 So designators that are rigid might fail to be causally grounded. Designators that are causally grounded might also fail to be rigid. You find an old painting. After engaging in some convoluted discussion about legal ownership, you decide to clarify your terms: “Let the expression ‘Originalowner’ designate, for any possible world w, the original owner in w of that painting” (you point at the painting). You have causally grounded ‘Originalowner’ by means of a baptismal ceremony; but the referent varies from world to world, depending on who first owned the painting. The term is not rigid.