Shane Legg wrote:
Hi Cliff,
And if the "compressibility of the Universe" is an assumption, is
there a way we might want to clarify such an assumption, i.e., aren't
there numerical values that attach to the *likelihood* of gravity
suddenly reversing direction; numerical values attaching to the
likelihood of physical phenomena which spontaneously negate like the
chess-reward pattern; etc.?
This depends on your view of statistics and probability.  I'm a
Bayesian and so I'd say that these things depend on your prior
and how much evidence you have.  Clearly the evidence that gravity
stays the same is rather large and so the probability that it's
going to flip is extremely super hyper low and the prior doesn't
matter to much...
To be specific: The Kolmogorov complexity of a constant universe is less, so the prior probabilities of universes that are consistent with ours up until now, but then suddenly flip tomorrow, are lower under Solomonoff's universal prior. I think Jurgen has also pointed this out.
(http://www.idsia.ch/~juergen/)

--
Eliezer S. Yudkowsky http://singinst.org/
Research Fellow, Singularity Institute for Artificial Intelligence

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