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Definition 2024


axiomatize

axiomatize

English

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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, 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.

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