1. statements or principles that are generally accepted as true and serve as starting points for further argument or reasoning
Usage: plural of axiom
2. basic rules or principles in mathematics or logic that are assumed to be true without proof
Usage: mathematical; logical

Examples

• The axioms of geometry form the foundation for all geometric proofs.
• These moral axioms guide our decision-making process.
• Euclid’s axioms have been fundamental to mathematics for centuries.
• The company operates on several basic axioms about customer service.
• Mathematical axioms are accepted without requiring proof.
• Political philosophers often debate the axioms underlying different systems of government.