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English

Etymology

From catégorie, from categoria, "class of predicables", from ancient κατηγορία, "head of predicables".

Pronunciation

IPA: /ˈkætəˌgoɹi/

  • An audio transcript can be found at en-us-category.ogg


Noun

  1. A group, often named or numbered, to which items are assigned based on similarity or defined criteria.
  2. : This steep and dangerous climb belongs to the most difficult category.
  3. : I wouldn't put this book in the same category as the author's first novel.
  4. A collection of objects, together with a transitively closed collection of composable arrows between them, such that every object has an identity arrow.
  5. : One well-known category has sets as objects and functions as arrows.


Synonyms


Derived terms


Related terms


Translations

  • Hungarian:
  • Italian: {{t+|it|categoria|f}}
  • Japanese: 部門(ぶもん, bumon), 分類 (bunrui), 種別 (shubetsu)
  • Latin: {{t-|la|categoria|f}}
  • Portuguese: {{t+|pt|categoria|f}}
  • Russian: {{t+|ru|категория|f|tr=kat'egórija|sc=Cyrl}}
  • Slovene: {{t+|sl|kategorija|f}}
  • Swedish: {{t+|sv|kategori|c}}
  • Czech: {{t+|cs|kategorie|f}}
  • Dutch: {{t+|nl|categorie|f}}
  • Finnish:
  • French: {{t+|fr|catégorie|f}}
  • German: {{t+|de|Kategorie|f}}

Category:Category theory Category:Greek derivations

fa:category fr:category ko:category io:category id:category it:category lo:category lt:category hu:category pt:category ru:category simple:category fi:category sv:category ta:category te:category vi:category tr:category zh:category

GNU Project's publication of CIDE, the Collaborative International Dictionary of English 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
Quincey.
[1913 Webster]
WordNet category
n 1: a collection of things sharing a common attribute; "there
are two classes of detergents" [syn: class, family]
2: a general concept that marks divisions or coordinations in a
conceptual scheme
Moby Dictionary
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


FOLDOC category

A category K is a collection of objects, obj(K), and
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
"co-domain".

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
f:A->B.

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
equations 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.

(1997-10-06)


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