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Theorem vs Categorification - What's the difference?

theorem | categorification |

As nouns the difference between theorem and categorification

is that theorem is theorem while categorification is (mathematics) a procedure that defines theorems in terms of category theory.

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

    Related terms

    * theoretical * theory

    Verb

    (en verb)
  • to formulate into a theorem

    • External links

    * * *

    categorification

    English

    Noun

    (wikipedia categorification) (en noun)
  • (mathematics) A procedure that defines theorems in terms of category theory