Definify.com
Webster 1913 Edition
Theorem
The′orem
,Noun.
[L.
theorema
, Gr. [GREEK] a sight, speculation, theory, theorem, fr. [GREEK] to look at, [GREEK] a spectator: cf. F. théorème
. See Theory
.] 1.
That which is considered and established as a principle; hence, sometimes, a rule.
Not theories, but
theorems
([GREEK]), the intelligible products of contemplation, intellectual objects in the mind, and of and for the mind exclusively. Coleridge.
By the
Which your polite and terser gallants practice,
I rerefine the court, and civilize
Their barbarous natures.
theorems
,Which your polite and terser gallants practice,
I rerefine the court, and civilize
Their barbarous natures.
Massinger.
2.
(Math.)
A statement of a principle to be demonstrated.
☞ A theorem is something to be proved, and is thus distinguished from a problem, which is something to be solved. In analysis, the term is sometimes applied to a rule, especially a rule or statement of relations expressed in a formula or by symbols; , 5.
as, the binomial
. See the Note under theorem
; Taylor’s theorem
Proposition
, Noun.
Binomial theorem
. (Math.)
See under
– Binomial
. Negative theorem
, a theorem which expresses the impossibility of any assertion.
– Particular theorem
(Math.)
, a theorem which extends only to a particular quantity.
– Theorem of Pappus
. (Math.)
See
– Centrobaric method
, under Centrobaric
. Universal theorem
(Math.)
, a theorem which extends to any quantity without restriction.
The′orem
,Verb.
T.
To formulate into a theorem.
Webster 1828 Edition
Theorem
THE'OREM
,Noun.
1.
In mathematics, a proposition which terminates in theory,and which considers the properties of things already made or done; or it is a speculative proposition deduced from several definitions compared together.A theorem is a proposition to be proved by a chain of reasoning. A theorem is something to be proved; a problem is something to be done.
2.
In algebra or analysis, it is sometimes used to denote a rule, particularly when that rule is expressed by symbols.A universal theorem, extends to any quantity without restriction.
A particular theorem, extends only to a particular quantity.
A negative theorem, expresses the impossibility of any assertion.
A local theorem, is that which relates to a surface.
A solid theorem, is that which considers a space terminated by a solid, that is, by any of the three conic sections.
Definition 2024
Theorem
Theorem
theorem
theorem
See also: Theorem
English
Noun
theorem (plural theorems)
 (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
 Fermat's Last Theorem was known thus long before it was proved in the 1990s.
 (logic) A syntactically correct expression that is deducible from the given axioms of a deductive system.
Synonyms
 (proven statement): lemma, proposition, statement
 (unproven statement): conjecture
 See also Wikisaurus:statement
Holonyms
Hyponyms
Hyponyms of theorem



Related terms
Translations
proved mathematical statement


mathematical statement that is expected to be true
Verb
theorem (thirdperson singular simple present theorems, present participle theoreming, simple past and past participle theoremed)
 (transitive) To formulate into a theorem.