Two Mereological Arguments Against the Possibility of an Omniscient Being

Philo 9 (1):62-72 (2006)
  Copy   BIBTEX

Abstract

In this paper I present two new arguments against the possibility of an omniscient being. My new arguments invoke considerations of cardinality and resemble several arguments originally presented by Patrick Grim. Like Grim, I give reasons to believe that there must be more objects in the universe than there are beliefs. However, my arguments will rely on certain mereological claims, namely that Classical Extensional Mereology is necessarily true of the part-whole relation. My first argument is an instance of a problem first noted by Gideon Rosen and requires an additional assumption about the mereological structure of certain beliefs. That assumption is that an omniscient being’s beliefs are mereological simples. However, this assumption is dropped when I present my second argument. Thus, I hope to show that if Classical Extensional Mereology is true of the part-whole relation, there cannot be an omniscient being.

Other Versions

No versions found

Similar books and articles

Pieces of mereology.Andrzej Pietruszczak - 2005 - Logic and Logical Philosophy 14 (2):211-234.
Composition, identity, and emergence.Claudio Calosi - 2016 - Logic and Logical Philosophy 25 (3):429-443.
Classical mereology is not elementarily axiomatizable.Andrzej Pietruszczak - 2015 - Logic and Logical Philosophy 24 (4):485-498.
Plenty of Room for Multilocation.Jeroen Smid - 2021 - Erkenntnis 88 (6):1-14.
The Special Composition Question and Natural Fusion.Renato Rocha - 2019 - Proceedings of the 3Rd Filomena Workshop.
Mereology and modality.Gabriel Uzquiano - 2014 - In Shieva Kleinschmidt, Mereology and Location. Oxford: Oxford University Press. pp. 33-56.

Analytics

Added to PP
2011-01-09

Downloads
1,436 (#30,040)

6 months
213 (#51,188)

Historical graph of downloads
How can I increase my downloads?

Author's Profile

Joshua Spencer
University of Wisconsin, Milwaukee

Citations of this work

All Things Must Pass Away.Joshua Spencer - 2012 - Oxford Studies in Metaphysics 7:67.
Confining Composition.Hud Hudson - 2006 - Journal of Philosophy 103 (12):631-651.
Problems with plurals.Joshua Rasmussen & Alexander R. Pruss - 2015 - Oxford Studies in Metaphysics 9.

Add more citations

References found in this work

Counterfactuals.David Lewis - 1973 - Malden, Mass.: Blackwell.
Demonstratives: An Essay on the Semantics, Logic, Metaphysics and Epistemology of Demonstratives and other Indexicals.David Kaplan - 1989 - In Joseph Almog, John Perry & Howard Wettstein, Themes From Kaplan. New York: Oxford University Press. pp. 481-563.
Naming and Necessity.Saul Kripke - 1980 - Critica 17 (49):69-71.
Naming and Necessity.Saul Kripke - 2003 - In John Heil, Philosophy of Mind: A Guide and Anthology. New York: Oxford University Press.

View all 24 references / Add more references