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Feb 18, 2022 at 20:33 comment added Noah Schweber Nice! And this isn't limited to $\mathsf{SOL}$, since we can reason about automorphically-fixed sets more generally: no "reasonable" logic $\mathcal{L}$ capable of defining Dedekind-completeness has the weak test property.
Feb 18, 2022 at 19:29 history bounty ended Noah Schweber
Feb 18, 2022 at 19:29 vote accept Noah Schweber
Feb 18, 2022 at 18:10 history answered Farmer S CC BY-SA 4.0