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周易象数算法与象数逻辑——中国文化之根探源的新视角 被引量:12

The Xiang-shu Algorithm and Logic in Book of Changes:A New Perspective for the Exploration of the Root of Chinese Culture
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摘要 中西方具有不同的思维方式。表达中国的"象思维"只能是"象语言","象语言"的逻辑不是形式逻辑,而是"象数逻辑"。"象数逻辑"通过"取象去形",以"无形之象"追摹自然变化之序而创立推演体系,包括比类推理与太极推理两大推理法则,且深涵价值底蕴。中国"象数逻辑"较之西方形式逻辑与辩证法,更具本原性,内涵更丰富,包容性更大,其以"象数算法"为基础,但蕴涵其中,并未分化成为独立学科。而中国古代数学本为体用不二之完整体系,洛书、周易之"象数算法"与中国古代数学之"机械化算法体系"一脉相承。吴文俊对中国古代数学的继承创新,不仅对人类数学史,对当今数学发展意义重大,而且也为今天创建现代的中国语言学、逻辑学,为中国科学的自主创新提供了重要的思想与方法论启示。 Chinese hold a different thinking style from that of the westerners and the Chinese Xiang thinking style only could be expressed through Xiang language. The logic of Xiang language is not the formal logic but the Xiang-shu logic. The Xiang-shu logic expresses the order of the natural change in taking Xiang through discarding forms and develops a specific deduction system with the Xiang without forms, which uses analogy and Tai Chi as the two primary principles for deduction and includes potential humanistic values, In contrast to the formal logic and dialectics developed in the western world, the Chinese Xiang-shu logic based on Xiang-shu algorithm is more primary, more fundamental, and more enriched. The ancient Chinese mathematics is a perfect system with the integration of noumenon and practice. In fact, the Xiang-shu algorithm and the mechanical algorithm system in ancient Chinese mathematics were derived from the same origin. Wu Wenjun reinvests the ancient Chinese mathematics with new initiatives and makes great contributions not only to the history of human mathematics and its contemporary development, to the building of modem Chinese linguistics and logic, but also to the independent innovation of science in China.
作者 李曙华
机构地区 南京大学哲学系
出处 《杭州师范大学学报(社会科学版)》 CSSCI 北大核心 2009年第2期12-17,57,共7页 Journal of Hangzhou Normal University(Humanities and Social Sciences)
关键词 象数算法 机械化算法 象数逻辑 比类推理 太极推理 Xiang-shu algorithm mechanical system of algorithm Xiang-shu logic analogical deduction Tai Chi deduction
作者简介 李曙华(1949-),女,浙江杭州人,南京大学哲学系教授、博士生导师,研究方向:科学思想史、系统科学及其哲学问题、中西科学思想比较。
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参考文献4

  • 1邓立光.象数易镜原[M].成都:巴蜀书社,1993.
  • 2吴文俊.吴文俊论数学机械化[M].济南:山东教育出版社,1995.41-44.
  • 3董光璧.中国科学传统的特征及其现代意义[J].科学新闻,2002,0(1):28-28. 被引量:11
  • 4钱宝琮.《中国古代数学的伟大成就》,吴文俊《吴文俊论数学机械化》,第376页.

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