为什么选择公理有时会失败

I. Pallares-Vega
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引用次数: 0

摘要

早期围绕选择公理的争论是众所周知的,正如随后关于它与其他数学命题的依赖或等价的许多结果一样。本文的重点不在于该公理的逻辑地位,而在于说明为什么它在某些范畴内不成立。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
Why the Axiom of Choice Sometimes Fails
The early controversies surrounding the axiom of choice are well known, as are the many results that followed concerning its (in)dependence from, and equivalence to, other mathematical propositions. This paper focuses not on the logical status of the axiom but rather on showing why it fails in certain categories.
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