论《九章算术》刘徽注对墨家逻辑的继承与发展  

Study on the Heritage and Development of the Mohist Logic by Liuhui's notes on Nine Chapters on Mathematical Procedures

作　　者：杨岗营[1] 

机构地区：[1]毕节学院逻辑,语言与认知研究中心,贵州毕节551700

出　　处：《毕节学院学报（综合版）》2010年第7期66-71,共6页Journal of Bijie University

基　　金：教育部哲学社会科学研究基地重大项目"中国逻辑思想研究"(南开大学哲学系翟锦程教授主持)成果;项目编号:08JJD720044;贵州省教育厅高校人文社科研究规划项目"比较逻辑学理论体系建构"成果;项目编号:黔教社发[2007]331号

摘　　要：墨家逻辑是基于事物间"类同"关系的"推类"推理。《九章算术》刘徽注(简称"刘注")继承和发展了墨家逻辑的"推类"推理理论,并将其广泛应用于《九章算术》中"九类"应用数学题的注释与论证。我国古代科学技术中蕴含的这种"推类"推理,其推理的前提与结论之间具有必然性。论文以《九章算术》"割圆术"为例,进一步揭示了这种推理的机制与程序。Monist logic was the ＂TUI-LEI＂ reasoning based on the relahonship oi bill similar . LI- U-HUI＂ notes on （（Nine Chapters on Mathematical Procedures）） had been carried on and developed the logic, and then, made it widely uses on the annotation and argumentation for the ＂Nine type＂ of mathematical question. This kind of ＂TUI-LEI＂ （analogy） which been contained in the science and technology in ancient china had the inevitability between the premise and the conclusion.

关 键 词：墨家逻辑 推类 刘徽 《九章算术》 

分 类 号：B81-09[哲学宗教—逻辑学]