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It is not of the essence of mathematics to be conversant with the ideas of number and quantity.

  • -- George John Boole 乔治·约翰·布尔

熟悉数和量的概念并不是数学的本质。

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Mathematics Ideas

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It may be true, that men, who are mere mathematicians, have certain specific shortcomings, but that is not the fault of mathematics, for it is equally true of every other exclusive occupation.

诚然，仅仅是数学家的人也有某些特定的缺点，但这并不是数学的过错，因为其他任何排他性的职业也有同样的缺点。

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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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Uniform ideas originating among entire peoples unknown to each other must have a common ground of truth.

产生于互不相识的全体人民之间的统一思想必须有一个共同的真理基础。

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Harold, like the rest of us, had many impressions which saved him the trouble of distinct ideas.

哈罗德和我们其他人一样，有许多印象，这使他不必为自己的想法而烦恼。

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