So, we can rescue our utility function from the theorem if we are allowed to assign zero probability to arbitrary hypotheses that have no plausibility other than that they have not been absolutely ruled out. Such as the hypothesis that the laws of physics are valid at all times except on October 21, 2011.
Being allowed to do this would make the counterexample work.
So, we can rescue our utility function from the theorem if we are allowed to assign zero probability to arbitrary hypotheses that have no plausibility other than that they have not been absolutely ruled out. Such as the hypothesis that the laws of physics are valid at all times except on October 21, 2011.
Being allowed to do this would make the counterexample work.