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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.

  • -- Vannevar Bush 瓦内瓦·布什

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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Probability Arithmetic Mathematician

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The desire to economize time and mental effort in arithmetical computations, and to eliminate human liability to error is probably as old as the science of arithmetic itself.

在算术计算中节省时间和脑力的愿望，以及消除人类易犯错误的倾向，可能和算术科学本身一样古老。

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A mathematician, like a painter or poet, is a maker of patterns. If his patterns are more permanent than theirs, it is because they are made with ideas.

数学家就像画家或诗人一样，是图案的制造者。如果说他的模式比他们的更持久，那是因为它们是由思想构成的。

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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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From principles is derived probability, but truth or certainty is obtained only from facts.

概率论来自原理，但真理或确定性只能从事实中获得。

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The hardest arithmetic to master is that which enables us to count our blessings.

最难掌握的算术是能让我们计算自己的幸福。

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