blog.kennypearce.net

Omniscience and Simplicity

The end of the semester is fast approaching, which means an even more hectic academic schedule, followed by a vacation. This post will be a brief remark on Sobel's treatment of omniscience, which completes his interlude on divine attributes. Following this, I will leave off until after the holidays, at which point I will deal with the remainder of the book, which treats arguments against the existence of God, and also 'Pascalian' practical arguments for belief in God. The main puzzle Sobel finds with omniscience is one pushed by Patrick Grim. The thrust of the argument is this: (1) a...
Continue reading "Omniscience and Simplicity"

Explanatory Principles and Infinite Propositions

In the course of his discussion of cosmological arguments, Sobel argues against the Principle of Sufficient Reason and similar strong explanatory principles. In particular, he argues that even a weak principle like "there is a deductive explanation that has only true premises for every contingent truth" will result in modal collapse (p. 218). In Sobel's terminology, an argument 'deductively explains' its conclusion iff (1) the argument is sound, and (2) the conclusion does not entail the premises (p. 219; condition (2) applies to contingent conclusions only). Sobel now introduces the following two premises: (3) If there is any true contingent...
Continue reading "Explanatory Principles and Infinite Propositions"