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[组合] “无限层”的集合

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hbghlyj Posted 2023-7-19 05:09 |Read mode

Last edited by hbghlyj 2023-7-19 05:47在ZF中，不存在集合$x$满足$x\in x$，集合的属于关系是acyclic graph。
main-qimg-33d6a1f0be82492365edb88faf063695[1].png

main-qimg-33d6a1f0be82492365edb88faf063695[1].png

因为$x\cap\{x\}=x$违反了Axiom of Regularity。[来自Quora]

集合论, 集合

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