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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) *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 * Wei ...
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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 ...
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Syntactic Category
A syntactic category is a syntactic unit that theories of syntax assume. Word classes, largely corresponding to traditional parts of speech (e.g. noun, verb, preposition, etc.), are syntactic categories. In phrase structure grammars, the ''phrasal categories'' (e.g. noun phrase, verb phrase, prepositional phrase, etc.) are also syntactic categories. Dependency grammars, however, do not acknowledge phrasal categories (at least not in the traditional sense). Word classes considered as syntactic categories may be called ''lexical categories'', as distinct from phrasal categories. The terminology is somewhat inconsistent between the theoretical models of different linguists. However, many grammars also draw a distinction between ''lexical categories'' (which tend to consist of content words, or phrases headed by them) and ''functional categories'' (which tend to consist of function words or abstract functional elements, or phrases headed by them). The term ''lexical category'' ther ...
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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 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 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 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'': "doing the right thing with the right ''kind'' of thing." The activity of categorizing things can be ...
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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 ...
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Objective-C
Objective-C is a general-purpose, object-oriented programming language that adds Smalltalk-style messaging to the C programming language. Originally developed by Brad Cox and Tom Love in the early 1980s, it was selected by NeXT for its NeXTSTEP operating system. Due to Apple macOS’s direct lineage from NeXTSTEP, Objective-C was the standard programming language used, supported, and promoted by Apple for developing macOS and iOS applications (via their respective APIs, Cocoa and Cocoa Touch) until the introduction of the Swift programming language in 2014. Objective-C programs developed for non-Apple operating systems or that are not dependent on Apple's APIs may also be compiled for any platform supported by GNU GCC or LLVM/ Clang. Objective-C source code 'messaging/implementation' program files usually have filename extensions, while Objective-C 'header/interface' files have extensions, the same as C header files. Objective-C++ files are denoted with a fil ...
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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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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 ...
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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 ...
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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 obj ...
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Prisoner Security Categories In The United Kingdom
In the United Kingdom, prisoners are divided into four categories of security. Each adult is assigned a category, depending on the crime committed, the sentence, the risk of escape, and violent tendencies. The categories are single letters, in alphabetical order, with 'A' as the most secure, and 'D' the least. There are three different prison services in the United Kingdom, and separate services for the three Crown Dependencies. His Majesty's Prison Service manages prisons in England and Wales, and also serves as the National Offender Management Service for England and Wales. Prisons in Scotland are managed by the Scottish Prison Service and prisons in Northern Ireland are managed by the Northern Ireland Prison Service. The Isle of Man and the Channel Islands have their own prison administrations. Prisoner categories in England and Wales Prisons in England and Wales are divided into several categories relating to the age, gender and security classification of the prisoners it ...
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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 * ...
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Categorical Data
In statistics, a categorical variable (also called qualitative variable) is a variable that can take on one of a limited, and usually fixed, number of possible values, assigning each individual or other unit of observation to a particular group or nominal category on the basis of some qualitative property. In computer science and some branches of mathematics, categorical variables are referred to as enumerations or enumerated types. Commonly (though not in this article), each of the possible values of a categorical variable is referred to as a level. The probability distribution associated with a random categorical variable is called a categorical distribution. Categorical data is the statistical data type consisting of categorical variables or of data that has been converted into that form, for example as grouped data. More specifically, categorical data may derive from observations made of qualitative data that are summarised as counts or cross tabulations, or from observatio ...
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