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calef comments on The Interrupted Ultimate Newcomb's Problem - Less Wrong
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What's to prevent omega from performing the simulation of you wherein a sign appears reading "INDEPENDENT SCENARIO BEGIN", and he tells you "This is considered an artificially independent experiment. Your algorithm for solving this problem will not be used in my simulations of your algorithm for my various other problems. In other words, you are allowed to two-box here but one-box Newcomb's problem, or vice versa."?
The usual formulation of Omega does not lie.