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— Sarah Fielding"There is yet another kind of matrimonial dialect (which naturally succeeds this of talking at each other), which may very properlybe styled The Language Contradictory.... In the former, however plain the object of satire may be exhibited to the whole company, yet there always remains some little covering.... But in this last method, the defiance becomes more open and the impetuosity with which these contradictions are uttered (although the subjects of them are often of the most indifferent nature) evidently prove that they arise from passion."
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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
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You are not supposed to get it. It's a paradox. All of mathematics is built on paradoxes. That's the biggest paradox of all-all this orderliness, and at the heart, impossibility. Contradiction. Heaven built on the foundations of hell.
— David Leavitt
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