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Generalized quantifiers

Stanford Encyclopedia of Philosophy (2008)

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  1. 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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  • The representational theory of consciousness.David Bourget - 2010 - Dissertation, Australian National University
    A satisfactory solution to the problem of consciousness would take the form of a simple yet fully general model that specifies the precise conditions under which any given state of consciousness occurs. Science has uncovered numerous correlations between consciousness and neural activity, but it has not yet come anywhere close to this. We are still looking for the Newtonian laws of consciousness. -/- One of the main difficulties with consciousness is that we lack a language in which to formulate illuminating (...)
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  • Should an Ontological Pluralist Be a Quantificational Pluralist?Byron Simmons - 2022 - Journal of Philosophy 119 (6):324-346.
    Ontological pluralism is the view that there are different fundamental ways of being. Recent defenders of this view—such as Kris McDaniel and Jason Turner—have taken these ways of being to be best captured by semantically primitive quantifier expressions ranging over different domains. They have thus endorsed, what I shall call, quantificational pluralism. I argue that this focus on quantification is a mistake. For, on this view, a quantificational structure—or a quantifier for short—will be whatever part or aspect of reality’s structure (...)
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  • The proper treatment of identity in dialetheic metaphysics.Nicholas K. Jones - 2020 - The Philosophical Quarterly 70 (278):65-92.
    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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  • Aristotle, Logic, and QUARC.Jonas Raab - 2018 - History and Philosophy of Logic 39 (4):305-340.
    The goal of this paper is to present a new reconstruction of Aristotle's assertoric logic as he develops it in Prior Analytics, A1-7. This reconstruction will be much closer to Aristotle's original...
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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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  • Implications of Intensional Perceptual Ascriptions for Relationalism, Disjunctivism, and Representationalism About Perceptual Experience.David Bourget - 2017 - 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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  • Generics and the structure of the mind.Sarah-Jane Leslie - 2007 - Philosophical Perspectives 21 (1):375–403.
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  • 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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  • A semantic characterization of natural language determiners.Edward L. Keenan & Jonathan Stavi - 1986 - Linguistics and Philosophy 9 (3):253 - 326.
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  • Characterising Context-Independent Quantifiers and Inferences.Stanisław Krajewski - 2024 - Studia Humana 13 (2):1-8.
    Context is essential in virtually all human activities. Yet some logical notions seem to be context-free. For example, the nature of the universal quantifier, the very meaning of “all”, seems to be independent of the context. At the same time, there are many quantifier expressions, and some are context-independent, while others are not. Similarly, purely logical consequence seems to be context-independent. Yet often we encounter strong inferences, good enough for practical purposes, but not valid. The two types of examples suggest (...)
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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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  • Logical constants in quantifier languages.Dag Westerståhl - 1985 - Linguistics and Philosophy 8 (4):387 - 413.
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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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  • 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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