On What There Are

Proceedings of the Aristotelian Society 102:183 - 200 (2002)
  Copy   BIBTEX

Abstract

Is second-order quantification legitimate? For Quine, it was pure non-sense, unless construed as first-order quantification in disguise, ranging over sets. Boolos rightly maintained that it could be interpreted in terms of plural quantification, but claimed that it then ranged over the same individuals as singular, first-order quantification. I protest that plural quantification ranges over what I call multiplicities. But what is a 'multiplicity'? And does this idea itself not fall prey to something like Frege's paradox?

Links

PhilArchive



    Upload a copy of this work     Papers currently archived: 92,323

External links

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

Through your library

Similar books and articles

Plural quantification.Ø Linnebo - 2008 - Stanford Encyclopedia of Philosophy.
Plural Logicism.Francesca Boccuni - 2013 - Erkenntnis 78 (5):1051-1067.
The Logic of Finite Order.Simon Hewitt - 2012 - Notre Dame Journal of Formal Logic 53 (3):297-318.
On quantifying into predicate position: Steps towards a new (tralist) perspective.Crispin Wright - 2007 - In Mary Leng, Alexander Paseau & Michael Potter (eds.), Mathematical Knowledge. Oxford University Press. pp. 150--74.
‘That’-Clauses and Non-nominal Quantification.Tobias Rosefeldt - 2008 - Philosophical Studies 137 (3):301 - 333.
Indenumerability and substitutional quantification.Philip Hugly & Charles Sayward - 1982 - Notre Dame Journal of Formal Logic 23 (4):358-366.
Plural quantification and classes.Gabriel Uzquiano - 2003 - Philosophia Mathematica 11 (1):67-81.
Beyond Plurals.Agust\’in Rayo - 2006 - In Agust\’in Rayo & Gabriel Uzquiano (eds.), Absolute Generality. Oxford University Press. pp. 220--54.
Sets, properties, and unrestricted quantification.Øystein Linnebo - 2006 - In Gabriel Uzquiano & Agustin Rayo (eds.), Absolute Generality. Oxford University Press. pp. 149--178.

Analytics

Added to PP
2011-05-29

Downloads
48 (#333,548)

6 months
5 (#648,315)

Historical graph of downloads
How can I increase my downloads?

Citations of this work

Plural quantification.Ø Linnebo - 2008 - Stanford Encyclopedia of Philosophy.
Pure Logic and Higher-order Metaphysics.Christopher Menzel - 2024 - In Peter Fritz & Nicholas K. Jones (eds.), Higher-Order Metaphysics. Oxford University Press.
Truth, Pretense and the Liar Paradox.Bradley Armour-Garb & James A. Woodbridge - 2015 - In T. Achourioti, H. Galinon, J. Martínez Fernández & K. Fujimoto (eds.), Unifying the Philosophy of Truth. Dordrecht: Imprint: Springer. pp. 339-354.

Add more citations

References found in this work

No references found.

Add more references