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set

Well-defined mathematical collection of distinct objects

Also known as mathematical set · sets (mathematics)

Instance of: primitive notion
Subclass of: class
, multiset
, algebraic structure
+1 more

Overview

From Wikipedia, the free encyclopedia · Read full article · Text CC BY-SA 4.0

In mathematics, a set is a collection of different things; the things are called elements or members of the set and are typically mathematical objects: numbers, symbols, points in space, lines, other geometric shapes, variables, functions, or even other sets.

Overview

All data

59 statements · 19% with external sources · numbers in brackets are citations

Members / parts: element
Uses: property
Cause: extensional definition
intensional definition
Properties for this type: set cardinality
disjoint union of
union of
has part(s) of the class
Used by: set operation
Different from: group
class
set
Studied by: set theory
Defining formula: \exists Y\colon X\in Y
In defining formula: \in symbol represents: is an element of
X symbol represents: set
Y symbol represents: class
\exists symbol represents: existential quantification

On other databases

32 identifiers linking set across the web's reference databases

Data quality

statements

19%

externally sourced

Source last edited October 5, 2026. AIDB refreshes this page daily.

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Cite this page

AIDB. (2026). set (Q36161). Retrieved from https://aidb.si/e/set-Q36161