LINGUIST List 15.1531

Thu May 13 2004

Books: Linguistic Theories: Kracht

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  1. julia.ulrich, The Mathematics of Language: Kracht

Message 1: The Mathematics of Language: Kracht

Date: Wed, 12 May 2004 05:41:13 -0400 (EDT)
From: julia.ulrich <>
Subject: The Mathematics of Language: Kracht


Title: The Mathematics of Language
Series Title: Studies in Generative Grammar 63 

Publication Year: 2003
Publisher:	Mouton de Gruyter 

Author: Marcus Kracht 

Hardback: ISBN: 3110176203, Pages: x, 570, Price: Europe EURO 98.00


This book studies language(s) and linguistic theories from a
mathematical point of view. Starting with ideas already contained in
Montague's work, it develops the mathematical foundations of present
day linguistics. It equips the reader with all the background
necessary to understand and evalu-ate theories as diverse as Montague
Grammar, Categorial Grammar, HPSG and GB. The mathematical tools are
mainly from universal algebra and logic, but no particular knowledge
is presupposed beyond a certain mathematical sophistication that is in
any case needed in order to fruitfully work within these theories.

The presentation focuses on abstract mathematical structures and their
compu-tational properties, but plenty of examples from different
natural languages are provided to illustrate the main concepts and
results. In contrast to books devoted to so-called formal language
theory, languages are seen here as semiotic systems, that is, as
systems of signs. A language sign correlates form with meaning. Using
the principle of compositionality it is possible to gain substantial
insight into the interaction between form and meaning in natural

Lingfield(s):	Linguistic Theories,
Written In:	English (Language Code: ENG) 

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