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Viliam_Bur comments on Building Phenomenological Bridges - Less Wrong
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I believe we know quite enough to consider is pretty unlikely that human brain stores an infinite number of binary descriptions of Turing machines along with their probabilities which are initialized by Somonoff induction at birth (or perhaps at conception) and later updated on evidence according to the Bayes theorem.
Even if words like "inifinity" or "incomputable" are not convincing enough (okay, perhaps the human brain runs the AIXI algorithm with some unimportant rounding), there are things like human-specific biases generated by evolutionary pressures -- which is one of the main points of this whole website.
Seriously, the case is closed.
Presumably any realizable version of AIXI, like AIXItl, would have to use a finite amount of computations, so no.
Right. However some of those could be due to improper weighting of some of the models, or poor priors, etc. I am not sure that the case is as closed as you seem to imply.