Skip navigation.

axiom - What does it mean?

Definition of 'axiom'

English

(wikipedia)

Noun

(en-noun); also axiomata (though, becoming less common and sometimes considered archaic)
  • (philosophy) A seemingly which cannot actually be proved or disproved.
  • * '>citation
  • (mathematics|logic|proof theory) A fundamental of theorems. Examples: "Through a pair of distinct points there passes exactly one straight line", "All right angles are congruent".
  • *
  • The axioms read as follows. For every composable pair f'' and ''g'' the composite f \circ g goes from the domain of ''g'' to the codomain of ''f''. For each object ''A'' the identity arrow 1_A goes from ''A'' to ''A . Composing any arrow with an identity arrow (supposing that the two are composable) gives the original arrow. And composition is associative.
  • An established principle in some artistic practice or science that is universally received.
  • The axioms of political economy cannot be considered absolute truths.

    Synonyms

    * (now rare)

    Hypernyms

    * (in logic) well-formed formula, wff, WFF

    Hyponyms

    * (in mathematics) * (in mathematics) * (in mathematics)

    Holonyms

    * (in logic) formal system

    Derived terms

    *

    See also

    (other terms of interest) * conjecture * corollary * demonstration * hypothesis * law * lemma * porism (rel-mid) * postulate * premise * principle * proof * proposition * theorem * theory * truism (rel-bottom)

    Similar to 'axiom'

    aecium, ascham, azym, aacm, asham, akum