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eirenicon comments on Avoiding doomsday: a "proof" of the self-indication assumption - Less Wrong
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I'm not sure about the transition from A to B; it implies that, given that you're alive, the probability of the coin having come up heads was 99%. (I'm not saying it's wrong, just that it's not immediately obvious to me.)
The rest of the steps seem fine, though.
It doesn't matter how many observers are in either set if all observers in a set experience the same consequences.
(I think. This is a tricky one.)