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Categories
Category, plural categories, may refer to: Philosophy and general uses *Categorization, categories in cognitive science, information science and generally *Category of being *Categories (Aristotle), ''Categories'' (Aristotle) *Category (Kant) *Categories (Peirce) *Category (Vaisheshika) *Stoic categories *Category mistake Mathematics * Category (mathematics), a structure consisting of objects and arrows * Category (topology), in the context of Baire spaces * Lusternik–Schnirelmann category, sometimes called ''LS-category'' or simply ''category'' * Categorical data, in statistics Linguistics *Lexical category, a part of speech such as ''noun'', ''preposition'', etc. *Syntactic category, a similar concept which can also include phrasal categories *Grammatical category, a grammatical feature such as ''tense'', ''gender'', etc. Other * Category (chess tournament) * Objective-C#Categories, Objective-C categories, a computer programming concept * Pregnancy category * Prisoner s ...
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Category Of Being
In ontology, the theory of categories concerns itself with the ''categories of being'': the highest ''genera'' or ''kinds of entities'' according to Amie Thomasson. To investigate the categories of being, or simply categories, is to determine the most fundamental and the broadest classes of entities. A distinction between such categories, in making the categories or applying them, is called an ontological distinction. Various systems of categories have been proposed, they often include categories for substances, properties, relations, states of affairs or events. A representative question within the theory of categories might articulate itself, for example, in a query like, " Are universals prior to particulars?" Early development The process of abstraction required to discover the number and names of the categories of being has been undertaken by many philosophers since Aristotle and involves the careful inspection of each concept to ensure that there is no higher category or cate ...
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Category (Kant)
In Immanuel Kant's philosophy, a category (german: Categorie in the original or ''Kategorie'' in modern German) is a pure concept of the understanding (''Verstand''). A Kantian category is a characteristic of the appearance of any object in general, before it has been experienced (''a priori''). Following Aristotle, Kant uses the term ''categories'' to describe the "pure concepts of the understanding, which apply to objects of intuition in general ''a priori''…" Kant further wrote about the categories: "They are concepts of an object in general, by means of which its intuition is regarded as determined with regard to one of the logical functions for judgments." The categories are the condition of the possibility of objects in general, that is, objects as such, any and all objects, not specific objects in particular. Kant enumerated twelve distinct but thematically related categories. Meaning of "category" The word comes from the Greek κατηγορία, ''katēgoria'', mean ...
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Categories (Peirce)
On May 14, 1867, the 27–year-old Charles Sanders Peirce, who eventually founded pragmatism, presented a paper entitled "On a New List of Categories" to the American Academy of Arts and Sciences. Among other things, this paper outlined a theory of predication involving three universal categories that Peirce continued to apply in philosophy and elsewhere for the rest of his life.Burch, Robert (2001, 2010),Charles Sanders Peirce, ''Stanford Encyclopedia of Philosophy''. See §9 "Triadism and the Universal Categories".Bergman, Michael K. (2018), A Knowledge Representation Practionary: Guidelines Based on Charles Sanders Peirce', Springer Nature Switzerland AG, Cham, Switzerland. See Table 6.2 for about 60 examples throughout Peirce's career. The categories demonstrate and concentrate the pattern seen in "How to Make Our Ideas Clear" (1878, the foundational paper for pragmatism), and other three-way distinctions in Peirce's work. The Categories In Aristotle's logic, categories are ad ...
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Categories (Aristotle)
The ''Categories'' (Greek Κατηγορίαι ''Katēgoriai''; Latin ''Categoriae'' or ''Praedicamenta'') is a text from Aristotle's ''Organon'' that enumerates all the possible kinds of things that can be the subject or the predicate of a proposition. They are "perhaps the single most heavily discussed of all Aristotelian notions". The work is brief enough to be divided, not into books as is usual with Aristotle's works, but into fifteen chapters. The ''Categories'' places every object of human apprehension under one of ten categories (known to medieval writers as the Latin term ''praedicamenta''). Aristotle intended them to enumerate everything that can be expressed without composition or structure, thus anything that can be either the subject or the predicate of a proposition. The text The antepraedicamenta The text begins with an explication of what Aristotle means by "synonymous", or univocal words, what is meant by "homonymous", or equivocal words, and what is mean ...
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Categorization
Categorization is the ability and activity of recognizing shared features or similarities between the elements of the experience of the world (such as Object (philosophy), objects, events, or ideas), organizing and classifying experience by associating them to a more abstract group (that is, a category, class, or type), on the basis of their traits, features, similarities or other criteria that are Universal (metaphysics), universal to the group. Categorization is considered one of the most fundamental cognitive abilities, and as such it is studied particularly by psychology and cognitive linguistics. Categorization is sometimes considered synonymous with classification (cf., Classification (general theory)#Synonyms and near-synonyms, Classification synonyms). Categorization and classification allow humans to organize things, objects, and ideas that exist around them and simplify their understanding of the world. Categorization is something that humans and other organisms ''do ...
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Stoic Categories
Stoic categories are Stoic ideas regarding categories of being: the most fundamental classes of being for all things. The Stoics believed there were four categories (substance, quality, disposition, relative disposition) which were the ultimate divisions. Since we do not now possess even a single complete work by Zeno of Citium, Cleanthes or Chrysippus, what we do know must be pieced together from a number of sources: doxographies and the works of other philosophers who discuss the Stoics for their own purposes. Overview The present information comes from Plotinus and Simplicius, with additional evidence from Plutarch of Chaeronea and Sextus Empiricus. According to both Plotinus and Simplicius there were four Stoic categories: * substance (ὑποκείμενον 'hypokeímenon'' "underlying" ** The primary matter, formless substance (''ousia'') which makes up things. * quality (ποιόν 'poión'' "like what" ** The way in which matter is organized to form an individual obje ...
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Category (mathematics)
In mathematics, a category (sometimes called an abstract category to distinguish it from a concrete category) is a collection of "objects" that are linked by "arrows". A category has two basic properties: the ability to compose the arrows associatively and the existence of an identity arrow for each object. A simple example is the category of sets, whose objects are sets and whose arrows are functions. '' Category theory'' is a branch of mathematics that seeks to generalize all of mathematics in terms of categories, independent of what their objects and arrows represent. Virtually every branch of modern mathematics can be described in terms of categories, and doing so often reveals deep insights and similarities between seemingly different areas of mathematics. As such, category theory provides an alternative foundation for mathematics to set theory and other proposed axiomatic foundations. In general, the objects and arrows may be abstract entities of any kind, and the n ...
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Category
Category, plural categories, may refer to: Philosophy and general uses * Categorization, categories in cognitive science, information science and generally *Category of being * ''Categories'' (Aristotle) *Category (Kant) *Categories (Peirce) *Category (Vaisheshika) *Stoic categories *Category mistake Mathematics * Category (mathematics), a structure consisting of objects and arrows * Category (topology), in the context of Baire spaces * Lusternik–Schnirelmann category, sometimes called ''LS-category'' or simply ''category'' * Categorical data, in statistics Linguistics * Lexical category, a part of speech such as ''noun'', ''preposition'', etc. *Syntactic category, a similar concept which can also include phrasal categories *Grammatical category, a grammatical feature such as ''tense'', ''gender'', etc. Other * Category (chess tournament) * Objective-C categories, a computer programming concept * Pregnancy category * Prisoner security categories in the United Kingdom * ...
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Category (Vaisheshika)
Category, plural categories, may refer to: Philosophy and general uses *Categorization, categories in cognitive science, information science and generally *Category of being * ''Categories'' (Aristotle) *Category (Kant) *Categories (Peirce) *Category (Vaisheshika) *Stoic categories *Category mistake Mathematics * Category (mathematics), a structure consisting of objects and arrows * Category (topology), in the context of Baire spaces * Lusternik–Schnirelmann category, sometimes called ''LS-category'' or simply ''category'' * Categorical data, in statistics Linguistics *Lexical category, a part of speech such as ''noun'', ''preposition'', etc. *Syntactic category, a similar concept which can also include phrasal categories *Grammatical category, a grammatical feature such as ''tense'', ''gender'', etc. Other * Category (chess tournament) * Objective-C categories, a computer programming concept * Pregnancy category * Prisoner security categories in the United Kingdom * We ...
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Lexical Category
In grammar, a part of speech or part-of-speech (abbreviated as POS or PoS, also known as word class or grammatical category) is a category of words (or, more generally, of lexical items) that have similar grammatical properties. Words that are assigned to the same part of speech generally display similar syntactic behavior (they play similar roles within the grammatical structure of sentences), sometimes similar morphological behavior in that they undergo inflection for similar properties and even similar semantic behavior. Commonly listed English parts of speech are noun, verb, adjective, adverb, pronoun, preposition, conjunction, interjection, numeral, article, and determiner. Other terms than ''part of speech''—particularly in modern linguistic classifications, which often make more precise distinctions than the traditional scheme does—include word class, lexical class, and lexical category. Some authors restrict the term ''lexical category'' to refer only to a partic ...
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Categories (word Game)
Categories is a word game where players attempt to list words that fit into particular categories, all starting with the same letter. Players start by deciding on a list of categories between them, such as "town" or "actor", and each writing that list on a sheet of paper. A letter of the alphabet is then chosen at random, and players have a set amount of time to write something for each category that starts with that letter. When the time is up, players swap sheets and score one another's attempts. An entry unique among the group is worth 2 points, whereas an entry shared with another player scores 1 point. The player with the highest total is the winner. For subsequent rounds, a different letter is chosen. U.S. president John F. Kennedy is said to have been a fan of the game, one biography describing his family as playing it "endlessly". Guggenheim In the variant known as "Guggenheim", players write a list of categories down one edge of the paper, and five columns across it, each ...
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Grammatical Category
In linguistics, a grammatical category or grammatical feature is a property of items within the grammar of a language. Within each category there are two or more possible values (sometimes called grammemes), which are normally mutually exclusive. Frequently encountered grammatical categories include: * Tense, the placing of a verb in a time frame, which can take values such as present and past * Number, with values such as singular, plural, and sometimes dual, trial, paucal, uncountable or partitive, inclusive or exclusive * Gender, with values such as masculine, feminine and neuter * Noun classes, which are more general than just gender, and include additional classes like: animated, humane, plants, animals, things, and immaterial for concepts and verbal nouns/actions, sometimes as well shapes * Locative relations, which some languages would represent using grammatical cases or tenses, or by adding a possibly agglutinated lexeme such as a preposition, adjective, or particle. ...
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