Millianism and Descriptivism are without question the two most prominent views with respect to the semantics of proper names. However, debates between millians and descriptivists have tended to focus on a fairly narrow set of linguistic data and an equally narrow set of problems, mainly how to solve Frege’s puzzle and how to guarantee rigidity. In this talk, I will focus on a set of data points that have been given less attention in these debates—namely so-called predicative uses, bound uses, and shifted uses of names. I show that these data points seem to favor a descriptivist analysis over a millian analysis, but then introduce an alternative view of names that not only provides a simple and elegant way of dealing with the data, but also retains rigidity and avoids the problems raised by Frege’s puzzle. This is a view where names are treated as variables, also sometimes referred to as Variabilism.