Theorem
Theorem , noun
[Latin theorema, Greek {not transcribed} a sight, speculation, theory, theorem, from {not transcribed} to look at, {not transcribed} a spectator: compare French théorème. See Theory.]
1.
That which is considered and established as a principle; hence, sometimes, a rule.
Not theories, but theorems ({not transcribed}), the intelligible products of contemplation, intellectual objects in the mind, and of and for the mind exclusively.
By the theorems,
Which your polite and terser gallants practice,
I re-refine the court, and civilize
Their barbarous natures.
2.
(Mathematics) 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; as, the binomial theorem; Taylor's theorem. See the Note under Proposition, n., 5.
Collocations (5)
Negative theorem , a theorem which expresses the impossibility of any assertion.
Particular theorem (Mathematics) , a theorem which extends only to a particular quantity.
Universal theorem (Mathematics) , a theorem which extends to any quantity without restriction.
Theorem , transitive verb
To formulate into a theorem.