Also, the math of AIXI assumes the environment is separably divisible—no matter what you lose, you get a chance to win it back later.
Does this mean that we don’t even need to get into anything as esoteric as brain surgery – that AIXI can’t learn to play Sokoban (without the ability to restart the level)?
I gesture vaguely at Morality as Fixed Computation, moral realism, utility-function blackboxes, Learning What to Value, discerning an initially-uncertain utility function that may not be straightforward to get definitive information about.