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Morendil comments on Conditioning on Observers - Less Wrong
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What is supposed to happen, in "Probabilistic Sleeping Beauty", if the coin comes up heads and the die doesn't come up k?
You're woken with a big sign in front of you saying "the experiment is over now", or however else you wish to allow sleeping beauty to distinguish the experimental wakings from being allowed to go about her normal life.
Failing that, you are never woken; it shouldn't make any difference, as long as waking to leave is clearly distinguished from being woken for the experiment.