How much of that 0.1% comes from worlds where your outside view argument is right vs worlds where your outside view argument is wrong?
This kind of stuff is pretty complicated so I might not be making sense here, but here’s what I mean: I have some distribution over what model to be using to answer the “are we at HoH” question, and each model has some probability that we’re at HoH, and I derive my overall belief by adding up the credence in HoH that I get from each model (weighted by my credence in it). It seems like your outside view model assigns approximately zero probability to HoH, and so if now is the HoH, it’s probably because we shouldn’t be using your model, rather than because we’re in the tiny proportion of worlds in your model where now is HoH.
I think this distinction is important because it seems to me that the probability of HoH give your beliefs should be almost entirely determined by the prior and HoH-likelihood of models other than the one you proposed—if your central model is the outside-view model you proposed, and you’re 80% confident in that, then I suspect that the majority of your credence on HoH should come from the other 20% of your prior, and so the question of how much your outside-view-model updates based on evidence doesn’t seem likely to be very important.
How much of that 0.1% comes from worlds where your outside view argument is right vs worlds where your outside view argument is wrong?
This kind of stuff is pretty complicated so I might not be making sense here, but here’s what I mean: I have some distribution over what model to be using to answer the “are we at HoH” question, and each model has some probability that we’re at HoH, and I derive my overall belief by adding up the credence in HoH that I get from each model (weighted by my credence in it). It seems like your outside view model assigns approximately zero probability to HoH, and so if now is the HoH, it’s probably because we shouldn’t be using your model, rather than because we’re in the tiny proportion of worlds in your model where now is HoH.
I think this distinction is important because it seems to me that the probability of HoH give your beliefs should be almost entirely determined by the prior and HoH-likelihood of models other than the one you proposed—if your central model is the outside-view model you proposed, and you’re 80% confident in that, then I suspect that the majority of your credence on HoH should come from the other 20% of your prior, and so the question of how much your outside-view-model updates based on evidence doesn’t seem likely to be very important.