Author : Andras Kornai
Publisher : Springer Science & Business Media
Page : 300 pages
File Size : 11,40 MB
Release : 2007-11-10
Category : Mathematics
ISBN : 1846289858
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.
Author : Barbara B.H. Partee
Publisher : Springer Science & Business Media
Page : 669 pages
File Size : 42,60 MB
Release : 2012-12-06
Category : Language Arts & Disciplines
ISBN : 9400922132
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.
Author : Marcus Kracht
Publisher : Walter de Gruyter
Page : 616 pages
File Size : 42,26 MB
Release : 2003
Category : Language Arts & Disciplines
ISBN : 9783110176209
Table of contents
Author :
Publisher : American Mathematical Soc.
Page : 288 pages
File Size : 41,50 MB
Release : 1961
Category : Language and languages
ISBN : 0821813129
Author : Mohan Ganesalingam
Publisher : Springer
Page : 273 pages
File Size : 38,88 MB
Release : 2013-03-14
Category : Computers
ISBN : 3642370128
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
Author : Robert Eugene Wall
Publisher : Prentice Hall
Page : 360 pages
File Size : 38,51 MB
Release : 1972
Category : Language Arts & Disciplines
ISBN :
Author : Alexis Manaster-Ramer
Publisher : John Benjamins Publishing
Page : 412 pages
File Size : 26,65 MB
Release : 1987-01-01
Category : Language Arts & Disciplines
ISBN : 9027220492
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.
Author : Zellig Sabbettai Harris
Publisher :
Page : 456 pages
File Size : 10,95 MB
Release : 1991
Category : Computers
ISBN :
Written by one of the most respected figures in American linguistics, this book develops an approach to the analysis of language on a mathematical model. Harris presents a formal theory of language structure, in which syntax is characterized as an orderly system of departure from random combinings of sounds, words, and all the elements of language. He argues that the combining of words in a sentence constitutes a mathematical object, and that each departure from randomness is a contribution to the structure and meaning of a sentence. Discussing the differences in the structure and content of language, mathematics, and music, Harris shows that the use of language in a science constitutes a distinguishable sub-language. Remarkable and compelling, Harris's magnum opus will be considered the classical analysis of the structuring of information and development of language.
Author : Alekseĭ Vsevolodovich Gladkiĭ
Publisher : Janua Linguarum. Series Maior
Page : 280 pages
File Size : 44,57 MB
Release : 1983
Category : Language Arts & Disciplines
ISBN :
No detailed description available for "Elements of Mathematical Linguistics".
Author : Judit N. Moschkovich
Publisher : Springer
Page : 268 pages
File Size : 50,8 MB
Release : 2018-03-27
Category : Education
ISBN : 3319750550
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.
