Exhaustivity
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Exhaustivity
In linguistics, exhaustivity is the phenomenon where a proposition can be strengthened with the negation of certain alternatives. For example, in response to the question "Which students got an A?", the utterance "Ava got an A" has an exhaustive interpretation when it conveys that no other students got an A. It has a non-exhaustive interpretation when it merely conveys that Ava was among the students who got an A. Exhaustivity is a major topic in the linguistic subfields of semantics and pragmatics. Research on the topic aims to explain when and why expressions receive exhaustive interpretations. Particular factors include focus, disjunction, questions, and polarity items. A major theoretical issue is whether exhaustivity is a semantic entailment encoded in the grammar, a pragmatic implicature arising from Gricean social cognition, or some combination of the two. See also * Alternative semantics * Focus * Free choice inference * Scalar implicature In pragmatics, scalar implic ...
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Scalar Implicature
In pragmatics, scalar implicature, or quantity implicature, is an implicature that attributes an ''implicit'' meaning beyond the explicit or ''literal'' meaning of an utterance, and which suggests that the utterer had a reason for not using a more informative or ''stronger'' term on the same scale. The choice of the weaker characterization suggests that, as far as the speaker knows, none of the stronger characterizations in the scale holds. This is commonly seen in the use of 'some' to suggest the meaning 'not all', even though 'some' is logically consistent with 'all'. If Bill says 'I have some of my money in cash', this utterance suggests to a hearer (though the sentence uttered does not logically imply it) that Bill does not have all his money in cash. Origin Scalar implicatures typically arise where the speaker qualifies or scales their statement with language that conveys to the listener an inference or implicature that indicates that the speaker had reasons not to use a ...
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Free Choice Inference
Free choice is a phenomenon in natural language where a linguistic disjunction appears to receive a logical conjunctive interpretation when it interacts with a modal operator. For example, the following English sentences can be interpreted to mean that the addressee can watch a movie ''and'' that they can also play video games, depending on their preference: # You can watch a movie or play video games. # You can watch a movie or you can play video games. Free choice inferences are a major topic of research in formal semantics and philosophical logic because they are not valid in classical systems of modal logic. If they were valid, then the semantics of natural language would validate the ''Free Choice Principle''. # ''Free Choice Principle'': \Diamond( P \lor Q) \rightarrow (\Diamond P \land \Diamond Q) This symbolic logic formula above is not valid in classical modal logic: Adding this principle as an axiom to standard modal logics would allow one to conclude \Diamond Q ...
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Linguistics
Linguistics is the scientific study of language. The areas of linguistic analysis are syntax (rules governing the structure of sentences), semantics (meaning), Morphology (linguistics), morphology (structure of words), phonetics (speech sounds and equivalent gestures in sign languages), phonology (the abstract sound system of a particular language, and analogous systems of sign languages), and pragmatics (how the context of use contributes to meaning). Subdisciplines such as biolinguistics (the study of the biological variables and evolution of language) and psycholinguistics (the study of psychological factors in human language) bridge many of these divisions. Linguistics encompasses Outline of linguistics, many branches and subfields that span both theoretical and practical applications. Theoretical linguistics is concerned with understanding the universal grammar, universal and Philosophy of language#Nature of language, fundamental nature of language and developing a general ...
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Grammar
In linguistics, grammar is the set of rules for how a natural language is structured, as demonstrated by its speakers or writers. Grammar rules may concern the use of clauses, phrases, and words. The term may also refer to the study of such rules, a subject that includes phonology, morphology (linguistics), morphology, and syntax, together with phonetics, semantics, and pragmatics. There are, broadly speaking, two different ways to study grammar: traditional grammar and #Theoretical frameworks, theoretical grammar. Fluency in a particular language variety involves a speaker internalizing these rules, many or most of which are language acquisition, acquired by observing other speakers, as opposed to intentional study or language teaching, instruction. Much of this internalization occurs during early childhood; learning a language later in life usually involves more direct instruction. The term ''grammar'' can also describe the linguistic behaviour of groups of speakers and writer ...
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Focus (linguistics)
In linguistics Linguistics is the scientific study of language. The areas of linguistic analysis are syntax (rules governing the structure of sentences), semantics (meaning), Morphology (linguistics), morphology (structure of words), phonetics (speech sounds ..., focus ( abbreviated ) is a grammatical category that conveys which part of the sentence contributes new, non-derivable, or contrastive information. In the English language, English sentence "Mary only insulted BILL", focus is expressed Prosody (linguistics), prosodically by a pitch accent (intonation), pitch accent on "Bill" which identifies him as the only person whom Mary insulted. By contrast, in the sentence "Mary only INSULTED Bill", the verb "insult" is focused and thus expresses that Mary performed no other actions towards Bill. Focus is a cross-linguistic phenomenon and a major topic in linguistics. Research on focus spans numerous subfields including phonetics, syntax, semantics (linguistics), semantics, pr ...
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Alternative Semantics
Alternative semantics (or Hamblin semantics) is a framework in formal semantics and logic. In alternative semantics, expressions denote ''alternative sets'', understood as sets of objects of the same semantic type. For instance, while the word "Lena" might denote Lena herself in a classical semantics, it would denote the singleton set containing Lena in alternative semantics. The framework was introduced by Charles Leonard Hamblin in 1973 as a way of extending Montague grammar to provide an analysis for questions. In this framework, a question denotes the set of its possible answers. Thus, if P and Q are propositions, then \ is the denotation of the question whether P or Q is true. Since the 1970s, it has been extended and adapted to analyze phenomena including focus, scope, disjunction In logic, disjunction (also known as logical disjunction, logical or, logical addition, or inclusive disjunction) is a logical connective typically notated as \lor and read aloud as "o ...
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Gricean
Herbert Paul Grice (13 March 1913 – 28 August 1988), usually publishing under the name H. P. Grice, H. Paul Grice, or Paul Grice, was a British philosopher of language who created the theory of implicature and the cooperative principle (with its namesake Gricean maxims), which became foundational concepts in the linguistic field of pragmatics. His work on meaning has also influenced the philosophical study of semantics. Life Born and raised in Harborne (now a suburb of Birmingham), in the United Kingdom, he was educated at Clifton College and then at Corpus Christi College, Oxford. After a brief period teaching at Rossall School, he went back to Oxford, firstly as a graduate student at Merton College from 1936 to 1938, and then as a Lecturer, Fellow and Tutor from 1938 at St John's College. During the Second World War Grice served in the Royal Navy; after the war he returned to his Fellowship at St John's, which he held until 1967. In that year, he moved to the United Sta ...
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Implicature
In pragmatics, a subdiscipline of linguistics, an implicature is something the speaker suggests or implies with an utterance, even though it is not literally expressed. Implicatures can aid in communicating more efficiently than by explicitly saying everything we want to communicate. The philosopher H. P. Grice coined the term in 1975. Grice distinguished ''conversational'' implicatures, which arise because speakers are expected to respect general rules of conversation, and ''conventional'' ones, which are tied to certain words such as "but" or "therefore". Take for example the following exchange: : A (to passerby): I am out of gas. : B: There is a gas station 'round the corner. Here, B does not say, but ''conversationally implicates'', that the gas station is open, because otherwise his utterance would not be relevant in the context. Conversational implicatures are classically seen as contrasting with entailments: they are not necessary or logical consequences of what is said, ...
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Entailment
Logical consequence (also entailment or logical implication) is a fundamental concept in logic which describes the relationship between statements that hold true when one statement logically ''follows from'' one or more statements. A valid logical argument is one in which the conclusion is entailed by the premises, because the conclusion is the consequence of the premises. The philosophical analysis of logical consequence involves the questions: In what sense does a conclusion follow from its premises? and What does it mean for a conclusion to be a consequence of premises?Beall, JC and Restall, Greg, Logical Consequence' The Stanford Encyclopedia of Philosophy (Fall 2009 Edition), Edward N. Zalta (ed.). All of philosophical logic is meant to provide accounts of the nature of logical consequence and the nature of logical truth. Logical consequence is necessary and formal, by way of examples that explain with formal proof and models of interpretation. A sentence is said to b ...
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Proposition
A proposition is a statement that can be either true or false. It is a central concept in the philosophy of language, semantics, logic, and related fields. Propositions are the object s denoted by declarative sentences; for example, "The sky is blue" expresses the proposition that the sky is blue. Unlike sentences, propositions are not linguistic expressions, so the English sentence "Snow is white" and the German "Schnee ist weiß" denote the same proposition. Propositions also serve as the objects of belief and other propositional attitudes, such as when someone believes that the sky is blue. Formally, propositions are often modeled as functions which map a possible world to a truth value. For instance, the proposition that the sky is blue can be modeled as a function which would return the truth value T if given the actual world as input, but would return F if given some alternate world where the sky is green. However, a number of alternative formalizations have be ...
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Polarity Items
Polarity may refer to: Science *Electrical polarity, direction of electrical current *Polarity (mutual inductance), the relationship between components such as transformer windings *Polarity (projective geometry), in mathematics, a duality of order two * Polarity in embryogenesis, the animal and vegetal poles within a blastula *Cell polarity, differences in the shape, structure, and function of cells *Chemical polarity, in chemistry, a separation of electric charge *Magnetic polarity, north or south poles of a magnet *Polar reciprocation, a concept in geometry also known as polarity * Trilinear polarity, a concept in geometry of the triangle *Polarity of a literal, in mathematical logic Humanities *Polarity (international relations), a description of the distribution of power within the international system *Polarity of gender, when a word takes the opposite grammatical gender than expected *Polarity item, in linguistics, the sensitiveness of some expression to negative or affirma ...
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