category

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category,

philosophical term that literally means predication or assertion. It was first used by Aristotle, whose 10 categories formed a list of all the ways in which assertions can be made of a subject. Immanuel Kant's 12 categories constitute an exhaustive list of the a priori forms through which a person knows the phenomenal world. The term has also been used in many other senses by various philosophers.

category,

in taxonomy: see classificationclassification,
in biology, the systematic categorization of organisms into a coherent scheme. The original purpose of biological classification, or systematics, was to organize the vast number of known plants and animals into categories that could be named, remembered, and
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.

Category

A component of the LEED Green Building Rating System. Each LEED (Leadership in Energy and Environmental Design) prerequisite and credit falls within one of six categories (five Sustainable categories and one Innovation and Design Process category).

category

  1. a conceptual class or set.
  2. (PHILOSOPHY) a fundamental class or kind (e.g. ARISTOTLE's 10 classes of all modes ofbeing).
  3. pl. KANT's a priori modes of understanding (e.g. ‘causality’, 'S ubstance’) which he believed shaped all our perceptions of the world.

Category

 

in linguistics, linguistic meanings that are correlated and interrelated on the basis of a common semantic feature and represent a closed system of subdivisions of this feature. Examples are the category of person in the Russian language (encompassing three meanings, based on the feature of participation in the act of speech), the category of gender in Russian adjectives, and the lexical category of color designation.

Categories are distinguished according to the nature of their semantics (denotative, semantic-syntactical), the degree of their obligatory use in a given language (grammatical, nongrammati-cal), and the means of expression (morphological, lexical, syntactical). Categories that are semantically close may be obligatory in some languages and optional in others. Thus, the category of locative relationships among nouns is expressed in the Lak language by a category comprising a series of locative cases (k“atluin, “to the house”; k“atluinmai, “in the direction of the house”; k“atluikh, “above the house and past it”), whereas in Russian the corresponding meanings are expressed by separate lexical units. The grammatical (obligatory) categories in a language form rigid hierarchical systems. For example, categories expressed by the noun in Hungarian include number, possession, the person and number of the possessor, the relative, the number of the relative, and case.

B. IU. GORODETSKII

category

[′kad·ə‚gȯr·ē]
(mathematics)
A class of objects together with a set of morphisms for each pair of objects and a law of composition for morphisms; sets and functions form an important category, as do groups and homomorphisms.
(systematics)
In a hierarchical classification system, the level at which a particular group is ranked.

category

1. Metaphysics any one of the most basic classes into which objects and concepts can be analysed
2. 
a. (in the philosophy of Aristotle) any one of ten most fundamental modes of being, such as quantity, quality, and substance
b. (in the philosophy of Kant) one of twelve concepts required by human beings to interpret the empirical world
c. any set of objects, concepts, or expressions distinguished from others within some logical or linguistic theory by the intelligibility of a specific set of statements concerning them

category

(theory)
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.
References in periodicals archive ?
We should distinguish between categorial intentions, which are intentions about what category an artwork belongs to, and semantic intentions, which are intentions about work-meaning.
Compared with subject-oriented adverbs, subject-related adverbs therefore arrange themselves at a different point of the categorial space between adjective and adverbs: as there is no adverbial function, subject-relatedness pushes these '-ly' words into the category adjective and away from the category adverb within the categorial space shared by adjectives and adverbs.
A analise categorial por ano tambem revela aspectos sobre a construcao e/ou afirmacao identitaria da cidade via Diarios Associados e em qual contexto historico se deu sua implantacao.
La question beaucoup plus difficile concerne l'origine, la genese, d'un concept, qu'il soit empirique ou categorial (et, au fond, tout l'ecole brentanienne est hantee par le probleme conceptuel de l'origine: l'origine de la connaissance morale, l'origine du langage, l'origine de la representation de l'espace, l'origine du nombre, de la geometrie, etc.
This assumption presupposes a conception of grammar, the principal mechanism of which are the inherent combinatorial and categorial properties of lexical items.
First we show a simple example of domain-specific framework reuse through categorial constructions and refinements.
Even persons who have never heard of Emmanuel Kant or the categorial imperative to punish believe that violation of law must be followed by the infliction of pain.
1) Expenditures for AFDC-related Medicaid protection include money spent for persons receiving AFDC cash assistance as well as people in various Medicaid-only programs, such as medically needy where people meet AFDC categorial requirements.
The categorial dependent variable in the analysis consists of the ordered source of investment in children (which ranges from the extreme where father and father's kin is the nearly exclusive source to the extreme where mother and mother's kin is the nearly exclusive source).
Examination of the instructionally relevant learner characteristics of LD and remedial students will help address issues such as the extent to which LD and remedial programs serve children with different instructional needs; the feasibility of grouping LD and remedial children together for instruction; and whether the majority of low-achieving, special needs children could be served within one integrated program with one funding source, one set of rules and regulations, and one administration rather than in a host of distinct categorial programs as they are now served.
With regard to reference, Lowe defends what he calls categorialism," which is the claim that a person can single out an object in thought only if he grasps some categorial concept (for example, animal") under which he conceives the object.
In terms of categorial structure, we can distinguish between absorptions, where the source of the base is associated with a distinct category, and incorporation, where the base is categorially constant.