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Number & MeasureGreekEnglish

Axiom

/ˈæksiəm/noun

A statement accepted without proof as a starting point for reasoning.

The Greek roots

ἄξιος
áxios
worthy, of like value

Literally: something thought worthy

Follow a root:ἄξιος1 word

The story of the word

ἄξιος first meant weighing as much, balancing the scale, so an ἀξίωμα is a claim that carries its own weight. Aristotle used it for the starting points a science cannot prove and must simply assume. English borrowed the word in the late 15th century. Euclid himself never used it: his own starting points are postulates and common notions, and later editors filed them under axioms.

How it travelled
Ancient Greek → Latin → French → English
First recorded
late 15th century

Same family

axiomaticaxiology

In a sentence

Change one axiom and the whole geometry changes with it.

She treats punctuality as an axiom rather than a preference.

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