Plural quantification exposed

Noûs 37 (1):71–92 (2003)
  Copy   BIBTEX

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.

Categories

Keywords

Reprint years

DOI

10.1111/1468-0068.00429

Other Versions

No versions found

Links

PhilArchive

    This entry is not archived by us. If you are the author and have permission from the publisher, we recommend that you archive it. Many publishers automatically grant permission to authors to archive pre-prints. By uploading a copy of your work, you will enable us to better index it, making it easier to find.

    Upload a copy of this work     Papers currently archived: 106,168

External links

Setup an account with your affiliations in order to access resources via your University's proxy server

Through your library

My notes

Similar books and articles

Plural quantification.Ø Linnebo - 2008 - Stanford Encyclopedia of Philosophy.
To Be is to Be the Object of a Possible Act of Choice.Massimiliano Carrara & Enrico Martino - 2010 - Studia Logica 96 (2):289-313.
On the Innocence and Determinacy of Plural Quantification.Salvatore Florio & Øystein Linnebo - 2016 - Noûs 50 (3):565–583.
On plural reference and elementary set theory.Helen Morris Cartwright - 1993 - Synthese 96 (2):201 - 254.
Arbitrary Reference in Logic and Mathematics.Massimiliano Carrara & Enrico Martino - 2024 - Springer Cham (Synthese Library 490).
Logic and Plurals.Salvatore Florio & Øystein Linnebo - 2016 - In Kirk Ludwig & Marija Jankovic, The Routledge Handbook of Collective Intentionality. New York: Routledge. pp. 451-463.
On the ontological commitment of mereology.Massimiliano Carrara & Enrico Martino - 2009 - Review of Symbolic Logic 2 (1):164-174.
Composition, identity and plural ontology.Roberto Loss - 2020 - Synthese 198 (10):9193-9210.
On what there are.Philippe Derouilhan - 2002 - Proceedings of the Aristotelian Society 102 (2):183–200.

Analytics

Added to PP
2009-01-28

Downloads
339 (#89,899)

6 months
21 (#148,291)

Historical graph of downloads
How can I increase my downloads?

Author's Profile

Øystein Linnebo
University of Oslo

Citations of this work

Pure Logic and Higher-order Metaphysics.Christopher Menzel - 2024 - In Peter Fritz & Nicholas K. Jones, Higher-Order Metaphysics. Oxford University Press.
Plural quantification.Ø Linnebo - 2008 - Stanford Encyclopedia of Philosophy.
Pluralities, counterparts, and groups.Isaac Wilhelm - 2022 - Philosophical Studies 179 (7):2133-2153.

View all 69 citations / Add more citations

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.

View all 30 references / Add more references