[yesenadam]

Another Q:

It's been said about many things that they can't be taught, only learnt. (e.g. Botvinnik—founder of the "Russian school of chess"—said it about chess, I say it about jazz, Oakeshott's Rationality in Politics is about that)

Is that true of programming also?

Maybe that's what the article's saying—you have to learn for yourself. Well, there are typically a lot of Exercises in maths books because that's how you learn that stuff, by seeing for yourself, working things out, not from just being told it.