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Good instincts usually tell you what to do long before your head has figured it out.

  • -- Michael Burke 伯克

良好的直觉通常会在你的大脑还没有想清楚之前就告诉你该做什么。

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Intuition Reason

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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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Brick walls are there for a reason. The brick walls aren't there to keep us out. The brick walls are there to show us how badly we want things.

砖墙的存在是有原因的。砖墙不是用来阻挡我们的。砖墙的存在是为了告诉我们，我们有多么渴望得到我们想要的东西。

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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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You know he really cares when he asks what's wrong, and when you tell him nothing he stays there waiting for the real reason.

你知道，当他问出了什么事，而你什么也没告诉他时，他真的很在乎，他在那里等待真正的原因。

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