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Timeline for Fine structure without choice

Current License: CC BY-SA 4.0

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Oct 14 at 16:51 comment added Dmytro Taranovsky @AsafKaragila Reinhardt cardinals are for motivation rather than a one-day answer. But maybe supercompact cardinals already have certain anti-inner-model behavior, making AC fail in fine-structural models for them. And choiceless (AD) models are already crucial at the level of Woodin cardinals, and an answer might say more about how adding extenders in a canonical manner can lead (without forcing) to models of AD, including the examples given. Or perhaps choiceless fine structure is already used somewhere else I overlooked.
Oct 14 at 6:35 comment added Asaf Karagila You're going as far as Reinhardt cardinals? Maybe we can first get fine structural models for supercompact or extendible cardinals with choice?
Oct 13 at 23:47 history edited LSpice CC BY-SA 4.0
Link to article; TeX
Oct 13 at 23:31 history asked Dmytro Taranovsky CC BY-SA 4.0