If there is a nontrivial elementary embedding $j:V \to V$, then there is a universe which contains all the large cardinals.
Is there such a universe? Does this imply there is one universe from which we force as many extensions as possible?
closed as unclear what you're asking by Andres Caicedo, Bjørn Kjos-Hanssen, Neil Strickland, j.c., Stefan Kohl Feb 13 at 10:22
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