 To say that there is a transworld identity between A and B is to say that there is some possible world w1, and some distinct possible world w2, such that A exists in w1, and B exists in w2, and A is identical with B. (Remember that we are treating the actual world as one of the possible worlds.) In other words, to say that there is a transworld identity is to say that the same object exists in distinct possible worlds, or (more simply) that some object exists in more than one possible world.