If only we could put together, say, a four-year college degree course intended to have this effect ...
I think that's a super idea. I'd like to design it and I'd like to take it. The ideas that underlie everything else. Like a whole university course devoted to A-level maths, but covering every simple underlying idea. We should start by trying to work out what the syllabus should be.
(one 16 lecture course on each topic, and we'll have three courses per term so that's 36 courses in total)
Off the top of my head we should have: groups, calculus, dimensional analysis, estimation, probability (inc bayes), relativity, quantum mechanics, electronics, programming, ...
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