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Why is it impossible to produce truly random numbers?
I don't agree that a truly random number is philosophical. A number can't be random, but a sequence of numbers can be. The way my prof who taught me this phrased it was "is 2 random?" It's a nonsensical question. So for a sequence of numbers to be random, there is a definition that is accepted in information theory. The definition of a random sequence is that it is the shortest definition of itself. E.g. you can't compress the data in it at all.