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casebash comments on Avoiding doomsday: a "proof" of the self-indication assumption - Less Wrong
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The manner in C' depends on your reference class. If your reference class is everyone, then it remains 99%. If your reference class is survivors, then it becomes 50%.
Which shows how odd and arbitrary reference classes are.
I don't think it is arbitrary. I responded to that argument in the comment chain here and still agree with that. (I am the same person as user Unknowns but changed my username some time ago.)