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Generalized quantifiers

Stanford Encyclopedia of Philosophy (2008)

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  1. Intensional Perceptual Ascriptions.David Bourget - 2017 - Erkenntnis 82 (3):513-530.
    This paper defends the view that perceptual ascriptions such as “Jones sees a cat” are sometimes intensional. I offer a range of examples of intensional perceptual ascriptions, respond to objections to intensional readings of perceptual ascriptions, and show how widely accepted semantic accounts of intensionality can explain the key features of intensional perceptual ascriptions.
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  • The Proper Treatment of Identity in Dialetheic Metaphysics.Nicholas K. Jones - forthcoming - The Philosophical Quarterly.
    According to one prominent strand of mainstream logic and metaphysics, identity is indistinguishability. Priest has recently argued that this permits counterexamples to the transitivity and substitutivity of identity within dialetheic metaphysics, even in paradigmatically extensional contexts. This paper investigates two alternative regimentations of indistinguishability. Although classically equivalent to the standard regimentation on which Priest focuses, these alternatives are strictly stronger than it in dialetheic settings. Both regimentations are transitive, and one satisfies substitutivity. It is argued that both regimentations provide better (...)
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  • Counting Incompossibles.Peter Fritz & Jeremy Goodman - 2017 - Mind 126 (504):1063–1108.
    We often speak as if there are merely possible people—for example, when we make such claims as that most possible people are never going to be born. Yet most metaphysicians deny that anything is both possibly a person and never born. Since our unreflective talk of merely possible people serves to draw non-trivial distinctions, these metaphysicians owe us some paraphrase by which we can draw those distinctions without committing ourselves to there being merely possible people. We show that such paraphrases (...)
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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.
  • Implications of Intensional Perceptual Ascriptions for Relationalism, Disjunctivism, and Representationalism About Perceptual Experience.David Bourget - 2019 - Erkenntnis 84 (2):381-408.
    This paper aims to shed new light on certain philosophical theories of perceptual experience by examining the semantics of perceptual ascriptions such as “Jones sees an apple.” I start with the assumption, recently defended elsewhere, that perceptual ascriptions lend themselves to intensional readings. In the first part of the paper, I defend three theses regarding such readings: I) intensional readings of perceptual ascriptions ascribe phenomenal properties, II) perceptual verbs are not ambiguous between intensional and extensional readings, and III) intensional perceptual (...)
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  • Logical Constants in Quantifier Languages.Dag Westerståhl - 1985 - Linguistics and Philosophy 8 (4):387 - 413.
  • Modal Ontology and Generalized Quantifiers.Peter Fritz - 2013 - Journal of Philosophical Logic 42 (4):643-678.
    Timothy Williamson has argued that in the debate on modal ontology, the familiar distinction between actualism and possibilism should be replaced by a distinction between positions he calls contingentism and necessitism. He has also argued in favor of necessitism, using results on quantified modal logic with plurally interpreted second-order quantifiers showing that necessitists can draw distinctions contingentists cannot draw. Some of these results are similar to well-known results on the relative expressivity of quantified modal logics with so-called inner and outer (...)
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  • Partially-Ordered (Branching) Generalized Quantifiers: A General Definition.Gila Sher - 1997 - Journal of Philosophical Logic 26 (1):1-43.
    Following Henkin's discovery of partially-ordered (branching) quantification (POQ) with standard quantifiers in 1959, philosophers of language have attempted to extend his definition to POQ with generalized quantifiers. In this paper I propose a general definition of POQ with 1-place generalized quantifiers of the simplest kind: namely, predicative, or "cardinality" quantifiers, e.g., "most", "few", "finitely many", "exactly α", where α is any cardinal, etc. The definition is obtained in a series of generalizations, extending the original, Henkin definition first to a general (...)
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  • A Semantic Characterization of Natural Language Determiners.Edward L. Keenan & Jonathan Stavi - 1986 - Linguistics and Philosophy 9 (3):253 - 326.
  • Not Only Barbara.Paul J. E. Dekker - 2015 - Journal of Logic, Language and Information 24 (2):95-129.
    With this paper I aim to demonstrate that a look beyond the Aristotelian square of opposition, and a related non-conservative view on logical determiners, contributes to both the understanding of Aristotelian syllogistics as well as to the study of quantificational structures in natural language.
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