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发表在数学通报1957年第一期上的一篇评论:“批判在数学发展史观中的形而上学观点”,是邵品琮同志对李锐夫同志“近代数学的发展”一文的批评。读过以后也想提出自己的一些看法,供大家参考讨论。首先我们认为“近代数学的发展”一文并不是数学史方面的论述,而是关于近代数学各个分枝间的联系和影响叙述。它并不回答数学或数学某一分枝为什么会发展,在什么前提下才能发展的问题,而只是就数学本身内在的逻辑性上加以回顾,并以此闻明近代数学发展的概貌。因此该文没有直接提到发展史观的问题,只是就数学谈数学。
A comment published in the first issue of the Mathematics Bulletin in 1957: “Criticism in the view of metaphysical development in the view of mathematics development” is a criticism of Comrade Li Ruifu’s article “Development of modern mathematics” by Comrade Li Ruifu. After reading it, I also want to put forward some of my own opinions for your reference. First of all, we believe that the article “The development of modern mathematics” is not a discourse on the history of mathematics, but on the connection and influence of various branches of modern mathematics. It does not answer the question of why a certain branch of mathematics or mathematics will develop and under what conditions, but merely reviews the inherent logic of mathematics itself and sheds light on the general development of modern mathematics. Therefore, this article does not directly mention the issue of the development of historical views, but just talk about mathematics in mathematics.