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Statement vs Axiom - What's the difference?

statement | axiom |

As nouns the difference between statement and axiom

is that statement is a declaration or remark while axiom is axiom.

As a verb statement

is to provide an official document of a proposition, especially in the uk a statement of special educational needs.

statement

English

Etymology 1

From .

Noun

(en noun)
  • A declaration or remark.
  • A presentation of opinion or position.
  • (finance) A document that summarizes financial activity.
  • a bank statement
  • (computing) An instruction in a computer program.
  • Synonyms
    * See also
    Derived terms
    * environmental impact statement * fashion statement * financial statement * impact statement * mission statement * statemental * victim impact statement * vision statement

    Etymology 2

    and statemented

    Verb

    (en verb)
  • To provide an official document of a proposition, especially in the UK a Statement of Special Educational Needs.
  • See also

    * (projectlink)

    Anagrams

    *

    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