## ::Set (mathematics)

### ::concepts

''A''::''b'' Nowrap::theory Number::''s'' Members::empty Example::right Denoted::times

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In mathematics, a **set** is a collection of distinct objects, considered as an object in its own right. For example, the numbers 2, 4, and 6 are distinct objects when considered separately, but when they are considered collectively they form a single set of size three, written {2,4,6}. Sets are one of the most fundamental concepts in mathematics. Developed at the end of the 19th century, set theory is now a ubiquitous part of mathematics, and can be used as a foundation from which nearly all of mathematics can be derived. In mathematics education, elementary topics such as Venn diagrams are taught at a young age, while more advanced concepts are taught as part of a university degree. The German word *Menge*, rendered as "set" in English, was coined by Bernard Bolzano in his work *The Paradoxes of the Infinite*.

**Set (mathematics) sections**

Intro Definition Describing sets Membership Cardinality Special sets Basic operations Applications Axiomatic set theory Principle of inclusion and exclusion De Morgan's Law See also Notes References External links

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