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The Proper Theory of Quantification

In Jaakko Hintikka (ed.), Approaches to Natural Language. D. Reidel Publishing (1973)

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  1. Nominalization, predication and type containment.Fairouz Kamareddine & Ewan Klein - 1993 - Journal of Logic, Language and Information 2 (3):171-215.
    In an attempt to accommodate natural language phenomena involving nominalization and self-application, various researchers in formal semantics have proposed abandoning the hierarchical type system which Montague inherited from Russell, in favour of more flexible type regimes. We briefly review the main extant proposals, and then develop a new approach, based semantically on Aczel's notion of Frege structure, which implements a version ofsubsumption polymorphism. Nominalization is achieved by virtue of the fact that the types of predicative and propositional complements are contained (...)
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  • Logical Form: Classical Conception and Recent Challenges.Brendan Jackson - 2006 - Philosophy Compass 1 (3):303-316.
    The term ‘logical form’ has been called on to serve a wide range of purposes in philosophy, and it would be too ambitious to try to survey all of them in a single essay. Instead, I will focus on just one conception of logical form that has occupied a central place in the philosophy of language, and in particular in the philosophical study of linguistic meaning. This is what I will call the classical conception of logical form. The classical conception, (...)
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  • The semantics of English imperatives.Martin Huntley - 1984 - Linguistics and Philosophy 7 (2):103 - 133.
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  • A counterexample to Tarski-type truth-definitions as applied to natural languages.Jaakko Hintikka - 1975 - Philosophia 5 (3):207-212.
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  • Mass and count quantifiers.Jim Higginbotham - 1994 - Linguistics and Philosophy 17 (5):447 - 480.
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  • Montague's 'universal grammar': An introduction for the linguist. [REVIEW]Per-Kristian Halvorsen & William A. Ladusaw - 1979 - Linguistics and Philosophy 3 (2):185 - 223.
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  • Non‐Propositional Attitudes.Alex Grzankowski - 2013 - Philosophy Compass 8 (12):1123-1137.
    Intentionality, or the power of minds to be about, to represent, or to stand for things, remains central in the philosophy of mind. But the study of intentionality in the analytic tradition has been dominated by discussions of propositional attitudes such as belief, desire, and visual perception. There are, however, intentional states that aren't obviously propositional attitudes. For example, Indiana Jones fears snakes, Antony loves Cleopatra, and Jane hates the monster under her bed. The present paper explores such mental states (...)
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  • The gifted mathematician that you claim to be : Equational intensional 'reconstruction' relatives. [REVIEW]Alexander Grosu & Manfred Krifka - 2007 - Linguistics and Philosophy 30 (4):445-485.
    This paper investigates relative constructions as in The gifted mathematician that you claim to be should be able to solve this equation, in which the head noun is semantically dependent on an intensional operator in the relative clause, even though it is not c-commanded by it. This is the kind of situation that has led, within models of linguistic description that assume a syntactic level of Logical Form, to analyses in which the head noun is interpreted within the CP-internal gap (...)
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  • Perspectivism.Jeremy Goodman & Harvey Lederman - 2021 - Noûs 55 (3):623-648.
    Consider the sentence “Lois knows that Superman flies, but she doesn’t know that Clark flies”. In this paper we defend a Millian contextualist semantics for propositional attitude ascriptions, according to which ordinary uses of this sentence are true but involve a mid-sentence shift in context. Absent any constraints on the relevant parameters of context sensitivity, such a semantics would be untenable: it would undermine the good standing of systematic theorizing about the propositional attitudes, trivializing many of the central questions of (...)
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  • Unrestricted quantification and extraordinary context dependence?Michael Glanzberg - 2021 - Philosophical Studies 180 (5-6):1-22.
    This paper revisits a challenge for contextualist approaches to paradoxes such as the Liar paradox and Russell’s paradox. Contextualists argue that these paradoxes are to be resolved by appeal to context dependence. This can offer some nice and effective ways to avoid paradox. But there is a problem. Context dependence is, at least to begin with, a phenomenon in natural language. Is there really such context dependence as the solutions to paradoxes require, and is it really just a familiar linguistic (...)
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  • Unrestricted quantification and extraordinary context dependence?Michael Glanzberg - 2023 - Philosophical Studies 180 (5):1491-1512.
    This paper revisits a challenge for contextualist approaches to paradoxes such as the Liar paradox and Russell’s paradox. Contextualists argue that these paradoxes are to be resolved by appeal to context dependence. This can offer some nice and effective ways to avoid paradox. But there is a problem. Context dependence is, at least to begin with, a phenomenon in natural language. Is there really such context dependence as the solutions to paradoxes require, and is it really just a familiar linguistic (...)
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  • Prior and temporal sequences for natural language.Tim Fernando - 2016 - Synthese 193 (11).
    Logics of discrete time are, in Arthur Prior’s words, “applicable in limited fields of discourse in which we are concerned with what happens in a sequence of discrete states,” independent of “any serious metaphysical assumption that time is discrete.” This insight is applied to natural language semantics, a widespread assumption in which is that time is, as is the real line, dense. “Limited fields of discourse” are construed as finite sets of temporal propositions, inducing bounded notions of temporal granularity that (...)
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  • Critical notice.Elisabet Engdahl - 1979 - Synthese 40 (2):375-387.
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  • Quantification and Contributing Objects to Thoughts.Michael Glanzberg - 2008 - Noûs 42 (1):207 - 231.
    In this paper, I shall explore a determiner in natural language which is ambivalent as to whether it should be classified as quantificational or objectdenoting: the determiner both. Both in many ways appears to be a paradigmatic quantifier; and yet, I shall argue, it can be interpreted as having an individual—an object—as semantic value. To show the significance of this, I shall discuss two ways of thinking about quantifiers. We often think about quantifiers via intuitions about kinds of thoughts. Certain (...)
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