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Theorem vs Definition - What's the difference?

theorem | definition |

As nouns the difference between theorem and definition

is that theorem is theorem while definition is definition.

theorem

English

Noun

(en noun)
  • (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; as, (as which it was known 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

    Holonyms

    * theory

    Derived terms

    * central limit theorem * Pythagorean theorem * binomial theorem * * intercept theorem

    Verb

    (en verb)
  • to formulate into a theorem
  • definition

    Noun

    (en noun)
  • (semantics) A statement of the meaning of a word or word group or a sign or symbol (dictionary definitions).
  • A statement expressing the essential nature of something; formulation
  • The action or process of defining.
  • The act of defining; determination of the limits.
  • A product of defining.
  • The action or power of describing, explaining, or making definite and clear.
  • Her comic genius is beyond definition .
  • Clarity of visual presentation, distinctness of outline or detail.
  • The definition of a telescope.
    Improve the definition of an image.
  • Clarity, especially of musical sound in reproduction.
  • Sharp demarcation of outlines or limits.
  • A jacket with distinct waist definition .
  • (bodybuilding) The degree to which individual muscles are distinct on the body.
  • (programming) A statement which provides a previous declaration with a value or body of a subroutine (in the case of function).
  • (mathematics) A statement that establishes the referent of a term or notation.
  • Synonyms

    * See also

    Derived terms

    * circular definition * conceptual definition * definition by example * definition by pointing * dictionary definition * enumerative definition * extensional definition * intensional definition * lexical definition * operational definition * ostensive definition * precising definition * recursive definition * stipulative definition * working definition