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Logic and Lexicon

Author : Manfred Pinkal
Publisher : Springer Science & Business Media
Page : 392 pages
File Size : 35,20 MB
Release : 2013-04-17
Category : Language Arts & Disciplines
ISBN : 9401584451

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Semantic underspecification is an essential and pervasive property of natural language. This monograph provides a comprehensive survey of the various phenomena in the field of ambiguity and vagueness. The book discusses the major theories of semantic indefiniteness, which have been proposed in linguistics, philosophy and computer science. It argues for a view of indefiniteness as the potential for further contextual specification, and proposes a unified logical treatment of indefiniteness on this basis. The inherent inconsistency of natural language induced by irreducible imprecision is investigated, and treated in terms of a dynamic extension of the proposed logic. The book is an extended edition of a German monograph and is addressed to advanced students and researchers in theoretical and computational linguistics, logic, philosophy of language, and NL- oriented AI. Although it makes extensive use of logical formalisms, it requires only some basic familiarity with standard predicate logic concepts since all technical terms are carefully explained.

Logic and Lexicon

Author : Manfred Pinkal
Publisher :
Page : 400 pages
File Size : 31,79 MB
Release : 2014-01-15
Category :
ISBN : 9789401584463

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Dictionary of Logic as Applied in the Study of Language

Author : W. Marciszewski
Publisher : Springer Science & Business Media
Page : 450 pages
File Size : 30,63 MB
Release : 2013-06-29
Category : Philosophy
ISBN : 9401712530

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1. STRUCTURE AND REFERENCES 1.1. The main part of the dictionary consists of alphabetically arranged articles concerned with basic logical theories and some other selected topics. Within each article a set of concepts is defined in their mutual relations. This way of defining concepts in the context of a theory provides better understand ing of ideas than that provided by isolated short defmitions. A disadvantage of this method is that it takes more time to look something up inside an extensive article. To reduce this disadvantage the following measures have been adopted. Each article is divided into numbered sections, the numbers, in boldface type, being addresses to which we refer. Those sections of larger articles which are divided at the first level, i.e. numbered with single numerals, have titles. Main sections are further subdivided, the subsections being numbered by numerals added to the main section number, e.g. I, 1.1, 1.2, ... , 1.1.1, 1.1.2, and so on. A comprehensive subject index is supplied together with a glossary. The aim of the latter is to provide, if possible, short defmitions which sometimes may prove sufficient. As to the use of the glossary, see the comment preceding it.

A Dictionary of Logic

Author : Thomas Macaulay Ferguson
Publisher : Oxford University Press
Page : 154 pages
File Size : 14,12 MB
Release : 2016-06-16
Category : Philosophy
ISBN : 0192511556

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A Dictionary of Logic expands on Oxford's coverage of the topic in works such as The Oxford Dictionary of Philosophy, The Concise Oxford Dictionary of Mathematics, and A Dictionary of Computer Science. Featuring more than 450 entries primarily concentrating on technical terminology, the history of logic, the foundations of mathematics, and non-classical logic, this dictionary is an essential resource for both undergraduates and postgraduates studying philosophical logic at a high level.

Using a Logic Grammar to Learn a Lexicon

Author : Manny Rayner
Publisher :
Page : 12 pages
File Size : 38,61 MB
Release : 1988
Category : Grammar, Comparative and general
ISBN :

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"It is suggested that the concept of "logic grammar" as relation between a string and a parse-tree can be entended by admitting the lexicon as part of the relation. This makes it possible to give a simple and elegant formulation of the process of infering a lexicon from example sentences in conjunction with a grammar. Various problems arising from implementation and complexity factors are considered, and examples are shown to support the claim that the method shows potential as a practical tool for automatic lexicon acquisition."

Logic in Grammar

Author : Gennaro Chierchia
Publisher : Oxford University Press, USA
Page : 481 pages
File Size : 43,80 MB
Release : 2013-07-25
Category : Language Arts & Disciplines
ISBN : 0199697973

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In a fundamental investigation of language and human reasoning, Gennaro Chierchia looks at how syntactic and inferential processes interact through the study of polarity sensitive and free choice items. He reformulates the semantics of focus and scope and the pragmatics of implicature as part of the recursive semantic system.

On the Logic and Learning of Language

Author : Sean A. Fulop
Publisher : Trafford Publishing
Page : 486 pages
File Size : 34,47 MB
Release : 2004-10-14
Category : Science
ISBN : 1412222184

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This book presents the author's research on automatic learning procedures for categorial grammars of natural languages. The research program spans a number of intertwined disciplines, including syntax, semantics, learnability theory, logic, and computer science. The theoretical framework employed is an extension of categorial grammar that has come to be called multimodal or type-logical grammar. The first part of the book presents an expository summary of how grammatical sentences of any language can be deduced with a specially designed logical calculus that treats syntactic categories as its formulae. Some such Universal Type Logic is posited to underlie the human language faculty, and all linguistic variation is captured by the different systems of semantic and syntactic categories which are assigned in the lexicons of different languages. The remainder of the book is devoted to the explicit formal development of computer algorithms which can learn the lexicons of type logical grammars from learning samples of annotated sentences. The annotations consist of semantic terms expressed in the lambda calculus, and may also include an unlabeled tree-structuring over the sentence. The major features of the research include the following: We show how the assumption of a universal linguistic component---the logic of language---is not incompatible with the conviction that every language needs a different system of syntactic and semantic categories for its proper description. The supposedly universal linguistic categories descending from antiquity (noun, verb, etc.) are summarily discarded. Languages are here modeled as consisting primarily of sentence trees labeled with semantic structures; a new mathematical class of such term-labeled tree languages is developed which cross-cuts the well-known Chomsky hierarchy and provides a formal restrictive condition on the nature of human languages. The human language acquisition mechanism is postulated to be biased, such that it assumes all input language samples are drawn from the above "syntactically homogeneous" class; in this way, the universal features of human languages arise not just from the innate logic of language, but also from the innate biases which govern language learning. This project represents the first complete explicit attempt to model the aquisition of human language since Steve Pinker's groundbreaking 1984 publication, "Language Learnability and Language Development."

Understanding the lexicon

Author : Werner Hüllen
Publisher : Walter de Gruyter
Page : 457 pages
File Size : 31,41 MB
Release : 2011-05-02
Category : Language Arts & Disciplines
ISBN : 3111355195

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Over the past few decades, the book series Linguistische Arbeiten [Linguistic Studies], comprising over 500 volumes, has made a significant contribution to the development of linguistic theory both in Germany and internationally. The series will continue to deliver new impulses for research and maintain the central insight of linguistics that progress can only be made in acquiring new knowledge about human languages both synchronically and diachronically by closely combining empirical and theoretical analyses. To this end, we invite submission of high-quality linguistic studies from all the central areas of general linguistics and the linguistics of individual languages which address topical questions, discuss new data and advance the development of linguistic theory.