摘要
《加减乘除释》是乾嘉学者焦循以刘徽注释的《九章算术》为诠释对象而撰写的一部数学著作,着重阐发《九章算术》的算理。焦循诠释《九章算术》的方法分为考证训诂和算理诠释法,通过对概念、算律和运算法则的分析阐明了算理。算理诠释法主要包括以算理诠释《九章算术》、比较法和对“形”的问题的处理三个方面。焦循的诠释过程体现出经学研究中的“求通”与“求是”两个特征,求通主要包括重博、求精和实现贯通三方面,求是主要包括言必有据、质疑精神和推求的主张。
Jia Jian Cheng Chu Shi is a mathematical treatise by Qian-Jia scholar Jiao Xun,interpreting Liu Hui's annotated Jiu Zhang Suan Shu.The work emphasizes elucidating the computational principles of this classic.This paper examines Jiao Xun's methodological approach to Jiu Zhang Suan Shu,which combines philological analysis with principle interpretation.Through analyzing concepts,rules,and operational principles,Jiao Xun clarifies these computational foundations.The principle interpretation method primarily addresses three aspects:applying computational principles to interpret Jiu Zhang Suan Shu,comparative analysis,and handling"formal"issues.Jiao Xun's interpretive process demonstrates two characteristics:the"pursuit of comprehensibility"from classical studies and the"quest for authenticity"from historical research.Pursuit of comprehensibility focuses on depth,precision,and holistic integration.Pursuit of authenticity emphasizes textual credibility,critical questioning,and deductive reasoning.
作者
林志伟
郭世荣
LIN Zhi-wei;GUO Shi-rong(Institute for the History of Science and Technology,Inner Mongolia Normal University,Hohhot O1OO10;Library,Ordos University of Technology,Erdos 017000,China)
出处
《自然辩证法研究》
北大核心
2025年第11期104-111,共8页
Studies in Dialectics of Nature
基金
国家社会科学基金冷门绝学团队项目“中国珠算典籍与算法体系研究”(22VJXT002)。
关键词
焦循
《加减乘除释》
《九章算术》
诠释方法
Jiao Xun
Jia Jian Cheng Chu Shi
Jiu Zhang Suan Shu
interpretation methods
