An axiom is a proposition regarded as self-evidently true without proof. The word "axiom" is a slightly archaic synonym for postulate. Compare conjecture or hypothesis, both of which connote apparently true but not self-evident statements.
Axiom
See also
Archimedes' Axiom, Axiom of Choice, Axiomatic System, Cantor-Dedekind Axiom, Congruence Axioms, Conjecture, Continuity Axioms, Countable Additivity Probability Axiom, Dedekind's Axiom, Dimension Axiom, Eilenberg-Steenrod Axioms, Excision Axiom, Fano's Axiom, Field Axioms, Hausdorff Axioms, Hilbert's Axioms, Homotopy Axiom, Incidence Axioms, Independence Axiom, Induction Axiom, Law, Lemma, Long Exact Sequence of a Pair Axiom, Ordering Axioms, Pasch's Axiom, Peano's Axioms, Playfair's Axiom, Porism, Postulate, Probability Axioms, Proclus' Axiom, Rule, T2-Separation Axiom, Theorem, Zermelo-Fraenkel AxiomsExplore with Wolfram|Alpha
Cite this as:
Weisstein, Eric W. "Axiom." From MathWorld--A Wolfram Web Resource. https://mathworld.wolfram.com/Axiom.html