芝诺悖论分析及极限解释  

Analysis of Zeno's Paradox and Its Limit Explanation

作　　者：韩锐锋[1] 冯炎[1] 郝自军[1] 

机构地区：[1]北方民族大学数学与信息科学学院,宁夏银川750021

出　　处：《宁夏师范学院学报》2016年第6期106-109,共4页Journal of Ningxia Normal University

基　　金：宁夏自然科学基金项目(NZ16093);自治区级大学生创新创业训练计划(QJCX-2015-034)

摘　　要：讨论了几个芝诺悖论的矛盾点,然后利用级数理论及极限思想解释悖论.澄清为什么这类悖论正反对立的两面是同时成立的,阐明数学理论及思想的强大作用.We first discuss several contradiction points of zeno＇s paradox,and then explain paradox by using series theory and limit idea. Our work clarify the reason that the two opposing sides of this kind of paradox are all formed at the same time,and illustrate that the powerful role of mathematical theory and thinking.

关 键 词：芝诺悖论 无穷级数 无穷小量 

分 类 号：O173[理学—数学]