Formal usage:
* "The axiom of choice is a fundamental principle in set theory." (Here, "axiom" refers to a fundamental principle that is accepted without proof)
* "In geometry, Euclid's axioms laid the foundation for the study of shapes and space." (This example highlights the historical significance of axioms)
Informal usage:
* "It's an axiom of life that you can't please everyone." (Here, "axiom" is used to express a widely accepted truth or principle)
* "The company operates on the axiom that customer satisfaction is paramount." (This demonstrates how an axiom can guide a company's actions)
Figurative usage:
* "He treated her words as an axiom, never questioning their truth." (This sentence uses "axiom" to suggest unquestioning belief)
* "Her faith in her own abilities was an unbreakable axiom." (This example uses "axiom" to emphasize the strength of her belief)
Remember, an axiom is a fundamental truth or principle that is accepted as true without needing proof. When used in a sentence, it adds a sense of authority and universal acceptance to the statement.