Plural quantification exposed

Noûs 37 (1):71–92 (2003)
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Abstract

This paper criticizes George Boolos's famous use of plural quantification to argue that monadic second-order logic is pure logic. I deny that plural quantification qualifies as pure logic and express serious misgivings about its alleged ontological innocence. My argument is based on an examination of what is involved in our understanding of the impredicative plural comprehension schema.

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Øystein Linnebo
University of Oslo

References found in this work

Frege's conception of numbers as objects.Crispin Wright - 1983 - [Aberdeen]: Aberdeen University Press.
Parts of Classes.David K. Lewis - 1991 - Mind 100 (3):394-397.
A subject with no object: strategies for nominalistic interpretation of mathematics.John P. Burgess & Gideon Rosen - 1997 - New York: Oxford University Press. Edited by Gideon A. Rosen.
Composition as a fiction.Gideon Rosen & Cian Dorr - 2002 - In Richard Gale (ed.), The Blackwell Companion to Metaphysics. Blackwell. pp. 151--174.

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