
"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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