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Terence Tao

πŸ‘€ Speaker
3220 total appearances

Appearances Over Time

Podcast Appearances

Lex Fridman Podcast
#472 – Terence Tao: Hardest Problems in Mathematics, Physics & the Future of AI

Wiemann had developed Riemannian geometry, which is precisely a theory of spaces that are curved in various general ways, which turned out to be almost exactly what was needed for Einstein's theory.

Lex Fridman Podcast
#472 – Terence Tao: Hardest Problems in Mathematics, Physics & the Future of AI

This is going back to Wiemann's unreasonable effectiveness on mathematics, I think.

Lex Fridman Podcast
#472 – Terence Tao: Hardest Problems in Mathematics, Physics & the Future of AI

The theories that work well to explain the universe tend to also involve the same mathematical objects that work well to solve mathematical problems.

Lex Fridman Podcast
#472 – Terence Tao: Hardest Problems in Mathematics, Physics & the Future of AI

Ultimately, they're just both ways of organizing data in useful ways.

Lex Fridman Podcast
#472 – Terence Tao: Hardest Problems in Mathematics, Physics & the Future of AI

Yeah, that was a leading candidate for many decades.

Lex Fridman Podcast
#472 – Terence Tao: Hardest Problems in Mathematics, Physics & the Future of AI

I think it's slowly falling out of fashion because it's not matching experiment.

Lex Fridman Podcast
#472 – Terence Tao: Hardest Problems in Mathematics, Physics & the Future of AI

what that reality really is like this is why analogies are so important you know i mean so yeah the round earth is not intuitive because we're stuck on it um but you know but you you know but round objects in general we have pretty good intuition a little bit uh and we have interest about light works and so forth and like it's it's actually a good exercise to actually work out how eclipses and phases of the sun and the moon and so forth can be really easily explained by by by round earth and round moon you know um

Lex Fridman Podcast
#472 – Terence Tao: Hardest Problems in Mathematics, Physics & the Future of AI

models.

Lex Fridman Podcast
#472 – Terence Tao: Hardest Problems in Mathematics, Physics & the Future of AI

And you can just take, you know, a basketball and a golf ball and a light source and actually do these things yourself.

Lex Fridman Podcast
#472 – Terence Tao: Hardest Problems in Mathematics, Physics & the Future of AI

So the intuition is there, but you have to transfer it.

Lex Fridman Podcast
#472 – Terence Tao: Hardest Problems in Mathematics, Physics & the Future of AI

Right, yeah.

Lex Fridman Podcast
#472 – Terence Tao: Hardest Problems in Mathematics, Physics & the Future of AI

So modern science is maybe, again, a victim of its own success is that

Lex Fridman Podcast
#472 – Terence Tao: Hardest Problems in Mathematics, Physics & the Future of AI

in order to be more accurate, it has to move further and further away from your initial intuition.

Lex Fridman Podcast
#472 – Terence Tao: Hardest Problems in Mathematics, Physics & the Future of AI

And so, for someone who hasn't gone through the whole process of science education, it looks more and more suspicious because of that.

Lex Fridman Podcast
#472 – Terence Tao: Hardest Problems in Mathematics, Physics & the Future of AI

So, you know, we need more grounding.

Lex Fridman Podcast
#472 – Terence Tao: Hardest Problems in Mathematics, Physics & the Future of AI

I mean, I think, I mean, you know, there are scientists who do excellent outreach, but there's lots of science things that you can do at home.

Lex Fridman Podcast
#472 – Terence Tao: Hardest Problems in Mathematics, Physics & the Future of AI

There's lots of YouTube videos.

Lex Fridman Podcast
#472 – Terence Tao: Hardest Problems in Mathematics, Physics & the Future of AI

I did a YouTube video recently with Grant Sanderson.

Lex Fridman Podcast
#472 – Terence Tao: Hardest Problems in Mathematics, Physics & the Future of AI

We talked about this earlier.

Lex Fridman Podcast
#472 – Terence Tao: Hardest Problems in Mathematics, Physics & the Future of AI

But