Set (mathematics)

1/6file:///C:/Ali/teaching/Math107/f2012 /Reading Material/Sets from intersection of two sets ismade up of the objects contained inboth sets, shown in a (mathematics)From Wikipedia, the free encyclopediaA set in mathematics is a collection of well defined and distinct objects, considered as an object in its own are one of the most fundamental concepts in mathematics. Developed at the end of the 19th century, settheory is now a ubiquitous part of mathematics, and can be used as a foundation from which nearly all ofmathematics can be derived. In mathematics education, elementary topics such as Venn diagrams are taught at ayoung age, while more advanced concepts are taught as part of a university Definition2 Describing sets3 Power sets4 Cardinality5 Special sets6 Basic Cartesian product7 Applications8 Axiomatic set theory9 Principle of inclusion and exclusion10 See also11 Notes12 References13 External linksDefinitionA set is a well defined collection of objects.

Note that the expressions A ⊂ B and B ⊃ A are used differently by different authors; some authors use them to mean the same as A ⊆ B (respectively B ⊇ A), whereas other use them to mean the same as A ⊊ B (respectively B ⊋ A). Example: The set of all men is a proper subset of the set of all people. {1, 3} ⊊ {1, 2, 3, 4}.

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