What does nihilism tell us about modal logic?

Abstract

Brauer (Philos Stud 179:2751–2763, https://doi.org/10.1007/s11098-022-01793-7, 2022) has recently argued that if it is possible that there is nothing, then the correct modal logic for metaphysical modality cannot include . Here, I argue that Brauer’s argument is unsuccessful; or at the very least significantly weaker than presented. First, I outline a simple argument for why it is not possible that there is nothing. I note that this argument has a well-known solution involving the distinction between truth in and truth at a possible world. However, I then argue that once the semantics presupposed by Brauer’s argument is reformulated in terms of truth at a world, we have good reasons to think that a crucial semantic premise in Brauer’s argument should be rejected in favour of an alternative. Brauer’s argument is, however, no longer valid with this alternative premise. Thus, plausibly Brauer’s argument against is only valid, if it is not sound.