Authors
Alexander R. Pruss
Baylor University
Joshua Rasmussen
Azusa Pacific University
Abstract
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
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DOI 10.1093/acprof:oso/9780198729242.003.0004
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References found in this work BETA

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

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Citations of this work BETA

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

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