correct. this is also why math was my favorite subject in school, because it required the least amount of memorization if i could just rederive everything on the spot https://twitter.com/NLRG_/status/1439615066303827968…
most other subjects i think were ruined by a lack of contact with the actual thing the subject was about. we studied history without touring ancient ruins or whatever. we studied biology without visiting jungles and forests. but math you actually can touch in a classroom