Axiom of empty set

The Axiom of the Empty Set is a fundamental concept in set theory, which states that there exists a set that contains no elements. This set is called the empty set, denoted by the symbol ∅ or {}. Formally, the Axiom of the Empty Set asserts: There exists a set \( \emptyset \) such that for any element \( x \), \( x \notin \emptyset \).