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Blueberry comments on Shock Level 5: Big Worlds and Modal Realism - Less Wrong
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Yes. Tegmark talks about four levels of multiverses: MWI is level 3, and the mathematical universe is level 4.
Oh, hah, that was pretty silly of me. I'd forgotten that distinction.
On that note, ISTM that the "levels" don't really form a total order - rather than 0-1-2-3-4, it seems more like 0-1-2-4 and 0-3-4 with 3 incomparable to 1 and 2.
Yeah, Tegmark says that level 3 doesn't give you anything bigger than 1 and 2 together do.