axiomatize
axiomatize verb: to establish a set of axioms that describe or govern certain phenomena.
Verb
axiomatize (third-person singular simple present axiomatizes, present participle axiomatizing, simple past and past participle axiomatized)
- 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
Forms of axiomatize
| third-person singular present | axiomatizes |
|---|---|
| present participle | axiomatizing |
| past participle | axiomatized |
| past | axiomatized |
| alternative form | axiomatise |
| alternative form | axiomize |
Origin of axiomatize
From axiomatic + -ize.
Words formed from axiomatize
Questions about axiomatize
- What does axiomatize mean?
- Axiomatize means to establish a set of axioms that describe or govern certain phenomena.
- What part of speech is axiomatize?
- Axiomatize is a verb.
- What is the past tense of axiomatize?
- The past tense of axiomatize is axiomatized.
Words near axiomatize in the dictionary
Source and license
Adapted from Wiktionary: axiomatize (page history and authors). Text available under the Creative Commons Attribution-ShareAlike 4.0 license. Word.ws reformatted the entry and added links. Wiktionary data of 2026-09-02.
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