Timeline for Does adding definability axiom expressed in infinitary language to ZF, let all models be pointwise definable?
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3 events
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Jun 8, 2023 at 16:51 | vote | accept | Zuhair Al-Johar | ||
Jun 8, 2023 at 16:50 | comment | added | Zuhair Al-Johar | So the usual upward Löwenheim–Skolem theorem fails drastically here. This is similar to the situation of characterizing the standard model of arithmetic in $\mathcal L_{\omega_1, \omega}$, where all models are countable! Thanks a lot. | |
Jun 8, 2023 at 11:07 | history | answered | Joel David Hamkins | CC BY-SA 4.0 |