 It was argued above that the proponent of transworld identity without non-trivial individual essences faces the prospect of bare (‘ungrounded’) identities across possible worlds. One such argument is Chisholm’s Paradox, which relies on the transitivity of identity to produce the result that a series of small changes in the properties of Adam and Noah leads to a world in which Adam and Noah have swapped their roles. However, the transitivity of identity generates additional problems concerning transworld identity, some of which have nothing particularly to do with role-switching possibilities or bare identities.