数学的内部真实性是纯智力的真理。
The inner truth of mathematics is purely intellectual truth.
这些新理论比纯智力的激励和要求提供了更好的东西。
The new theories have more to offer than pure intellectual excitement and challenge.
他们在文艺上的成就被每个人熟悉，但是他们纯智力领域中的作为更加的优秀。
What they achieved in art and literature is familiar to everybody, but what they did in the purely intellectual realm is even more exceptional.
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