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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

I'm sure there's other constructions which have this kind of property.

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

You posted recently that it would be helpful to have a formal or semi-formal language for mathematical strategies as opposed to just mathematical proofs, which is what Lean specializes in.

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

I would love to learn more about what that would involve or look like.

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

Can you help me get some intuition for...

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

I have two step questions.

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

One, it would be very helpful to have a tangible sense of

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

It would be helpful to have a specific example of what something like this would look like, the way scientists communicate that we can't formalize yet.

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

And two, it seems almost definitionally paradoxical to say building up some narrative or building up some natural language explanation and then also having something which you could have formalized.

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

And I'm sure there's some intuition behind where that overlap is, and I'd love to understand that better.

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

I was super excited when Mercury reached out about sponsoring the podcast because I've been banking with them for years.

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

I think I opened my first account with them in 2023.

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

Something I've come to appreciate over the last few years is that Mercury is constantly updating things and adding new features.

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

Take their newest feature, Insights.

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

Insights summarizes your money in and out, showing you your biggest transactions and calling out anything that deserves extra attention.

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

Like maybe your revenue from a particular partner has gone down, or you've got a big, uncategorized purchase that needs to be investigated.

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

It's a super low-friction way for me to keep tabs on my business and make quick decisions.

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

For example, I've tried to invest any cash that I don't need on hand to keep running the business.

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

With Insights, with just a couple of clicks, I was able to see exactly how much money I spent in each month of 2025.

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

And that lets me know exactly how much cash I'll need for the next year or so of operations.

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

And then I can go invest the rest.