Abstract

According to many actualist theories of modality, possible worlds should be identified with maximal and consistent sets of actually existing propositions called "world-stories". A set of propositions is said to be maximal if and only if for every (actually existing) proposition P , either P or its negation belongs to the set. In my talk, I will claim that this conception of maximality is problematic in case what has to be represented by a world-story is the possible non existence of an actual individual. A representation of the possible non existence of an actual individual is either a representation that "encodes" the explicit information that the individual does not exist or a representation that does not contain any information about the individual in question. The former case corresponds to a world-story A that contains a proposition according to which a certain actually existing object, say O, does not exist, the latter case to a world-story B that simply does not contain any proposition about O. I will claim, however, that the first way is not good for the actualist (had A been the true world-story, something directly about a possible individual would have been true) while the second conflicts with the standard notion of maximality given above. In order to fix this problem, I will first propose to characterize the notion of "actual object that would have existed, had a certain set of propositions been true". I will then recursively define an alternative conception of maximality ("local maximality") that can be applied to world-stories aiming to represent, in an actualist acceptable way, the possible non-existence of an actual object