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Oct 25 at 8:15 comment added Zuhair Al-Johar @EmilJeřábek, the idea of the proof is that if we have that set then we can easily have a transitive closure for each set (since that would be stratified), then the set $\{x: x \notin TC(\{ \{y\} \mid y \in x\})\}$ would be paradoxical. Where $TC$ stand for the transitive closure operator. An unpublished proof of Boffa.
Oct 24 at 18:44 vote accept Zuhair Al-Johar
Oct 24 at 18:26 comment added Emil Jeřábek Could you perhaps add a sketch of the argument? Or is it too complicated?
S Oct 24 at 18:08 review First answers
Oct 24 at 18:52
S Oct 24 at 18:08 history answered Sumac CC BY-SA 4.0