Janine Reinert

Any worlds semantics for intentionality has to provide a plenitudinous theory of impossibility: For any impossible proposition, it should provide a world where it is true. Hence, also any semantics for impossibility statements that extends Lewis’s concretism about possible worlds should be plenitudinous. However, several such proposals for impossibilist semantics fail to accommodate two kinds of impossibility that, albeit not unheard of, have been largely neglected in the literature on impossible worlds, but that are bound to arise in the Lewisian context. The proposals discussed here stop short of plenitude because they adhere to what Lewis occasionally referred to as ‘ontological truth’, as they lack the semantic ability to misrepresent ontological facts. The paper develops a framework for systematic misrepresentations on the basis of Mares’s situation-based account of impossible ‘worlds’, and which confines ‘ontological truth’ to possibility. It thus illustrates how a plenitude of impossibilities can be achieved.