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Cumulativity
In linguistic semantics, an expression X is said to have cumulative reference if and only if the following holds: If X is true of both of ''a'' and ''b'', then it is also true of the combination of ''a'' and ''b''. Example: If two separate entities can be said to be "water", then combining them into one entity will yield more "water". If two separate entities can be said to be "a house", their combination cannot be said to be "a house". Hence, "water" has cumulative reference, while the expression "a house" does not. The plural form "houses", however, ''does'' have cumulative reference. If two (groups of) entities are both "houses", then their combination will still be "houses". Cumulativity has proven relevant to the linguistic treatment of the mass/count distinction and for the characterization of grammatical telicity. Formally, a cumulative predicate ''CUM'' can be defined as follows, where capital ''X'' is a variable over sets, ''U'' is the universe of discourse, ''p ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Mass Noun
In linguistics, a mass noun, uncountable noun, non-count noun, uncount noun, or just uncountable, is a noun with the syntactic property that any quantity of it is treated as an undifferentiated unit, rather than as something with discrete elements. Non-count nouns are distinguished from count nouns. Given that different languages have different grammatical features, the actual test for which nouns are mass nouns may vary between languages. In English, mass nouns are characterized by the impossibility of being directly modified by a numeral without specifying a unit of measurement and by the impossibility of being combined with an indefinite article (''a'' or ''an''). Thus, the mass noun "water" is quantified as "20 litres of water" while the count noun "chair" is quantified as "20 chairs". However, both mass and count nouns can be quantified in relative terms without unit specification (e.g., "so much water", "so many chairs"). Mass nouns have no concept of singular and plura ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Telicity
In linguistics, telicity (; ) is the property of a verb or verb phrase that presents an action or event as having a specific endpoint. A verb or verb phrase with this property is said to be ''telic''; if the situation it describes is ''not'' heading for any particular endpoint, it is said to be ''atelic''. Testing for telicity in English One common way to gauge whether an English verb phrase is telic is to see whether such a phrase as ''in an hour'', in the sense of "within an hour", (known as a ''time-frame adverbial'') can be applied to it. Conversely, a common way to gauge whether the phrase is atelic is to see whether such a phrase as ''for an hour'' (a ''time-span adverbial'') can be applied to it. This can be called the ''time-span/time-frame test''. According to this test, the verb phrase ''built a house'' is telic, whereas the minimally different ''built houses'' is atelic: : Fine: "John built a house in a month." : Bad: *"John built a house for a month." :: → ''bu ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Semantics
Semantics (from grc, σημαντικός ''sēmantikós'', "significant") is the study of reference, meaning, or truth. The term can be used to refer to subfields of several distinct disciplines, including philosophy, linguistics and computer science. History In English, the study of meaning in language has been known by many names that involve the Ancient Greek word (''sema'', "sign, mark, token"). In 1690, a Greek rendering of the term ''semiotics'', the interpretation of signs and symbols, finds an early allusion in John Locke's ''An Essay Concerning Human Understanding'': The third Branch may be called [''simeiotikí'', "semiotics"], or the Doctrine of Signs, the most usual whereof being words, it is aptly enough termed also , Logick. In 1831, the term is suggested for the third branch of division of knowledge akin to Locke; the "signs of our knowledge". In 1857, the term '' semasiology'' (borrowed from German ''Semasiologie'') is attested in Josiah W. Gibb ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
English Plural
English nouns are inflected for grammatical number, meaning that, if they are of the countable type, they generally have different forms for singular and plural. This article discusses the variety of ways in which English plural nouns are formed from the corresponding singular forms, as well as various issues concerning the usage of singulars and plurals in English. For plurals of pronouns, see English personal pronouns. Phonological transcriptions provided in this article are for Received Pronunciation and General American. For more information, see English phonology. Meaning Although the everyday meaning of ''plural'' is "more than one", the grammatical term has a slightly different technical meaning. In the English system of grammatical number, singular means "one (or minus one)", and plural means "not singular". In other words, plural means not just "more than one" but also "less than one". This less-than aspect can be seen in cases like ''the temperature is zero degrees'' ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Variable (mathematics)
In mathematics, a variable (from Latin '' variabilis'', "changeable") is a symbol that represents a mathematical object. A variable may represent a number, a vector, a matrix, a function, the argument of a function, a set, or an element of a set. Algebraic computations with variables as if they were explicit numbers solve a range of problems in a single computation. For example, the quadratic formula solves any quadratic equation by substituting the numeric values of the coefficients of that equation for the variables that represent them in the quadratic formula. In mathematical logic, a ''variable'' is either a symbol representing an unspecified term of the theory (a meta-variable), or a basic object of the theory that is manipulated without referring to its possible intuitive interpretation. History In ancient works such as Euclid's ''Elements'', single letters refer to geometric points and shapes. In the 7th century, Brahmagupta used different colours to represent th ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Set (mathematics)
A set is the mathematical model for a collection of different things; a set contains '' elements'' or ''members'', which can be mathematical objects of any kind: numbers, symbols, points in space, lines, other geometrical shapes, variables, or even other sets. The set with no element is the empty set; a set with a single element is a singleton. A set may have a finite number of elements or be an infinite set. Two sets are equal if they have precisely the same elements. Sets are ubiquitous in modern mathematics. Indeed, set theory, more specifically Zermelo–Fraenkel set theory, has been the standard way to provide rigorous foundations for all branches of mathematics since the first half of the 20th century. History The concept of a set emerged in mathematics at the end of the 19th century. The German word for set, ''Menge'', was coined by Bernard Bolzano in his work ''Paradoxes of the Infinite''. Georg Cantor, one of the founders of set theory, gave the following ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Universe Of Discourse
In the formal sciences, the domain of discourse, also called the universe of discourse, universal set, or simply universe, is the set of entities over which certain variables of interest in some formal treatment may range. Overview The domain of discourse is usually identified in the preliminaries, so that there is no need in the further treatment to specify each time the range of the relevant variables. Many logicians distinguish, sometimes only tacitly, between the ''domain of a science'' and the ''universe of discourse of a formalization of the science''.José Miguel Sagüillo, Domains of sciences, universe of discourse, and omega arguments, History and philosophy of logic, vol. 20 (1999), pp. 267–280. Examples For example, in an interpretation of first-order logic, the domain of discourse is the set of individuals over which the quantifiers range. A proposition such as is ambiguous, if no domain of discourse has been identified. In one interpretation, the domain of ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Mereology
In logic, philosophy and related fields, mereology ( (root: , ''mere-'', 'part') and the suffix ''-logy'', 'study, discussion, science') is the study of parts and the wholes they form. Whereas set theory is founded on the membership relation between a set and its elements, mereology emphasizes the meronomic relation between entities, which—from a set-theoretic perspective—is closer to the concept of inclusion between sets. Mereology has been explored in various ways as applications of predicate logic to formal ontology, in each of which mereology is an important part. Each of these fields provides its own axiomatic definition of mereology. A common element of such axiomatizations is the assumption, shared with inclusion, that the part-whole relation orders its universe, meaning that everything is a part of itself ( reflexivity), that a part of a part of a whole is itself a part of that whole ( transitivity), and that two distinct entities cannot each be a part of the o ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Mathematical Structure
In mathematics, a structure is a set endowed with some additional features on the set (e.g. an operation, relation, metric, or topology). Often, the additional features are attached or related to the set, so as to provide it with some additional meaning or significance. A partial list of possible structures are measures, algebraic structures ( groups, fields, etc.), topologies, metric structures (geometries), orders, events, equivalence relations, differential structures, and categories. Sometimes, a set is endowed with more than one feature simultaneously, which allows mathematicians to study the interaction between the different structures more richly. For example, an ordering imposes a rigid form, shape, or topology on the set, and if a set has both a topology feature and a group feature, such that these two features are related in a certain way, then the structure becomes a topological group. Mappings between sets which preserve structures (i.e., structures in th ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Manfred Krifka
Manfred Krifka (born 26 April 1956 in Dachau) is a German linguist. He is the director of the Leibniz Centre for General Linguistics (Leibniz-Zentrum Allgemeine Sprachwissenschaft, ZAS) in Berlin, a professor at the Humboldt University of Berlin, and editor of the academic journal ''Theoretical Linguistics''. See staff bio and journal web pages in External links below. Career and education Krifka graduated from the Ludwig Maximilian University of Munich in 1986 in Theoretical Linguistics, Philosophy and Theory of Science, and Psycholinguistics. He consequently held positions at the University of Tübingen 1986 - 1989, at the University of Texas at Austin 1990 - 2000, and at Humboldt University of Berlin 2000 - current. He has been the director of the Leibniz Centre for General Linguistics (ZAS) since 2001. Work Krifka's main areas of research are linguistic semantics, pragmatics, language typology and Melanesian languages, especially languages of Ambrym. He has done substan ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Renate Bartsch
Renate Irmtraut Bartsch (born 12 December 1939) is a German philosopher of language. She was a professor at the University of Amsterdam between 1974 and 2004. Career Bartsch was born on 12 December 1939 in Königsberg. She earned her Doctor title at Heidelberg University in 1967 with a thesis titled: "Grundzüge einer empiristischen Bedeutungstheorie". Bartsch worked as professor of philosophy of language at the University of Amsterdam from 1974 until she retired in 2004. Bartsch became a member of the Royal Netherlands Academy of Arts and Sciences The Royal Netherlands Academy of Arts and Sciences ( nl, Koninklijke Nederlandse Akademie van Wetenschappen, abbreviated: KNAW) is an organization dedicated to the advancement of science and literature in the Netherlands. The academy is housed ... in 2000. References 1939 births Living people Heidelberg University alumni Members of the Royal Netherlands Academy of Arts and Sciences Writers from Königsberg Philosophers ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
