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Universal Universal Quantification

In J. C. Beall (ed.), Liars and Heaps: New Essays on Paradox. Oxford, England: Oxford University Press UK (2003)

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  1. Beyond Plurals.Agust\’in Rayo - 2006 - In Agustín Rayo & Gabriel Uzquiano (eds.), Absolute generality. New York: Oxford University Press. pp. 220--54.
    I have two main objectives. The first is to get a better understanding of what is at issue between friends and foes of higher-order quantification, and of what it would mean to extend a Boolos-style treatment of second-order quantification to third- and higherorder quantification. The second objective is to argue that in the presence of absolutely general quantification, proper semantic theorizing is essentially unstable: it is impossible to provide a suitably general semantics for a given language in a language of (...)
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