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Eliezer, doesn't "math mysteriously exists and we live in it" have one less mystery than "math mysteriously exists and the universe mysteriously exists and we live in it"? (If you don't think math exists it seems like you run into indispensability arguments.)
IIRC the argument for a low-entropy universe is anthropic, something like "most non-simple universes with observers in them look like undetectably different variants of a simple universe rather than universes with dragons in them".
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