Lex Fridman Podcast
#472 โ Terence Tao: Hardest Problems in Mathematics, Physics & the Future of AI
But they can get closer over time.
Lex Fridman Podcast
#472 โ Terence Tao: Hardest Problems in Mathematics, Physics & the Future of AI
The process of getting closer often means that you have to discard your initial intuitions.
Lex Fridman Podcast
#472 โ Terence Tao: Hardest Problems in Mathematics, Physics & the Future of AI
Astronomy provides great examples.
Lex Fridman Podcast
#472 โ Terence Tao: Hardest Problems in Mathematics, Physics & the Future of AI
An initial model of the world is flat because it looks flat, and it's big.
Lex Fridman Podcast
#472 โ Terence Tao: Hardest Problems in Mathematics, Physics & the Future of AI
The rest of the universe, the sun, for example, looks really tiny.
Lex Fridman Podcast
#472 โ Terence Tao: Hardest Problems in Mathematics, Physics & the Future of AI
And so you start off with a model, which is actually really far from reality, but it fits kind of the observations that you have.
Lex Fridman Podcast
#472 โ Terence Tao: Hardest Problems in Mathematics, Physics & the Future of AI
So things look good, but over time, as you make more and more observations, bring it closer to reality, the model gets dragged along with it.
Lex Fridman Podcast
#472 โ Terence Tao: Hardest Problems in Mathematics, Physics & the Future of AI
And so over time, we had to realize that the Earth was round,
Lex Fridman Podcast
#472 โ Terence Tao: Hardest Problems in Mathematics, Physics & the Future of AI
that it spins, it goes around the solar system, the solar system goes around the galaxy, and so on and so forth.
Lex Fridman Podcast
#472 โ Terence Tao: Hardest Problems in Mathematics, Physics & the Future of AI
And the universe is expanding.
Lex Fridman Podcast
#472 โ Terence Tao: Hardest Problems in Mathematics, Physics & the Future of AI
Expansion is self-expanding, accelerating.
Lex Fridman Podcast
#472 โ Terence Tao: Hardest Problems in Mathematics, Physics & the Future of AI
And in fact, very recently in this year or so, even the acceleration of the universe itself is evidence that it's non-constant.
Lex Fridman Podcast
#472 โ Terence Tao: Hardest Problems in Mathematics, Physics & the Future of AI
And the explanation behind why that is... It's catching up.
Lex Fridman Podcast
#472 โ Terence Tao: Hardest Problems in Mathematics, Physics & the Future of AI
It's catching up.
Lex Fridman Podcast
#472 โ Terence Tao: Hardest Problems in Mathematics, Physics & the Future of AI
I mean, it's still, you know, the dark matter, dark energy, this kind of thing.
Lex Fridman Podcast
#472 โ Terence Tao: Hardest Problems in Mathematics, Physics & the Future of AI
Yes.
Lex Fridman Podcast
#472 โ Terence Tao: Hardest Problems in Mathematics, Physics & the Future of AI
We have a model that sort of explains, that fits the data really well.
Lex Fridman Podcast
#472 โ Terence Tao: Hardest Problems in Mathematics, Physics & the Future of AI
It just has a few parameters that you have to specify.
Lex Fridman Podcast
#472 โ Terence Tao: Hardest Problems in Mathematics, Physics & the Future of AI
But so, you know, people say, oh, that's fudge factors.
Lex Fridman Podcast
#472 โ Terence Tao: Hardest Problems in Mathematics, Physics & the Future of AI
You know, with enough fudge factors, you can explain anything.