Axiom vs Intuition - What's the difference?
axiom | intuition |
(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.
Immediate cognition without the use of conscious rational processes.
*
A perceptive insight gained by the use of this faculty.
As nouns the difference between axiom and intuition
is that axiom is axiom while intuition is (pedantic).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
* * ----intuition
English
(wikipedia intuition)Alternative forms
* (pedantic)Noun
(en noun)- The native speaker's grammatical competence is reflected in two types of
intuition'' which speakers have about their native language(s) — (i) intuitions'''
about sentence ''well-formedness'', and (ii) '''intuitions about sentence ''structure''.
The word ''intuition'' is used here in a technical sense which has become stand-
ardised in Linguistics: by saying that a native speaker has ''intuitions'' about the
well-formedness and structure of sentences, all we are saying is that he has the
ability to make ''judgments about whether a given sentence is well-formed or
not, and about whether it has a particular structure or not. [...]
