In regard to AIXI: One should consider more carefully the fact that any self-modifying AI can be exactly modeled by a non-self modifying AI.
One should also consider the fact that no intelligent being can predict its own actions—this is one of those extremely rare universals. But this doesn’t mean that it can’t recognize itself in a mirror, despite its inability to predict its actions.
In regard to AIXI: One should consider more carefully the fact that any self-modifying AI can be exactly modeled by a non-self modifying AI.
One should also consider the fact that no intelligent being can predict its own actions—this is one of those extremely rare universals. But this doesn’t mean that it can’t recognize itself in a mirror, despite its inability to predict its actions.