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then I guess I'm not exactly sure what your original point was? All math is valid, just some math is useful for building things, but the math that is useful for building things is not social?
Maybe all math is valid but only some math is sound
With respect to the original tweet, is "sound" what you are defining as "the part of math that is not a social activity"?
I think so, albeit indirectly. Math practiced without any interaction with anything at all would be private language I think
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