| 印度文化和数学里的递归 |
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| 引用本文： | 孤鹤. 印度文化和数学里的递归[J]. 逻辑学研究, 2013, 0(3): 88-101 |
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| 作者姓名： | 孤鹤 |
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| 作者单位： | 复旦大学哲学院 |
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| 基金项目： | ＊The present paper is part of my project ＂Oriental Scholar＂ on cross-cultural issues in the scientific traditions of India and the West, funded by the Chinese government. I would like to thank the Chi-nese government for supporting my research with a generous grant. Moreover, I am indebted to Fudan University for providing me with excellent working conditions. |
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| 摘 要： | 这篇文章处理了递归的模式在印度艺术（印度寺庙建筑与梵文诗律）与印度数学中的重要作用。同时对于莱布尼兹序列（Leibniz series）的玛达瓦（Mādhava）推导做一个具体的形式化的重构，并为大卫·芒福德（David Mumford）的发现提供了证据，即在印度数学中递归是一个重要的证明方法。
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| 关 键 词： | 印度文化 递归 数学 寺庙建筑 印度艺术 证明方法 芒福德 文章 |
Recursion in Indian Art and in Indian Mathematics |
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| Eberhard Guhe. Recursion in Indian Art and in Indian Mathematics[J]. Studies in Logic, 2013, 0(3): 88-101 |
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| Authors: | Eberhard Guhe |
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| Affiliation: | Eberhard Guhe (School of Philosophy, Fudan University) |
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| Abstract: | The present article deals with the prominent role of recursive patterns in Indian art （Hindu temple architecture and Sanskrit prosody） and in Indian mathematics. A detailed formal reconstruction of M~dhava＇s derivation of the Leibniz series provides evidence for David Mumford＇s observation that recursion is an important method of proof in Indian mathematics. |
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