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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. More generally, the union of any set with the empty set is the original set, while the intersection of any set with the empty set is itself the empty 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. More generally, the union of any set with the empty set is the original set, while the intersection of any set with the empty set is itself the empty set.
== "Empty Set" ==
''See also:'' [[Atheist symbols]]
The empty set symbol, ∅, was originally suggested by Wayne Otero as a [[Atheist symbols|symbol to represent atheism]] and was derived from a letter in the Norwegian and Danish alphabet. It asserts the idea that there is no God and shows the obvious spiritual emptiness of atheists. A zero is another similar symbol that's been used.
[[Category:Set Theory]]
[[Category:Set Theory]]