Issues In Mathematical Linguistics

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Issues in Mathematical Linguistics

Carlos Martín-Vide
Issues in Mathematical Linguistics Book PDF

Author : Carlos Martín-Vide
Publisher : John Benjamins Publishing
Page : 228 pages
File Size : 53,7 Mb
Release : 1999-11-15
Category : Language Arts & Disciplines
ISBN : 9789027284723

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Issues in Mathematical Linguistics by Carlos Martín-Vide Pdf

This brief collection of refereed papers approaches several technical as well as methodological aspects of the mathematical formalization of natural language, particularly in syntax and in semantics. Such kind of investigation is a prerequisite for the computational processing of language and is narrowly related to current developments in other disciplines, namely theoretical computer science and mathematical logic. The volume offers a coherent picture of recent research on the mathematics of language, and may be of interest to a wide audience, from linguists to mathematicians. Detailed indexes of authors and topics provide an easy access to the contents.

Mathematical Linguistics

Andras Kornai
Mathematical Linguistics Book PDF

Author : Andras Kornai
Publisher : Springer Science & Business Media
Page : 300 pages
File Size : 53,6 Mb
Release : 2007-11-10
Category : Mathematics
ISBN : 9781846289859

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Mathematical Linguistics by Andras Kornai Pdf

Mathematical Linguistics introduces the mathematical foundations of linguistics to computer scientists, engineers, and mathematicians interested in natural language processing. The book presents linguistics as a cumulative body of knowledge from the ground up: no prior knowledge of linguistics is assumed. As the first textbook of its kind, this book is useful for those in information science and in natural language technologies.

Issues in Mathematical Linguistics

Carlos Martín Vide
Issues in Mathematical Linguistics Book PDF

Author : Carlos Martín Vide
Publisher : John Benjamins Publishing
Page : 227 pages
File Size : 48,8 Mb
Release : 1999
Category : Language Arts & Disciplines
ISBN : 9789027215567

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Issues in Mathematical Linguistics by Carlos Martín Vide Pdf

This brief collection of refereed papers approaches several technical as well as methodological aspects of the mathematical formalization of natural language, particularly in syntax and in semantics. Such kind of investigation is a prerequisite for the computational processing of language and is narrowly related to current developments in other disciplines, namely theoretical computer science and mathematical logic. The volume offers a coherent picture of recent research on the mathematics of language, and may be of interest to a wide audience, from linguists to mathematicians. Detailed indexes of authors and topics provide an easy access to the contents.

Current Issues in Mathematical Linguistics

C. Martín-Vide
Current Issues in Mathematical Linguistics Book PDF

Author : C. Martín-Vide
Publisher : Elsevier
Page : 480 pages
File Size : 47,7 Mb
Release : 2014-06-28
Category : Mathematics
ISBN : 9781483294728

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Current Issues in Mathematical Linguistics by C. Martín-Vide Pdf

The present volume contains some selected topics of current interest around the world in the mathematical analysis of natural language. The book is divided into four sections: - analytical algebraic models - models from the theory of formal grammars and automata, with interest mainly in syntax - model-theoretic concepts in semantics or pragmatics, and - a final section containing some applications in computational linguistics. The varied perspectives illustrated in the book confirm that Mathematical Linguistics has finally introduced scientific methods into a previously fuzzy field, through the use of mathematical reasoning. The text will contribute to a fruitful convergence between linguists, mathematicians, logicians, computer scientists, cognitive scientists and others interested in the formal treatment of natural language and the research of its properties.

Mathematical Methods in Linguistics

Barbara B.H. Partee,A.G. ter Meulen,R. Wall
Mathematical Methods in Linguistics Book PDF

Author : Barbara B.H. Partee,A.G. ter Meulen,R. Wall
Publisher : Springer Science & Business Media
Page : 669 pages
File Size : 54,7 Mb
Release : 2012-12-06
Category : Language Arts & Disciplines
ISBN : 9789400922136

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Mathematical Methods in Linguistics by Barbara B.H. Partee,A.G. ter Meulen,R. Wall Pdf

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 Linguistics

Andras Kornai
Mathematical Linguistics Book PDF

Author : Andras Kornai
Publisher : Springer Science & Business Media
Page : 290 pages
File Size : 40,8 Mb
Release : 2007-12-16
Category : Mathematics
ISBN : 9781846289866

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Mathematical Linguistics by Andras Kornai Pdf

Mathematical Linguistics introduces the mathematical foundations of linguistics to computer scientists, engineers, and mathematicians interested in natural language processing. The book presents linguistics as a cumulative body of knowledge from the ground up: no prior knowledge of linguistics is assumed. As the first textbook of its kind, this book is useful for those in information science and in natural language technologies.

The Mathematics of Language

Marcus Kracht
The Mathematics of Language Book PDF

Author : Marcus Kracht
Publisher : Walter de Gruyter
Page : 616 pages
File Size : 51,7 Mb
Release : 2003
Category : Language Arts & Disciplines
ISBN : 3110176203

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The Mathematics of Language by Marcus Kracht Pdf

Table of contents

The Language of Mathematics

Mohan Ganesalingam
The Language of Mathematics Book PDF

Author : Mohan Ganesalingam
Publisher : Springer
Page : 273 pages
File Size : 44,7 Mb
Release : 2013-03-14
Category : Computers
ISBN : 9783642370120

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The Language of Mathematics by Mohan Ganesalingam Pdf

The Language of Mathematics was awarded the E.W. Beth Dissertation Prize for outstanding dissertations in the fields of logic, language, and information. It innovatively combines techniques from linguistics, philosophy of mathematics, and computation to give the first wide-ranging analysis of mathematical language. It focuses particularly on a method for determining the complete meaning of mathematical texts and on resolving technical deficiencies in all standard accounts of the foundations of mathematics. "The thesis does far more than is required for a PhD: it is more like a lifetime's work packed into three years, and is a truly exceptional achievement." Timothy Gowers

Mathematical and Computational Analysis of Natural Language

Carlos Martín-Vide
Mathematical and Computational Analysis of Natural Language Book PDF

Author : Carlos Martín-Vide
Publisher : John Benjamins Publishing
Page : 411 pages
File Size : 51,8 Mb
Release : 1998-10-15
Category : Language Arts & Disciplines
ISBN : 9789027282279

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Mathematical and Computational Analysis of Natural Language by Carlos Martín-Vide Pdf

In the last decade, computational linguistics has produced a revival of the interest in the mathematical study of the various levels of human language. This volume contains a selection of recent research papers approaching mathematical and computational topics in natural languages, with a special attention being paid to syntax and semantics. According with their main focus, the papers are distributed into four parts: Syntax, Semantics, Natural language processing and Varia, which cover a vast range of problems. The book may be of interest to all those who intend to know which kind of mathematics is used when giving account of natural language, as well as to people working on computational issues involving human-machine interaction.

Language and Communication in Mathematics Education

Judit N. Moschkovich,David Wagner,Arindam Bose,Jackeline Rodrigues Mendes,Marcus Schütte
Language and Communication in Mathematics Education Book PDF

Author : Judit N. Moschkovich,David Wagner,Arindam Bose,Jackeline Rodrigues Mendes,Marcus Schütte
Publisher : Springer
Page : 279 pages
File Size : 50,9 Mb
Release : 2018-03-27
Category : Education
ISBN : 9783319750552

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Language and Communication in Mathematics Education by Judit N. Moschkovich,David Wagner,Arindam Bose,Jackeline Rodrigues Mendes,Marcus Schütte Pdf

This book considers some of the outstanding questions regarding language and communication in the teaching and learning of mathematics – an established theme in mathematics education research, which is growing in prominence. Recent research has demonstrated the wide range of theoretical and methodological resources that can contribute to this area of study, including those drawing on cross-disciplinary perspectives influenced by, among others, sociology, psychology, linguistics, and semiotics. Examining language in its broadest sense to include all modes of communication, including visual and gestural as well as spoken and written modes, it features work presented and discussed in the Language and Communication topic study group (TSG 31) at the 13th International Congress on Mathematical Education (ICME-13). A joint session with participants of the Mathematics Education in a Multilingual and Multicultural Environment topic study group (TSG 32) enhanced discussions, which are incorporated in elaborations included in this book. Discussing cross-cutting topics it appeals to readers from a wide range of disciplines, such as mathematics education and research methods in education, multilingualism, applied linguistics and beyond.

The Language of Mathematics

Bill Barton
The Language of Mathematics Book PDF

Author : Bill Barton
Publisher : Springer Science & Business Media
Page : 186 pages
File Size : 41,9 Mb
Release : 2007-12-24
Category : Education
ISBN : 9780387728599

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The Language of Mathematics by Bill Barton Pdf

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.

Mathematics of Language

Alexis Manaster-Ramer
Mathematics of Language Book PDF

Author : Alexis Manaster-Ramer
Publisher : John Benjamins Publishing
Page : 413 pages
File Size : 48,8 Mb
Release : 1987-01-01
Category : Language Arts & Disciplines
ISBN : 9789027274427

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Mathematics of Language by Alexis Manaster-Ramer Pdf

By mathematics of language is meant the mathematical properties that may, under certain assumptions about modeling, be attributed to human languages and related symbolic systems, as well as the increasingly active and autonomous scholarly discipline that studies such things. More specifically, the use of techniques developed in a variety of pure and applied mathematics, including logic and the theory of computation, in the discovery and articulation of insights into the structure of language. Some of the contributions to this volume deal primarily with foundational issues, others with specific models and theoretical issues. A few are concerned with semantics, but most focus on syntax. The papers in this volume reveal applications of the several fields of the theory of computation (formal languages, automata, complexity), formal logic, topology, set theory, graph theory, and statistics. The book also shows a keen interest in developing mathematical models that are especially suited to natural languages.

Mathematical and Computational Analysis of Natural Language

Carlos Martín Vide
Mathematical and Computational Analysis of Natural Language Book PDF

Author : Carlos Martín Vide
Publisher : John Benjamins Publishing Company
Page : 391 pages
File Size : 43,7 Mb
Release : 1998
Category : Language Arts & Disciplines
ISBN : 1556198965

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Mathematical and Computational Analysis of Natural Language by Carlos Martín Vide Pdf

In the last decade, computational linguistics has produced a revival of the interest in the mathematical study of the various levels of human language. This volume contains a selection of recent research papers approaching mathematical and computational topics in natural languages, with a special attention being paid to syntax and semantics. According with their main focus, the papers are distributed into four parts: Syntax, Semantics, Natural language processing and Varia, which cover a vast range of problems. The book may be of interest to all those who intend to know which kind of mathematics is used when giving account of natural language, as well as to people working on computational issues involving human-machine interaction.

The Problem with Math Is English

Concepcion Molina
The Problem with Math Is English Book PDF

Author : Concepcion Molina
Publisher : John Wiley & Sons
Page : 304 pages
File Size : 55,6 Mb
Release : 2012-09-06
Category : Education
ISBN : 9781118237021

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The Problem with Math Is English by Concepcion Molina Pdf

Teaching K-12 math becomes an easier task when everyoneunderstands the language, symbolism, and representation of mathconcepts Published in partnership with SEDL, The Problem with Math IsEnglish illustrates how students often understand fundamentalmathematical concepts at a superficial level. Written to inspire?aha? moments, this book enables teachers to help students identifyand comprehend the nuances and true meaning of math concepts byexploring them through the lenses of language and symbolism,delving into such essential topics as multiplication, division,fractions, place value, proportional reasoning, graphs, slope,order of operations, and the distributive property. Offers a new way to approach teaching math content in a waythat will improve how all students, and especially English languagelearners, understand math Emphasizes major attributes of conceptual understanding inmathematics, including simple yet deep definitions of key terms,connections among key topics, and insightful interpretation This important new book fills a gap in math education byillustrating how a deeper knowledge of math concepts can bedeveloped in all students through a focus on language andsymbolism.

Language and Mathematics Education

Judit N. Moschkovich
Language and Mathematics Education Book PDF

Author : Judit N. Moschkovich
Publisher : Information Age Pub Incorporated
Page : 180 pages
File Size : 46,9 Mb
Release : 2010
Category : Education
ISBN : 1617351598

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Language and Mathematics Education by Judit N. Moschkovich Pdf

A volume in Research in Mathematics Education Series Editor Barbara J. Dougherty, Iowa State University Marketing description: Issues of language in mathematics learning and teaching are important for both practical and theoretical reasons. Addressing issues of language is crucial for improving mathematics learning and teaching for students who are bilingual, multilingual, or learning English. These issues are also relevant to theory: studies that make language visible provide a complex perspective of the role of language in reasoning and learning mathematics. What is the relevant knowledge base to consider when designing research studies that address issues of language in the learning and teaching of mathematics? What scholarly literature is relevant and can contribute to research? In order to address issues of language in mathematics education, researchers need to use theoretical perspectives that integrate current views of mathematics learning and teaching with current views on language, discourse, bilingualism, and second language acquisition. This volume contributes to the development of such integrated approaches to research on language issues in mathematics education by describing theoretical perspectives for framing the study of language issues and methodological issues to consider when designing research studies. The volume provides interdisciplinary reviews of the research literature from four very different perspectives: mathematics education (Moschkovich), Cultural-Historical-Activity Theory (Gutierrez, Sengupta-Irving, & Dieckmann), systemic functional linguistics (Schleppegrell), and assessment (Solano-Flores). This volume offers graduate students and researchers new to the study of language in mathematics education an introduction to resources for conceptualizing, framing, and designing research studies. For those already involved in examining language issues, the volume provides useful and critical reviews of the literature as well as recommendations for moving forward in designing research. Lastly, the volume provides a basis for dialogue across multiple research communities engaged in collaborative work to address these pressing issues.