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Sep 5, 2018 at 8:45 comment added Ralf Schindler Thanks, Keith, this was a typo. I meant ZFC${}^-$ rather than ZFC, I edited and clarified.
Sep 5, 2018 at 8:43 history edited Ralf Schindler CC BY-SA 4.0
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Sep 5, 2018 at 2:30 comment added Keith Millar Do you mean "assuming there are models of ZFC" because $L_{\mathcal{t}}$ exists under ZFC in every model, even in pointwise definable models.
Sep 4, 2018 at 20:34 vote accept Keith Millar
Sep 4, 2018 at 13:20 history edited Ralf Schindler CC BY-SA 4.0
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Sep 4, 2018 at 12:30 comment added Asaf Karagila Well. The least $\gamma$ for which $L_\gamma$ is a model of ZFC also satisfies that it is a pointwise definable model. So certainly all the ordinals there are definable...
Sep 4, 2018 at 12:16 comment added Ralf Schindler "fully elementary"
Sep 4, 2018 at 12:15 comment added Gro-Tsen By $\prec$, do you mean "elementary submodel" or "$\Sigma_1$-elementary submodel"?
Sep 4, 2018 at 12:10 history edited Ralf Schindler CC BY-SA 4.0
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Sep 4, 2018 at 12:02 history answered Ralf Schindler CC BY-SA 4.0