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夏立

深圳职业技术学院，中国

 

摘要

本文以“勾股定理” 在古代文献中的各个表征为切入点，使用“实例化”的方法，探讨勾股定理在西方文献《几何原本》与古代中国文献《周髀算经》的不同表征方式。本文将“实例化”这一语言学概念应用于汉语文本特别是古代汉语文本的分析中，提出“实例化”是讨论抽象知识与实体表征的有效方法，而这种方法也可以应用于古代汉语文本中。本文还将“实例化” 应用于西方文献，特别是英文文献中对于“毕达哥拉斯定理” 的表征进行分析。本文认为不同语言对于同一知识在表征形式上的不同，只是不同的实例化体现。各个实例化表征本身是可以通过语境依赖程度进行描述。本文采用“同一知识”加“不同表征”这一分析思路，尝试分析并理解知识和实例之间的关系。

 

关键词

实例化，勾股定理，古代数学文本，多模态表征，知识构建

 

Understanding Knowledge Construction from the Perspective of Instantiation: Cases of Pythagoras Theorem in Ancient Classics

Li Xia

Shenzhen Polytechnic, China

 

Abstract

This paper explores how Pythagoras Theorem is represented in two ancient mathematics classics: Elements and Zhou Bi Suan Jing from the perspective of Instantiation. This paper suggests that Instantiation is a valuable method in understanding the relationship between abstract knowledge and concrete representations even for ancient Chinese discourse. This paper also suggests that the same knowledge can be represented differently based on different contextual dependency level, offering a linguistic perspective in understanding the relationship between knowledge and representation.

 

Keywords

Instantiation, Pythagoras Theorem, mathematics classics, multimodal representation, knowledge construction