Definitions for: Theorem


[n] an idea accepted as a demonstrable truth
[n] a proposition deducible from basic postulates



Webster (1913) Definition: The"o*rem, n. [L. theorema, Gr. ? a sight,
speculation, theory, theorem, fr. ? to look at, ? a
spectator: cf. F. th['e]or[`e]me. See Theory.]
1. That which is considered and established as a principle;
hence, sometimes, a rule.

Not theories, but theorems (?), the intelligible
products of contemplation, intellectual objects in
the mind, and of and for the mind exclusively.
--Coleridge.

By the theorems, Which your polite and terser
gallants practice, I re-refine the court, and
civilize Their barbarous natures. --Massinger.

2. (Math.) A statement of a principle to be demonstrated.

Note: 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.

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"o*rem, v. t.
To formulate into a theorem.

See Also: binomial theorem, idea, proposition, thought

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