Search results for: fundamentals-of-mathematics-for-linguistics

Fundamentals of Mathematics for Linguistics

Author : Barbara Hall Partee
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Mathematical Methods in Linguistics

Author : Barbara B.H. Partee
File Size : 41.17 MB
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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.

Theoretical Foundations

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Language mathematics and linguistics

Author : Charles F. Hockett
File Size : 21.67 MB
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Language

Author : George Melville Bolling
File Size : 75.32 MB
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Current Research and Development in Scientific Documentation

Author : National Science Foundation (U.S.). Office of Scientific Information
File Size : 58.26 MB
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Theoretical Linguistics

Author :
File Size : 71.79 MB
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Current Research and Development in Scientific Documentation

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File Size : 42.28 MB
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Conceptions of Set and the Foundations of Mathematics

Author : Luca Incurvati
File Size : 52.56 MB
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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.

BIBLIOGRAPHIE linguistique de l ann e 1982

Author : H. Borkent
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Department of the Interior and Related Agencies Appropriations for 1977

Author : United States. Congress. House. Committee on Appropriations. Subcommittee on Dept. of the Interior and Related Agencies
File Size : 87.60 MB
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Elements of Mathematical Linguistics

Author : Alexej V. Gladkij
File Size : 35.17 MB
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Evidence and Argumentation in Linguistics

Author : Thomas A. Perry
File Size : 67.68 MB
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A Bibliovect Guide to the Literature in English and Theoretical Syntax

Author : Lawrence R. Smith
File Size : 60.18 MB
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Foundations of Logic and Linguistics

Author : Georg Dorn
File Size : 63.56 MB
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This volume comprises a selection of papers that were contributed to the 7th International Congress of Logic, Methodology and Philosophy of Science, which was held in Salzburg from the 11th - 16th July, 1983. There were 14 sections in this congress: 1. proof theory and foundations of mathematics 2. model theory and its applica ti on 3. recursion theory and theory of computation 4. axiomatic set theory 5. philosophical logic 6. general methodology of science 7. foundations of probability and induction 8. foundations and philosophy of the physical sciences 9. foundati ons and phi 1 osophy of biology 10. foundations and philosophy of psychology foundations and philosophy 11. of the social sciences 12. foundati ons and philosophy of linguistics 13. history of logic, methodology and philosophy of science 14. fundamental principles of the ethics of science In each section, three or four invited addresses were given, which will be published in the Congress Proceedings (Ruth Barcan Marcus, Georg J. W. Dorn and Paul Weingartner, eds. : Logic, Metho dology and Philosophy of Science VII. Proceedings of the Seventh International Congress of Logic, Methodology and Philosophy of v PREFACE Science, Salzburg, 1983. - Amsterdam, New York, Oxford: North-Holland Publishing 'Company, 1985. ) Every section with the exception of section 14 also contained contributed papers.

Introduction of Elements of Mathematics to Linguistics

Author : Raĭmond Genrikhovich Piotrovskiĭ
File Size : 54.73 MB
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Language and Mathematics

Author : Marcel Danesi
File Size : 84.41 MB
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This book explores the many disciplinary and theoretical links between language, linguistics, and mathematics. It examines trends in linguistics, such as structuralism, conceptual metaphor theory, and other relevant theories,to show that language and mathematics have a similar structure, but differential functions, even though one without the other would not exist.

FUNDAMENTALS OF DISCRETE MATHEMATICAL STRUCTURES

Author : K. R. CHOWDHARY
File Size : 77.75 MB
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This updated text, now in its Third Edition, continues to provide the basic concepts of discrete mathematics and its applications at an appropriate level of rigour. The text teaches mathematical logic, discusses how to work with discrete structures, analyzes combinatorial approach to problem-solving and develops an ability to create and understand mathematical models and algorithms essentials for writing computer programs. Every concept introduced in the text is first explained from the point of view of mathematics, followed by its relation to Computer Science. In addition, it offers excellent coverage of graph theory, mathematical reasoning, foundational material on set theory, relations and their computer representation, supported by a number of worked-out examples and exercises to reinforce the students’ skill. Primarily intended for undergraduate students of Computer Science and Engineering, and Information Technology, this text will also be useful for undergraduate and postgraduate students of Computer Applications. New to this Edition Incorporates many new sections and subsections such as recurrence relations with constant coefficients, linear recurrence relations with and without constant coefficients, rules for counting and shorting, Peano axioms, graph connecting, graph scanning algorithm, lexicographic shorting, chains, antichains and order-isomorphism, complemented lattices, isomorphic order sets, cyclic groups, automorphism groups, Abelian groups, group homomorphism, subgroups, permutation groups, cosets, and quotient subgroups. Includes many new worked-out examples, definitions, theorems, exercises, and GATE level MCQs with answers.

Introduction to Elementary Mathematical Logic

Author : Abram Aronovich Stolyar
File Size : 87.26 MB
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This lucid, non-intimidating presentation by a Russian scholar explores propositional logic, propositional calculus, and predicate logic. Topics include computer science and systems analysis, linguistics, and problems in the foundations of mathematics. Accessible to high school students, it also constitutes a valuable review of fundamentals for professionals. 1970 edition.

Astrolinguistics

Author : Alexander Ollongren
File Size : 46.62 MB
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In linguistics, one of the main areas of modern research involves the capabilities and possibilities of there being a "lingua cosmica," a LINCOS, a universal language that could be used to communicate with non-human intelligences. This book touches on the area of the development and use of a "lingua universalis" for interstellar communication, but it also presents concepts that cover a broad area of linguistics. Chomsky's paradigm on universal properties of natural languages, for a long time a leading general theory of natural languages, includes the strong assumption that humans are born with some kind of universals stored in their brains. Are there universals of this kind of language used by intelligent beings and societies elsewhere in the universe? We do not know whether such languages exist. It seems to be impossible to determine, simply because the universe is too large for an exhaustive search. Even verification will be hard to obtain, without quite a bit of luck. This book uses astrolinguistic principles in message construction and is helpful in clarifying and giving perspective to discussions on existential questions such as these.