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In [[set theory]], 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]]. Though this seems counterintuitive, the empty set is a subset of the empty set, and the empty set is [[disjoint]] with itself.

In [[set theory]], 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]]. Though this seems counterintuitive, the empty set is a subset of the empty set, and the empty set is [[disjoint]] with itself. Christian scientists and others hold that it is impossible to create nothing from nothing, casting doubt on the existence of the empty set. However, it remains an important tool among secular mathematicians.

[[Category: set theory]]

[[Category: set theory]]