| 论《九章算术》刘徽注对墨家逻辑的继承与发展 |
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| 引用本文： | 杨岗营.论《九章算术》刘徽注对墨家逻辑的继承与发展[J].毕节学院学报,2010,28(7):66-71. |
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| 作者姓名： | 杨岗营 |
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| 作者单位： | 毕节学院逻辑、语言与认知研究中心,贵州,毕节,551700 |
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| 基金项目： | 教育部哲学社会科学研究基地重大项目，贵州省教育厅高校人文社科研究规划项目 |
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| 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。
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| 关 键 词： | 墨家逻辑 推类 刘徽 《九章算术》 |
Study on the Heritage and Development of the Mohist Logic by Liuhui's notes on Nine Chapters on Mathematical Procedures |
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| YANG Gang-ying.Study on the Heritage and Development of the Mohist Logic by Liuhui's notes on Nine Chapters on Mathematical Procedures[J].Journal of Bijie University,2010,28(7):66-71. |
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| Authors: | YANG Gang-ying |
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| Institution: | YANG Gang-ying (Center for Logic-Language and Cognition,Bijie University,Bijie551700,China) |
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| Abstract: | Monist logic was the"TUI-LEI"reasoning based on the relationship of"LEI similar"."LIU -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. |
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| Keywords: | Mohist Logic Tuilei(Analogy) Liuhui Nine Chapters on Mathematical Procedures |
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