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

-- Felix Klein 菲利克斯·克莱恩

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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Intuition Mathematics

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The intuitive mind is a sacred gift and the rational mind is a faithful servant. We have created a society that honors the servant and has forgotten the gift.

直觉的头脑是神圣的礼物，理性的头脑是忠实的仆人。我们创造了一个尊重仆人而忘记礼物的社会。

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It is the perennial youthfulness of mathematics itself which marks it off with a disconcerting immortality from the other sciences.

正是数学本身的永葆青春，使它与其他科学令人不安的不朽性相区别。

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The mistakes and unresolved difficulties of the past in mathematics have always been the opportunities of its future.

过去数学上的错误和未解决的困难一直是数学未来的机遇。

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The intuition of free will gives us the truth.

自由意志的直觉告诉我们真理。

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