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have the advantage." Claude Shannon [Tribus & Mclrvine 1971]. I find the last quote very reassuring. In my own opinion, though less well known than Einstein, Von Neumann ranked close to Einstein in terms of genius. Like Einstein, he didn't merely bring in a single profound new idea; but seemed to change
st is in that of finance. The earliest work on random walks was that done by the mathematician Bachelier on stock prices. Bachelier's work predates Einstein's own random walk model of Brownian motion. For half a century Bachelier's work was largely forgotten. The use of random walks in finance was rekin
ystems. We should expect rapidly diminishing explanatory returns from increasingly explicit microfoundations. [Wright 2009] And a shorter one from Von Neumann, reported by Claude Shannon: "My greatest concern was what to call it. I thought of calling it 'information', but the word was overly used, so I de
is a science historian, Joseph Pellegrino University Professor and co- founder of the Black Hole Initiative at Harvard University, and the author of Einstein's Clocks and Poincaré’s Maps: Empires of Time. In his second-best book, the great medieval mathematician al-Khwarizmi described the new place-based
log communication degraded with distance, analog computing (like the Differential Analyzer) degraded with time, accumulating errors as it progressed. Von Neumann presented in 1952 a result corresponding to Shannon’s for computation (they had met at the Institute for Advanced Study, in Princeton), showing that
is a science historian, Joseph Pellegrino University Professor and co- founder of the Black Hole Initiative at Harvard University, and the author of Einstein's Clocks and Poincaré’s Maps: Empires of Time. In his second-best book, the great medieval mathematician al-Khwarizmi described the new place-based
log communication degraded with distance, analog computing (like the Differential Analyzer) degraded with time, accumulating errors as it progressed. Von Neumann presented in 1952 a result corresponding to Shannon’s for computation (they had met at the Institute for Advanced Study, in Princeton), showing that
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