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  1. Determiners and Logic.Johan van Benthem - 1983 - Linguistics and Philosophy 6 (4):447-478.
  • Some Properties of Natural Language Quantifiers: Generalized Quantifier Theory. [REVIEW]Edward Keenan - 2002 - Linguistics and Philosophy 25 (5-6):627-654.
  • A Semantic Characterization of Natural Language Determiners.Edward L. Keenan & Jonathan Stavi - 1986 - Linguistics and Philosophy 9 (3):253 - 326.
  • Comprehension of Simple Quantifiers: Empirical Evaluation of a Computational Model.Jakub Szymanik & Marcin Zajenkowski - 2010 - Cognitive Science 34 (3):521-532.
    We examine the verification of simple quantifiers in natural language from a computational model perspective. We refer to previous neuropsychological investigations of the same problem and suggest extending their experimental setting. Moreover, we give some direct empirical evidence linking computational complexity predictions with cognitive reality.<br>In the empirical study we compare time needed for understanding different types of quantifiers. We show that the computational distinction between quantifiers recognized by finite-automata and push-down automata is psychologically relevant. Our research improves upon hypothesis and (...)
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  • Bare Plurals, Bare Conditionals, and Only.Kai von Fintel - 1997 - Journal of Semantics 14 (1):1-56.
    The compositional semantics of sentences like Only mammals give live birth and The flag flies only if the Queen is home is a tough problem. Evidence is presented to show that only here is modifying an underlying proposition (its ‘prejacent’). After discussing the semantics of only, the question of the proper interpretation of the prejacent is explored. It would be nice if the prejacent could be analyzed as having existential quantificational force. But that is difficult to maintain, since the prejacent (...)
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  • On the Grammar and Processing of Proportional Quantifiers: Most Versus More Than Half.Martin Hackl - 2009 - Natural Language Semantics 17 (1):63-98.
    Abstract Proportional quantifiers have played a central role in the development of formal semantics because they set a benchmark for the expressive power needed to describe quantification in natural language (Barwise and Cooper Linguist Philos 4:159–219, 1981). The proportional quantifier most, in particular, supplied the initial motivation for adopting Generalized Quantifier Theory (GQT) because its meaning is definable as a relation between sets of individuals, which are taken to be semantic primitives in GQT. This paper proposes an alternative analysis of (...)
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  • The Witness Set Constraint.Jordi Fortuny - forthcoming - Journal of Semantics.
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  • Logical Constants in Quantifier Languages.Dag Westerståhl - 1985 - Linguistics and Philosophy 8 (4):387 - 413.
  • The Conservativity of Many : Split Scope and Most.Maribel Romero - 2018 - Topoi 37 (3):393-404.
    Besides their cardinal and proportional readings, many and few have been argued to allow for a ‘reverse’ proportional reading that defies the conservativity universal. Recently, an analysis has been developed that derives the correct truth conditions for this reading while preserving conservativity. The present paper investigates two predictions of this analysis, based on two key ingredients. First, many is decomposed into a determiner stem many and the degree operator POS. This predicts that other elements may scopally intervene between the two (...)
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  • The Intensional Many - Conservativity Reclaimed.Harald Andreas Bastiaanse - 2014 - Journal of Philosophical Logic 43 (5):883-901.
    Following on Westerståhl’s argument that many is not Conservative [9], I propose an intensional account of Conservativity as well as intensional versions of EXT and Isomorphism closure. I show that an intensional reading of many can easily possess all three of these, and provide a formal statement and proof that they are indeed proper intensionalizations. It is then discussed to what extent these intensionalized properties apply to various existing readings of many.
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  • Relative Readings of Many, Often, and Generics.Ariel Cohen - 2001 - Natural Language Semantics 9 (1):41-67.
    In addition to the familiar cardinal and proportional readings of many and few, there is yet another interpretation, the relative proportional reading. This reading, unlike the ordinary absolute proportional reading, is not conservative. Under the relative reading, 'Many ψs are φs' is true just in case the proportion of φs among ψs is greater than the proportion of φs among members of contextually given alternatives to ψ. I provide a definition of proportional readings that reduces the differences between absolute and (...)
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  • 'Only' as a Determiner and as a Generalized Quantifier.Sjaak de Mey - 1991 - Journal of Semantics 8 (1-2):91-106.
    Two types of linguistic theories have been particularly concerned with the analysis of ‘only’: pragmatics, in particular focus theory and presupposition theory, and generalized quantifier (GQ) theory, the latter in the negative sense that it has been eager to show that ‘only’ is not a GQ. Judging from such analyses, then, it would appear that the analysis of ‘only’ is not at home in the grammar of natural language. The main negative point of the present article is to dispute this. (...)
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  • Generalized Quantifiers and Natural Language.John Barwise & Robin Cooper - 1981 - Linguistics and Philosophy 4 (2):159--219.
  • Generalized Quantifiers and Natural Language.Jon Barwise - 1980 - Linguistics and Philosophy 4:159.
  • The Semantics of Determiners.Edward L. Keenan - 1996 - In Shalom Lappin (ed.), The Handbook of Contemporary Semantic Theory. Blackwell. pp. 41--64.
  • Background Notions in Lattice Theory and Generalized Quantifiers.Anna Szabolcsi - 1997 - In Ways of Scope Taking. Kluwer Academic Publishers. pp. 1--27.
  • Generalized Quantifiers in Linguistics and Logic.D. Keenan & D. Westerstahl - 2011 - In Johan Van Benthem & Alice Ter Meulen (eds.), Handbook of Logic and Language. Elsevier. pp. 837--893.
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