| 一种集合分层及其哲学意蕴 |
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| 引用本文： | 邢滔滔. 一种集合分层及其哲学意蕴[J]. 中山大学学报论丛, 2000, 0(2) |
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| 作者姓名： | 邢滔滔 |
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| 作者单位： | 北京大学哲学系 北京 |
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| 基金项目： | 宋文坚教授主持的国家八五研究项目 |
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| 摘 要： | 该文从简到繁讨论了各种类型的集合论及支持它们的数学和哲学理论。拓展了贝奈斯和王浩的工作,在数学和哲学角度建立了集合分层理论,解除各类型集合论间的对立,使它们相互补充,从而使它们在数学和哲学上达到一致成为可能。
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| 关 键 词： | 集合分层 有穷集 无穷集 可数集 不可数集 |
On the Philosophical Hierachy of Set Theories |
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| XING Tao-tao. On the Philosophical Hierachy of Set Theories[J]. Studies in Logic, 2000, 0(2) |
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| Authors: | XING Tao-tao |
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| Affiliation: | XING Tao-tao |
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| Abstract: | We will consider the spectrum of sets from the simplest through to the most complex, and discuss the most distinguished mathematical and philosophical theories accommodating them. Following Paul Bernays and Hao Wang, we establish a mathematical and philosophical hierarchy of set theories, which forms a sequence of successive extensions, each of them complementary rather than conflicting to another. This opens the possibility of combining both mathematically and philosophically the various theories into a united outlook. |
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| Keywords: | hierachy of set theories finit set infinit set countable set incountable set |
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