I don’t really follow this. Things in Platonia or Tegmark level IV don’t have separate probabilities Any coherent mathematical structure is guaranteed to exist. (And infinite ones are no problem). So the probabilty of a infinite stack of metagods depends on the coherence of a stack of metagods being considered a coherent mathematical structure, and the likelihood of our living in a Tegmark IV.
I don’t see why the probability would decompose into the probability of its parts—a T-IV is all or nothing, as far as I can see. It actually contains very little information .. it isn’t a very fine-grained region in UniverseSpace.
My intuition is that universes with more metagods will be less common in the space of all that can possibly be. We exist in a given universe, which is perforce a universe that can possibly be; I’m trying to guess which one.
T-IV is already a large chunk of UniverSpace—it is everything that is mathematically possible. The T-IV question is more about how large a region of UnverseSpace the universe is, than about pinpointing a small region.
I don’t really follow this. Things in Platonia or Tegmark level IV don’t have separate probabilities Any coherent mathematical structure is guaranteed to exist. (And infinite ones are no problem). So the probabilty of a infinite stack of metagods depends on the coherence of a stack of metagods being considered a coherent mathematical structure, and the likelihood of our living in a Tegmark IV.
Ah. I was trying to—very vaguely—estimate the probability that we live in such a universe.
I hope that closes the inferential gap.
I don’t see why the probability would decompose into the probability of its parts—a T-IV is all or nothing, as far as I can see. It actually contains very little information .. it isn’t a very fine-grained region in UniverseSpace.
My intuition is that universes with more metagods will be less common in the space of all that can possibly be. We exist in a given universe, which is perforce a universe that can possibly be; I’m trying to guess which one.
T-IV is already a large chunk of UniverSpace—it is everything that is mathematically possible. The T-IV question is more about how large a region of UnverseSpace the universe is, than about pinpointing a small region.
Ah. Then I think we’ve been talking past each other for some time now.