Intersection (set theory)

Concept in set theory (for the term in geometry, see Q1364910)

Nº Q185837 ★★★

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Intersection (set theory)

Concept in set theory (for the term in geometry, see Q1364910)

In set theory, the intersection of two sets A {\displaystyle A} and B , {\displaystyle B,} denoted by A ∩ B , {\displaystyle A\cap B,} is the set containing all elements of A {\displaystyle A} that also belong to B {\displaystyle B} or equivalently, all elements of B {\displaystyle B} that also belong to A . {\displaystyle A.} The notion of intersection as an algebraic operation with sets as operands has been generalized from geometry, where it is encountered in the case of geometric sets of points, such as individual points, lines (infinite un...

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From Wikipedia

In set theory, the intersection of two sets A {\displaystyle A} and B , {\displaystyle B,} denoted by A ∩ B , {\displaystyle A\cap B,} is the set containing all elements of A {\displaystyle A} that also belong to B {\displaystyle B} or equivalently, all elements of B {\displaystyle B} that also belong to A . {\displaystyle A.} The notion of intersection as an algebraic operation with sets as operands has been generalized from geometry, where it is encountered in the case of geometric sets of points, such as individual points, lines (infinite uncountable sets of points), planes, etc.

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