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Definition of Axiom. Axiom is a rule or a statement that is accepted as true without proof. An axiom is also called a postulate. Examples of Axiom. Here is an axiom of addition and multiplication. Let x and y be real numbers. Then x + y is also a real number and xy is also a real number.
axiom An axiom is a statement that everyone believes is true, such as supply equals demand or the only constant is change. Mathematicians use axiom to refer to established proofs. Many axioms are so widely used they become clichÃ©sâhere's one to help you remember what the word means.