The laws of nature are but the mathematical thoughts of God.

-- Euclid 欧几里得

自然法则不过是上帝的数学思想。

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Mathematical Thoughts

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Kind thoughts are rarer than either kind words or deeds. They imply a great deal of thinking about others. This in itself is rare. But they also imply a great deal of thinking about others without the thoughts being criticisms. This is rarer still.

善良的思想比善良的言语和行为更稀有。它们意味着要为他人着想。这本身是罕见的。但他们也暗示了大量的思考他人的想法，而不是批评。这种情况更加罕见。

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I will throw all my best efforts into it, my thoughts and political observations, but ultimately I want to create a narrative that keeps you turning the pages and leaves you with a sense that this thing has a reason for being there.

我将尽我最大的努力，我的想法和政治观察，但最终我想创造一个故事，让你不断翻动书页，让你感觉这件事存在的理由。

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If indeed, as Hilbert asserted, mathematics is a meaningless game played with meaningless marks on paper, the only mathematical experience to which we can refer is the making of marks on paper.

如果真的如希尔伯特所言，数学是一场毫无意义的游戏，在纸上做着毫无意义的标记，那么我们唯一可以参考的数学经验就是在纸上做标记。

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In a few decades of reconstruction, even the mathematical natural sciences, the ancient archetypes of theoretical perfection, have changed habit completely!

在几十年的重建中，甚至数学自然科学的原型理论的完善，都彻底改变了习惯!

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