TsviBT comments on Mixed Reference: The Great Reductionist Project - Less Wrong
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Agreed. The number two is ridiculous and can't exist. Once you allow stuff to have a physical kind and a logical kind, what's to stop you from adding other kinds like degree-of-realness and Buddha-nature?
OTOH, logical abstractions steadfastly refuse to be reduced to physics. There may be hope for the other way around, a solution to "Why does stuff exist?" that makes the universe somehow necessary. (Egan's "conscious minds find themselves" is cute but implies either chaotic observations or something to get the minds started.) But we can't be very optimistic.
For math as mere physics, see Egan's Luminous.