Plural quantification exposed

Noûs 37 (1):71–92 (2003)

Authors
Øystein Linnebo
University of Oslo
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.
Keywords plural logic  Boolos
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DOI 10.1111/1468-0068.00429
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References found in this work BETA

Parts of Classes.David LEWIS - 1991 - Blackwell.
Logic, Logic and Logic.George Boolos - 1998 - Harvard University Press.
Parts of Classes.David LEWIS - 1991 - Mind 100 (3):394-397.
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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Citations of this work BETA

Epistemological Challenges to Mathematical Platonism.Øystein Linnebo - 2006 - Philosophical Studies 129 (3):545-574.
Superplurals in English.Øystein Linnebo & David Nicolas - 2008 - Analysis 68 (3):186–197.
Predicative Fragments of Frege Arithmetic.Øystein Linnebo - 2004 - Bulletin of Symbolic Logic 10 (2):153-174.

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Plural Quantification.Ø Linnebo - 2008 - Stanford Encyclopedia of Philosophy.
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