论文标题
超级莱因哈特红衣主教对Reinhardt的反射较弱
A weak reflection of Reinhardt by super Reinhardt cardinals
论文作者
论文摘要
我们证明了Super Reinhardt Cardinals的Reinhardt Cardinals反射的削弱版本：让$ M =（V^M，P）$是二阶集合理论$ \ MATHSF {ZF} _2 $的可数模型（带有Universe $ V^M $和类$ P $）哪些型号” $κ$ rain rain tar。我们表明，有许多$μ<κ$，因此有$ J $，因此$（v^m，j）$型$ \ mathsf {zf}（j）+$ $ $ $ $ $ $ $ $ $ reinhardt，如$ j $所见。特别是，$ j \ upharpoonright x \在v^m $ in v^m $中的v^m $中（但我们允许$ j \ notin p $）。
We prove a weakened version of the reflection of Reinhardt cardinals by super Reinhardt cardinals: Let $M=(V^M,P)$ be a countable model of second order set theory $\mathsf{ZF}_2$ (with universe $V^M$ and classes $P$) which models "$κ$ is super Reinhardt". We show that there are unboundedly many $μ<κ$ such that there is $j$ such that $(V^M,j)$ models $\mathsf{ZF}(j)+$"$μ$ is Reinhardt, as witnessed by $j$". In particular, $j\upharpoonright X\in V^M$ for all $X\in V^M$ (but we allow $j\notin P$).
