 Objection 1: Not all probabilistic credence functions could be chance functions. The first objection denies (1). It’s due to Alan Hájek (2008). As Hájek notes, if a credence function \(c\) is defined on propositions about the chances themselves, it’s not obvious that any chance function will be defined on that proposition. If that’s right \(c\) is not a possible chance function. And his argument might be extended. We can assign a credence function on propositions concerning ethical matters, or mathematical matters, or aesthetic matters, or facts about the current time or the agent’s current location. But it is not clear that such a credence function could possibly be the chance function of any world, since it seems natural to think that chances cannot attach to these sorts of proposition. Pettigrew (2014b: 5.2.1) replies on Joyce’s behalf.