army1987 comments on Recognizing Intelligence - Less Wrong
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Not really. You can describe a diamond of pure carbon-12 at 0 K with much less information than that. (But IAWYC -- there should be some measure of ‘complexity I care about’ by which music would rank higher than both silence (zero information-theoretical complexity) and white noise (maximum complexity).)
How about the measures 'sophistication' or 'logical depth'? Alternately, you could take a Schmidhuber tack and define interestingness as the derivative of compression rate.