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Vaniver comments on Probability and radical uncertainty - Less Wrong
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One aspect of what I consider the correct solution is that the only question that needs to be answered is "do I think putting a coin in the box has positive or negative utility", and one can answer that without any guess about what it is actually going to do.
What is your base rate for boxes being able to drive you mad if you put a coin in them?
Can you imagine any mechanism whereby a box would drive you mad if you put a coin in it? (I can't.)
Perhaps sticking a coin in it triggers the release of some psychoactive gas or aerosol?
Are there any psychoactive gases or aerosols that drive you mad?
I suppose a psychedelic might push someone over the edge if they were sufficiently psychologically fragile. I don't know of any substances that specifically make people mad, though.
I'm not a psychiatrist. Maybe? It looks like airborne transmission of prions might be possible, and along an unrelated path the box could go the Phineas Gage route.
Alternatively, aerosolized agonium, for adequate values of sufficiently long-lived and finely-tuned agonium.