Abstract of "Scope Dominance with Monotone Quantifiers over Finite Domains"
Abstract of "Scope Dominance with Monotone Quantifiers over Finite Domains"
Gilad Ben-Avi and
Yoad Winter
To appear in Journal of Logic, Language and Information
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We characterize pairs of monotone generalized quantifiers Q1 and
Q2 over finite domains that
give rise to an entailment relation between their two relative scope
construals. This relation between quantifiers, which is referred to as
scope dominance, is used for identifying entailment relations between
the two scopal interpretations of simple sentences of the form
NP1-V-NP2.
Simple numerical or set-theoretical considerations that follow from
our main result are used for characterizing such relations.
The variety of examples in which they hold are shown to go far beyond
the familiar existential-universal type.
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