Quote:
Originally Posted by kerry
Would there be any probability at all in a universe in which everything happened for a reason? Probability relies on the idea of chance. Could there be such a thing as a chance in a universe following reason? (reminds me of the film, The Music of Chance)
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Dialing Kuan ...
IIRC, randomness is unprovable. In every case of assumed randomness the only denial of the proposition is through exhaustive testing until a pattern is revealed. But lack of pattern may mean that the phenomenon is random or it may just mean the n+1 case needs to be tested. There are algorithms that it can be proven would take more time than entropy has allotted to the universe in order to test every possible pattern in order to prove randomness. An aleph-1 problem in Cantor's notation, IIRC.
So we must take the case of randomness vs nonrandomness on faith, as we must the provability of reality.
The rest is arithmetic.