axiomatize

English

Alternative forms

• axiomatise (mostly UK)
• axiomize

Etymology

From axiomatic +‎ -ize.

Verb

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

1. To establish a set of axioms that describe or govern certain phenomena
   • 1998, Jean-Pierre Marquis, “Book Review: Colin McLarty. Elementary Categories, Elementary Toposes.”, in Notre Dame Journal of Formal Logic‎^[1], volume 39, number 3, page 441:

     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.

Derived terms

• axiomatizability
• axiomatizable
• axiomatization
• unaxiomatized

Related terms

• axiom
• axiomatic, axiomatic system

Translations

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

• Czech: axiomatizovat
• Finnish: aksiomatisoida
• French: axiomatiser (fr)
• German: axiomatisieren (de)
• Polish: aksjomatyzować impf, zzaksjomatyzować pf
• Romanian: axiomatiza (ro)