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62 Post author: Eliezer_Yudkowsky 20 March 2008 06:18AM

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Comment author: Unknown 20 March 2008 10:02:34AM -2 points [-]

Psy-Kosh, I've already thought about that. Suppose the "ruleless" thing is picking a series of zeros and ones. There is no theorem of mathematics that as the series goes to infinity, there must exist a limit of the percentage of zeros and ones. It is possible that the proportion may wander back and forth from arbitrarily close to 100% zeros, and 100% ones (arbitrarily close, for example 99.9999%, not such that it reaches 100%, which would be a rule.) Nor does this wandering itself have to happen in any particular rule based way; in could be like a random walk. And at still other times (more or less random) it could pick the zeros and ones randomly. And so on.