Difference between revisions of "Empty set"
Jump to navigation
Jump to search
| Line 1: | Line 1: | ||
| − | The '''empty set''' is the unique set that contains no element and is a subset of every other set. Its existence is postulated by the [[Axiom of empty set]] in the axioms of [[Zermelo–Fraenkel set theory]]. Note that the empty set is not a subset of the empty set in | + | The '''empty set''' is the unique set that contains no element and is a subset of every other set. Its existence is postulated by the [[Axiom of empty set]] in the axioms of [[Zermelo–Fraenkel set theory]]. Note that the empty set is not a subset of the empty set in Zermelo–Fraenkel set theory. |
[[Category: Mathematics]] | [[Category: Mathematics]] | ||
Revision as of 17:38, March 29, 2007
The empty set is the unique set that contains no element and is a subset of every other set. Its existence is postulated by the Axiom of empty set in the axioms of Zermelo–Fraenkel set theory. Note that the empty set is not a subset of the empty set in Zermelo–Fraenkel set theory.