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Proof is an idol before whom the pure mathematician torture

Proof is an idol before whom the pure mathematician tortures himself. – Arthur Stanley Eddington, The Nature of the Physical World

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Mathematics are well and good but nature keeps dragging us around by the nose. – Albert Einstein

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One of the endlessly alluring aspects of mathematics is that its thorniest paradoxes have a way of blooming into beautiful theories. – Philip J. Davis

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