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4 definitions found
 for category
From The Collaborative International Dictionary of English v.0.48 :

  Category \Cat"e*go*ry\, n.; pl. Categories. [L. categoria, Gr.
     ?, fr. ? to accuse, affirm, predicate; ? down, against + ? to
     harrangue, assert, fr. ? assembly.]
     1. (Logic.) One of the highest classes to which the objects
        of knowledge or thought can be reduced, and by which they
        can be arranged in a system; an ultimate or undecomposable
        conception; a predicament.
        [1913 Webster]
              The categories or predicaments -- the former a Greek
              word, the latter its literal translation in the
              Latin language -- were intended by Aristotle and his
              followers as an enumeration of all things capable of
              being named; an enumeration by the summa genera
              i.e., the most extensive classes into which things
              could be distributed.                 --J. S. Mill.
        [1913 Webster]
     2. Class; also, state, condition, or predicament; as, we are
        both in the same category.
        [1913 Webster]
              There is in modern literature a whole class of
              writers standing within the same category. --De
        [1913 Webster]

From WordNet (r) 3.0 (2006) :

      n 1: a collection of things sharing a common attribute; "there
           are two classes of detergents" [syn: class, category,
      2: a general concept that marks divisions or coordinations in a
         conceptual scheme

From Moby Thesaurus II by Grady Ward, 1.0 :

  49 Moby Thesaurus words for "category":
     area, blood, bracket, branch, caste, clan, class, classification,
     department, division, estate, grade, group, grouping, head,
     heading, kin, kind, label, league, level, list, listing, order,
     pigeonhole, position, predicament, race, rank, ranking, rating,
     rubric, section, sector, sept, set, sort, sphere, station, status,
     strain, stratum, subdivision, subgroup, suborder, tier, title,
     type, variety

From The Free On-line Dictionary of Computing (30 December 2018) :

      A category K is a collection of objects, obj(K), and
     morphisms+(or+"{arrows">a collection of morphisms (or "{arrows"), mor(K) such that
     1. Each morphism f has a "typing" on a pair of objects A, B
     written f:A->B.  This is read 'f is a morphism from A to B'.
     A is the "source" or "{domain" of f and B is its "target" or
     2. There is a partial function on morphisms called
     composition and denoted by an infix ring symbol, o.  We
     may form the "composite" g o f : A -> C if we have g:B->C and
     3. This composition is associative: h o (g o f) = (h o g) o f.
     4. Each object A has an identity morphism id_A:A->A associated
     with it.  This is the identity under composition, shown by the
      id__B o f = f = f o id__A.
     In general, the morphisms between two objects need not form a
     set (to avoid problems with Russell's paradox).  An
     example of a category is the collection of sets where the
     objects are sets and the morphisms are functions.
     Sometimes the composition ring is omitted.  The use of
     capitals for objects and lower case letters for morphisms is
     widespread but not universal.  Variables which refer to
     categories themselves are usually written in a script font.

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