| 洛书数字生成律与中国传统数学之源——兼评王介南先生《洛书·终极理论——一个单独的公式》 |
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| 引用本文： | 李曙华.洛书数字生成律与中国传统数学之源——兼评王介南先生《洛书·终极理论——一个单独的公式》[J].山西大学师范学院学报,2008(4):1-7. |
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| 作者姓名： | 李曙华 |
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| 作者单位： | 南京大学哲学系,江苏南京210093 |
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| 摘 要： | 周易自然哲学具有数理的客观基础,王介南发现洛书数字模式正是“自然数的自发自组织结构”,李曙华将其中两个定理修正推广为“消减归元术”与“乘方增长术”,说明中国古代数学的思想与方法之源在周易,而其关键正是吴文俊所提出的中国数学的基本特征——机械化算法体系。从而进一步证明中国数学不属于公理化演绎体系的西方代数、几何,而是中国的数字算法与数字图像的统一。随着计算机的产生与发展,中国数学的优越性日益明显,吴文俊正是直接继承中国数学传统,一举突破计算机机器证明问题,为中国数学开辟了自主创新之道。王介南先生《洛书.终极理论——一个单独的公式》一书发掘并发展了河洛、周易所蕴含的数学思想与方法,不仅为我们理解中国数学之渊源,而且为解决当代科学问题提供了独到思路与启发。
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| 关 键 词： | 数字算法 数字图像(模式) 象数 机械化算法体系 中国科学创新 |
The Method of Figure Generation in Luoshu and the Origin of Chinese Traditional Mathematics -- Also a Commentary on the Book,An Individual Equation from Luoshu,the Ultimate Theory,by Wang Jienan |
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| LI Shu-hua.The Method of Figure Generation in Luoshu and the Origin of Chinese Traditional Mathematics -- Also a Commentary on the Book,An Individual Equation from Luoshu,the Ultimate Theory,by Wang Jienan[J].Journal of Teachers College of Shanxi University,2008(4):1-7. |
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| Authors: | LI Shu-hua |
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| Institution: | LI Shu-hua (Department of Philosophy, Nanjing University, Nanjing 210093, China) |
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| Abstract: | The natural philosophy of Zhouyi relies on some objective basis and mathematics. Wang Jienan found that Luoshu matrix is the structure of spontaneous serf-organization of natural numbers. In this paper, two of the theorems in his book have been modified and extended as Method of Reducing to the Original Unit and Method of Square to generation. This illustrates that Chinese traditional mathematical thoughts and methods root in Zhouyi. The clue is the Mechanical System of Algorithm, which was put forword by Wu Wen-tsun who has taken it as the fundamental character of Chinese traditional mathematics （arithmetic）. And hereby this paper further proves that Chinese traditional arithmetic is the combination of figure algorithm and figure matrix which is different from western algebra and geometry in the Axiomatic System of Deduction. With the development of computers, Chinese traditional mathematics gradually shows its advantages. It was by inheriting of Chinese mathematics tradition that Wu Wentsun has made breakthrough in mechanical theorem proving, and opened up a route of self-innovation for the development of Chinese mathematics. In his book, An Individual Equation from Luoshu, the Ultimate Theory, Wang Jienan has excavated and developed the mathematical thoughts and methods hidden in Hetu, Luoshu and Zhouyi. This helps us not only understand the origin of Chinese mathematics, but also obtain unique thoughts and enlightenment in solving modern scientific problems. |
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| Keywords: | figure algorithm figure matrix （mode） image-numberology mechanical system of algorithm China＇s scientific innovations |
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