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Aug 2, 2022 at 13:20 comment added Asaf Karagila Because the set-wise parts of the embeddings are in the universe, but you can't use them to define the whole embedding. Similarly, if you are a critical cardinals, and it might be that the small parts of your embedding are "in the universe", but you can't condense them to a global embedding.
Aug 2, 2022 at 12:31 comment added Noah Schweber @AsafKaragila I'm not sure how related that actually is, but it's a good (maybe better) question!
Aug 2, 2022 at 12:31 vote accept Noah Schweber
Aug 2, 2022 at 4:50 answer added Gabe Goldberg timeline score: 7
Aug 2, 2022 at 0:00 comment added Asaf Karagila Vaguely related question in the choiceless context, is it possible for $\kappa$ to be a critical point of an elementary embedding $V_{\kappa+1}\to N$, where $N$ is a transitive set; but there is no embedding $V\to M$ with critical point $\kappa$?
Aug 1, 2022 at 22:00 history edited Noah Schweber CC BY-SA 4.0
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Aug 1, 2022 at 20:34 history asked Noah Schweber CC BY-SA 4.0