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  1. Stanley Peters and Dag Westerståhl: Quantifiers in language and logic: OUP, New York, 2006, 528 pp. [REVIEW]Edward Keenan & Denis Paperno - 2010 - Linguistics and Philosophy 33 (6):513 - 549.
    Quantifiers in Language and Logic (QLL) is a major contribution to natural language semantics, specifically to quantification. It integrates the extensive recent work on quantifiers in logic and linguistics. It also presents new observations and results. QLL should help linguists understand the mathematical generalizations we can make about natural language quantification, and it should interest logicians by presenting an extensive array of quantifiers that lie beyond the pale of classical logic. Here we focus on those aspects of QLL we judge (...)
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  • Generalized quantifiers.Dag Westerståhl - 2008 - Stanford Encyclopedia of Philosophy.
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  • Scope dominance with monotone quantifiers over finite domains.Gilad Ben-Avi & Yoad Winter - 2004 - Journal of Logic, Language and Information 13 (4):385-402.
    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 (...)
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