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Terence Tao

๐Ÿ‘ค Speaker
3115 total appearances

Appearances Over Time

Podcast Appearances

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

painting a narrative, and it's been out of gaps.

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

So even Darwin, as I said, there are pieces of his theory he cannot explain, but he could still make a case that in the future, people would find transitional forms, that they would find the mechanism of inheritance, and they did.

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

Yeah, I don't know how you can quantify that in such a precise way that you can start to reinforce something.

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

Maybe that will be forever the human side of science.

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

So astronomy was one of the first sciences to really embrace data analysis and squeezing every last possible drop of information out of the information they had because data was the bottleneck.

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

I mean, it still is the bottleneck.

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

I mean, it's really hard to collect astronomical data.

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

So astronomers are the best, almost world-class in extracting, almost like Sherlock, it's just like extracting all kinds of conclusions from little traces of data.

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

I hear that a lot of quant hedge funds, they're preferred hires in astronomy PhD.

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

They also are very interested for other reasons in extracting signals from various random bits of data.

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

we do underexplore sort of how to extract extra information from various signals.

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

Like, just to pick one random study, I remember reading once that people had discovered, were trying to measure how often scientists actually read these citations, the papers that they cite.

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

So how do you measure this?

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

You could try to survey different scientists, but they had some clever ideas

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

So many citations have little typos, like a number is wrong or a punctuation symbol is wrong.

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

And they measured how often a typo got copied from one reference to the next.

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

And they could infer whether an author was actually just copying, cutting and pasting a reference without actually checking it.

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

And so from that, they were able to infer some measure of sort of how much attention people were paying.

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

So there are also clever tricks to extract.

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

So these questions you posed earlier of how can we assess whether a scientific development is fruitful or interesting or represents real progress, maybe there are really useful metrics or footprints of this approach