[Trantor]

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Sometimes I wonder if part of your problem is that you don't realize that standard deviations converge faster than means. Thus chance does bring order.

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Doesn't your first sentence relate to the estimates obtained from sampling a distribution, ie the convergence of the values obtained via sampling to the actual values of the distribution. If so, how does this relate to the development in time of any system and, in particular, with a system developing in time a more ordered state through chance events?