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In mathematics the art of proposing a question must be held of higher value than solving it.

  • -- Georg Cantor 康托

在数学中，提出问题的艺术必须比解决问题更有价值。

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Mathematician Mathematics

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Guided only by their feeling for symmetry, simplicity, and generality, and an indefinable sense of the fitness of things, creative mathematicians now, as in the past, are inspired by the art of mathematics rather than by any prospect of ultimate usefulness.

现在的创造性数学家和过去一样，只受他们对对称性、简明性和普遍性的感觉以及对事物适应性的一种无法定义的感觉的指导，他们受到数学艺术的启发，而不是受到任何最终有用的前景的启发。

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Thus, in a sense, mathematics has been most advanced by those who distinguished themselves by intuition rather than by rigorous proofs.

因此，从某种意义上说，数学是由那些靠直觉而不是靠严格的证明来突出自己的人发展起来的。

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Mathematicians are like managers - they want improvement without change.

数学家就像经理一样，他们需要的是无需改变的改进。

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Mathematics allows for no hypocrisy and no vagueness.

数学不允许虚伪和模糊。

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