
"Anyone who considers arithmetical methods of producing random digits is, of course, in a state
of sin." John von Neumann's famous dictum points an accusing finger at all who set their ordered minds
to engender disorder. Much as in times past thieves, pimps, and actors carried on their profession with an
uneasy conscience, so in this day scientists who devise random number generators suffer pangs of guilt. George
Marsaglia, perhaps the preeminent worker in the field, quips when he asks his colleagues, "Who among us has not sinned?"
Marsaglia's work at the Supercomputer Computations Research Institute at Florida State University is
well-known. Inasmuch as Marsaglia's design and testing of random number generators depends on computation,
and inasmuch as computation is fundamentally arithmetical, Marsaglia is by von Neumann's own account a sinner.
Working as he does on a supercomputer, Marsaglia is in fact a gross sinner. This he freely admits. Writing of
the best random number generators he is aware of, Marsaglia states, "they are the result of arithmetic methods
and those using them must, as all sinners must, face Redemption
[sic] Day. But perhaps with better
understanding we can postpone it." Despite the danger of being branded a heretic, I want to argue that randomness entails no moral
deficiency. I will even advocate that random number generators be constructed with reckless abandonthough
a reckless abandon that is well thought out. Randomness, properly to be randomness, must leave nothing
to chance. It must look like chance, like a child of the primeval chaos. But underneath a keen intelligence must
be manipulating and calculating, taking advantage of this and that expedient so as systematically to concoct
confusion. I am reminded of the photo-journalists in Vietnam who rearranged scenes of carnage simply to enhance
the sense of indiscriminate violence. Here, of course, there was a moral fault, but not with randomness per se.
Suffice it to say, randomness, to be randomness, must be designed. |
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