Item description for Mathematical Methods in Linguistics (Studies in Linguistics and Philosophy) by Barbara H. Partee, Robert E. Wall & Alice Ter Meulen...
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.
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Est. Packaging Dimensions: Length: 1.75" Width: 6.25" Height: 9" Weight: 2.1 lbs.
Release Date Apr 30, 1990
ISBN 9027722455 ISBN13 9789027722454
Availability 0 units.
More About Barbara H. Partee, Robert E. Wall & Alice Ter Meulen
Reviews - What do customers think about Mathematical Methods in Linguistics (Studies in Linguistics and Philosophy)?
Comprehensive Mar 22, 2007
This book is well written and detailed. I found it particularly useful for my semantics course. It covers the necessary logic one need to do semantics. It also discuses type theory and the lambda calculus. This book is a great complement to any semantics text.
Not Just for Linguists Oct 22, 2001
Mathematical Methods in Linquistics is far more about mathematical methods than about linguistics, although in many places linquistics is used as a source of examples.
Instead it covers such mathematical topics as sets (including infinite sets), relations, a good deal of mathematical logic, automata (up to turing machines), the lambda calculus, lattices and more.
This would be an excellent book for an advanced undergraduate or graduate student in either mathematics or computer science to use either as a review text, or as a study guide for further investigation.