Against God of the truth-value gaps

Abstract

Beall and Cotnoir propose that ‘God can create an unliftable stone’ is a truth-value gap (neither true nor false). However, this yields a revenge paradox on whether God can eschew gaps. Can God avoid gappy ascriptions of power? Either way, God’s power seems to have limits. In response, it may be said that ascribing God the power to avoid gaps is itself gappy – it concerns a power that God neither has nor lacks. Yet this ends up being inconsistent, for it implies that God definitely lacks that power. Following Aquinas, perhaps Beall and Cotnoir could accept this lack and still uphold omnipotence, suggesting that the power to avoid gaps is impossible for God. Yet the Aquinian stratagem is enough to block the original paradox, which saps the motivation to proffer truth-value gaps in addition. I conclude that the gappy solution is either inadequate or insufficiently motivated.