = (a ? b) ? c (associativity) … Philosophy dictionary

**Boolean algebra** — noun a system of symbolic logic devised by George Boole; used in computers • Syn: ↑Boolean logic • Hypernyms: ↑symbolic logic, ↑mathematical logic, ↑formal logic * * * noun Usage: usually capitalized B … Useful english dictionary

**Boolean algebra** — noun a) An algebra in which all elements can take only one of two values (typically 0 and 1, or true and false ) and are subject to operations based on AND, OR and NOT The set of divisors of 30, with binary operators: g.c.d. and l.c.m., unary… … Wiktionary

**Boolean algebra (introduction)** — Boolean algebra, developed in 1854 by George Boole in his book An Investigation of the Laws of Thought , is a variant of ordinary algebra as taught in high school. Boolean algebra differs from ordinary algebra in three ways: in the values that… … Wikipedia

**Boolean algebra (structure)** — For an introduction to the subject, see Boolean algebra#Boolean algebras. For the elementary syntax and axiomatics of the subject, see Boolean algebra (logic). For an alternative presentation, see Boolean algebras canonically defined. In abstract … Wikipedia

**Boolean algebra (logic)** — For other uses, see Boolean algebra (disambiguation). Boolean algebra (or Boolean logic) is a logical calculus of truth values, developed by George Boole in the 1840s. It resembles the algebra of real numbers, but with the numeric operations of… … Wikipedia

**Boolean algebra** — noun Date: circa 1889 an algebraic system that consists of a set closed under two binary operations and that can be described by any of various systems of postulates all of which can be deduced from the postulates that each operation is… … New Collegiate Dictionary