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中西方必然推理比较研究     被引量:1

Comparative Study on the Chinese and Western Inevitable Reasoning

文献类型:期刊文献

中文题名:中西方必然推理比较研究

英文题名:Comparative Study on the Chinese and Western Inevitable Reasoning

作者:杨岗营 张学立

第一作者:杨岗营

机构:[1]贵州理工学院经济管理学院,贵州贵阳550003;[2]贵州民族大学逻辑、语言与认知研究中心,贵州贵阳550025

第一机构:贵州理工学院理学院|贵州理工学院经济管理学院

年份:2017

卷号:0

期号:3

起止页码:79-88

中文期刊名:贵州民族大学学报:哲学社会科学版

基金:2011年度国家社科基金西部项目“中西方必然推理比较研究”[项目编号:11XZX009];2012教育部人文社科研究西部项目“基于广义论证的比较逻辑研究”[项目编号:12XJA7204001];高层次人才项目“中国古代科学逻辑思想”[项目编号:G2012002]

语种:中文

中文关键词:逻辑;必然推理;比较研究

外文关键词:logic ; inevitable reasoning; comparative study

摘要:《周易》"揲法"开启了中国逻辑必然推理的先河,刘徽《九章算术注》把这种推理模式进一步的完善和发展,成为独具一格的中国逻辑必然推理体系——"科技推类"推理。西方逻辑必然推理,一开始就与西方哲学"求真"思想一脉相承,欧几里得《几何原本》创造的公理化演绎逻辑体系,成为西方必然推理的滥觞。从数学史角度对中西方必然推理机制进行比较研究,可以更好地诠释逻辑的"共同性"(推理、论证、证明)与"特殊性"(推理模式、程序)。"共同性"与"特殊性"兼备,是逻辑的一个基本特征。
Die Fa, as a computational method in Book of Change (Zhouyi), a Chinese classic, started the inevitable reasoning in China' s logic. This inference model was further developed by Liu Hui in his masterpiece "Annotations to The Nine Chapters on the Mathematical Art" ~ Jiu Zhang Suan Shu Zhu ). Inevitable reasoning in western logic started in philosophy, searching for " truth " Fundamentals of Geometry by Euclide created the axiom deductive logic system has been commonly used in the western academic community. It is argued in this paper that a comparative study on the Chinese and western inevitable reasoning mechanisms from the perspectives of math history can better interpret the logical " commonality " (inference, expounding and proving) and " specialty" (inference models and procedures ) from a comparative study on history of mathematics. "Commonality" and "specialty" together are the fundamental characteristics of logic.

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