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“It may be appropriate to quote a statement of Poincare, who said (partly in jest no doubt) that there must be something mysterious about the normal law since mathematicians think it is a law of nature whereas physicists are convinced that it is a mathematical theorem.”
Mark Kac, Statistical Independence in Probability, Analysis, and Number Theory
“To exist (in mathematics), said Henri Poincaré, is to be free from contradiction. But mere existence does not guarantee survival. To survive in mathematics requires a kind of vitality that cannot be described in purely logical terms.”
Mark Kac, Mathematics and Logic

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Discrete Thoughts: Essays on Mathematics, Science and Philosophy (Modern Birkhäuser Classics) Discrete Thoughts
21 ratings
Enigmas of Chance: An Autobiography Enigmas of Chance
29 ratings