Abstract
Cumming (2008) uses a puzzle about belief ascription to argue against a Millian semantics, and in favor of a semantics on which names are assigned denotations relative to a shiftable variable assignment. I use Cumming's puzzle to showcase the virtues of a rival, broadly Stalnakerian, treatment of attitude ascriptions that safeguards Millianism. I begin by arguing that Cumming's solution seems unable to account for substitutivity data that helps constitute the very puzzle he uses to motivate his account. Once the substitutivity data is acknowledged, the puzzle actually seems to strengthen, rather than weaken, the Millian position. I then argue that the real force of the puzzle is to place special constraints on our accounts of de re belief ascription. To help bring out the nature of those constraints, I connect aspects of Cumming's puzzle to more familiar problems about belief ascription raised by Quine. I then defend three theses making up a skeletal account of de re belief ascription that promises to cope naturally with the variants of Cumming's puzzle, and integrate them into a broader theory of de re intensionality.