Book Details
Mathematical Structures in Language
ISBN 9781575868479
Pages 250
Year 2016
Edition 1
Publisher CSLI PUBLICATIONS
Subject LITERATURE & LINGUISTICS
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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