Anthropic Bias Observation Selection Effects in Science and Philosophy Nick Bostrom



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W
e get a different answer than 1/2, however, if there are possible outside observer-moments that are included in . Let’s assume that the number and nature of the outsiders are independent of the outcome of the coin toss. Then an observer-moment observing that it is in the experiment (e.g.) thereby gets reason to increase its credence in the hypothesis (Tails) which entails that a greater fraction of all observer-moments in its reference class are in the experiment than does the rival hypothesis (Heads). In the limiting case where the number of outsiders (that are included in ) gets very large, OE yields .


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