Article ID: CBB000933525

Takebe's Mathematical Thought and Methodology (2008)

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Zhou, Chang (Author)
Zhang, Jianke (Author)


Ziran Kexueshi Yanjiu (Studies in the History of Natural Sciences)
Volume: 27
Pages: 213--226


Publication Date: 2008
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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Citation URI
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Authors & Contributors
Xu, Zelin
Horiuchi, Annick
Paramore, Kiri
Mathias Vigouroux
Zhou, Chang
Zhang, Jian-wei
Concepts
East Asia, civilization and culture
Mathematics
Transmission of ideas
Cross-cultural interaction; cultural influence
Wasan (Japanese mathematics)
Astronomy
Time Periods
Edo period (Japan, 1603-1868)
18th century
19th century
17th century
Kamakura period (Japan, 1192-1333)
Qing dynasty (China, 1644-1912)
Places
Japan
China
Korea
Institutions
Jesuits (Society of Jesus)
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