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Studies in Linguistics and Philosophy

Mathematical Methods in Linguistics

Authors: Partee, Barbara B.H., ter Meulen, A.G., Wall, R.

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  • ISBN 978-94-009-2213-6
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Hardcover $379.00
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  • ISBN 978-90-277-2244-7
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About this book

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.

Table of contents (22 chapters)

  • Basic Concepts of Set Theory

    Partee, Barbara H. (et al.)

    Pages 3-26

  • Relations and Functions

    Partee, Barbara H. (et al.)

    Pages 27-37

  • Properties of Relations

    Partee, Barbara H. (et al.)

    Pages 39-53

  • Infinities

    Partee, Barbara H. (et al.)

    Pages 55-73

  • Basic Concepts of Logic and Formal Systems

    Partee, Barbara H. (et al.)

    Pages 87-96

Buy this book

eBook $34.99
price for USA (gross)
  • ISBN 978-94-009-2213-6
  • Digitally watermarked, DRM-free
  • Included format: PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Hardcover $379.00
price for USA
  • ISBN 978-90-277-2244-7
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
Softcover $49.95
price for USA
  • ISBN 978-90-277-2245-4
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
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Bibliographic Information

Bibliographic Information
Book Title
Mathematical Methods in Linguistics
Authors
Series Title
Studies in Linguistics and Philosophy
Series Volume
30
Copyright
1993
Publisher
Springer Netherlands
Copyright Holder
Kluwer Academic Publishers
eBook ISBN
978-94-009-2213-6
DOI
10.1007/978-94-009-2213-6
Hardcover ISBN
978-90-277-2244-7
Softcover ISBN
978-90-277-2245-4
Series ISSN
0924-4662
Edition Number
1
Number of Pages
XXII, 666
Topics