Completely agree with this. I used to marvel/sob quietly at how an entire PhD/lifetime's work could be summarized into a single sentence in a given textbook, b

Completely agree with this. I used to marvel/sob quietly at how an entire PhD/lifetime's work could be summarized into a single sentence in a given textbook, but human's single greatest advantage is that we can absorb other people's knowledge and wisdom orders of magnitude faster than it took them to acquire it. A given human life is finite in length and that length is relatively narrow in distribution. We are able to progress as a race as we don't have to waste time relearning how to start fire or engineer a wheel from first principles, much less derive calculus in the absence of other knowledge. If only we could find ways to teach current maths at a younger age, we would faster raise the next generation of mathematicians!