Abstract

This paper introduces a new aporia, the aporia of omniscience. The puzzle consists of three propositions: (1) It is possible that there is someone who is necessarily omniscient and infallible, (2) It is necessary that all beliefs are historically settled, and (3) It is possible that the future is open. Every sentence in this set is intuitively reasonable and there are prima facie plausible arguments for each of them. However, the whole set {(1), (2), (3)} is inconsistent. Therefore, it seems to be that case that at least one of the propositions in this set must be false. I discuss some possible solutions to the problem and consider some arguments for and against these solutions.