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Title: 田辺元の複素関数論 (数学史の研究)
Other Titles: Tanabe Hajime on complex analysis (The study of the history of mathematics 2017)
Authors: 朝倉, 友海  KAKEN_name
Author's alias: Asakura, Tomomi
Keywords: 00A30
Philosophy of mathematics
complex analysis
G. W. Leibniz
B. Riemann
H. Tanabe
Issue Date: Dec-2018
Publisher: Research Institute for Mathematical Sciences, Kyoto University
Journal title: 数理解析研究所講究録別冊
Volume: B71
Start page: 75
End page: 92
Abstract: Tanabe Hajime (1885-1962) in his later years explored the so-called "dialectical" interpretation of complex analysis, an important part of his philosophy of mathematics that has previously been criticized as lacking mathematical accuracy and philosophical importance. I interpret his elaboration on complex analysis as an attempt to develop Leibniz's theory of individual notion and to supplement Hegel's view of higher analysis with the development in mathematics such as the theory of analytic continuation and Riemann surface. This interpretation shows the previously underrated philosophico - mathematical significance of Tanabe's argument.
Description: "The study of the history of mathematics 2017". September 19-22, 2017. edited by Shigeru Jochi. The papers presented in this volume of RIMS Kôkyûroku Bessatsu are in final form and refereed.
Rights: © 2018 by the Research Institute for Mathematical Sciences, Kyoto University. All rights reserved.
Appears in Collections:B71 The study of the history of mathematics 2017

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