| 第一次数学危机及其意义探析 |
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| 引用本文： | 张今杰,陈华.第一次数学危机及其意义探析[J].宁波大学学报(人文科学版),2011,24(6):7-12. |
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| 作者姓名： | 张今杰 陈华 |
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| 作者单位： | 湘潭大学毛泽东思想研究中心,湖南湘潭,411105 |
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| 基金项目： | 国家社科基金项目，湖南省教育厅优秀青年项目 |
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| 摘 要： | 2的出现动摇了毕达哥拉斯的＂数本论＂的信念根基,导致了数学史上第一次危机。第一次数学危机的本质在于悖论及其内含的无限性概念。第一次数学危机带来了希腊数学界的极大混乱,但危机的解决带来了数学公理化体系和逻辑学的发展。
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| 关 键 词： | 悖论 无理数 数学危机 “万物皆数” 公理化体系 |
On the First Mathematical Crisis and its Significance |
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| ZHANG Jin-jie,CHEN Hua.On the First Mathematical Crisis and its Significance[J].Journal of Ningbo University(Liberal Arts Edition),2011,24(6):7-12. |
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| Authors: | ZHANG Jin-jie CHEN Hua |
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| Institution: | ZHANG Jin-jie,CHEN Hua(Center for Studies of Ma Zedong Thought,Xiangtan University,Xiangtan 411105,China) |
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| Abstract: | The discovery of 2 shook the very foundation of Pythagoras’ theory of ＂All Things are Numbers＂ thus leading to the first mathematical crisis in the history of mathematics.The essence of the first mathematical crisis lies in its paradox and the concepts of ＂infinity＂.It brought great chaos to Greece mathematical community;The solution of the crisis,however,has brought a mathematical axiom system and an opportunity of logic development. |
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| Keywords: | paradox irrational number mathematical crisis ＂all Things are Numbers＂ axiomatic System |
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