Eliezer S. Yudkowsky wrote:
PS: If you accept the Platonic existence of all possible mathematical objects (see Max Tegmark's "Parallel Worlds"), then the One True Prior Probability of an observation O, is the probability that a universal machine acting on fair coinflips produces a universe containing observers who see O, weighted by the number of observers.
(b) This happens because of a hidden assumption built into the formalism, wherein AIXI devises a Cartesian model of a separated environmental theatre, rather than devising a model of a naturalistic reality that includes AIXI.
Solomonoff got it *almost* right.
Of course, Solomonoff induction will still converge to any computable model of the True Prior that us physically embodied humans could use.
--
Eliezer S. Yudkowsky http://singinst.org/
Research Fellow, Singularity Institute for Artificial Intelligence
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