Set-builder notation (nonfiction): Difference between revisions

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[[File:Set-builder_notation_all_even_integers.png|thumb|The set of all even integers, expressed in set-builder notation.]]In [[Set theory (nonfiction)|set theory]] and its applications to [[Logic (nonfiction)|logic]], [[Mathematics (nonfiction)|mathematics]], and [[Computer science (nonfiction)|computer science]], '''set-builder notation''' is a mathematical notation for describing a set by enumerating its elements or stating the properties that its members must satisfy.
|quote  = {\displaystyle \{n\in \mathbb {Z} \mid (\exists k\in \mathbb {Z} )[n=2k]\}}
|source = The set of all even integers, <br/> expressed in set-builder notation.
}}
In [[Set theory (nonfiction)|set theory]] and its applications to [[Logic (nonfiction)|logic]], [[Mathematics (nonfiction)|mathematics]], and [[Computer science (nonfiction)|computer science]], '''set-builder notation''' is a mathematical notation for describing a set by enumerating its elements or stating the properties that its members must satisfy.


Defining sets by properties is also known as '''set comprehension''', '''set abstraction''', or as defining a set's '''intension'''.
Defining sets by properties is also known as '''set comprehension''', '''set abstraction''', or as defining a set's '''intension'''.

Revision as of 17:52, 5 December 2017

The set of all even integers, expressed in set-builder notation.

In set theory and its applications to logic, mathematics, and computer science, set-builder notation is a mathematical notation for describing a set by enumerating its elements or stating the properties that its members must satisfy.

Defining sets by properties is also known as set comprehension, set abstraction, or as defining a set's intension.

Set-builder notation is sometimes simply referred to as set notation, although this phrase may be better reserved for the broader class of means of denoting sets.

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