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  1. Branching Quantification v. Two-way Quantification.Nina Gierasimczuk & Jakub Szymanik - 2009 - Journal of Semantics 26 (4):329-366.
    Next SectionWe discuss the thesis formulated by Hintikka (1973) that certain natural language sentences require non-linear quantification to express their meaning. We investigate sentences with combinations of quantifiers similar to Hintikka's examples and propose a novel alternative reading expressible by linear formulae. This interpretation is based on linguistic and logical observations. We report on our experiments showing that people tend to interpret sentences similar to Hintikka sentence in a way consistent with our interpretation.
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  • Generalized quantifiers.Dag Westerståhl - 2008 - Stanford Encyclopedia of Philosophy.
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  • Independent Set Readings and Generalized Quantifiers.Livio Robaldo - 2010 - Journal of Philosophical Logic 39 (1):23-58.
    Several authors proposed to devise logical structures for Natural Language (NL) semantics in which noun phrases yield referential terms rather than standard Generalized Quantifiers. In this view, two main problems arise: the need to refer to the maximal sets of entities involved in the predications and the need to cope with Independent Set (IS) readings, where two or more sets of entities are introduced in parallel. The article illustrates these problems and their consequences, then presents an extension of the proposal (...)
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