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Axiomatic: meaning, definitions and examples

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axiomatic

 

[ ˌaksēəˈmadik ]

Adjective
Context #1 | Adjective

philosophy, mathematics

Axiomatic refers to something that is self-evident or universally accepted as true without requiring proof. In mathematics and logic, axiomatic systems are based on a set of axioms or statements assumed to be true. These axioms serve as the foundation for deriving further truths and theorems. The term is often used in discussions that emphasize the foundational principles of a particular theory or system.

Synonyms

fundamental, implicit, self-evident.

Examples of usage

  • In axiomatic geometry, the postulates are taken as given.
  • The principle is considered axiomatic in that field.
  • Many scientists rely on axiomatic truths in their research.

Translations

Translations of the word "axiomatic" in other languages:

🇵🇹 axiomático

🇮🇳 आधारभूत

🇩🇪 axiomatisch

🇮🇩 aksiomatik

🇺🇦 аксіоматичний

🇵🇱 aksjomatyczny

🇯🇵 公理的な

🇫🇷 axiomatique

🇪🇸 axiomático

🇹🇷 aksiomatik

🇰🇷 공리적인

🇸🇦 بديهي

🇨🇿 axiomatický

🇸🇰 axiomatický

🇨🇳 公理的

🇸🇮 aksiomatický

🇮🇸 axiomatískur

🇰🇿 аксиоматикалық

🇬🇪 აქსიომატური

🇦🇿 aksiomatik

🇲🇽 axiomático

Etymology

The term 'axiomatic' comes from the Greek word 'axioma,' which means 'that which is thought worthy or fit.' The root 'axios' means 'worthy,' indicating that axioms are fundamental truths deemed to be universally accepted without proof. This concept was integrated into Western thought through the works of ancient philosophers like Euclid, who structured geometric principles based on axioms. Over time, the term evolved to encompass broader philosophical, logical, and mathematical discussions, emphasizing the idea that some truths are accepted as starting points for further reasoning. The use of 'axiomatic' has grown in contemporary discourse, often reflecting discussions around foundational principles in various fields, including ethics, finance, and science.

Word Frequency Rank

With rank #19,297, this word belongs to specialized vocabulary. While not common in everyday speech, it enriches your ability to express complex ideas.