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by sswatson 54 days ago
You're conflating two points: (1) learning math requires work, not just watching videos, and (2) learning math requires proofs, not just intuition and analogies.

Both are true but only the first is pertinent, because 3b1b videos typically contain complete mathematical arguments, not just intuition.

1 comments

But 3b1b videos provide neither (1) nor (2).

And they don't claim to either.

I don't agree. Many 3b1b videos provide a rigorous mathematical argument in the usual sense (i.e., they don't contain every conceivable detail — math papers don't do that either — but the gap from what is explained to rigorous-as-you-like is routine).

As a representative example, consider his video on the Basel problem. The video features geometric intuition, but it is intuition that drives a proof that is being presented. There's nothing hand-wavy about it.