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.

*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, Euclid's Axioms, Excision Axiom, Fano's Axiom,
Field Axioms, Hausdorff Axioms, Hilbert's Axioms, Homotopy Axiom, Inaccessible Cardinals
Axiom, Incidence Axioms, Independence Axiom, Induction Axiom, Law, Lemma, Long Exact
Sequence of a Pair Axiom, Ordering Axioms, Parallel Axiom, Pasch's Axiom, Peano's Axioms,
Playfair's Axiom, Porism, Postulate, Probability Axioms, Proclus' Axiom, Rule,
T2-Separation Axiom, Theorem, Zermelo's Axiom of Choice, Zermelo-Fraenkel Axioms

© 1996-9 *Eric W. Weisstein *

1999-05-25