# 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 *x*∧*y*, disjunction *x*∨*y*, and complement ¬*x*.

## Overview Edit

The Boolean operations are these and all other operations that can be built from these, such as *x*∧(*y*∨*z*). These turn out to coincide with the set of all operations on the set {0,1} that take only finitely many arguments; there are 2^{2n} such operations when there are *n* arguments.

## See also Edit

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