What mathematicians are doing is using their mind to think about these Platonic ideas of mathematics.

数学家所做的就是用他们的心灵,来思考那些数学的柏拉图理念

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Mathematicians have luckily told us how to analyze the mathematics in any number of dimensions.

数学家们正好告诉了我们,如何在任意维度下进行数学分析

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are there any mathematicians here?

在座的有没有学数学的？

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But the mathematicians told Dirac, "You cannot ignore the negative energy solution because it tells you there's a second solution and you cannot throw them out."

但数学家们告诉狄拉克,你不能忽略负的能量,因为数学告诉我有两个根,你不能随便丢掉

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