Fundamentals Of Mathematics For Linguistics Pdf
Author: Barbara Hall Partee
Publisher:
ISBN: UOM:39015003730010
Category: Linguistics
Page: 242
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Preface This book grew out of two previous introductory texts : Fundamentals of Mathematics for Linguists by Barbara Hall Partee and Introduction to Mathematical Linguistics by Robert Wall , both of which had gone out of print in the ...
Author: Barbara B.H. Partee
Publisher: Springer Science & Business Media
ISBN: 9027722455
Category: Language Arts & Disciplines
Page: 666
View: 629
Elementary set theory accustoms the students to mathematical abstraction, includes the standard constructions of relations, functions, and orderings, and leads to a discussion of the various orders of infinity. The material on logic covers not only the standard statement logic and first-order predicate logic but includes an introduction to formal systems, axiomatization, and model theory. The section on algebra is presented with an emphasis on lattices as well as Boolean and Heyting algebras. Background for recent research in natural language semantics includes sections on lambda-abstraction and generalized quantifiers. Chapters on automata theory and formal languages contain a discussion of languages between context-free and context-sensitive and form the background for much current work in syntactic theory and computational linguistics. The many exercises not only reinforce basic skills but offer an entry to linguistic applications of mathematical concepts. For upper-level undergraduate students and graduate students in theoretical linguistics, computer-science students with interests in computational linguistics, logic programming and artificial intelligence, mathematicians and logicians with interests in linguistics and the semantics of natural language.
LANGUAGE, MATHEMATICS, AND LINGUISTICS CHARLES F. HOCKETT 0. INTRODUCTION This essay has two aims." The first, a subsidiary one sought mainly in § 1, is to introduce some of my fellow linguists to mathematics. Of course, some linguists ...
Author:
Publisher: Walter de Gruyter GmbH & Co KG
ISBN: 9783110814644
Category: Language Arts & Disciplines
Page: 548
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Gross, M. 1972 Mathematical Models in Linguistics (Englewood Cliffs, N.J. : Prentice-Hall). Hall-Partee, Barbara. 1978 Fundamentals of Mathematics for Linguistics (Dordrecht, London: D. Reidel) Harris, Z. S. 1957 'Co-occurrence and ...
Author: Alexej V. Gladkij
Publisher: Walter de Gruyter GmbH & Co KG
ISBN: 9783110810806
Category: Language Arts & Disciplines
Page: 268
View: 755
English translation: Automatisation of translation from one language to another. JPRS/DC-379, novembre 1958. [Archives HTAL]. Partee Hall, B. 1978. Fundamentals of mathematics for linguistics. Dordrecht: D.Reidel Publishing Company.
Author: Jacqueline Léon
Publisher: Springer Nature
ISBN: 9783030706425
Category: Computers
Page: 179
View: 910
Automating Linguistics offers an in-depth study of the history of the mathematisation and automation of the sciences of language. In the wake of the first mathematisation of the 1930s, two waves followed: machine translation in the 1950s and the development of computational linguistics and natural language processing in the 1960s. These waves were pivotal given the work of large computerised corpora in the 1990s and the unprecedented technological development of computers and software.Early machine translation was devised as a war technology originating in the sciences of war, amidst the amalgamate of mathematics, physics, logics, neurosciences, acoustics, and emerging sciences such as cybernetics and information theory. Machine translation was intended to provide mass translations for strategic purposes during the Cold War. Linguistics, in turn, did not belong to the sciences of war, and played a minor role in the pioneering projects of machine translation.Comparing the two trends, the present book reveals how the sciences of language gradually integrated the technologies of computing and software, resulting in the second-wave mathematisation of the study of language, which may be called mathematisation-automation. The integration took on various shapes contingent upon cultural and linguistic traditions (USA, ex-USSR, Great Britain and France). By contrast, working with large corpora in the 1990s, though enabled by unprecedented development of computing and software, was primarily a continuation of traditional approaches in the sciences of language sciences, such as the study of spoken and written texts, lexicography, and statistical studies of vocabulary.
'The Organization of Language: A Stratificational View.' Georgetown University Monograph Series on Languages and Linguistics 17.75-95. Glicksman, A. M., and H. D. Ruderman. 1964. Fundamentals for Advanced Mathematics. New York.
Author: Charles F. Hockett
Publisher: Walter de Gruyter GmbH & Co KG
ISBN: 9783111353500
Category: Language Arts & Disciplines
Page: 243
View: 278
Oxford , 1955 Hall Partee 1964 : 888 Barbara Hall , review of Šaumjan & Soboleva 1963 : Language , 40 , 3 , 1964 , pp . 397-410 Hall Partee 1978 : 153 Barbara Hall Partee , Fundamentals of Mathematics for Linguistics .
Author: Willem Andries Helden
Publisher: Rodopi
ISBN: 9051835140
Category: Language Arts & Disciplines
Page: 1280
View: 887
The cybernetic dream which pervades Soviet bureaucracy after Stalin produced a relatively liberal and generous science policy. In linguistics, the new spirit gave rise to a variety of trends professing to practise structural, mathematical or applied linguistics, and promising practical applications in natural language processing. The trends originating in the sixties comprise the so-called Set-theoretical School. In 1957 the mathematician Kolmogorov confronted the participants of a seminar on mathematical linguistics with a few pilot questions, such as what exactly do we mean when we say that two words are in the same case? The rigorous answers which the Set-theoretical School worked out for Kolmogorov's questions turned out to have far-reaching implications for linguistic theory.Case and Gender examines both the contextual and the internal development of the Set-theoretical School. The rise and decline of the School can be ascribed to Soviet humanities policy, while the specifics of its linguistic development can be attributed to the non-linguistic backgrounds and applied goals of its first exponents. The two volumes contain a systematic account of the networks of definitions (models) proposed by the School, and provide a metamodel which facilitates providing a consistent formalization of the models and uncovering their implicit assumptions on the properties of language. The metamodel also enables an orderly comparison of the models with one another and with terminological systems developed elsewhere. Moreover, the models are evaluated, amended, and confronted with linguistic material from various languages. The later chapters are concluded with more far-reaching proposals. Kolmogorov's questions must be taken seriously. The turn toward a semantics-orientated approach which is evident in the last stage of the development of the Set-theoretical School must be pursued. New definitions of 'case' and 'gender' are proposed in accordance with the new approach.Case and Gender contains not only an analytical survey of the complete scientific output of the Set-theoretical School on morphology and syntax but also a confrontation with contemporary western theories. It shows the viability of a tradition which was abandoned as a result of political developments. The long chapter on the history of the relationship between linguistics and politics in the Soviet Union contains new material on the 1950 linguistic discussion inPravda, which was decided by Stalin's contribution and whose impact would last for decades to come.
A Survey of Linguistic Science, Linguistics Program, University of Maryland, pp. 650–681. : 1975, 'Montague grammar and transformational grammar', Linguistic Inquiry 6, 203-300. : 1978, Fundamentals of Mathematics for Linguistics, ...
Author: R. Cooper
Publisher: Springer Science & Business Media
ISBN: 9789401569323
Category: Language Arts & Disciplines
Page: 220
View: 988
The format of this book is unusual, especially for a book about linguistics. The book is meant primarily as a research monograph aimed at linguists who have some background in formal semantics, e. g. Montague Grammar. However, I have two other audiences in mind. Linguists who have little or no experience of formal semantics, but who have worked through a basic mathematics for linguists course (e. g. using Wall, 1972, or Partee, 1978), should, perhaps with the help of a sympathetic Montague gramma rian, be able to discover enough of how I have adapted some of the basic ideas in formal semantics to make the developments that I undertake in the rest of the book accessible. Logicians and computer scientists who know about model theoretic semantics and formal systems should be able to glean enough from Chapters I and II about linguistic concerns and techniques to be able to read the remainder of the book, again possibly with the help of a sympathetic Montague grammarian. However, readers should beware. Chapter II is not meant as a general introduction either to formal semantics or to linguistics and while much of the presentation there is going over ground that is already well covered in the literature, the particular formulation and the emphases are very much oriented to the developments to be undertaken later in the book.
The vast domain of meaning includes the semantic—pragmatic patterning of the system of language and also issues of ... The latter theory, which represents a new view of the fundamentals of mathematics, is applied here in close ...
Author: Vilém Novák
Publisher: Springer Science & Business Media
ISBN: 9781489923172
Category: Language Arts & Disciplines
Page: 204
View: 802
In opposition to the classical set theory of natural language, Novák's highly original monograph offers a theory based on alternative and fuzzy sets. This new approach is firmly grounded in semantics and pragmatics, and accounts for the vagueness inherent in natural language-filling a large gap in our current knowledge. The theory will foster fruitful debate among researchers in linguistics and artificial intellegence.
1940 Anthropologist, Linguist Education: B.A., mathematics, Swarthmore College, 1961; Ph.D., linguistics, Massachusetts Institute of Technology, ... She 740 Patch, Edith Marion published Fundamentals of Mathematics for Linguistics.
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Publisher: ABC-CLIO
ISBN: 9781598841589
Category: Women in science
Page: 610
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Papers from the Fifth Regional Meeting, Chicago Linguistic Society. Chicago: University of Chicago, ... Norman: Summer Institute of Linguistics of the University of Oklahoma. ... Fundamentals of Mathematics for Linguistics.
Author: Paul Martin Postal
Publisher: MIT Press
ISBN: 9780262014816
Category: Language Arts & Disciplines
Page: 465
View: 831
An argument that there are three kinds of English grammatical objects, each with different syntactic properties.
... 1979a: Fundamentals of Mathematics for Linguists. Stamford, CT: Greylock. Reprinted by D. Reidel, Dordrecht. Partee, Barbara H., 1979b: Constraining Montague grammar: a framework and a fragment. In Linguistics, Philosophy ...
Author: Barbara H. Partee
Publisher: John Wiley & Sons
ISBN: 9780470751299
Category: Language Arts & Disciplines
Page: 344
View: 783
Compositionality in Formal Semantics is a collection of Barbara Partee's papers that have been influential in the field but are not readily available and includes a new introductory essay in which Partee reflects on how her thinking and the field of semantics have developed over the past 35 years. Brings together, in one volume, influential but difficult to find papers by one of the most important researchers in formal semantics. Includes a new introductory essay in which Partee reflects on how her research and the field of semantics have developed over the past 35 years. Discusses critical themes in semantic theory.
Professor of mathematical physics, KTH, 1964, member of Royal Swedish Academy of Sciences 1978. ... Her other books are Montague Grammar (edited, 1976, Academic Press), Fundamentals of Mathematics for Linguists (Greylock, 1979), ...
Author: Allén Sture
Publisher: Walter de Gruyter
ISBN: 9783110866858
Category: Literary Criticism
Page: 463
View: 214
Author: Texas. Statewide Project for the Deaf
Publisher:
ISBN: OCLC:12014118
Category: Deaf
Page:
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Chierchia, G. and Turner, R. 1988, Semantics and property theory, Linguistics and Philosophy 11, 261–302. Church, A. 1974, Set theory with a universal set, in L. Henkin (ed.), Proceedings of the Tarski Symposium, Vol.
Author: Luca Incurvati
Publisher: Cambridge University Press
ISBN: 9781108758352
Category: Science
Page:
View: 341
Sets are central to mathematics and its foundations, but what are they? In this book Luca Incurvati provides a detailed examination of all the major conceptions of set and discusses their virtues and shortcomings, as well as introducing the fundamentals of the alternative set theories with which these conceptions are associated. He shows that the conceptual landscape includes not only the naïve and iterative conceptions but also the limitation of size conception, the definite conception, the stratified conception and the graph conception. In addition, he presents a novel, minimalist account of the iterative conception which does not require the existence of a relation of metaphysical dependence between a set and its members. His book will be of interest to researchers and advanced students in logic and the philosophy of mathematics.
Čsinf 24 , 1982 , 254-256 Seminar " Application of linguistic approaches in informatics " ( Prague , June 10-11 , 1982 ) . 3227 Künstliche Intelligenz und ... 3231 PARTEE , Barbara Hall : Fundamentals of mathematics for linguists .
Author: H. Borkent
Publisher: Springer Science & Business Media
ISBN: 9024731429
Category: Language Arts & Disciplines
Page: 892
View: 778
Introduction to the Mathematics of Linguistics . I and II . ( 3 ) . Theoretical foundations of mathematics , set theory , logic machines , recursive functions , formal grammars . Emphasis on developing mathematical sophistica - tion ...
Author: University of Michigan
Publisher:
ISBN: UOM:39015071518800
Category: Detroit (Mich.)
Page:
View: 553
Announcements for the following year included in some vols.
Introduction to the Study of Language . Workshop in Fundamentals of Math . Introduction to Literature : American Linguistic Studies in Navajo and Indian . English . Introduction to Literature : Southwest Intermediate Workshop - I in ...
Author: United States. Congress. House. Committee on Appropriations. Subcommittee on Dept. of the Interior and Related Agencies
Publisher:
ISBN: LOC:00185829091
Category: United States
Page:
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I conclude (i) that the standard defense of the empirical scientific status of transformational generative linguistics does not provide a basis for distinguishing TGGs from axiomatic theories in logic, the foundations of mathematics, ...
Author: Thomas A. Perry
Publisher: Walter de Gruyter GmbH & Co KG
ISBN: 9783110848854
Category: Language Arts & Disciplines
Page: 382
View: 873
17. set theory, which represents an abstract view of the fundamentals of mathematics, based on the concepts of horizon and class (with indistinct borderlines). This theory has been applied in a comprehensive account of natural language ...
Author: Philip Luelsdorff
Publisher: John Benjamins Publishing
ISBN: 9789027215505
Category: Language Arts & Disciplines
Page: 385
View: 854
The importance of the Prague School for the rise of structuralism and for integration of the theoretical linguistics of today can hardly be overestimated. The volume brings together 13 papers showing the main results of the research of the Prague School and of its continuation in the domains of phonemics and written language, morphemics and word formation, lexicon, syntax and semantics, text structures, stylistics and typology. The authors all actively contributed to the domain they are treating here.
Fundamentals Of Mathematics For Linguistics Pdf
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