# axiom

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Related to Axioms: Euclid's axioms

## ax·i·om

(ăk′sē-əm)*n.*

**1.**A self-evident or universally recognized truth; a maxim: "It is an economic axiom as old as the hills that goods and services can be paid for only with goods and services" (Albert Jay Nock).

**2.**An established rule, principle, or law.

**3.**A self-evident principle or one that is accepted as true without proof as the basis for argument; a postulate.

[Middle English, from Old French axiome, from Latin axiōma, axiōmat-, from Greek, from axios,

*worthy*; see ag- in Indo-European roots.]## axiom

(ˈæksɪəm)*n*

**1.**(Mathematics) a generally accepted proposition or principle, sanctioned by experience; maxim

**2.**a universally established principle or law that is not a necessary truth: the axioms of politics.

**3.**(Logic) a self-evident statement

**4.**(Logic)

*logic*

*maths*a statement or formula that is stipulated to be true for the purpose of a chain of reasoning: the foundation of a formal deductive system. Compare assumption

^{4}

**5.**(Mathematics)

*logic*

*maths*a statement or formula that is stipulated to be true for the purpose of a chain of reasoning: the foundation of a formal deductive system. Compare assumption

^{4}

[C15: from Latin

*axiōma*a principle, from Greek, from*axioun*to consider worthy, from*axios*worthy]## ax•i•om

(ˈæk si əm)*n.*

**1.**a self-evident truth that requires no proof.

**2.**a universally accepted principle or rule.

**3.**a proposition in logic or mathematics that is assumed without proof for the sake of studying the consequences that follow from it.

[1475–85; < Latin

*axiōma*< Greek: something worthy <*axiō-,*variant s. of*axioûn*to think worthy]## ax·i·om

(ăk′sē-əm) A principle that is accepted as true without proof; a postulate.

ThesaurusAntonymsRelated WordsSynonyms

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Noun | 1. | axiom - a saying that is widely accepted on its own meritslocution, saying, expression - a word or phrase that particular people use in particular situations; "pardon the expression" gnome - a short pithy saying expressing a general truth moralism - a moral maxim |

2. | axiom - (logic) a proposition that is not susceptible of proof or disproof; its truth is assumed to be self-evidentEuclidean axiom, Euclid's axiom, Euclid's postulate - (mathematics) any of five axioms that are generally recognized as the basis for Euclidean geometry logic - the branch of philosophy that analyzes inference proposition - (logic) a statement that affirms or denies something and is either true or false |

## axiom

## axiom

*noun*

A broad and basic rule or truth:

Translations

**بَديهِيّه، حَقيقَة مُقَرَّرَه**

**аксиома**

**axiom**

**aksiom**

**grundsætning**

**aksiomi**

**peruslause**

**perusväite**

**perusväittämä**

**aksiom**

**alapigazság**

**axióma**

**lögmál, grundvallarregla**

**axioma**

**aksioma**

**aksioma, acīmredzama patiesība**

**axióma**

**aksiom**

**axiom**

**aksiyom**

**belit**

## axiom

## axiom

(ˈӕksiəm)*noun*

a fact or statement which is definitely true and accepted as a principle or rule.

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