John von Neumann — "Anyone who attempts to generate random numbers by deterministic means is, of cou…"
Anyone who attempts to generate random numbers by deterministic means is, of course, living in a state of sin.
Anyone who attempts to generate random numbers by deterministic means is, of course, living in a state of sin.
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"It is just as important to know what not to do as it is to know what to do."
"The sciences do not try to explain, they hardly even try to interpret, they mainly make models. By a model is meant a mathematical construct which, with the addition of some verbal interpretations, de…"
"My own feeling is that the most important advances in the future will come from the interaction of mathematics with other sciences."
"The world is not logical, it is psychological."
"The brain is a logical machine, but it is not a computer."
A humorous but pointed remark on the inherent contradiction of trying to create true randomness with predictable algorithms.
Date: Mid-20th century
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True randomness cannot emerge from a fixed, predictable process. Deterministic algorithms follow rules — they produce sequences that appear random but are entirely predictable given the starting seed. Calling such output genuinely random is a convenient fiction. The quote captures a real mathematical paradox: computers, by design fully deterministic, cannot create true randomness, yet we rely on pseudorandom numbers constantly in statistics, cryptography, and simulation.
Von Neumann personally invented the middle-squares method, one of the first pseudorandom number algorithms, used for Monte Carlo simulations in nuclear weapons design at Los Alamos. He also established the logical foundations of modern computer architecture — inherently deterministic systems. The quote reflects his characteristic sharp wit alongside intellectual honesty: he deployed these flawed methods himself while never pretending they produced what they claimed to produce.
The 1940s and 1950s saw the first practical electronic computers emerge, creating an urgent need for random numbers to power Monte Carlo simulations essential to nuclear weapons design, statistical physics, and operations research. Hardware sources of true randomness were impractical at scale, forcing an uncomfortable compromise: deterministic machines generating fake randomness for real-world calculations. Von Neumann's quip captured the philosophical unease that defined early computational science.
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