Caledonian2 comments on BHTV: Jaron Lanier and Yudkowsky - Less Wrong
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That's not the right probability to be concerned about
Emphasis added by me.
Again, you're asking about the wrong thing. Limiting the analysis to a single universe misses the point and -- as you rightfully object -- reduces the hypothesis to what is nearly a necessarily false statement. But there's no reason to limit analysis to a single universe.
Can you even state, explicitly, what it is that you mean by 'universe'?