👉 In mathematics, an "axiom" is a statement that is assumed to be true without proof. An axiom is used as a foundational concept in a deductive system or mathematical theory and serves as a basis for all other statements and arguments within the system. For example, the axiom of choice states: "Given any set X, there exists at least one element x in X such that every subset S of X has exactly one element that belongs to x." This axiom is used to define what it