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Mathematical Structures of Languages

Mathematical Structures of Languages
Author: Zellig Sabbettai Harris
Publisher: John Wiley & Sons
Total Pages: 246
Release: 1968-01-15
Genre: Language Arts & Disciplines
ISBN:

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Mathematical Structures in Language

Mathematical Structures in Language
Author: Edward Louis Keenan
Publisher: Lecture Notes
Total Pages: 0
Release: 2016
Genre: Logic, Symbolic and mathematical
ISBN: 9781575868479

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Mathematical Structures in Languages 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, Mathematic Structures in Languages is very much a book to be read and learned from.


The Mathematics of Language

The Mathematics of Language
Author: Marcus Kracht
Publisher: Walter de Gruyter
Total Pages: 616
Release: 2003
Genre: Language Arts & Disciplines
ISBN: 9783110176209

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Table of contents


Mathematical Structures in Language

Mathematical Structures in Language
Author: Edward Louis Keenan
Publisher: Center for the Study of Language and Information Publica Tion
Total Pages: 0
Release: 2016
Genre: Logic, Symbolic and mathematical
ISBN: 9781575868721

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Mathematical Structures in Languages 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, Mathematic Structures in Languages is very much a book to be read and learned from.


Mathematical Structures for Computer Science

Mathematical Structures for Computer Science
Author: Judith L. Gersting
Publisher: Macmillan
Total Pages: 830
Release: 2007
Genre: Mathematics
ISBN: 9780716768647

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This edition offers a pedagogically rich and intuitive introduction to discrete mathematics structures. It meets the needs of computer science majors by being both comprehensive and accessible.


The Language of Mathematics

The Language of Mathematics
Author: Bill Barton
Publisher: Springer Science & Business Media
Total Pages: 186
Release: 2007-12-24
Genre: Education
ISBN: 0387728597

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The book emerges from several contemporary concerns in mathematics, language, and mathematics education. However, the book takes a different stance with respect to language by combining discussion of linguistics and mathematics using examples from each to illustrate the other. The picture that emerges is of a subject that is much more contingent, much more relative, much more subject to human experience than is usually accepted. Another way of expressing this, is that the thesis of the book takes the idea of mathematics as a human creation, and, using the evidence from language, comes to more radical conclusions than most writers allow.


Plant Breeding Reviews, Volume 24, Part 1

Plant Breeding Reviews, Volume 24, Part 1
Author: Jules Janick
Publisher: Wiley
Total Pages: 0
Release: 2003-12-29
Genre: Science
ISBN: 9780471353164

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Plant Breeding Reviews, Volume 24, Part 1 presents state-of-the-art reviews on plant genetics and the breeding of all types of crops by both traditional means and molecular methods. The emphasis of the series is on methodology, a practical understanding of crop genetics, and applications to major crops.


Mathematical Methods in Linguistics

Mathematical Methods in Linguistics
Author: Barbara B.H. Partee
Publisher: Springer Science & Business Media
Total Pages: 669
Release: 2012-12-06
Genre: Language Arts & Disciplines
ISBN: 9400922132

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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.


Mathematical Structures of Natural Intelligence

Mathematical Structures of Natural Intelligence
Author: Yair Neuman
Publisher: Springer
Total Pages: 173
Release: 2017-12-01
Genre: Mathematics
ISBN: 3319682466

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This book uncovers mathematical structures underlying natural intelligence and applies category theory as a modeling language for understanding human cognition, giving readers new insights into the nature of human thought. In this context, the book explores various topics and questions, such as the human representation of the number system, why our counting ability is different from that which is evident among non-human organisms, and why the idea of zero is so difficult to grasp. The book is organized into three parts: the first introduces the general reason for studying general structures underlying the human mind; the second part introduces category theory as a modeling language and use it for exposing the deep and fascinating structures underlying human cognition; and the third applies the general principles and ideas of the first two parts to reaching a better understanding of challenging aspects of the human mind such as our understanding of the number system, the metaphorical nature of our thinking and the logic of our unconscious dynamics.