数学严谨性分析  

Mathematical rigor analysis

作　　者：丁传松 DING Chuan-song(School of Mathematics and Statistics,Northwest Normal University,Lanzhou 730070,Gansu,China)

机构地区：[1]西北师范大学数学与统计学院,甘肃兰州730070

出　　处：《西北师范大学学报（自然科学版）》2022年第5期1-5,共5页Journal of Northwest Normal University(Natural Science)

摘　　要：数学是一门严谨的学科,其严谨性已为社会普遍认同,也为其他学科所效法;任何学科的严谨性总是相对的,有时代性,也与人们当时的认知能力有关,数学学科的严谨性更是如此;数学严谨性最大的挑战者是“无穷”,随着数学对“无穷”认识的深化,它的严谨性得到了极大提高;另一方面,不拘泥于严谨性、适当冲破严谨性,也是一种思路创新.Mathematics is a rigorous discipline,its rigor has been widely recognized by the society,but also imitated by other disciplines.The rigor of any discipline is always relative and epochal,it is related to people s cognitive ability at that time,especially the rigor of mathematics.The biggest challenger of mathematical rigor is infinity,its rigor has been greatly improved with the deepening of mathematics understanding of infinity.On the other hand,breaking through rigor appropriately is also an innovation.

关 键 词：数学严谨性 微积分 自然哲学 悖论 发散级数 

分 类 号：G642.41[文化科学—高等教育学]