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?
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? 

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