Beall and Cotnoir (2017) argue that theists may accept the claim that God's omnipotence is fully unrestricted if they also adopt a suitable nonclassical logic. Their primary focus is on the infamous Stone problem (i.e., whether God can create a stone too heavy for God to lift). We show how unrestricted omnipotence generates Curry‐like paradoxes. The upshot is that Beall and Cotnoir only provide a solution to one version of the Stone problem, but that unrestricted omnipotence generates other problems which (...) they do not adequately address. (shrink)

Traditional monotheism has long faced logical puzzles. We argue that such puzzles rest on the assumed logical truth of the Law of Excluded Middle, which we suggest there is little theological reason to accept. By way of illustration we focus on God's alleged stone problem, and present a simple but plausible ‘gappy’ framework for addressing this puzzle. We assume familiarity with the proposed logic but an appendix is offered as a brief review.

The Pinocchio paradox poses one dialetheia too many for semantic dialetheists (Eldridge-Smith 2011). However, Beall (2011) thinks that the Pinocchio scenario is merely an impossible story, like that of the village barber who shaves just those villagers who do not shave themselves. Meanwhile, Beall maintains that Liar paradoxes generate dialetheia. The Barber scenario is self-contradictory, yet the Pinocchio scenario requires a principle of truth for a contradiction. In this and other respects the Pinocchio paradox is a version of the Liar, (...) unlike the Barber. One wonders why some Liars would be impossible if others generate dialetheias. (shrink)

Anselmian theists, for whom God is the being than which no greater can be thought, usually infer that he is an omniscient, omnipotent and omnibenevolent being. Critics have attacked these claims by numerous distinct arguments, such as the paradox of the stone, the argument from God's inability to sin, and the argument from evil. Anselmian theists have responded to these arguments by constructing an independent response to each. This way of defending Anselmian theism is uneconomical. I seek to establish a (...) new defence which undercuts almost all the existing arguments against Anselmian theism at once. In developing this defence, I consider the possibility that the Anselmian God is not an omniscient, omnipotent and omnibenevolent being. (shrink)

In this discussion note we argue, contrary to the thrust of a recent article by Jenann Ismael, that resolving the paradox of predictability does not require denying the possibility of a natural oracle, and thus stands in no need of the response that she proposes.