Abstract
At first glance, impossible world semantics appear to be useful adaptations of normal modal logic. Proponents of impossible worlds argue, e.g., that in the context of metaphysical disagreement, impossible worlds would provide a key to modelling the respective dispute situation. The same philosophers also argue that we need impossible worlds to model what they consider to be the conceivability of logical impossibilities. With the help of Wittgenstein’s early philosophy, or, better said, with what I believe to be a visualisation of his ideas on nesting models for possibility, I develop some thoughts on the likely shared weaknesses of such arguments for nonnormal world approaches. Said goes hand in hand with the supplementary proposal of rethinking our conventional nesting models for possibility.