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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.
Axiology: The branch of philosophy dealing with the nature of value and the types of value, as in morals, aesthetics, religion, and metaphysics.. Webster's New World Dictionary, 2nd Edition. People are different. They do not look alike.