If I initially divide the state space into solid colours, and then Omega asks if the bead could be striped, then I would say that’s a form of new information—specifically, information that my initial assumption about the nature of the state space was wrong. (It’s not information I can update on; I have to retrospectively change my priors.)
I think our only disagreement is semantic.
If I initially divide the state space into solid colours, and then Omega asks if the bead could be striped, then I would say that’s a form of new information—specifically, information that my initial assumption about the nature of the state space was wrong. (It’s not information I can update on; I have to retrospectively change my priors.)
Apologies for the pointless diversion.
An ideal model of the real world must allow any miracle to happen, nothing should be logically prohibited.