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Anaphorically unrestricted quantifiers and paradoxes

In Jc Beall & Bradley P. Armour-Garb (eds.), Deflationism and Paradox. Oxford, England: Oxford University Press (2005)

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  1. Deflationism and the Function of Truth.Lavinia Picollo & Thomas Schindler - 2018 - Philosophical Perspectives 32 (1):326-351.
    Deflationists claim that the truth predicate was introduced into our language merely to full a certain logico-linguistic function. Oddly enough, the question what this function exactly consists in has received little attention. We argue that the best way of understanding the function of the truth predicate is as enabling us to mimic higher-order quantification in a first-order framework. Indeed, one can show that the full simple theory of types is reducible to disquotational principles of truth. Our analysis has important consequences (...)
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  • Disquotation and Infinite Conjunctions.Thomas Schindler & Lavinia Picollo - 2017 - Erkenntnis 83 (5):899-928.
    One of the main logical functions of the truth predicate is to enable us to express so-called ‘infinite conjunctions’. Several authors claim that the truth predicate can serve this function only if it is fully disquotational, which leads to triviality in classical logic. As a consequence, many have concluded that classical logic should be rejected. The purpose of this paper is threefold. First, we consider two accounts available in the literature of what it means to express infinite conjunctions with a (...)
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  • The inconsistency of natural languages: How we live with it.Jody Azzouni - 2007 - Inquiry: An Interdisciplinary Journal of Philosophy 50 (6):590 – 605.
    I revisit my earlier arguments for the (trivial) inconsistency of natural languages, and take up the objection that no such argument can be established on the basis of surface usage. I respond with the evidential centrality of surface usage: the ways it can and can't be undercut by linguistic science. Then some important ramifications of having an inconsistent natural language are explored: (1) the temptation to engage in illegitimate reductio reasoning, (2) the breakdown of the knowledge idiom (because its facticity (...)
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