ALL meanings of category
cat·e·go·ry
C c - countable noun category If people or things are divided into categories, they are divided into groups in such a way that the members of each group are similar to each other in some way. 3
- noun category a class or group of things, people, etc, possessing some quality or qualities in common; a division in a system of classification 3
- noun category any one of the most basic classes into which objects and concepts can be analysed 3
- noun category (in the philosophy of Aristotle) any one of ten most fundamental modes of being, such as quantity, quality, and substance 3
- noun category (in the philosophy of Kant) one of twelve concepts required by human beings to interpret the empirical world 3
- noun category 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 3
- noun category a class or division in a scheme of classification 3
- noun category any of the various basic concepts into which all knowledge can be classified 3
- noun category A category in retailing is a grouping of the same or similar products such as breakfast cereals, soft drinks, or detergents. 3
- noun Definition of category in Technology (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 idB o f = f = f o idA. 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. 1
- noun plural category any general or comprehensive division; a class. 1
- noun plural category a classificatory division in any field of knowledge, as a phylum or any of its subdivisions in biology. 1
- noun plural category Metaphysics. (in Aristotelian philosophy) any of the fundamental modes of existence, such as substance, quality, and quantity, as determined by analysis of the different possible kinds of predication. (in Kantian philosophy) any of the fundamental principles of the understanding, as the principle of causation. any classification of terms that is ultimate and not susceptible to further analysis. 1
- noun plural category categories, Also called Guggenheim. (used with a singular verb) a game in which a key word and a list of categories, as dogs, automobiles, or rivers, are selected, and in which each player writes down a word in each category that begins with each of the letters of the key word, the player writing down the most words within a time limit being declared the winner. 1
- noun plural category Mathematics. a type of mathematical object, as a set, group, or metric space, together with a set of mappings from such an object to other objects of the same type. 1
- noun plural category Grammar. part of speech. 1
- noun category class, type 1
- noun category A class or division of people or things regarded as having particular shared characteristics. 1
- noun category A group, often named or numbered, to which items are assigned based on similarity or defined criteria. 0
- noun category (mathematics) A collection of objects, together with a transitively closed collection of composable arrows between them, such that every object has an identity arrow, and such that arrow composition is associative. 0