Mathematical Structures of Languages PDF Download

Author: Zellig Sabbettai Harris
Publisher: John Wiley & Sons
ISBN:
Category : Language Arts & Disciplines
Languages : en
Pages : 246

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Author: Edward Louis Keenan
Publisher: Lecture Notes
ISBN: 9781575868479
Category : Logic, Symbolic and mathematical
Languages : en
Pages : 0

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Book Description
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.

Author: Marcus Kracht
Publisher: Walter de Gruyter
ISBN: 9783110176209
Category : Language Arts & Disciplines
Languages : en
Pages : 616

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Table of contents

Author: Edward Louis Keenan
Publisher: Center for the Study of Language and Information Publica Tion
ISBN: 9781575868721
Category : Logic, Symbolic and mathematical
Languages : en
Pages : 0

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Book Description
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.

Author: Judith L. Gersting
Publisher: Macmillan
ISBN: 9780716768647
Category : Mathematics
Languages : en
Pages : 830

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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.

Author: Yair Neuman
Publisher: Springer
ISBN: 3319682466
Category : Mathematics
Languages : en
Pages : 173

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Book Description
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.

Author: Bill Barton
Publisher: Springer Science & Business Media
ISBN: 0387728597
Category : Education
Languages : en
Pages : 186

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Book Description
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.

Author: Jules Janick
Publisher: Wiley
ISBN: 9780471353164
Category : Science
Languages : en
Pages : 0

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Book Description
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.

Author: Roman Jakobson
Publisher: American Mathematical Soc.
ISBN: 0821813129
Category : Language and languages
Languages : en
Pages : 288

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Author: Larry Gerstein
Publisher: Springer Science & Business Media
ISBN: 1468467085
Category : Science
Languages : en
Pages : 355

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Book Description
This is a textbook for a one-term course whose goal is to ease the transition from lower-division calculus courses to upper-division courses in linear and abstract algebra, real and complex analysis, number theory, topology, combinatorics, and so on. Without such a "bridge" course, most upper division instructors feel the need to start their courses with the rudiments of logic, set theory, equivalence relations, and other basic mathematical raw materials before getting on with the subject at hand. Students who are new to higher mathematics are often startled to discover that mathematics is a subject of ideas, and not just formulaic rituals, and that they are now expected to understand and create mathematical proofs. Mastery of an assortment of technical tricks may have carried the students through calculus, but it is no longer a guarantee of academic success. Students need experience in working with abstract ideas at a nontrivial level if they are to achieve the sophisticated blend of knowledge, disci pline, and creativity that we call "mathematical maturity. " I don't believe that "theorem-proving" can be taught any more than "question-answering" can be taught. Nevertheless, I have found that it is possible to guide stu dents gently into the process of mathematical proof in such a way that they become comfortable with the experience and begin asking them selves questions that will lead them in the right direction.