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数学悖论研究
引用本文:束永祥,卢蕊.数学悖论研究[J].镇江高专学报,2009,22(1):53-58.
作者姓名:束永祥  卢蕊
作者单位:1. 镇江高等专科学校,教师教育系,江苏丹阳,212300
2. 镇江高等专科学校,科技与产业处,江苏镇江,212003
摘    要:悖论是一种特殊的逻辑矛盾,它具有相对存在性、可解决性、创新性等特点。在数学发展史中,最著名的3个悖论分别是“毕达哥拉斯悖论”、“贝克莱悖论”、“集合论悖论”,悖论对数学发展起着巨大的推动作用。研究悖论对数学的发展和数学教育都有一定的现实意义。

关 键 词:数学悖论  毕达哥拉斯悖论  贝克莱悖论  集合论悖论

Research on mathematic paradox
SHU Yong-xiang,LU Rui.Research on mathematic paradox[J].Journal of Zhenjiang College,2009,22(1):53-58.
Authors:SHU Yong-xiang  LU Rui
Institution:1. Teacher's Training Department, Zhenjiang College, Danyang 212300, China;2. Science and Technology Department, Zhenjiang College, Zhenjiang 212003, China)
Abstract:Paradox is a particular logic contradiction with characteristics of relative exisiten, solubility and and innovativity. In the history of mathematics, the most famous paradoxes are Pythagoras paradox, Berkeleia paradox,Set theoretical paradox. Paradox made a big pushing role in mathematics. Therefore, research on paradox is of real significance in mathematics development and education.
Keywords:mathematic paradox  Pythagorax paradox  Berkeleia paradox  Set theoretical paradox
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