Theorem definition

Theorem





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4 definitions found

From The Collaborative International Dictionary of English v.0.48 [gcide]:

  Theorem \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.
        [1913 Webster]


  
              Not theories, but theorems (?), the intelligible
              products of contemplation, intellectual objects in
              the mind, and of and for the mind exclusively.
                                                    --Coleridge.
        [1913 Webster]
  
              By the theorems,
              Which your polite and terser gallants practice,
              I re-refine the court, and civilize
              Their barbarous natures.              --Massinger.
        [1913 Webster]
  
     2. (Math.) A statement of a principle to be demonstrated.
        [1913 Webster]
  
     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.
           [1913 Webster]
  
     {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.
        [1913 Webster]

From The Collaborative International Dictionary of English v.0.48 [gcide]:

  Theorem \The"o*rem\, v. t.
     To formulate into a theorem.
     [1913 Webster] Theorematic

From WordNet (r) 2.0 [wn]:

  theorem
       n 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
  
  

















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