From The Collaborative International Dictionary of English v.0.44 [gcide]:
Theorem \The"o*rem\, noun [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}, noun, 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.
From The Collaborative International Dictionary of English v.0.44 [gcide]:
Theorem \The"o*rem\, verb (used with an object) To formulate into a theorem.
From WordNet (r) 2.0 [wn]:
noun
1: a proposition deducible from basic postulates
2: an idea accepted as a demonstrable truth
From Moby Thesaurus II by Grady Ward, 1.0 [moby-thes]:
53 Moby Thesaurus words for "theorem": a priori principle, a priori truth, affirmation, apriorism, assertion, assumed position, assumption, axiom, basis, brocard, categorical proposition, conjecture, data, deduction, dictate, dictum, first principles, formula, foundation, fundamental, golden rule, ground, hypothesis, hypothesis ad hoc, law, lemma, major premise, minor premise, philosopheme, philosophical proposition, position, postulate, postulation, postulatum, premise, presupposition, principium, principle, proposition, propositional function, rule, self-evident truth, settled principle, statement, sumption, supposal, thesis, truism, truth, truth table, truth-function, truth-value, universal truth
Define.com is a registered nonprofit corporation dedicated solely to the global public interest and the advancement of humanity. It belongs to all of us who have a desire to promote electronic democracy, science, creativity, imagination, reason, critical thinking, peace, race and gender equality, civil rights, equal access to education, personal liberty, free speech, animal rights, compassionate and nonviolent parenting, social and economic justice, global monetary reform, Secular Humanism, cognitive liberty and a permanent cessation of The War on Drugs.
Let's see what we can do if we put our heads together.
0