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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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Semantics without Existential Quantifiers

Semantics without Existential Quantifiers

(p.45) Chapter 4 Semantics without Existential Quantifiers
Taking Scope

Mark Steedman

The MIT Press

Aside from its benefits to semantics, the inclusion of the generalized form of Skolem terms avoids many paradoxes that arise when natural language quantifiers are represented by traditional existential quantifiers, including the seemingly anomalous scope of indefinites in donkey sentences. Some other operators besides quantifiers induce dependency in elements that are within their scope, such as negation, intensional verbs such as want and seek, modal verbs like might and will, and the conditional, if...then... This chapter focuses on semantics without existential quantifiers, along with intensionality, definites and indefinites, pronouns, the distributivity of quantifiers, the maximal participancy of plurals, negation, polarity, and monotone entailment.

Keywords:   semantics, existential quantifiers, negation, intensionality, definites, indefinites, pronouns, plurals, polarity, monotone entailment

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