Arc Pair Grammar
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Arc Pair Grammar
In linguistics, arc pair grammar (APG) is a theory of syntax that aims to formalize and expand upon relational grammar. It primarily builds upon the relational grammar concept of an arc, but also makes use of more formally stated ideas from model theory and graph theory. It was developed in the late 1970s by David E. Johnson and Paul Postal, and formalized in 1980 in the eponymous book ''Arc Pair Grammar.'' History Early syntactic theory concerned itself primarily with grammatical relations. This trend was abandoned by proponents of transformational grammar, except in semantic interpretation. In the early 1970s, some linguists, such as Edward Keenan, began to challenge this notion from the transformationalist perspective, noting for instance the formation of relative clauses in Malagasy and English passivization (see chômeur). Relational grammar (RG) itself was never formalized in one place; instead, Keenan, Johnson, and others began writing aspects of the framework in a serie ...
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Linguistics
Linguistics is the scientific study of human language. It is called a scientific study because it entails a comprehensive, systematic, objective, and precise analysis of all aspects of language, particularly its nature and structure. Linguistics is concerned with both the cognitive and social aspects of language. It is considered a scientific field as well as an academic discipline; it has been classified as a social science, natural science, cognitive science,Thagard, PaulCognitive Science, The Stanford Encyclopedia of Philosophy (Fall 2008 Edition), Edward N. Zalta (ed.). or part of the humanities. Traditional areas of linguistic analysis correspond to phenomena found in human linguistic systems, such as syntax (rules governing the structure of sentences); semantics (meaning); morphology (structure of words); phonetics (speech sounds and equivalent gestures in sign languages); phonology (the abstract sound system of a particular language); and pragmatics (how social con ...
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Syntax
In linguistics, syntax () is the study of how words and morphemes combine to form larger units such as phrases and sentences. Central concerns of syntax include word order, grammatical relations, hierarchical sentence structure ( constituency), agreement, the nature of crosslinguistic variation, and the relationship between form and meaning (semantics). There are numerous approaches to syntax that differ in their central assumptions and goals. Etymology The word ''syntax'' comes from Ancient Greek roots: "coordination", which consists of ''syn'', "together", and ''táxis'', "ordering". Topics The field of syntax contains a number of various topics that a syntactic theory is often designed to handle. The relation between the topics is treated differently in different theories, and some of them may not be considered to be distinct but instead to be derived from one another (i.e. word order can be seen as the result of movement rules derived from grammatical relations). Se ...
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Relational Grammar
In linguistics, relational grammar (RG) is a syntactic theory which argues that primitive grammatical relations provide the ideal means to state syntactic rules in universal terms. Relational grammar began as an alternative to transformational grammar. Grammatical relations hierarchy In relational grammar, constituents that serve as the arguments to predicates are numbered in what is called the grammatical relations (GR) hierarchy. This numbering system corresponds loosely to the notions of subject, direct object and indirect object. The numbering scheme is subject → (1), direct object → (2) and indirect object → (3). Other constituents (such as oblique, genitive, and object of comparative) are called ''nonterms'' (N). The predicate is marked (P). According to Geoffrey K. Pullum (1977), the GR hierarchy directly corresponds to the accessibility hierarchy: A schematic representation of a clause in this formalism might look like: Other features * Strata * Chomage (s ...
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Model Theory
In mathematical logic, model theory is the study of the relationship between formal theories (a collection of sentences in a formal language expressing statements about a mathematical structure), and their models (those structures in which the statements of the theory hold). The aspects investigated include the number and size of models of a theory, the relationship of different models to each other, and their interaction with the formal language itself. In particular, model theorists also investigate the sets that can be defined in a model of a theory, and the relationship of such definable sets to each other. As a separate discipline, model theory goes back to Alfred Tarski, who first used the term "Theory of Models" in publication in 1954. Since the 1970s, the subject has been shaped decisively by Saharon Shelah's stability theory. Compared to other areas of mathematical logic such as proof theory, model theory is often less concerned with formal rigour and closer in spirit ...
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Graph Theory
In mathematics, graph theory is the study of ''graphs'', which are mathematical structures used to model pairwise relations between objects. A graph in this context is made up of '' vertices'' (also called ''nodes'' or ''points'') which are connected by '' edges'' (also called ''links'' or ''lines''). A distinction is made between undirected graphs, where edges link two vertices symmetrically, and directed graphs, where edges link two vertices asymmetrically. Graphs are one of the principal objects of study in discrete mathematics. Definitions Definitions in graph theory vary. The following are some of the more basic ways of defining graphs and related mathematical structures. Graph In one restricted but very common sense of the term, a graph is an ordered pair G=(V,E) comprising: * V, a set of vertices (also called nodes or points); * E \subseteq \, a set of edges (also called links or lines), which are unordered pairs of vertices (that is, an edge is associated with t ...
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David E
David (; , "beloved one") (traditional spelling), , ''Dāwūd''; grc-koi, Δαυΐδ, Dauíd; la, Davidus, David; gez , ዳዊት, ''Dawit''; xcl, Դաւիթ, ''Dawitʿ''; cu, Давíдъ, ''Davidŭ''; possibly meaning "beloved one". was, according to the Hebrew Bible, the Kings of Israel and Judah, third king of the Kingdom of Israel (united monarchy), United Kingdom of Israel. In the Books of Samuel, he is described as a young shepherd and Lyre, harpist who gains fame by slaying Goliath, a champion of the Philistines, in southern Canaan. David becomes a favourite of Saul, the first king of Israel; he also forges David and Jonathan, a notably close friendship with Jonathan (1 Samuel), Jonathan, a son of Saul. However, under the paranoia that David is seeking to usurp the throne, Saul attempts to kill David, forcing the latter to go into hiding and effectively operate as a fugitive for several years. After Saul and Jonathan are both killed in battle against the Philistin ...
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Paul Postal
Paul Martin Postal (born November 10, 1936 in Weehawken, New Jersey) is an American linguist. Biography Postal received his PhD from Yale University in 1963 and taught at MIT until 1965. That year, he moved to the City University of New York. In 1967 he was appointed to a research position at IBM and he remained on their research staff until 1994. An important figure in the early development of generative grammar, he became a proponent of the generative semantics movement along with George Lakoff, James D. McCawley, and Haj Ross. In the 1970s, with David M. Perlmutter, he developed Relational Grammar. Later, with David E. Johnson, he developed Arc Pair Grammar. These non-transformational theories of grammar have had an indirect but major impact on modern syntactic analysis. Since his involvement with generative semantics, he has been a vocal critic of Noam Chomsky Avram Noam Chomsky (born December 7, 1928) is an American public intellectual: a linguist, philosopher, ...
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Transformational Grammar
In linguistics, transformational grammar (TG) or transformational-generative grammar (TGG) is part of the theory of generative grammar, especially of natural languages. It considers grammar to be a system of rules that generate exactly those combinations of words that form grammatical sentences in a given language and involves the use of defined operations (called transformations) to produce new sentences from existing ones. The method is commonly associated with American linguist Noam Chomsky. Generative algebra was first introduced to general linguistics by the structural linguist Louis Hjelmslev although the method was described before him by Albert Sechehaye in 1908. Chomsky adopted the concept of transformations from his teacher Zellig Harris, who followed the American descriptivist separation of semantics from syntax. Hjelmslev's structuralist conception including semantics and pragmatics is incorporated into functional grammar. Historical context Transformational analysi ...
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Malagasy Language
Malagasy (; ) is an Austronesian language and the national language of Madagascar. Malagasy is the westernmost Malayo-Polynesian language, brought to Madagascar by the settlement of Austronesian peoples from the Sunda islands around the 5th century AD. The Malagasy language is one of the Barito languages and is most closely related to the Ma'anyan language, still spoken on Borneo to this day. Malagasy also includes numerous Malay loanwords, from the time of the early Austronesian settlement and trading between Madagascar and the Sunda Islands. After c. 1000 AD, Malagasy incorporated numerous Bantu and Arabic loanwords, brought over by traders and new settlers. Malagasy is spoken by around 25 million people in Madagascar and the Comoros. Most people in Madagascar speak it as a first language, as do some people of Malagasy descent elsewhere. Malagasy is divided between two main dialect groups; Eastern and Western. The central plateau of the island, where the capital Antananarivo ...
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Chômeur
The chômeur, in the context of grammar, is an element of a sentence that has been syntactically "demoted" from the nucleus to the periphery of a clause. The term comes from the French word for "unemployed". In a passive sentence, the agent is a chômeur, having been "demoted" from the central or nuclear function of subject. For instance, by changing the sentence ''Dogs attack the postman'' into ''The postman is attacked by dogs'', one transforms "dogs" into a chômeur. The concept was introduced and used extensively in relational grammar. The term was suggested by the linguist Colette Craig. See also * Arc pair grammar In linguistics, arc pair grammar (APG) is a theory of syntax that aims to formalize and expand upon relational grammar. It primarily builds upon the relational grammar concept of an arc, but also makes use of more formally stated ideas from model ... Sources * Perlmutter, David M. (Ed.). (1983). ''Studies in relational grammar 1''. Chicago: Chicago Universit ...
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Logical Axiom
An axiom, postulate, or assumption is a statement that is taken to be true, to serve as a premise or starting point for further reasoning and arguments. The word comes from the Ancient Greek word (), meaning 'that which is thought worthy or fit' or 'that which commends itself as evident'. The term has subtle differences in definition when used in the context of different fields of study. As defined in classic philosophy, an axiom is a statement that is so evident or well-established, that it is accepted without controversy or question. As used in modern logic, an axiom is a premise or starting point for reasoning. As used in mathematics, the term ''axiom'' is used in two related but distinguishable senses: "logical axioms" and "non-logical axioms". Logical axioms are usually statements that are taken to be true within the system of logic they define and are often shown in symbolic form (e.g., (''A'' and ''B'') implies ''A''), while non-logical axioms (e.g., ) are actually ...
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Complement (linguistics)
In grammar, a complement is a word, phrase, or clause that is necessary to complete the meaning of a given expression. Complements are often also arguments (expressions that help complete the meaning of a predicate). Predicative, subject and object complements In many non-theoretical grammars, the terms '' subject complement'' and '' object complement'' are employed to denote the predicative expressions (such as predicative adjectives and nominals) that serve to assign a property to a subject or an object: ::Ryan is upset. – Predicative adjective as subject complement ::Rachelle is the boss. – Predicative nominal as subject complement ::That made Michael lazy. – Predicative adjective as object complement ::We call Rachelle the boss. – Predicative nominal as object complement This terminology is used in grammar books: However, this use of terminology is avoided by many modern theories of syntax, which typically view the expressions in bold as part of the clause pre ...
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