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数学通报1958年9月号刊登的张素诚先生写的“几何学中的研究对象”一文,我反复地读了几遍,感觉得这篇文章,作者是以什么观点来写的呢?是值得研究的,下面是我的意见,提出来请大家研究和指正!第一,张先生说:“公理系统往往选择作常识所能够判断的显然成立的一些事实,这样可使我们研究的对象接近生活中客观世界,……”这样提法,不能赞同.因为,用常识判断的显然成立的事实作公理系统,是靠什么作为指导思想用常识就能判断显然成立的公理系统
The article “Objects in Geometry” written by Mr. Zhang Sucheng published in September 1958 in the Mathematics Bulletin, I read it several times and felt this article. What is the author’s opinion? It is worth studying, the following is my opinion, put forward to please everyone to study and correct me! First, Mr. Zhang said: “Axiom systems are often selected as common sense to be able to determine the apparent facts established, so that we can study the object To approach the objective world of life, ... ” This formulation is not supported. Because the facts established by common sense are clearly established, the axiom system is based on what is used as a guiding ideology and common sense systems can be judged to be obviously established.