If you could ask a single yes/no question of someone from the year 2050, and get a truthful response, what would it be?
Well it certainly doesn't make things easier... But I guess that the utility of the answer would become proportional to 2|½-p|.
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I think 1-H(p) but with a single question it’s hard to think what this really means for a human.
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What's H? If they lie with probability 1, that's as good as telling the truth. And p = ½ gives no information. Ok, so let's assume the person from 2050 is omniscient enough to answer, "was reducing our emissions by X enough to save the planet?" And we have to pick X.
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