It is always the case, with mathematics, that a little direct experience of thinking over things on your own can provide a much deeper understanding than merely reading about them.
Intelligence cannot be present without understanding. No computer has any awareness of what it does.
Well, gauge theory is very fundamental to our understanding of physical forces these days. But they are also dependent on a mathematical idea, which has been around for longer than gauge theory has.
Understanding is, after all, what science is all about — and science is a great deal more than mindless computation.
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