If you could ask a single yes/no question of someone from the year 2050, and get a truthful response, what would it be?
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Replying to @posco
It's quite interesting that this opportunity to receive a prescient, binary fact doesn't really offer much of any use. As an optimization problem, you'd want to maximise the expected differential of impact that knowledge would have on your life.
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Replying to @propensive @posco
François Armand Retweeted François Armand
false. You need to think globally. There's someone from 2050, so at least some humans survived. So you can learn how they survived, and use that to influence globally the path toward sustainability:https://twitter.com/fanf42/status/1192896905233256448 …
François Armand added,
François Armand @fanf42Replying to @fanf42 @posco(positive whatever the answer: no gives more power to radical shift and try to avoid that futur, hopefully forcing creativity under stress ; yes implies there's at least one way to succeed in that goal, and help keep motivation even in hard moments)1 reply 0 retweets 2 likes -
But you can do so very little with just one binary answer...
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Replying to @propensive @fanf42
Imagine how it changes if with probability p they lie.
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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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Replying to @propensive @fanf42
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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Replying to @propensive @fanf42
H is the usual name for Shannon Entropy: https://en.m.wikipedia.org/wiki/Entropy_(information_theory) … for a variable like this: -p*log(p)-(1-p)*log(1-p). Your formula is a well known upper bound on 1 - H(p).
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Nice! Bedtime reading! ;)
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