 For example: What’s missing in ignorance cases is an interesting centered belief—it’s a state of believing P for an interesting centered proposition P. In the messy shopper example, Perry’s realization puts him in the belief relation to the property being the messy shopper (or to the corresponding centered-worlds proposition). In the case of the two gods, the gods are belief-related to all the right boring world-occupancy properties, but they’re not belief-related to all the right interesting properties. The manna-throwing god on the tallest mountain, for example, isn’t belief-related to being on the tallest mountain or throwing manna.