Martin LembkeCorresponding author

Grim, omniscience, and Cantor’s theorem

Article
17/2 - Fall 2012, pages 211-223
Date of online publication: 07 août 2015
Date of publication: 30 décembre 2012

Abstract

Although recent evidence is somewhat ambiguous, if not confusing, Patrick Grim still seems to believe that his Cantorian argument against omniscience is sound. According to this argument, it follows by Cantor’s power set theorem that there can be no set of all truths. Hence, assuming that omniscience presupposes pre- cisely such a set, there can be no omniscient being. Reconsidering this argument, however, guided in particular by Alvin Plantinga’s critique thereof, I find it far from convincing. Not only does it have an enormously untoward side effect, but it is self-referentially incoherent as well.

Cite this article

Lembke, Martin. "Grim, Omniscience, and Cantor’s Theorem." Forum Philosophicum 17, no. 2 (2012): 211–23. doi:10.35765/forphil.2012.1702.14.