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Axiom vs Observation - What's the difference?

axiom | observation |

As nouns the difference between axiom and observation

is that axiom is axiom while observation is the act of observing, and the fact of being observed.

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

    observation

    English

    Noun

    (en noun)
  • The act of observing, and the fact of being observed.
  • *
  • , title=(The Celebrity), chapter=5 , passage=But Miss Thorn relieved the situation by laughing aloud,
  • * {{quote-magazine, year=2012, month=March-April, author=(Jeremy Bernstein)
  • , volume=100, issue=2, page=146, magazine=(American Scientist) , title= A Palette of Particles , passage=The physics of elementary particles in the 20th century was distinguished by the observation of particles whose existence had been predicted by theorists sometimes decades earlier.}}
  • The act of noting and recording some event; or the record of such noting.
  • A remark or comment.
  • * Shakespeare
  • That's a foolish observation .
  • * Alexander Pope
  • To observations which ourselves we make / We grow more partial for the observer's sake.
  • A judgement based on observing.
  • Performance of what is prescribed; adherence in practice; observance.
  • * Jeremy Taylor
  • We are to procure dispensation or leave to omit the observation of it in such circumstances.

    Derived terms

    * observation car