Define axiom. axiom synonyms, axiom pronunciation, axiom translation, English dictionary definition of axiom. self-evident truth; universally accepted principle or rule: “As sure as day follows night” is an axiom. Not to be confused with: adage – trad
Kids Definition axiom noun ax·i·omˈak-sē-əm Last Updated: 5 Nov 2024 - Updated example sentences Love words? Need even more definitions? Subscribe to America's largest dictionary and get thousands more definitions and advanced search—ad free!
Axiom definition: a self-evident truth that requires no proof.. See examples of AXIOM used in a sentence.
Psychology definition for Axiom in normal everyday language, edited by psychologists, professors and leading students. Help us get better.
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Define axiomatised. axiomatised synonyms, axiomatised pronunciation, axiomatised translation, English dictionary definition of axiomatised. or vb to reduce to a system of basic truths or axioms Collins English Dictionary – Complete and Unabridged, 12th
Mathematics, Philosophy[Logic, Math.]a proposition that is assumed without proof for the sake of studying the consequences that follow from it. Greek: something worthy, equivalent. toaxiō-,variant stem ofaxioûnto reckon worthy +-maresultative noun, nominal suffix ...
axiom, in mathematics and logic, general statement accepted without proof as the basis for logically deducing other statements (theorems). Examples of axioms used widely in mathematics are those related to equality (e.g., “Two things equal to the same thing are equal to each other”; “If ...
The term "axiom" has been abused in many different ways, so it is important to distinguish the proper definition from the others. The other definitions amount to calling any arbitrary postulate an 'axiom'. The famous example of this is Euclidean geometry. Euclid was a Greek mathematician who...
Formulas and first-order logic come "below" set theory, in that axiomatic set theories such as ZFC rest on top of first-order logic. In each language of first-order logic, there is a definition for what a formula is, which is a string of characters ((, )), ...