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Apr 5, 2018 at 11:53 comment added Monroe Eskew I would call the $\mathbb P_\infty$ embedding "virtually Reinhardt"!
Nov 28, 2016 at 0:05 vote accept Dan Saattrup Nielsen
Nov 28, 2016 at 0:04 answer added Dan Saattrup Nielsen timeline score: 2
Nov 20, 2016 at 21:40 comment added Asaf Karagila @Yair: So the generic multiverse of a model with a proper class of Woodins is "Where the Wild Things Are"?
Nov 20, 2016 at 15:20 comment added Yair Hayut This is probably weaker than it sounds. By the same arguments, one Woodin cardinal is enough in order to make $\omega_1$ "generically almost-huge". It is not as useful as it sounds, since the forcing that adds this embedding is very wild.
Nov 19, 2016 at 16:49 history asked Dan Saattrup Nielsen CC BY-SA 3.0