Anaphora and Type Logical Grammar

By: Gerhard JÃ¤ger

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Hardcover | 26 August 2005

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308 Pages

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23.39 x 15.6 x 1.91

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ThisbookdiscusseshowTypeLogicalGrammarcanbemodi?edinsuch awaythatasystematictreatmentofanaphoraphenomenabecomesp- sible without giving up the general architecture of this framework. By Type Logical Grammar, I mean the version of Categorial Grammar that arose out of the work of Lambek, 1958 and Lambek, 1961. There Ca- gorial types are analyzed as formulae of a logical calculus. In particular, the Categorial slashes are interpreted as forms of constructive impli- tion in the sense of Intuitionistic Logic. Such a theory of grammar is per se attractive for a formal linguist who is interested in the interplay between formal logic and the structure of language. What makes L- bekstyleCategorialGrammarevenmoreexcitingisthefactthat(asvan Benthem,1983pointsout)theCurry-Howardcorrespondence-acentral part of mathematical proof theory which establishes a deep connection betweenconstructivelogicsandthe?-calculus-suppliesthetypelogical syntax with an extremely elegant and independently motivated interface to model-theoretic semantics. Prima facie, anaphora does not ?t very well into the Categorial picture of the syntax-semantics interface. The Curry-Howard based composition of meaning operates in a local way, and meaning ass- bly is linear, i.e., every piece of lexical meaning is used exactly once. Anaphora, on the other hand, is in principle unbounded, and it involves by de?nition the multiple use of certain semantic resources. The latter problem has been tackled by several Categorial grammarians by ass- ing su?ciently complex lexical meanings for anaphoric expressions, but the locality problem is not easy to solve in a purely lexical way.

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You Can Find This Book In

Non-Fiction Language & Linguistics Linguistics Semantics & Discourse Analysis Philosophy of Language Philosophy Philosophy & Logic Grammar, Syntax & Morphology Reference, Dictionaries & Guides Language History & General Works Language Learning & Teaching Language Teaching & Learning Material & Coursework

Grammar, Vocabulary & Pronunciation

List of Tables
Preface
Acknowledgments
Type Logical Grammar: The Framework
Basic Categorial Grammar
Combinators and Type Logical Grammar
Historical and bibliographical remarks
The Problem of Anaphora
Anaphora and semantic resource sensitivity
Variables in TLG
Previous Categorial approaches to anaphora
Summary
Lambek Calculus with Limited Contraction
The agenda
Contraction?
The Logic LLC
Relation to Jacobson's system
Pronouns and Quantification
Basic cases
Binding by wh -operators
Binding by quantifiers
Weak crossover
Precedence versus c-command
Backward binding and reconstruction
VERB Phrase Ellipsis
Introduction
VPE: The basic idea
Interaction with pronominal anaphora
Interaction of VPE and quantification
VPE and Polymorphism
Parallelism versus source ambiguity
Indefinites
Introduction
Dekker's Predicate Logic with Anaphora
Bringing PLA into TLG
Donkey sentences
Indefinites and scope
Sluicing
Summary and desiderata
References
Index
Table of Contents provided by Publisher. All Rights Reserved.

Anaphora and Type Logical Grammar

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Hardcover

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