 Kripke (1980 pp. 11–15) points out that there are problems with this attempt to accommodate rigidity. Some sentences have no modal operators. When we evaluate these sentences with respect to other worlds, we do not seem to admit that the designatum changes, as it would if names were non-rigid descriptions taking the proper scope in modal contexts. Thus, we can describe a possible world in which Petrarch dies as an infant. With respect to such a world, would ‘Petrarch is never famous’ be true? It seems so. But on the proposal in question, the sentence would say the same as ‘The famous humanist most closely associated with the Italian Renaissance is never famous’, which is false with respect to any world. Also, it seems that we can make names appear inside the scope of a modal operator: “It might have been the case that: Petrarch never became famous.” This would apparently be impossible to do on the view in question, but we seem to be able to do it. On the basis of such considerations, Kripke rejects this proposal for accommodating rigidity within descriptivism.