INDEPENDENCE, RANDOMNESS AND THE AXIOM OF CHOICE

被引：12

作者：

VANLAMBALGEN, M

机构：

来源：

JOURNAL OF SYMBOLIC LOGIC | 1992年 / 57卷 / 04期

关键词：

D O I：

10.2307/2275368

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We investigate various ways of introducing axioms for randomness in set theory. The results show that these axioms, when added to ZF, imply the failure of AC. But the axiom of extensionality plays an essential role in the derivation, and a deeper analysis may ultimately show that randomness is incompatible with extensionality.

引用

页码：1274 / 1304

页数：31

共 50 条

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