Alexander R. Pruss
Baylor University
Joshua Rasmussen
Azusa Pacific University
Plural quantification, often used to evade Russell paradoxes, will lead back to them, given certain assumptions about propositions. This chapter provides a more generalized version of the path to paradox by showing that any theory that makes possible the construction of an appropriate packaging relation falls prey to a Russell paradox. It gives examples of widely-held metaphysical theories that require such a relation. It shows that the paradoxes that can result from plural quantification are more widely damaging, and harder to tame, than has been recognized. It also displays formal requirements that any metaphysical framework with a packaging relation must meet if it is to have a chance of escaping self-contradiction. The chapter first gives the general paradox-generating setup, and then shows how three families of metaphysical assumptions allow one to instantiate it. It concludes by assessing the aftermath of the arguments presented.
Keywords metaphysical assumptions, metaphysical theories, packaging relation, plural quantification, Russell’s paradox
Categories (categorize this paper)
DOI 10.1093/acprof:oso/9780198729242.003.0004
Edit this record
Mark as duplicate
Export citation
Find it on Scholar
Request removal from index
Revision history

Download options

PhilArchive copy

Upload a copy of this paper     Check publisher's policy     Papers currently archived: 59,687
External links

Setup an account with your affiliations in order to access resources via your University's proxy server
Configure custom proxy (use this if your affiliation does not provide a proxy)
Through your library

References found in this work BETA

All Things Must Pass Away.Joshua Spencer - 2012 - Oxford Studies in Metaphysics 7:67.

Add more references

Citations of this work BETA

On Christian Theism and Unrestricted Composition.Ross Inman & Alexander Pruss - 2019 - American Philosophical Quarterly 56 (4):345-360.

Add more citations

Similar books and articles

The Logic and Meaning of Plurals. Part II.Byeong-uk Yi - 2006 - Journal of Philosophical Logic 35 (3):239-288.
Number-Neutral Bare Plurals and the Multiplicity Implicature.Eytan Zweig - 2009 - Linguistics and Philosophy 32 (4):353-407.
Plurals and Complexes.Keith Hossack - 2000 - British Journal for the Philosophy of Science 51 (3):411-443.
Plural Reference and Reference to a Plurality. Linguistic Facts and Semantic Analyses.Friederike Moltmann - 2016 - In Massimiliano Carrara, Alexandra Arapinis & Friederike Moltmann (eds.), Unity and Plurality. Logic, Philosophy, and Semantics. Oxford: Oxford University Press. pp. 93-120.
Strategies for a Logic of Plurals.Timothy Smiley Alex Oliver - 2001 - Philosophical Quarterly 51 (204):289-306.


Added to PP index

Total views
15 ( #659,881 of 2,432,285 )

Recent downloads (6 months)
2 ( #295,806 of 2,432,285 )

How can I increase my downloads?


My notes