Axiom: meaning, definitions and examples
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axiom
[ ˈæks.i.əm ]
mathematics
A statement or proposition that is regarded as being established, accepted, or self-evidently true.
Synonyms
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.
philosophy
A statement or proposition on which an abstractly defined structure is based, used to generate further statements and theorems.
Synonyms
Examples of usage
- In metaphysics, the principle of causality is considered an axiom for many philosophical arguments.
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
Etymology
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.