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| ファイル | 記述 | サイズ | フォーマット | |
|---|---|---|---|---|
| B71-06.pdf | 14.39 MB | Adobe PDF | 見る/開く |
| タイトル: | 田辺元の複素関数論 (数学史の研究) |
| その他のタイトル: | Tanabe Hajime on complex analysis (The study of the history of mathematics 2017) |
| 著者: | 朝倉, 友海  |
| 著者名の別形: | Asakura, Tomomi |
| キーワード: | 00A30 01A27 Philosophy of mathematics complex analysis G. W. Leibniz B. Riemann H. Tanabe |
| 発行日: | Dec-2018 |
| 出版者: | Research Institute for Mathematical Sciences, Kyoto University |
| 誌名: | 数理解析研究所講究録別冊 |
| 巻: | B71 |
| 開始ページ: | 75 |
| 終了ページ: | 92 |
| 抄録: | 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. |
| 記述: | "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. |
| 著作権等: | © 2018 by the Research Institute for Mathematical Sciences, Kyoto University. All rights reserved. |
| URI: | http://hdl.handle.net/2433/244725 |
| 出現コレクション: | B71 The study of the history of mathematics 2017 |
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