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1. WordNet® 3.0 (2006) |
category
n 1: a collection of things sharing a common attribute; "there
are two classes of detergents" [syn: class, category,
family]
2: a general concept that marks divisions or coordinations in a
conceptual scheme
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2. 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
Quincey.
[1913 Webster]
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3. The Free On-line Dictionary of Computing (30 December 2018) |
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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Thesaurus Results for Category:
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1. Moby Thesaurus II by Grady Ward, 1.0 |
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 |
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Common Misspellings > |
Category aCategory aCtegory CaCtegory ategory CCategory Ctaegory Cataegory Ctegory Caategory Caetgory Catetgory Caegory Cattegory Catgeory Categeory Catgory Cateegory Cateogry Categogry Cateory Categgory Categroy Categoroy Categry Categoory Categoyr Categoryr Categoy Categorry Categoyry Categor Categoryy sategory csategory scategory dategory cdategory dcategory fategory cfategory fcategory xategory cxategory xcategory vategory cvategory vcategory ategory c ategory category Cqtegory Caqtegory Cqategory Cwtegory Cawtegory Cwategory Cstegory Castegory Csategory Cxtegory Caxtegory Cxategory Cztegory Caztegory Czategory C tegory Ca tegory C ategory Cetegory Citegory Cotegory Cutegory Ca5egory Cat5egory Ca5tegory Ca%egory Cat%egory Ca%tegory Ca6egory Cat6egory Ca6tegory Caregory Catregory Cartegory Cayegory Catyegory Caytegory Cafegory Catfegory Caftegory Cagegory Catgegory Cagtegory Cahegory Cathegory Cahtegory Cat3gory Cate3gory Cat3egory Cat#gory Cate#gory Cat#egory Cat4gory Cate4gory Cat4egory Catwgory Catewgory Catwegory Catrgory Catergory Catregory Catsgory Catesgory Catsegory Catdgory Catedgory Catdegory Catfgory Catefgory Catfegory Catagory Catigory Catogory Catugory Caterory Categrory Catergory Catetory Categtory Catetgory Cateyory Categyory Cateygory Catefory Categfory Catefgory Catehory Categhory Catehgory Catevory Categvory Catevgory Catebory Categbory Catebgory Catenory Categnory Catengory Cate ory Categ ory Cate gory Categ9ry Catego9ry Categ9ory Categ(ry Catego(ry Categ(ory Categ0ry Catego0ry Categ0ory Categiry Categoiry Categiory Categpry Categopry Categpory Categkry Categokry Categkory Categlry Categolry Categlory Categary Categery Categury Catego4y Categor4y Catego4ry Catego$y Categor$y Catego$ry Catego5y Categor5y Catego5ry Categoey Categorey Categoery Categoty Categorty Categotry Categody Categordy Categodry Categofy Categorfy Categofry Categogy Categorgy Categogry Categor6 Category6 Categor6y Categor^ Category^ Categor^y Categor7 Category7 Categor7y Categort Categoryt Categorty Categoru Categoryu Categoruy Categorg Categoryg Categorgy Categorh Categoryh Categorhy Categorj Categoryj Categorjy Definition commonly spelled as: Defanition or Defenition, Synonym as: Synonim, Sinonym or Sinonim, Thesaurus as: Thesorus or Thesauris, Dictionary as: Dictionery or Dictionry and Define is usually not misspelled. What does mispell meen? It Meens...
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