this is not intended as any kind of rebuttal, but the Santa Fe campus of St. John's has an Asian classics graduate degree which brings in some missing material

this is not intended as any kind of rebuttal, but the Santa Fe campus of St. John's has an Asian classics graduate degree which brings in some missing material from the Indian subcontinent (and elsewhere, of course, but you specifically mentioned India). I don't recall if it addresses math in particular, however. my guess is no. the grad school is kind of eager about granting people excuses to skip math, and I get the impression that they have to be, because otherwise they'd go out of business. anyway, if you did both that degree and the undergraduate degree, you could claim a more credible, globe-spanning Great Books education, although it would still have plenty of caveats and flaws.