As regards the question of what matters in survival two views have been identified: on the one hand, we have the view that what matters is identity (the so-called ?commonsense view?) and, on the other hand, we have the view that what matters is the holding of certain psychological connections between various mental states over time (the relation R). Several attempts have tried to reconcile these two views involving the so-called ?multiple occupancy view? or ?cohabitation thesis?. Even if the latter (...) comes in several formulations, common elements are, positing the appropriateness of a description of the fission case according to which the post-fission persons existed prior to fission and also, that what determines that two persons who exist at a certain time are distinct can be facts about what is the case at other times. The paper discusses three of the most influential formulations of the multiple occupancy view, which intend to reconcile identity with what matters, and argues that for various reasons these at least do not work in this regard. (shrink)