From Wolfgang Schwarz's Belief Dynamics Across Fission:

Fred’s home planet, Sunday, is surrounded by two moons, Monday and Tuesday. Tonight, while Fred is asleep, his body will be scanned and destroyed; then a signal is sent to both Monday and Tuesday where he will be recreated from local matter.

A lot of ink has been spent on how to describe scenarios like this. Should we say that Fred will find himself both on Monday and on Tuesday? Which of the persons awakening on the two moons is identical to the person going to sleep on Sunday? In this paper, I want to look at a different question: what should Fred’s successors believe when they awaken on Monday and on Tuesday? More precisely, how should their beliefs be related to Fred’s beliefs before he went to sleep on Sunday?

Also see: Sleeping Beauty problem.