| 集合论悖论与辩证逻辑 |
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| 引用本文： | 何建南.集合论悖论与辩证逻辑[J].五邑大学学报(社会科学版),2001,3(1):6-13. |
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| 作者姓名： | 何建南 |
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| 作者单位： | 五邑大学社会科学与艺术部, |
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| 摘 要： | 从辩证逻辑视角出发，对无穷集合论的基本思想、认识论背景、悖论表现形式、矛盾消除方案及悖论实质作了系统的评述。指出无穷集合既是最大的集合(即实无穷集合成完全的集合)，又不是最大的集合，而是潜无穷集合或不完全的集合。其辩证本质即在于此。
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| 关 键 词： | 康托尔 无穷集合论 罗素 悖论 辩证逻辑 |
| 文章编号： | 1009-1513(2000)04-0006-08 |
| 修稿时间： | 2000年4月26日 |
Paradox of Set Theory and Dialectical Logic |
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| HE Jian-nan.Paradox of Set Theory and Dialectical Logic[J].Journal of Wuyi University(Social Sciences Edition),2001,3(1):6-13. |
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| Authors: | HE Jian-nan |
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| Abstract: | Setting out from the dialectical logic perspective, this thesis has made a systematic comment on the basic ideas of infinite set theory, the epistemological background, the manifestation of paradoxes, the contradiction eliminating scheme and the essence of paradoxes, and has pointed out that the infinite set not only is but also is not the greatest set (i. e. the set of real infinity or the complete set), and it is the set of potential infinity or incomptete set. This is the essence of paradoxes of the infinite set. |
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| Keywords: | G Cantor Infinite Set Theory B Russel Paradox Diateclical Logic |
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