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Assumption vs Axiom - What's the difference?

assumption | axiom |

As nouns the difference between assumption and axiom

is that assumption is the act of assuming, or taking to or upon one's self; the act of taking up or adopting while axiom is a seemingly {{l/en|self-evident}} or necessary {{l/en|truth}} which is based on {{l/en|assumption}}; a {{l/en|principle}} or {{l/en|proposition}} which cannot actually be proved or disproved.

assumption

English

(Webster 1913)

Noun

(en noun)
  • The act of assuming]], or taking to or upon one's self; the act of [[take up, taking up or adopting.
  • His assumption of secretarial duties was timely.
  • The act of taking for granted, or supposing a thing without proof; a supposition; an unwarrantable claim.
  • Their assumption of his guilt disqualified them from jury duty.
  • The thing supposed; a postulate, or proposition assumed; a supposition.
  • * {{quote-journal, year=1976, author=, title=The Journal of Aesthetic Education, Volume 10 citation
  • , passage=No doubt a finite evaluative argument must make some unargued evaluative assumptions, just as finite factual arguments must make some unargued factual assumptions.}}
  • (logic) The minor or second proposition in a categorical syllogism.
  • The taking of a person up into heaven.
  • A festival in honor of the ascent of the Virgin Mary into heaven.
  • (rhetoric) Assumptio.
  • Synonyms

    * See also

    axiom

    English

    (wikipedia axiom)

    Noun

  • (en noun); also axiomata (though, becoming less common and sometimes considered archaic)
  • (philosophy) A seemingly which cannot actually be proved or disproved.
  • * '>citation
  • (mathematics, logic, proof theory) A fundamental of theorems. Examples: "Through a pair of distinct points there passes exactly one straight line", "All right angles are congruent".
  • *
  • The axioms read as follows. For every composable pair f'' and ''g'' the composite f \circ g goes from the domain of ''g'' to the codomain of ''f''. For each object ''A'' the identity arrow 1_A goes from ''A'' to ''A . Composing any arrow with an identity arrow (supposing that the two are composable) gives the original arrow. And composition is associative.
  • An established principle in some artistic practice or science that is universally received.
  • The axioms of political economy cannot be considered absolute truths.

    Synonyms

    * (now rare)

    Hypernyms

    * (in logic) well-formed formula, wff, WFF

    Hyponyms

    * (in mathematics) * (in mathematics) * (in mathematics)

    Holonyms

    * (in logic) formal system

    Derived terms

    *

    See also

    (other terms of interest) * conjecture * corollary * demonstration * hypothesis * law * lemma * porism * postulate * premise * principle * proof * proposition * theorem * theory * truism