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Dwarkesh Patel

๐Ÿ‘ค Speaker
14445 total appearances

Appearances Over Time

Podcast Appearances

Dwarkesh Podcast
Terence Tao โ€“ Kepler, Newton, and the true nature of mathematical discovery

So the origin of species comes out basically two centuries after the Principia.

Dwarkesh Podcast
Terence Tao โ€“ Kepler, Newton, and the true nature of mathematical discovery

And conceptually, it seems like Darwin's theory is simpler, right?

Dwarkesh Podcast
Terence Tao โ€“ Kepler, Newton, and the true nature of mathematical discovery

There's a contemporaneous biologist to Darwin who reads The Origin of Species, Thomas Huxley, and he says, how stupid not to have thought of that.

Dwarkesh Podcast
Terence Tao โ€“ Kepler, Newton, and the true nature of mathematical discovery

And nobody ever says that about friendship, yeah.

Dwarkesh Podcast
Terence Tao โ€“ Kepler, Newton, and the true nature of mathematical discovery

They're chiding themselves for not having beaten Newton to gravity.

Dwarkesh Podcast
Terence Tao โ€“ Kepler, Newton, and the true nature of mathematical discovery

And so there's a question of, well, why did it take longer?

Dwarkesh Podcast
Terence Tao โ€“ Kepler, Newton, and the true nature of mathematical discovery

It seems like a big part of the reason is that the evidence for natural selection is cumulative and retrospective, whereas Newton can just like...

Dwarkesh Podcast
Terence Tao โ€“ Kepler, Newton, and the true nature of mathematical discovery

here's my equations, let me see the moon's orbital period and its distance.

Dwarkesh Podcast
Terence Tao โ€“ Kepler, Newton, and the true nature of mathematical discovery

And if it lines up, then we've made progress.

Dwarkesh Podcast
Terence Tao โ€“ Kepler, Newton, and the true nature of mathematical discovery

And so Lucretius actually had the idea, this idea that species adapted their environment in the first century BC, but nobody ever really talks about it until Darwin, because Lucretius can't run some experiment and people are forced to pay attention.

Dwarkesh Podcast
Terence Tao โ€“ Kepler, Newton, and the true nature of mathematical discovery

And so I wonder if we'll, in retrospect, end up seeing much more progress in domains which are

Dwarkesh Podcast
Terence Tao โ€“ Kepler, Newton, and the true nature of mathematical discovery

have this kind of tight data loop where you can verify them quite easily, even though they're conceptually much more difficult.

Dwarkesh Podcast
Terence Tao โ€“ Kepler, Newton, and the true nature of mathematical discovery

One takeaway I had from reading and watching your stuff on the Cosmic Distance Ladder, by the way, I highly, highly, highly recommend people watch your series with Thule and Brown on the Cosmic Distance Ladder.

Dwarkesh Podcast
Terence Tao โ€“ Kepler, Newton, and the true nature of mathematical discovery

But one takeaway was that the deductive overhang

Dwarkesh Podcast
Terence Tao โ€“ Kepler, Newton, and the true nature of mathematical discovery

in many fields could be so much bigger than people realize, where if you just had the right insight about how to study a problem, you might be surprised at how much more you could learn about the world.

Dwarkesh Podcast
Terence Tao โ€“ Kepler, Newton, and the true nature of mathematical discovery

And I wonder if you think that's sort of a product of astronomy at the particular times in history that you're studying, or is just that based on the data that is incident on the earth right now, we could actually divine a lot more than we happen to know.

Dwarkesh Podcast
Terence Tao โ€“ Kepler, Newton, and the true nature of mathematical discovery

Okay, speaking of clever ideas, one of my listeners, Sean, solved the puzzle that Jane Street made for my audience and posted a great walkthrough on X. For context, Jane Street trained a ResNet and then shuffled all 96 layers and then challenged people to put them back in the right order using only the model's outputs and training data.

Dwarkesh Podcast
Terence Tao โ€“ Kepler, Newton, and the true nature of mathematical discovery

You can't brute force this.

Dwarkesh Podcast
Terence Tao โ€“ Kepler, Newton, and the true nature of mathematical discovery

There's more possible orderings than atoms in the universe.

Dwarkesh Podcast
Terence Tao โ€“ Kepler, Newton, and the true nature of mathematical discovery

So Sean broke the problem into two different parts.