 Assuming that Kripke’s arguments against widescopism are successful, it might appear that rigid and nonrigid designators differ in content. Thus, any statement S containing a proper name cannot have the same content as a statement S′ that differs from S just in the respect that a proper name in S is replaced by a non-rigid designator in S′. Following Stanley (whose precise formulations differ slightly from this and from each other: 1997a, pp. 568–9; 1997b, p. 135), we might call this the Rigidity Thesis.