You'd have to rename them if you changed the definition. If you make INT reflects formal education, you'd legitimately have groups of sapient beings adopting form of social and spacial organizations less propitious to the emergence of institutions of specialized learning (available or even mandatory) to get a collective INT penalty, even if PCs could overcome it, maybe by benefitting from a time outside the standards of those spatial and social organisations (or by virtue of floating ASIs). I fear this would elicit a strong negative reaction due to the wider meaning of this stat name.I think you could easily rename intelligence and wisdom to knowledge and awareness, and it would make pretty decent sense. Not that I really have a huge problem with their current names.
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