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Soki comments on Counterfactual Calculation and Observational Knowledge - Less Wrong
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It may not be what wedrifid meant, but does Omega always appear after you see the result on the calculator?
Does Omega always ask :
"Consider the counterfactual where the calculator displayed opposite_of_what_you_saw instead of what_you_saw" ?
If that is true, then I guess it means that what Omega replaces your answer with on the test sheet in the worlds where you see "even" is the answer you write on the counterfactual test sheet in the worlds where you see "odd". And the same with "even" and "odd" exchanged.