By Schmidhuber, Jurgen
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Thus, if one adopts the belief that nondescribable measures do not exist, simply because there is no way of describing them, then one may discard this option. This would suggest considering semimeasures less dominant than µG , for instance, one of the most dominant approximable µ. 5 and inequality (43), µ(xy) goes to zero almost exponentially fast with growing KmG (xy). As in the case of µE , this may interest the philosophically inclined more than the pragmatists: yes, any particular universe history without short description necessarily is highly unlikely; much more likely are those histories where our lives are deterministically computed by a short algorithm, where the algorithmic entropy (compare ) of the universe does not increase over time, because a finite program conveying a finite amount of information is responsible for everything, and where concepts such as “free will” are just an illusion in a certain sense.
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The Fabric of Reality. Allen Lane, New York, NY, 1997.  M. J. Donald. Quantum theory and the brain. Proceedings of the Royal Society (London) Series A, 427:43–93, 1990.  H. Everett III. ‘Relative State’ formulation of quantum mechanics. Reviews of Modern Physics, 29:454–462, 1957.  R. V. Freyvald. Functions and functionals computable in the limit. Transactions of Latvijas Vlasts Univ. Zinatn. Raksti, 210:6–19, 1977.  P. G´acs. On the symmetry of algorithmic information. Soviet Math.
Algorithmic Theories of Everything by Schmidhuber, Jurgen
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