Axiom vs Rule - What's the difference?
axiom | rule |
(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.
A regulation, law, guideline.
* Tillotson
* {{quote-magazine, date=2013-06-22, volume=407, issue=8841, page=68, magazine=(The Economist)
, title= A ruler; device for measuring, a straightedge, a measure.
* South
A straight line , especially one lying across a paper as a guide for writing.
A regulating principle.
* c. 1604, William Shakespeare, All's well that ends well , Act I, scene I:
The act of ruling; administration of law; government; empire; authority; control.
* Bible, Hebrews xiii. 17
* Alexander Pope
A normal condition or state of affairs.
(obsolete) Conduct; behaviour.
* Shakespeare
(legal) An order regulating the practice of the courts, or an order made between parties to an action or a suit.
(math) A determinate method prescribed for performing any operation and producing a certain result.
(printing, dated) A thin plate of brass or other metal, of the same height as the type, and used for printing lines, as between columns on the same page, or in tabular work.
To regulate, be in charge of, make decisions for, reign over.
* , chapter=13
, title= (slang) To excel.
To mark (paper or the like) with (lines).
To decide judicially.
* {{quote-magazine, date=2013-06-21, author=
, volume=189, issue=2, page=10, magazine=(The Guardian Weekly)
, title= To establish or settle by, or as by, a rule; to fix by universal or general consent, or by common practice.
* Atterbury
As nouns the difference between axiom and rule
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 rule is a regulation, law, guideline.As a verb rule is
to regulate, be in charge of, make decisions for, reign over.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
* * ----rule
English
Noun
(en noun)- We profess to have embraced a religion which contains the most exact rules for the government of our lives.
T time, passage=The ability to shift profits to low-tax countries by locating intellectual property in them
- A judicious artist will use his eye, but he will trust only to his rule .
- There's little can be said in 't; 'Tis against the rule of nature.
- Obey them that have the rule over you.
- His stern rule the groaning land obeyed.
- My rule is to rise at six o'clock.
- This uncivil rule ; she shall know of it.
- (Wharton)
- a rule for extracting the cube root
Derived terms
* exception that proves the rule * golden rule * rule of action * rule of law * rule of thumb * silver rule * slide rule * there is an exception to every ruleVerb
(rul)The Mirror and the Lamp, passage=And Vickers launched forth into a tirade very different from his platform utterances. He spoke with extreme contempt of the dense stupidity exhibited on all occasions by the working classes. He said that if you wanted to do anything for them, you must rule them, not pamper them. Soft heartedness caused more harm than good.}}
Karen McVeigh
US rules human genes can't be patented, passage=The US supreme court has ruled unanimously that natural human genes cannot be patented, a decision that scientists and civil rights campaigners said removed a major barrier to patient care and medical innovation.}}
- That's a ruled case with the schoolmen.