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Caledonian2 comments on GAZP vs. GLUT - Less Wrong

33 Post author: Eliezer_Yudkowsky 07 April 2008 01:51AM

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Comment author: Caledonian2 09 April 2008 11:07:43AM 1 point [-]

It seems that the dust should generate observer-moments with probability according to their algorithmic complexity, which would produce many more chaotic than normal ones.

The full version of the Library of Babel can be generated by "walking" through the versions with a limited number of texts, each of finite length. It contains every possible string that can be composed of a given set of symbols - infinitely many strings, each infinitely long. Any finite string that can appear in the Library, does appear - infinitely many times.

In the English version, in any of the truncated (and sufficiently long) versions of the Library, the sequence "AB" is much more common than "CDEFG". It doesn't matter whether the texts are ten thousand letters long, or ten billion - the first is less complex and thus more probable than the second.

In the FULL version, "AB" and "CDEFG" are equally probable. Each appears infinitely often, but the order of the category of infinities that they belong to is the same.