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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.

  • -- 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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Mathematics as an expression of the human mind reflects the active will, the contemplative reason, and the desire for aesthetic perfection. Its basic elements are logic and intuition, analysis and construction, generality and individuality.

数学作为人类思维的一种表达方式，反映了人类积极的意志、沉思的理性和对审美完美的渴望。其基本要素是逻辑与直觉、分析与建构、共性与个性。

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The creative is the place where no one else has ever been. You have to leave the city of your comfort and go into the wilderness of your intuition. What you'll discover will be wonderful. What you'll discover is yourself.

创造性是没有人去过的地方。你必须离开舒适的城市，进入你直觉的荒野。你会发现什么将是美妙的。你会发现你自己。

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I like mathematics because it is not human and has nothing particular to do with this planet or with the whole accidental universe - because, like Spinoza's God, it won't love us in return.

我喜欢数学，因为它不是人类，它与这个星球或整个偶然的宇宙没有什么特别的关系——因为，就像斯宾诺莎笔下的上帝一样，它也不会反过来爱我们。

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The especial genius of women I believe to be electrical in movement, intuitive in function, spiritual in tendency.

我认为女性的特殊天赋在于她们在运动上是电性的，在功能上是直觉的，在倾向上是灵性的。

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