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Prismattic comments on The self-fooling problem. - Less Wrong Discussion
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I've continued asking people about this problem offline, and I'm finding that they are not very good at assuming the least convenient possible world, but they are very good at spotting loopholes in the problem as formulated. Another classic:
"I would put the coin in a sealed envelope. On the envelope I would record the events prior to my memory being wiped. Then I would leave it in plain sight on my nightstand."