Journal of Logic, Language and Information

, Volume 13, Issue 4, pp 385–402

Scope Dominance with Monotone Quantifiers over Finite Domains

Original Article

Abstract

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.

Key words

Ambiguity inference monotonicity natural language quantifier scope under-specification 

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Copyright information

© Kluwer Academic Publishers 2004

Authors and Affiliations

  1. 1.Computer Science DepartmentTechnion—Israel Institute of TechnologyHaifa

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