What did Liu Hui, an ancient mathematician, study on mathematics?
Liu Hui himself has the qualities of a great scientist, which is the internal factor of his success. First of all, he inherited the tradition of combining mathematics with practice initiated by Nine Chapters of Arithmetic. Liu Hui insisted on seeking truth from facts when discussing various issues including the origin of mathematics, without any mysterious elements. He said: "It is difficult to demonstrate without clear evidence." All the reasoning and argumentation in Nine Chapters Arithmetic Notes have reliable arguments and premises. He pointed out that mathematics is "difficult unless it is special" and criticized Zhang Heng for trying to coordinate the coupling of yin and yang without paying attention to the mistakes in mathematics, pointing out that "although there are words, they are chaotic and morbid." Draw a line with agnosticism and digital mysticism. Liu Hui is well-read and good at absorbing the ideological data of thinkers of past dynasties for his own mathematical creation. He quoted words from ancient books such as Mozi, Kao, Zuo, Zhouyi, Analects of Confucius, Guan Zi, Lao Zi, Zhuangzi, Historical Records, Huai Nanzi, etc., which showed that he was familiar with hundreds of dialects. He conforms to the trend of the times and attaches great importance to the study of mathematical theory. His viewpoint of "inseparability" of infinitesimal division comes down in one continuous line with Mohism, while his viewpoint of "subtlety and invisibility" comes from Zhuangzi, and his reasoning method is influenced by Wang Chong's Lun Heng and others. , are the products of the times. But he was not superstitious about the ancients.