different between axiomatization vs axiomatic

English

Etymology

From axiomatize +? -ation.

Pronunciation

• (UK) IPA^(key): /?aks??m?t???ze??n?/

Noun

axiomatization (plural axiomatizations)

1. The reduction of some system or concept to a set of axioms.
   • 2012, George Dyson, Turing's Cathedral, Penguin 2013, p. 49:

     The axiomatization of set theory formed the foundations, mathematically, of everything else.

2. The result of establishing a concept within a system of axioms; axiomatic system.

Related terms

• axiom
• axiomatic
• axiomatize

English

Etymology

From Ancient Greek ??????????? (axi?matikós, “employing logical propositions”), from ?????? (axí?ma, “self-evident principle”) +? -???? (-ikós, “of or pertaining to, -ic”).

Pronunciation

• IPA^(key): /?æk.si.??mæt.?k/
• Rhymes: -æt?k

Adjective

axiomatic (comparative more axiomatic, superlative most axiomatic)

1. Self-evident or unquestionable. [from 18th c.]
   • 1984, Justice William Brennan, Welsh v. Wisconsin, United States Supreme Court (66 U.S. 740, 748)

     It is axiomatic that the "physical entry of the home is the chief evil against which the wording of the Fourth Amendment is directed."

2. (mathematics) Relating to or containing axioms. [from 19th c.]

Synonyms

• axiomatical
• self-evident

Derived terms

• axiomatically

Related terms

• axiomatize
• axiomatization

Translations

References

• “axiomatic”, in Lexico, Dictionary.com; Oxford University Press, 2019–present.
• “axiomatic”, in Merriam–Webster Online Dictionary, (Please provide a date or year).

Romanian

Etymology

From French axiomatique

Adjective

axiomatic m or n (feminine singular axiomatic?, masculine plural axiomatici, feminine and neuter plural axiomatice)

1. axiomatic

Declension