Metalinguistic “Troubles” with Kripkean Proper Names

Abstract

Proper names interpreted as rigid designators do not allow us to formulate metalinguistic statements of the form ‘NN might not have been named “NN”’. All we can do is to show what we are trying to say. But we cannot properly formulate such a metalinguistic statement about a rigid name. The rigidity of the name establishes a relationship with its bearer that is much stronger than the contingent relationship that is supposed to exist in the natural languages between the name and its bearer. The sentence is intuitively true as expressed in natural languages, but once we translate it, if possible, into Kripkean formal semantics it is false because once the individual is rigidly named, she cannot have been named otherwise; or even worse, as I suspect, the whole sentence is untranslatable, because in Kripkean formal semantics there is no possible world in which she would not have had the name she rigidly has. This problem in Kripkean semantics could well be termed, as Wittgenstein would say, an ineffability. Kripkean semantics makes the actual contingent property anyone has of bearing a proper name ineffable, notwithstanding it is effable in natural languages. Keywords: rigid names, metalinguistic statements, rigid quoted names, ineffability