cousin_it comments on Leveling IRL - Less Wrong Discussion
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Right now I'm most interested in "generic human levels", but several people here in the comments have independently expressed interest in the idea of "badges" for specialists. Perhaps you could make something out of it? :-)
It seems to me that badges are what you get when your levels become too specific.
Like, if we can't agree on math badges and split it up by subfield (say, calculus, statistics, graph theory, topography, cryptology, etc.) and then can't agree on levels (what comes first, optimizing multivariable functions, or Taylor series?) then you essentially just collect badges in a bunch of fields.