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by ksd482 52 days ago
> I like YouTube content like 3Blue1Brown

You are the first one I know who said that. Thank you for saying that!

I think his videos are amazing but they are NOT meant to teach you the material.

They are providing a high level intuition which I haven’t found the use for yet.

Perhaps it’s just me, but I do NOT learn from intuition and analogies at all. I need to get lost in the details and rigor first, and then develop my own intuition second, and maybe look at someone else’s intuition third, maybe.

1 comments

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.

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.