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Definitions of category

  1. a collection of things sharing a common attribute; "there are two classes of detergents" Scrapingweb Dictionary DB
  2. a general concept that marks divisions or coordinations in a conceptual scheme Scrapingweb Dictionary DB
  3. 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. Webster Dictionary DB
  4. Class; also, state, condition, or predicament; as, we are both in the same category. Webster Dictionary DB
  5. A class in any general classification. The Winston Simplified Dictionary. By William Dodge Lewis, Edgar Arthur Singer. Published 1919.
  6. What may be affirmed of a class: a class or order. The american dictionary of the english language. By Daniel Lyons. Published 1899.
  7. A class or order. The Concise Standard Dictionary of the English Language. By James Champlin Fernald. Published 1919.
  8. An order or a class; a summum genus, or highest class, that is, a class which comes under no higher, of which classes Aristotle reckoned up ten; in the philosophy of Kant, one of the twelve primitive forms of thought contributed by the understanding independently of experience. Nuttall's Standard dictionary of the English language. By Nuttall, P.Austin. Published 1914.
  9. In logic, the general head of a class, to one among a certain number of which anything whatever is referable; a class; an order of ideas. Etymological and pronouncing dictionary of the English language. By Stormonth, James, Phelp, P. H. Published 1874.
  10. A category K is a collection of objects, obj(K), anda collection of morphisms (or "arrows"), mor(K) such that1. Each morphism f has a "typing" on a pair of objects A, Bwritten 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 calledcomposition and denoted by an infix ring symbol, o. Wemay form the "composite" g o f : A -> C if we have g:B->C andf: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 associatedwith it. This is the identity under composition, shown by theequations id__B o f = f = f o id__A.In general, the morphisms between two objects need not form aset (to avoid problems with Russell's paradox). Anexample of a category is the collection of sets where theobjects are sets and the morphisms are functions.Sometimes the composition ring is omitted. The use ofcapitals for objects and lower case letters for morphisms iswidespread but not universal. Variables which refer tocategories themselves are usually written in a script font. foldoc_fs
  11. kat'e-gor-i, n. what may be affirmed of a class: a class or order.--adjs. CATEGOREMAT'IC, capable of being used by itself as a term; CATEGOR'ICAL, positive: absolute: without exception.--adv. CATEGOR'ICALLY, absolutely: without qualification: expressly.--n. CATEGOR'ICALNESS, the quality of being absolute and unqualified.--n.pl. CAT'EGORIES (phil.), the highest classes under which objects of philosophy can be systematically arranged, understood as an attempt at a comprehensive classification of all that exists: in Kant's system, the root-notions of the understanding, the specific forms of the a priori or formal element in rational cognition (quantity, quality, relation, modality, &c.).--v.t. CAT'EGORISE, to place in a category or list: to class.--n. CATEGOR'IST, one who categorises.--CATEGORICAL IMPERATIVE, in the ethics of Kant, the absolute unconditional command of the moral law, irrespective of every ulterior end or aim--universally authoritative, belonging to the fixed law of nature--'Act from a maxim at all times fit for law universal.' [Gr. kat[=e]goria, kat[=e]goros, an accuser, kata, down, against, agora, assembly.] gutenberg.org/ebooks/37683
  12. (Orig. Greek meaning, statement) one of a possibly exhaustive set of classes among which all things might be distributed (the cc. of Aristotle are: substance, quantity, quality, relation, place, time, posture, possession, action, passion); one of the a priori conceptions applied by the mind as frames to material supplied by sense; class, division. [Latin] Concise Oxford Dictionary
  13. [Gr.] In Logic, a class under which a family of predicables may be ranged. The complete number of categories would thus embrace the whole range of human thought and knowledge. Aristotle framed ten categories which may be reduced to four -substance, quality, quantity, relation; but many other schemes have been put forth, none of which, perhaps, can be regarded as final. Glossary of terms and phrases - Percy
  14. n. [Greek] A class or order of ideas of conceptions;—the list of attributes, qualities, or predicates under each class or order of ideas;—a positive assertion or affirmation of some quality or predicate; a rule or normal law; condition. Cabinet Dictionary
  15. A class, a rank, an order of ideas, predicament. Complete Dictionary

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