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32
votes
Reflection principle vs universes
I'm going to go out on a limb and suggest that the book HTT never uses anything stronger than replacement for $\Sigma_{15}$-formulas of set theory. (Here $15$ is a randomly chosen large number, and HT …
29
votes
Accepted
Reflection principle vs universes
Reflecting on Gabe's comment on my original answer, I now think what I wrote is misleading because it conflates two separate (but related) assertions:
The existence of strongly inaccessible cardinals …