Axiom: meaning, definitions and examples

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axiom

[ ˈæks.i.əm ]

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mathematics

A statement or proposition that is regarded as being established, accepted, or self-evidently true.

Synonyms

postulate, principle, truth

Examples of usage

The axiom of choice is a fundamental principle in set theory.
One of the axioms of Euclidean geometry states that parallel lines never meet.

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philosophy

A statement or proposition on which an abstractly defined structure is based, used to generate further statements and theorems.

Synonyms

fundamental, premise

Examples of usage

In metaphysics, the principle of causality is considered an axiom for many philosophical arguments.

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general

An established rule or principle or a self-evident truth.

Synonyms

maxim, motto

Examples of usage

The axiom 'treat others as you would like to be treated' is a common ethical guideline.

Translations

Translations of the word "axiom" in other languages:

🇵🇹 axioma

🇮🇳 स्वयंसिद्ध सत्य

🇩🇪 Axiom

🇮🇩 aksioma

🇺🇦 аксіома

🇵🇱 aksjomat

🇯🇵 公理 (こうり)

🇫🇷 axiome

🇪🇸 axioma

🇹🇷 aksiyom

🇰🇷 공리 (공리)

🇸🇦 بديهية

🇨🇿 axiom

🇸🇰 axioma

🇨🇳 公理 (gōnglǐ)

🇸🇮 aksiom

🇮🇸 sjálfgefið

🇰🇿 аксиома

🇬🇪 აქსიომა

🇦🇿 aksiom

🇲🇽 axioma

Word origin

The word 'axiom' originated from the Greek word 'axíōma', meaning 'that which is thought worthy or fit'. It first appeared in English in the late 15th century. In mathematics and philosophy, axioms play a crucial role in establishing the foundation of theories and systems of thought.