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Vaniver comments on An Intuitive Explanation of Solomonoff Induction - Less Wrong
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It is positive bias (in that this isn't the best way to acquire knowledge), but there's a secondary effect: the value of knowing whether or not the magic sugar water cures his hayfever is being traded off against the value of not having hayfever.
Depending on how frequently he gets hayfever, and how long it took to go away without magic sugar water, and how bothersome it is, and how costly the magic sugar water is, it may be better to have an unexplained ritual for that portion of his life than to do informative experiments.
(And, given that the placebo effect is real, if he thinks the magic sugar water is placebo, that's reason enough to drink it without superior alternatives.)
Agree with this. Knowing the truth has a value and a cost (doing the experiment).
I recently heard something along the lines of: "We don't have proof that antihistamines work to treat anaphylaxis, because we haven't done the study. But the reason we haven't done the study is because we're pretty sure the control group would die."