In other words, is the paradox resolved or not?

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Possible duplicate: physics.stackexchange.com/q/19970/2451 –  Qmechanic Jun 29 '12 at 9:53
Well, for finite bounded closed systems, there's Poincare recurrences... –  user10176 Jun 29 '12 at 9:59
No, it is considered irrelevant today. See, e.g., this paper. Of course, this does not imply that the problem of the foundations of statistical physics has been settled (in particular, the proper interpretation of probabilities in the theory). –  Yvan Velenik Jun 29 '12 at 14:08