I don't believe that a random number generator is possible.
Any machine is still going to be bound by the laws of physics, and the formation of the particles at the moment of the big bang (or whatever the hell you believe) and therefore is predetermined.
I also don't believe in predetermination. No matter how much one can calculate the events and therefore the formation of the particles at any given moment in time there is still the question of why anything is the way it is. Even if every particle in the universe was uniform and aligned one could argue that this fact, in itself, is very random.
So, to answer your question:
I believe that a human can generate random numbers just as well as a machine because everything is relative. Even if I were to just name off a bunch of twos, I think that in itself would be fairly random, considering the fact that I had an infinite number of numbers to choose from.
The only exception to this rule is Tom Cruise. He is completely fugging predictable and lame.
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