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In logic and mathematics, inclusion is the concept that all the contents of one object are also contained within a second object. [1] For example, ...
In logic, a set of symbols is commonly used to express logical representation. ... logical (inclusive) disjunction: or propositional logic, Boolean algebra:
In logic, disjunction, also known as logical disjunction or logical or or logical addition or inclusive disjunction, is a logical connective typically notated as and read aloud as "or".
The inclusion relation has a natural interpretation in various Boolean algebras: in the subset algebra, the subset relation; in arithmetic Boolean algebra, divisibility; in the algebra of propositions, material implication; in the two-element algebra, the set { (0,0), (0,1), (1,1) }. Some useful properties of the inclusion relation are:
This article lists mathematical properties and laws of sets, involving the set-theoretic operations of union, intersection, and complementation and the relations of set equality and set inclusion. It also provides systematic procedures for evaluating expressions, and performing calculations, involving these operations and relations.
inclusive first-order logic A variant of first-order logic that allows for empty domains, in contrast to the standard requirement that domains contain at least one object. inclusive or The disjunction operation in logic that is true if either or both of its operands are true. incompleteness
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In combinatorics, the inclusion–exclusion principle is a counting technique which generalizes the familiar method of obtaining the number of elements in the union of two finite sets; symbolically expressed as