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Khoth comments on The Ultimate Newcomb's Problem - Less Wrong
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If that bothers you, how about instead of displaying the number, instead what you see is the number encrypted using a key known only to the lottery-runners and Omega?
It could be more interesting, though, if it was 7. That may better demonstrate the inconsistencies in mathematics that result from an incorrect hypothetical about your choice.
In a transparent Newcomb's, I can simply take one empty box and leave the other, if one box is empty, and take both boxes if they are both full.