To establish a set of axioms that describe or govern certain phenomena(verb)
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Use "axiomatize" in a sentence
"It is impossible to axiomatize what "natural" means in any consistent way."
"For our current purposes, it is convenient to axiomatize this logic as a natural deduction system, taking all tautologies as axioms and the familiar natural deduction rules governing the singular quantifiers and the identity sign as rules of inference."
"If I would axiomatize science I would try to establish the process and its objects."