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Jiro comments on Timelessness as a Conservative Extension of Causal Decision Theory - LessWrong
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Even using that notion of virtue, whether giving Omega the $100 benefits you only happens if Omega is trustworthy. So Omega's trustworthiness can still be a deciding factor.
Omega's trustworthiness mostly just means we can assign a degenerate probability of 1.0 to all information we receive from Omega.