Axiom

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English

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Pronunciation

Etymology

From Template:Frm {{ Template:Frm/script |[[axiome#Template:Frm|axiome]]|face=term|lang=frm}}, from Ancient Greek {{ Template:Grc/script |ἀξίωμα|face=term|lang=grc}} (that which is thought to fit, a requisite, that which a pupil is required to know beforehand, a self-evident principle), from {{ Template:Grc/script |ἀξίοῦν|face=term|lang=grc}} (to think fit or worthy, require, demand), from {{ Template:Grc/script |ἄξιος|face=term|lang=grc}} (worthy, fit, literally weighing as much as, of like value), from {{ Template:Grc/script |ἄγω|face=term|lang=grc}} (I drive).

Noun

Axiom (plural [[Axioms#|Axioms]]); also axiomata (though, becoming less common and sometimes considered archaic)
  1. (Articlesphilosophy) A seemingly Template:L/en or necessary Template:L/en which is based on Template:L/en; a Template:L/en or Template:L/en which cannot actually be proved or disproved.
  2. (Articles
36px Subject classification: this is a mathematics resource .
) A fundamental Template:L/en that serves as a basis for Template:L/en of theorems. Examples: "Through a pair of distinct points there passes exactly one straight line", "All right angles are congruent".
    • Template:Quote-book
      The axioms read as follows. For every composable pair f and g the composite <math>f \circ g</math> goes from the domain of g to the codomain of f. For each object A the identity arrow <math>1_A</math> 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.
  1. An established principle in some artistic practice or science that is universally received.
    The axioms of political economy cannot be considered absolute truths.

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Hyponyms

Holonyms

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Translations

External links


Czech

Noun

Axiom {{[[Modèle:{{{1}}}|{{{1}}}]]}}

  1. Template:L/en

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Swedish

Noun

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  1. Template:L/en

Declension

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Related terms

ar:axiom zh-min-nan:axiom ca:axiom cs:axiom et:axiom el:axiom eo:axiom fa:axiom fr:axiom ko:axiom hy:axiom io:axiom kn:axiom ku:axiom hu:axiom mg:axiom ml:axiom my:axiom no:axiom ps:axiom pl:axiom pt:axiom ru:axiom fi:axiom sv:axiom ta:axiom te:axiom th:axiom chr:axiom tr:axiom vi:axiom zh:axiom

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