 First, a rigid designator is used in a certain way in the actual world.  Given that meaning, it designates the same object with respect to all possible worlds, regardless of how this term is used, or not used, in those other possible worlds: for although we identify objects in other worlds by our own names, natives of some of these worlds use other names (Kripke 1980, p. 77; for discussion of objections, see Fitch 2004, pp. 103–4). 