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What affected me most profoundly was the realization that the sciences of cryptography and mathematics are very elegant, pure sciences. I found that the ends for which these pure sciences are used are less elegant. James Sanborn
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Even in pure mathematics they can't remove all paradox, and the rest of us should also recognize we are going to have to endure a lot of paradox, like it or not. Charlie Munger
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Mathematics is purely hypothetical: it produces nothing but conditional propositions. Charles Sanders Peirce
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Another characteristic of mathematical thought is that it can have no success where it cannot generalize.
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This branch of mathematics [Probability] is the only one, I believe, in which good writers frequently get results which are entirely erroneous.
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We are servants rather than masters in mathematics. Charles Hermite
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In mathematics our role is more that of servant than master.
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We are going to shut down their operations, and if he would do the math he would come back to the table,
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I started off thinking that maybe the social sciences ought to have the kinds of mathematics that the natural sciences had. That works a little bit in economics because they talk about costs, prices and quantities of goods. But it doesn't work a darn for the other social sciences; you lose most of the content when you translate them to numbers. Herbert Simon