pedanterrific comments on The self-fooling problem. - Less Wrong Discussion
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Fan of Saw, are we?
Anyway, turn the problem around: instead of saying you win if you find the coin, rather say you meet the high-handed enemy if you don't find the coin.
Alternatively: build a box too painful for a human to open. Leave it on the kitchen table. Hide the coin somewhere else. Laugh at the misfortunes of your future self and/or worst enemy.
Hmmm...But don't the rules (especially as clarified here) specify that your future self will be able replicate any chain of reasoning you use? I doubt a trick like this would work, for the same reason any ordinary hiding place wouldn't work: Your future self would retrace your cognitive steps.
Never seen it actually...
Warning: not for the faint of heart, overly empathetic, pregnant, those who may become pregnant, or anyone with phobias, anxiety disorders or stress disorders of any kind.
That said, I thought it was pretty good. (The first one, anyway- the sequels devolved into gorn.) In case it hasn't become clear from context, the connection is that the movies are famous for portraying very similar situations to what you describe - the key that unlocks the bomb collar is hidden somewhere in a pit filled with hypodermic needles, for instance.