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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.
The definition of an axiom is a universally accepted rule. Two things that are equal to the same thing are also equal to each other is an example of an axiom. axiom. an established principle or law of a science, art, etc. axiom.