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All is forgiven
Posted by Tony on 8th March 2010 at 22:42:55
For some time I've been critical of the role played in removing attention from the edge of chaos–border of order by a 1993 paper for which Santa Fe Institute's Melanie Mitchell was the lead author.

Over the last year, my ongoing cellular automata research (discussed in the large thread below) has convinced me that what we have is not so much a boundary between opposites (order and chaos) as a zone of synergy between complementary roles for the same iteration rule. Now I see, hopefully more clearly, that the extreme sensitivity to initial conditions which defines chaos is also the method of rapidly exploring combinatorial possibilities from which unexpected order/organisation occasionally emerges and that such orderly/locally-predictable processes in turn accelerate the spread of chaos. (This all sounds far too much like the long view of Jedi v Sith, so I'll leave discussing my very recent rediscovery of Mirek's Star Wars rule for another day.)

But none of that overcomes my basic concern with the 1993 paper that what was basically a failure to obtain data needed to reject a null hypothesis was greatly over interpreted. It took until half way through Mitchell's new Complexity: a guided tour for the quote that could not have expressed my own feelings more accurately: "(...) whatever its other merits might be, we cellular-automata addicts can all agree that (Stephen Wolfram's A New Kind of Science) provided a lot of welcome publicity for our obscure passion."

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