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DanielLC comments on Iterated Sleeping Beauty and Copied Minds - Less Wrong
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Even assuming this argument is correct, Sleeping Beauty doesn't know everything exactly when she wakes up, and it won't be the same. For example, she has a 50% chance of waking up facing right if she wakes up once, but a 75% chance if she wakes up twice. If you include everything she experiences, she's pretty much exactly twice as likely to get that experience if she wakes up twice.