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To a first approximation I don't think it makes a difference, but it does add some logical uncertainty. Also, intuitively I want to be able to use anthropic reasoning to say "there is only a tiny chance that the universe would have condition X, but I'm not surprised by X because without X observers such as us won't exist", but I think doing this implies I have to give a different estimate if red = bomb.
Hmm, that's an interesting angle on the issue, I didn't quite realize that was the motivation here.
I would be surprised by our existence if that was the case, and not further surprised by observation of X (because I already observed X by the way of perceiving my existence).
Let's say I remember that there was an strange, surpri... (read more)