One interesting case where this theorem doesn’t apply would be if there are only finitely many possible outcomes. This is physically plausible: consider multiplying the maximum data density¹ by the spacetime hypervolume of your future light cone from now until the heat death of the universe.
One interesting case where this theorem doesn’t apply would be if there are only finitely many possible outcomes. This is physically plausible: consider multiplying the maximum data density¹ by the spacetime hypervolume of your future light cone from now until the heat death of the universe.
¹ <https://physics.stackexchange.com/questions/2281/maximum-theoretical-data-density>