My formulation of those assumptions, as I’ve said, is entirely a prior claim.
You can’t gain non-local information using any method, regardless of the words or models you want to use to contain that information.
If you agree with those priors and Bayes, you get those assumptions.
You cannot reason as if you were selected randomly from the set of all possible observers. This allows you to infer information about what the set of all possible observers looks like, despite provably not having access to that information. There are practical implications of this, the consequences of which were shown in the above post with SSA.
You can’t say that you accept the prior, accept Bayes, but reject the assumption without explaining what part of the process you reject. I think you’re just rejecting Bayes, but the unnecessary complexity of your example is complicating the analysis. Just do Sleeping Beauty with the copies in different light cones.
It’s not a specific case of sleeping beauty. Sleeping beauty has meaningfully distinct characteristics.
This is a real world example that demonstrates the flaws with these methods of reasoning. The complexity is not unnecessary.
I’m asking for your prior in the specific scenario I gave.
My estimate is 2/3rds for the 2-Observer scenario. Your claims that “priors come before time” makes me want to use different terminology for what we’re talking about here. Your brain is a physical system and is subject to the laws governing other physical systems- whatever you mean by “priors coming before time” isn’t clearly relevant to the physical configuration of the particles in your brain.
The fact that I execute the same Bayesian update with the same prior in this situation does not mean that I “get” SIA- SIA has additional physically incoherent implications.
That’s surprisingly close, but I don’t think that counts. That page explains that the current dynamics behind phosphate recycling are bad as a result of phosphate being cheap- if phosphate was scarce, recycling (and potentially the location of new phosphate reserves, etc.) would become more economical.