| 非良基集合理论的研究及其应用 |
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| 引用本文： | 杜文静.非良基集合理论的研究及其应用[J].毕节学院学报,2011,29(8):1-4,53. |
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| 作者姓名： | 杜文静 |
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| 作者单位： | 华东政法大学人文学院,上海,201620 |
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| 摘 要： | 近年来,随着科学的发展人们发现循环现象无处不在,它的研究越来越受到人们的关注。为了对各种循环现象做出解释,集合论的研究从良基集合延伸到非良基集合(也叫超集合),在此基础上,论述四种不同的非良基公理及其集合全域:A,S,F,和B,并且讨论了非良基集合在计算机科学、哲学和模态逻辑等领域的广泛应用。
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| 关 键 词： | 良基集合 非良基集合 集合全域 |
The Study of Non-well-founded Set and Its Application |
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| DU Wen-jing.The Study of Non-well-founded Set and Its Application[J].Journal of Bijie University,2011,29(8):1-4,53. |
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| Authors: | DU Wen-jing |
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| Institution: | (School of Humanities,East China University of Political Science and Law,Shanghai 201620,China) |
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| Abstract: | In recent years, since a great deal of circular phenomenon, there has been a furry of interest in them. To explain various circular phenomenon, the study of set theory extended well-founded sets to non-well-founded set. Based on this basis, the paper discusses the four different non-well-founded axioms and four different set universes A, S, F, and B, respectively. In addition, we introduced the application of non-well-foundod set in computer science, philosophy, modal logic and other areas. |
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| Keywords: | Well-founded Set Non-well-founded Set Set Universe |
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