Langimage
English

axiomatizations

|ax-i-o-mat-i-za-tions|

C2

🇺🇸

/ˌæk.si.ə.mə.taɪˈzeɪ.ʃənz/

🇬🇧

/ˌæk.sɪ.ə.mə.taɪˈzeɪ.ʃənz/

(axiomatization)

making into axioms

Base FormPlural3rd Person Sing.PastPast ParticiplePresent ParticipleVerb
axiomatizationaxiomatizationsaxiomatizesaxiomatizedaxiomatizedaxiomatizingaxiomatize
Etymology
Etymology Information

'axiomatization' originates from Greek and New Latin elements: from Greek 'axioma' (ἀξίωμα), meaning 'that which is considered worthy or fit' or 'a proposition thought evident', combined with the verb-forming and nominalizing suffixes later rendered in English as '-ize' and '-ation'.

Historical Evolution

'axioma' (Greek) passed into Latin and Late Latin as 'axioma', then into English as 'axiom'. From this root, English formed the verb 'axiomatize' (attested in the formation of scientific and mathematical terminology) and then the noun 'axiomatization' by adding the suffix '-ation'.

Meaning Changes

Initially, the root meant 'something deemed worthy' or 'a self-evident proposition' (an axiom); over time it extended to denote both 'a set of such propositions' and the later action or process of 'expressing a theory in terms of axioms' (the modern sense of 'axiomatization').

Meanings by Part of Speech

Noun 1

the process or act of reducing a theory or system to a set of axioms; formulation of an axiomatic system.

Recent axiomatizations of the theory made its assumptions explicit.

Synonyms

Antonyms

Noun 2

a particular set of axioms chosen to characterize a theory or system (i.e., an axiomatic formulation).

There are multiple axiomatizations of geometry that emphasize different primitives.

Synonyms

Antonyms

Last updated: 2025/12/06 00:40