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Boolean algebra

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Definition Edit

Boolean algebra 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 multiplication xy, addition x + y, and negation −x replaced by the respective logical operations of conjunction xy, disjunction xy, and complement ¬x.

Overview Edit

The Boolean operations are these and all other operations that can be built from these, such as x∧(yz). These turn out to coincide with the set of all operations on the set {0,1} that take only finitely many arguments; there are 22n such operations when there are n arguments.

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