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Sep 15, 2023 at 22:00 comment added Joel David Hamkins Vika Gitman and I are thinking about the uncountable case, and I will report back if we figure anything out. I'm inclined to expect counterexamples in the uncountable case, but the fact that the additive cluster structures knows the standard system and the order isomorphism type of the original model is confabulating.
Sep 15, 2023 at 21:53 comment added Holo Amazing result! I'm surprised about how hard it is to see. Intuitively I would imagine that there is a clever encoding that will immediately give a way to recover the additive reduction of the original model. And I'm very surprised about the multiplicative result
Sep 15, 2023 at 21:50 vote accept Holo
Sep 14, 2023 at 12:14 history edited Joel David Hamkins CC BY-SA 4.0
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Sep 14, 2023 at 11:34 history edited Joel David Hamkins CC BY-SA 4.0
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Sep 13, 2023 at 19:04 history edited Emil Jeřábek CC BY-SA 4.0
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Sep 13, 2023 at 18:47 history answered Joel David Hamkins CC BY-SA 4.0