Skip to main content
7 events
when toggle format what by license comment
Jan 19, 2023 at 20:08 history edited Zuhair Al-Johar CC BY-SA 4.0
deleted 10 characters in body
Jan 19, 2023 at 16:52 comment added Zuhair Al-Johar Thanks! That's what I was searching for.
Jan 19, 2023 at 16:51 vote accept Zuhair Al-Johar
Jan 19, 2023 at 16:37 comment added Holo @ZuhairAl-Johar I am using the fact that "being an ordinal" is absolute between transitive models, you don't need them to be models of ZF ("$x$ is an ordinal" is $\Delta_0$), but yes, I did use that fact. With a bit more effort you can show that even if we don't assume $W_0$ is transitive your strong reflection principle implies "being is ordinal" is absolute between $V$ and $W_0$
Jan 19, 2023 at 16:23 comment added Zuhair Al-Johar Are you using absolutness of "..is an ordinal" over transitive models of ZF in the last step, because $r$ is seen by $W_0$ as ordinal, it need not be so externally unless you are using some kind of absolutness of ordinality over $W_0$.
Jan 19, 2023 at 15:47 history edited LSpice CC BY-SA 4.0
Typo and tidying
Jan 19, 2023 at 13:42 history answered Holo CC BY-SA 4.0