Absolute madmanpic.twitter.com/IhnkoosYdd
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On Tuesday I was trying to find a way to emphasize to my students how weird the set of all sets would be and I realized it wasn't "grounded," infinite descent of membership, but now I find out from you that there are non-well-founded set theories for the first time...
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There's actually a much simpler non-wellfounded set theory if you take a wellfounded model and consider graphs built up from the elements (with some constraints) . The second addendum of Moschovakis' set theory textbook gives a nice short explanation. https://en.wikipedia.org/wiki/Aczel%27s_anti-foundation_axiom …
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