Grant Sanderson (@3blue1brown) — Past, present, & future of mathematics

格兰特·桑德森(@3blue1brown)——数学的过去、现在与未来

Dwarkesh Podcast

2023-10-12

1 小时 31 分钟
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单集简介 ...

I had a lot of fun chatting with Grant Sanderson (who runs the excellent 3Blue1Brown YouTube channel) about: - Whether advanced math requires AGI - What careers should mathematically talented students pursue - Why Grant plans on doing a stint as a high school teacher - Tips for self teaching - Does Godel’s incompleteness theorem actually matter - Why are good explanations so hard to find? - And much more Watch on YouTube. Listen on Spotify, Apple Podcasts, or any other podcast platform. Full transcript here. Timestamps (0:00:00) - Does winning math competitions require AGI? (0:08:24) - Where to allocate mathematical talent? (0:17:34) - Grant’s miracle year (0:26:44) - Prehistoric humans and math (0:33:33) - Why is a lot of math so new? (0:44:44) - Future of education (0:56:28) - Math helped me realize I wasn’t that smart (0:59:25) - Does Godel’s incompleteness theorem matter? (1:05:12) - How Grant makes videos (1:10:13) - Grant’s math exposition competition (1:20:44) - Self teaching Get full access to Dwarkesh Podcast at www.dwarkesh.com/subscribe
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  • The videos were really inspiring.

  • You're the reason I'm going into grad school.

  • And there's this little bell in the back of my mind that's like, do I want that?

  • To get more people going into math PhDs?

  • Math, academia, finance, and computer science almost certainly have an overallocation of talent.

  • Actually,

  • I'm quite determined at some point to be a high school math teacher for some number of years.

  • Math lends itself to synthetic data, how AlphaGo is trained.

  • You could have it.

  • produce a lot of proofs and just drain on a whole bunch of those.

  • And the thing that takes at most 30 minutes of the teacher's time, maybe even 30 seconds,

  • has these completely monumental rippling effects for the life of the student they were talking to that then sets them on this whole different trajectory.

  • Okay, today I have the pleasure of interviewing Grant Sanderson of the YouTube channel 3Blue1Brown.

  • You all know who Grant is.

  • I'm really excited about this one.

  • By the time that an AI model can get gold in the International Math Olympiad,

  • is that just AGI,

  • given the amount of creative problem solving and chain of thought required to do that?

  • I, to be honest, have no idea what people mean when they use the word AGI.

  • I think if you ask 10 different people what they mean by it,