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Taking ScopeThe Natural Semantics of Quantifiers$
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Mark Steedman

Print publication date: 2011

Print ISBN-13: 9780262017077

Published to MIT Press Scholarship Online: August 2013

DOI: 10.7551/mitpress/9780262017077.001.0001

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Quantification and Pronominal Anaphora

Quantification and Pronominal Anaphora

Chapter:
(p.109) Chapter 7 Quantification and Pronominal Anaphora
Source:
Taking Scope
Author(s):

Mark Steedman

Publisher:
The MIT Press
DOI:10.7551/mitpress/9780262017077.003.0007

Type raising, a rule of the Combinatory Categorial Grammar (CCG) lexicon, is the operation used by Richard Montague in 1973 in semantics to treat quantification in natural language and capture the phenomena of quantifier-scope illustrated by the sentence “Somebody loves everybody.” In this tradition, it is standard to translate expressions such as “every farmer” and “some donkey” into “generalized quantifiers.” This chapter discusses quantification and pronominal anaphora, explains how generalized quantifiers can be incorporated naturally into the semantics of CG determiners, and describes a category schema that makes generalized quantifiers function from nouns to type-raised noun phrases. It also discusses universal determiners and indefinite determiners, Skolem terms, definites, pronouns, and bound-variable anaphora.

Keywords:   anaphora, Combinatory Categorial Grammar, quantification, quantifier-scope, generalized quantifiers, determiners, noun phrases, Skolem terms, definites, pronouns

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