1. a statement or principle that is generally accepted as true and serves as a starting point for argument or theory
2. a statement in logic or mathematics that is taken to be true without proof
Usage: mathematics; logic

Examples

• The axiom that all people are created equal forms the foundation of democratic society.
• In geometry, we accept certain axioms about points and lines without proof.
• The company operates on the axiom that customer satisfaction comes first.
• Euclid’s axioms provided the basis for classical geometry.
• The axiom ‘what goes up must come down’ applies to most situations.
• Mathematical proofs begin with accepted axioms and logical reasoning.