毛利重能著『割算書』における「陰陽」と「士農工商」 (数学史の研究)

Abstract

In 1622, Mōri Shigeyoshi published the Warisansho a mathematical book with a preface. The Warisansho is an abacus-based math book that addresses practical issues following the multiplication table. The preface to this Warisansho explains the origin of numbers, incorporating the content of the Old Testament book of Genesis. There is a lot of research on this point. But there is a continuation of this preface. This is an explanation of the Yin-Yang principle that originated in Chinese Confucianism. In this paper, we will not pursue from the perspective of Christianity, but from the view of mathematics possessed by Mōri Shigeyoshi. Then, clarify the following four points. i) Why did Mōri Shigeyoshi publish a statement focusing on "division"? ii) Why did Mōri Shigeyoshi adopt the Principles of Yin and Yang as the theory that goes through the Warisansho? iii) How was Mōri Shigeyoshi influenced by mathematics in China and Western Europe? iv) What kind of influence did Mōri Shigeyoshi's view of mathematics have on Japanese academic research?