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I'm not really sure what to say to this, other than watch this video and apply similar thinking to this problem: https://www.youtube.com/watch?v=EK32jo7i5LQ

The leaf structure itself doesn't really have anything to do with ZF set theory or Von Neumann ordinals, other than supplying the inspiration for the base structure. Same way prime numbers don't generate the spirals in the video, all numbers do. So leave the ordinals out of this, experiment with different tree construction methods and you might uncover something cool about trees (but not necessarily about set theory)




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