Quote:
Originally Posted by Botnst
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.
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I think my question is a little different. Rolling dice has a pattern in the long term but the chance of any particular roll turning out a certain way is predictable only as a probability. Are you saying there are not probable events? Are you saying that we don't know if there are probable events? Aren't many of our practices based on the assumption that there are probable events. Is this strictly a matter of faith?
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