axiomatize

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verb

To establish a set of axioms that describe or govern certain phenomena

Scrabble 28
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Meanings

verbaxiomatize (third-person singular simple present axiomatizes, present participle axiomatizing, simple past and past participle axiomatized)

present singular third person axiomatizes · participle present axiomatizing · participle past axiomatized · past axiomatized · alternative axiomatise · alternative axiomize

  1. To establish a set of axioms that describe or govern certain phenomena

    For toposes were invented by Grothendieck in the sixties for specific purposes in algebraic geometry and algebraic topology. Later on, Lawvere and Tierney [11] axiomatized the notion of an elementary topos with the goal of providing an appropriate foundation for differential geometry.

    1998, Jean-Pierre Marquis, “Book Review: Colin McLarty. Elementary Categories, Elementary Toposes.”, in Notre Dame Journal of Formal Logic, volume 39, number 3, page 441

Origin

From axiomatic + -ize.

Full word history & related roots →

Translations

Catalan axiomatitzar
  • axiomatitzarto establish a set of axioms that describe or govern certain phenomena
Chinese Mandarin 公理化
  • 公理化 (gōnglǐhuà)to establish a set of axioms that describe or govern certain phenomena
Czech axiomatizovat
  • axiomatizovatto establish a set of axioms that describe or govern certain phenomena
Finnish aksiomatisoida
  • aksiomatisoidato establish a set of axioms that describe or govern certain phenomena
French axiomatiser
  • axiomatiserto establish a set of axioms that describe or govern certain phenomena
German axiomatisieren
  • axiomatisierento establish a set of axioms that describe or govern certain phenomena
Polish aksjomatyzować, zaksjomatyzować
  • aksjomatyzowaćto establish a set of axioms that describe or govern certain phenomena
  • zaksjomatyzowaćto establish a set of axioms that describe or govern certain phenomena
Romanian axiomatiza
  • axiomatizato establish a set of axioms that describe or govern certain phenomena
Cite this entry
APA

axiomatize. (n.d.). In WatkinsX Dictionary. Retrieved November 4, 2026, from https://dictionary.watkinsx.com/word/axiomatize

MLA

“axiomatize.” WatkinsX Dictionary, https://dictionary.watkinsx.com/word/axiomatize. Accessed November 4, 2026.

Chicago

WatkinsX Dictionary, s.v. “axiomatize,” accessed November 4, 2026, https://dictionary.watkinsx.com/word/axiomatize.

Source: axiomatize on Wiktionary, CC BY-SA 4.0.