View source for Set (mathematics)

In [[mathematics]], a '''set''' is a collection of distinct [[athematical object|mathematical objects]], considered as an object in its own right.

== Description ==

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]].

== Set theory ==

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.

== Mathematics education ==

In [[mathematics education]], elementary topics such as [[Venn diagram|Venn diagrams]] are taught at a young age, while more advanced concepts are taught as part of a university degree.

== History ==

The German word ''Menge'', rendered as "set" in English, was coined by [[Bernard Bolzano]] in his work ''[[The Paradoxes of the Infinite]]''.

== See also ==

* [[Alternative set theory]]
* [[Axiomatic set theory]]
* [[Category of sets]]
* [[Class (set theory)]]
* [[Counting]]
* [[Data set]]
* [[Dense set]]
* [[Family of sets]]
* [[Fuzzy set]]
* [[Georg Cantor]]
* [[Idempotence]]
* [[Identification scheme]]
* [[Internal set]]
* [[Mathematical object]]
* [[Mathematics]]
* [[Mereology]]
* [[Multiset]]
* [[Naive set theory]]
* [[Permutation]]
* [[Principia Mathematica]]
* [[Rough set]]
* [[Russell's paradox]]
* [[Sequence (mathematics)]]
* [[Set notation]]
* [[Set theory]]
* [[Space (mathematics)]]
* [[Taxonomy]]
* [[Tuple]]
* [[Universe (mathematics)]]
* [[Unique identifier]]
* [[Venn diagram]]

== External links == 

* [https://en.wikipedia.org/wiki/Set_(mathematics) Set (mathematics)] @ Wikipedia

[[Category:Mathematics]]
[[Category:Set theory]]