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Axiom vs Motto - What's the difference?

axiom | motto |

As nouns the difference between axiom and motto

is that 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 while motto is a sentence, phrase, or word, forming part of an heraldic achievement.

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

    *

    Related terms

    * axiomatize * axiomatization

    See also

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

    External links

    * * ----

    motto

    English

    (Webster 1913)

    Noun

    (en-noun)
  • (heraldry) A sentence, phrase, or word, forming part of an heraldic achievement.
  • A sentence, phrase, or word, prefixed to an essay, discourse, chapter, canto, or the like, suggestive of its subject matter; a short, suggestive expression of a guiding principle; a maxim.
  • * (Joseph Addison) (1672-1719)
    • It was the motto of a bishop eminent for his piety and good works, ... Serve God, and be cheerful.
  • *{{quote-book, year=1922, author=(Ben Travers), title=(A Cuckoo in the Nest)
    • , chapter=1 citation , passage=“[…] the awfully hearty sort of Christmas cards that people do send to other people that they don't know at all well. You know. The kind that have mottoes like
      Here's rattling good luck and roaring good cheer, / With lashings of food and great hogsheads of beer. […]”}}

    Synonyms

    * See also