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  1. The Square of Opposition and Generalized Quantifiers.Duilio D'Alfonso - 2012 - In Jean-Yves Béziau & Dale Jacquette (eds.), Around and Beyond the Square of Opposition. New York: Springer Verlag. pp. 219--227.
    In this paper I propose a set-theoretical interpretation of the logical square of opposition, in the perspective opened by generalized quantifier theory. Generalized quantifiers allow us to account for the semantics of quantificational Noun Phrases, and of other natural language expressions, in a coherent and uniform way. I suggest that in the analysis of the meaning of Noun Phrases and Determiners the square of opposition may help representing some semantic features responsible to different logical properties of these expressions. I will (...)
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  • General Patterns of Opposition Squares and 2n-gons.Ka-fat Chow - 2012 - In Jean-Yves Béziau & Dale Jacquette (eds.), Around and Beyond the Square of Opposition. New York: Springer Verlag. pp. 263--275.
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  • The effect of negative polarity items on inference verification.Anna Szabolcsi, Lewis Bott & Brian McElree - 2008 - Journal of Semantics 25 (4):411-450.
    The scalar approach to negative polarity item (NPI) licensing assumes that NPIs are allowable in contexts in which the introduction of the NPI leads to proposition strengthening (e.g., Kadmon & Landman 1993, Krifka 1995, Lahiri 1997, Chierchia 2006). A straightforward processing prediction from such a theory is that NPI’s facilitate inference verification from sets to subsets. Three experiments are reported that test this proposal. In each experiment, participants evaluated whether inferences from sets to subsets were valid. Crucially, we manipulated whether (...)
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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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  • New directions for proof theory in linguistics. ESSLLI 2007 course reader.Anna Szabolcsi & Chris Barker - manuscript
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