中国科技史杂志

概括 20世纪中国数学史研究的两次运动的特点,建立一个模型,以说明李俨与钱宝琮领导的“发现”范式与吴文俊领导的“复原”范式对中国的数学史研究的深刻影响。利用这个模型,解释两个重要现象发生的原因:其一,中国的数学史研究在 1970年代初和当今两度出现低潮;其二,绝大多数的中国数学史家都将自己的研究兴趣专注在中国传统数学上。为了改变这种现状,中国的数学史研究应该在现有的研究范式基础上,适时地、适当地予以改进,从发现“有什么数学”、复原“如何做数学”,扩充到“为什么要研究数学”。

Led by Li Yan,Qian Baocong and Wu Wen-tsun,there are two movements of research on the history of mathematics in China.Respectively,they feature discovery and recovery.According to the nature of these two movements,a paradigmatic shift occurred during the last century.By a model constructed on the basis of the two movements,one can easily see how Wu's paradigm is different from that of Li and Qian,and how the meaning of original research on the history of mathematics in China was extended.The model is also used to explain the following phenomena which have puzzled historians of mathematics for years :Why a low ebb of research on the history of mathematics in China occurred twice,once in the 1970's,and once now,andwhy the absolute majority of Chinese historians of mathematics limit their research interest to traditional Chiinese mathematics.It is believed that,in order to deal with the existing state of affairs, the present paradigm should be changed further from what and how to why mathematics is done.