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Book Details

Cover of Mathematical Structures in Language

Mathematical Structures in Language

ISBN 9781575868479
Pages 250
Year 2016
Edition 1
Rs 2860.00 Rs 2288.00
Description
Mathematical Structures in Language introduces a number of mathematical concepts that are of interest to the working linguist. The areas covered include basic set theory and logic, formal languages and automata, trees, partial orders, lattices, Boolean structure, generalized quantifier theory, and linguistic invariants, the last drawing on Edward L. Keenan and Edward Stabler's Bare Grammar: A Study of Language Invariants, also published by CSLI Publications.Ideal for advanced undergraduate and graduate students of linguistics, this book contains numerous exercises and will be a valuable resource for courses on mathematical topics in linguistics. The product of many years of teaching, Mathematical Structures in Language is very much a book to be read and learned from.
About Author(s)
 Edward L. Keenan is professor of linguistics at the University of California, Los AngelesLawrence S. Moss is professor of mathematics at Indiana University, Bloomington.
Content
Preface

1 The Roots of Infinity

2 Some Mathematical Background

3 Boolean Phonology

4 Syntax I: Trees and Order Relations

5 Syntax II: Design for a Language

6 A Taste of Formal Language Theory

7 Finite State Automata

8 Semantics I: Compositionality and Sentential Logic

9 Semantics II: Coordination, Negation and Lattices

10 Semantics III: Logic and Variable Binding Operators

11 Semantics IV: DPs, Monotonicity and Semantic Generalizations

12 Semantics V: Classifying Quantifiers

13 Linguistic Invariants

List of Symbols

Bibliography

Author Index

Language Index

Subject Index

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