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For scholars and laymen alike it is not philosophy but active experience in mathematics itself that can alone answer the question: What is mathematics?

  • -- Richard Courant 库兰特

对于学者和门外汉来说，只有数学本身的积极经验，而不是哲学，才能回答这个问题:什么是数学?

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Mathematics Philosophy

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You are a child of the sun, you come from the sun, and that is something true with the Earth also... your relationship with the Earth is so deep, and the Earth is in you and this is something not very difficult, much less difficult then philosophy.

你是太阳的孩子，你来自太阳，地球也是如此……你们与地球的关系是如此之深，而地球就在你们之中，这不是一件非常困难的事情，远没有哲学那么困难。

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I am an Epicurean. I consider the genuine (not the imputed) doctrines of Epicurus as containing everything rational in moral philosophy which Greek and Roman leave to us.

我是个享乐主义者。我认为伊壁鸠鲁真正的(而不是假定的)学说包含了希腊和罗马留给我们的道德哲学的一切理性。

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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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In mathematics the art of proposing a question must be held of higher value than solving it.

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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