Axiom vs Observation - What's the difference?
axiom | observation |
(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".
*
An established principle in some artistic practice or science that is universally received.
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= The act of noting and recording some event; or the record of such noting.
A remark or comment.
* Shakespeare
* Alexander Pope
A judgement based on observing.
Performance of what is prescribed; adherence in practice; observance.
* Jeremy Taylor
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
- The axioms read as follows. For every composable pair f'' and ''g'' the composite goes from the domain of ''g'' to the codomain of ''f''. For each object ''A'' the identity arrow 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.
- The axioms of political economy cannot be considered absolute truths.
Synonyms
* (now rare)Hypernyms
* (in logic) well-formed formula, wff, WFFHyponyms
* (in mathematics) * (in mathematics) * (in mathematics)Holonyms
* (in logic) formal systemDerived terms
*See also
(other terms of interest) * conjecture * corollary * demonstration * hypothesis * law * lemma * porism * postulate * premise * principle * proof * proposition * theorem * theory * truismExternal links
* * ----observation
English
Noun
(en noun)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.}}
- That's a foolish observation .
- To observations which ourselves we make / We grow more partial for the observer's sake.
- We are to procure dispensation or leave to omit the observation of it in such circumstances.
