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ciphergoth comments on Harry Potter and the Methods of Rationality discussion thread, part 5 - Less Wrong
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Something like a multiply-branching Universe in which those branches that turn out to contain paradoxes cease to exist?
Not "cease to exist", simply won't exist.
Think of the interference patterns of the double slit experiment. The wave-functions of universes with paradoxes cancel out to give zero probability to those collective sets of conditions.