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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If scientific reasoning were limited to the logical processes of arithmetic, we should not get very far in our understanding of the physical world. One might as well attempt to grasp the game of poker entirely by the use of the mathematics of probability.

如果科学推理局限于算术的逻辑过程，我们对物理世界的理解就不会走得太远。人们不妨尝试完全利用概率数学来把握扑克游戏。

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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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I can become very emotional about math, although I'm not that good at it.

我对数学很感性，虽然我不擅长数学。

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Mathematics is written for mathematicians.

数学是为数学家写的。

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