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  1. Generalized Quantifiers in Dependence Logic.Fredrik Engström - 2012 - Journal of Logic, Language and Information 21 (3):299-324.
    We introduce generalized quantifiers, as defined in Tarskian semantics by Mostowski and Lindström, in logics whose semantics is based on teams instead of assignments, e.g., IF-logic and Dependence logic. Both the monotone and the non-monotone case is considered. It is argued that to handle quantifier scope dependencies of generalized quantifiers in a satisfying way the dependence atom in Dependence logic is not well suited and that the multivalued dependence atom is a better choice. This atom is in fact definably equivalent (...)
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  • (1 other version)Does every sentence like this exhibit a scope ambiguity? Paul Pietroski and Norbert Hornstein, univ. Of maryland.Paul Pietrowski - manuscript
    We think recent work in linguistics tells against the traditional claim that a string of words like (1) Every girl pushed some truck has two readings, indicated by the following formal language sentences (with restricted quantifiers): (1a) [!x:Gx]["y:Ty]Pxy (1b) ["y:Ty][!x:Gx]Pxy. In our view, (1) does not have any b-reading in which ‘some truck’ has widest scope.1 The issue turns on details concerning syntactic transformations and terms like ‘every’. This illustrates an important point for the study of natural language: ambiguity hypotheses (...)
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  • Numerical Quantifiers in game-theoretical semantics.Gyula Klima & Gabriel Sandu - 1990 - Theoria 56 (3):173-192.
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  • Interpreting concatenation and concatenates.Paul M. Pietroski - 2006 - Philosophical Issues 16 (1):221–245.
    This paper presents a slightly modified version of the compositional semantics proposed in Events and Semantic Architecture (OUP 2005). Some readers may find this shorter version, which ignores issues about vagueness and causal constructions, easier to digest. The emphasis is on the treatments of plurality and quantification, and I assume at least some familiarity with more standard approaches.
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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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  • Conservativity: a necessary property for the maximization of witness sets.L. Robaldo - 2013 - Logic Journal of the IGPL 21 (5):853-878.
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