What is the difference between theorem and theory?
theorem | theory |
(mathematics) A mathematical statement of some importance that has been proven to be true. Minor theorems are often called propositions''. Theorems which are not very interesting in themselves but are an essential part of a bigger theorem's proof are called ''lemmas
(mathematics, colloquial, nonstandard) A mathematical statement that is expected to be true; as, (as which it was known long before it was proved in the 1990s.)
(logic) a syntactically correct expression that is deducible from the given axioms of a deductive system
(obsolete) Mental conception; reflection, consideration.
* 1646 , (Thomas Browne), Pseudodoxia Epidemica , VII.19:
(sciences) A coherent statement or set of ideas that explains observed facts or phenomena, or which sets out the laws and principles of something known or observed; a hypothesis confirmed by observation, experiment etc.
* 2002 , Duncan Steel, The Guardian , 23 May 2002:
* 2003 , (Bill Bryson), A Short History of Nearly Everything , BCA, p. 118:
* 2009 , (Richard Dawkins), The Greatest Show On Earth: The Evidence for Evolution , Bantam, p. 10:
* {{quote-magazine, date=2012-01
, author=Michael Riordan
, title=Tackling Infinity
, volume=100, issue=1, page=86
, magazine=
(uncountable) The underlying principles or methods of a given technical skill, art etc., as opposed to its practice.
* 1990 , Tony Bennett, Outside Literature , p. 139:
* 1998 , Elizabeth Souritz, The Great History of Russian Ballet :
(mathematics) A field of study attempting to exhaustively describe a particular class of constructs.
A hypothesis or conjecture.
* 1999 , Wes DeMott, Vapors :
* 2003 , Sean Coughlan, The Guardian , 21 Jun 2003:
(countable, logic) A set of axioms together with all statements derivable from them. Equivalently, a formal language plus a set of axioms (from which can then be derived theorems).
Theory is a related term of theorem.
Theory is a holonym of theorem.
In mathematics terms the difference between theorem and theory
is that theorem is a mathematical statement of some importance that has been proven to be true. Minor theorems are often called propositions. Theorems which are not very interesting in themselves but are an essential part of a bigger theorem's proof are called lemmastheory is a field of study attempting to exhaustively describe a particular class of constructs.As a verb theorem
is to formulate into a theorem.theorem
English
Noun
(en noun)Synonyms
* (proven statement): lemma, proposition, statement * (unproven statement): conjecture * See alsoHolonyms
* theoryDerived terms
* central limit theorem * Pythagorean theorem * binomial theorem * * intercept theoremExternal links
* * *theory
English
Noun
- As they encrease the hatred of vice in some, so doe they enlarge the theory of wickednesse in all.
- It was only when Einstein's theory' of relativity was published in 1915 that physicists could show that Mercury's "anomaly" was actually because Newton's gravitational ' theory was incomplete.
- The world would need additional decades [...] before the Big Bang would begin to move from interesting idea to established theory .
- Scientists and creationists are understanding the word "theory'" in two very different senses. Evolution is a '''theory''' in the same sense as the heliocentric '''theory'''. In neither case should the word "only" be used, as in "only a ' theory ".
citation, passage=Some of the most beautiful and thus appealing physical theories', including quantum electrodynamics and quantum gravity, have been dogged for decades by infinities that erupt when theorists try to prod their calculations into new domains. Getting rid of these nagging infinities has probably occupied far more effort than was spent in originating the ' theories .}}
- Does this mean, then, that there can be no such thing as a theory of literature?
- Lopukhov wrote a number of books and articles on ballet theory , as well as his memoirs.
- Knot theory classifies the mappings of a circle into 3-space.
- It's just a theory I have, and I wonder if women would agree. But don't men say a lot about themselves when a short-skirted woman slides out of a car or chair?
- The theory is that by stripping costs to the bone, they are able to offer ludicrously low fares.
- A theory is consistent if it has a model.