@ElliotGlazer There's also ambiguity in what is meant by "provable", and I would be curious if people who select options involving provability have opinions about what theory the statements need to be (dis)proved/provable in.
Everyone must privately press either red or blue button. If >50% press blue, all survive. Else, blue-pressers die and red-pressers survive. Let p be your predicted PDF for the fraction who press blue. What is p(0.5) / (2·∫from 0 to 0.5 of p(x)dx)? (e.g. uniform on [0,1] gives 1)
"The AI will talk you into letting it out of the box" is coming in a distant third among reasons AI boxing doesn't work, behind "you won't actually put the AI in a box" and "the AI will simply leave your box without consulting you".
months in order of length*:
1-6 (tie): January, May, July, August, October, December
7: March
8: November
9-11 (tie): April, June, September
12: February
*accuracy of this list varies by jurisdiction
@ElliotGlazer Though most likely there is an asymptotic fraction of machines that halt for any reasonable model of computation that wasn't designed to make this false.