By the way, I notice that the thought experiment, as phrased, doesn’t quite require the knowledge of the digit of pi, if Omega indeed states that the situation is predicated on its oddness, it even states that it’s odd, and there is no counterfactual version of yourself, so computation of the digit becomes a ritual of cognition without purpose. There is likely a restatement that retains everyone’s interpretation, but in the current phrasing the role of the logical uncertainty in it seems to be lost.
By the way, I notice that the thought experiment, as phrased, doesn’t quite require the knowledge of the digit of pi, if Omega indeed states that the situation is predicated on its oddness, it even states that it’s odd, and there is no counterfactual version of yourself, so computation of the digit becomes a ritual of cognition without purpose. There is likely a restatement that retains everyone’s interpretation, but in the current phrasing the role of the logical uncertainty in it seems to be lost.