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PhilGoetz comments on Poll: What value extra copies? - Less Wrong
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This is very disturbing. But I don't think the set of all possible future yous has no information. You seem to be assuming it's a discrete distribution, with 1 copy of all possible future yous. I expect the distribution to be uneven, with many copies clustered near each other in possible-you-space. The distribution, being a function over possible yous, contains even more information than a you.