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Feng realized that the only lesson that China had to learn from the Westerners was not leadership because the Chinese already possessed that trait, but refining their own techniques and learning. Feng did believe that in order to progress in China and learn from the Westerners, China had to adopt the mathematics that was used in the West, for "All Western knowledge is derived from mathematics? If we wish to adopt Western knowledge, it is but natural that we should learn mathematics." Learning was not to make themselves better than the Westerners but to become equal with them.
One man that was greatly opposed to reform and self-strengthening from the Westerners was Woren, who believed that scholars should indeed be taught the fundamentals of mathematics; to servants this art would be useless because they only had to serve their masters and had no use for scholarly teachings...
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