Zhou, Chang (Author)
Zhang, Jianke (Author)
Ziran Kexueshi Yanjiu (Studies in the History of Natural Sciences)
Volume: 27
Pages: 213--226
Edition Details: [Translated title.] In Chinese.
Language: Chinese
Abstract In view of mathematical methodology and the Neo-Confucianism of Song and Yuan dynasties, this paper discusses the essential character of Tetsujutsu which runs through Tetsujutsu Sankei,and Takebe's mathematical thought and methodology reflected from the Jishitsu Setsu at the end of the book. The paper comes to the conclusion that Takebe's Tetsujutsu is, actually, the colligation of the methods of deduction and induction, in which Takebe pays more attention to the method of induction, but he ignores the proof of precisely relying on the method of deduction. Basing on the analysis, it gets that mathematical thought coming from the author's preface and Jishitsu Setsu of the Tetsujutsu Sankei is rather connected to the mainstream philosophy of Zhu Xi (1130-1200) and Wang Shouren (1472-1528) of the time, than having nothing to do with the philosophical thought which is the view of some scholars. And, the origin of Takebe's mathematical thought may be traced back to the Neo-Confucianism of Song and Yuan dynasties in China.
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