Axiom of pairing

The Axiom of Pairing is a fundamental concept in set theory, particularly in the context of Zermelo-Fraenkel set theory (ZF). It is one of the axioms that helps to establish the foundations for building sets and functions within mathematics. The Axiom of Pairing states that for any two sets \( A \) and \( B \), there exists a set \( C \) that contains exactly \( A \) and \( B \) as its elements.