Dwarkesh Podcast
Terence Tao โ Kepler, Newton, and the true nature of mathematical discovery
If there's something which I read about, which I feel like I should understand, I have the capability to understand this, but I don't understand why it works.
Dwarkesh Podcast
Terence Tao โ Kepler, Newton, and the true nature of mathematical discovery
There's some magic in it that, you know, so someone was able to use a type of mathematics I'm not familiar with and get a result which I would like to prove, and I can't do it by myself, but they could do it by their method.
Dwarkesh Podcast
Terence Tao โ Kepler, Newton, and the true nature of mathematical discovery
Then I wanted to find out what was their trick.
Dwarkesh Podcast
Terence Tao โ Kepler, Newton, and the true nature of mathematical discovery
It bugs me that someone else can do something which I think I can do, but I can't.
Dwarkesh Podcast
Terence Tao โ Kepler, Newton, and the true nature of mathematical discovery
So I've always had that kind of,
Dwarkesh Podcast
Terence Tao โ Kepler, Newton, and the true nature of mathematical discovery
obsessive completionist type streak.
Dwarkesh Podcast
Terence Tao โ Kepler, Newton, and the true nature of mathematical discovery
I've had to wean myself off computer games because I start a game, I want to play it to completion, so both the levels.
Dwarkesh Podcast
Terence Tao โ Kepler, Newton, and the true nature of mathematical discovery
So that's one way in which I learn new fields.
Dwarkesh Podcast
Terence Tao โ Kepler, Newton, and the true nature of mathematical discovery
I collaborate with a lot of people who have taught me other types of mathematics.
Dwarkesh Podcast
Terence Tao โ Kepler, Newton, and the true nature of mathematical discovery
I just make friends with another mathematician who's working on another area of mathematics, and I find their problems interesting, but they have to teach me some of the basic tricks and what's known, what's not known, and I learn a lot from that.
Dwarkesh Podcast
Terence Tao โ Kepler, Newton, and the true nature of mathematical discovery
I found that writing about what I've learned, I have a blog where I sometimes record things that I've learned.
Dwarkesh Podcast
Terence Tao โ Kepler, Newton, and the true nature of mathematical discovery
Because in the past, when I was younger, I would learn something and do this cool trick and say, okay, I'm going to remember this.
Dwarkesh Podcast
Terence Tao โ Kepler, Newton, and the true nature of mathematical discovery
And then six months later, I'd forgotten.
Dwarkesh Podcast
Terence Tao โ Kepler, Newton, and the true nature of mathematical discovery
I remember remembering it, but I can't reconstruct my arguments.
Dwarkesh Podcast
Terence Tao โ Kepler, Newton, and the true nature of mathematical discovery
And the first few times it was so frustrating to have understood something and then lost it.
Dwarkesh Podcast
Terence Tao โ Kepler, Newton, and the true nature of mathematical discovery
So I resolved I should always write down
Dwarkesh Podcast
Terence Tao โ Kepler, Newton, and the true nature of mathematical discovery
anything cool that I've learned.
Dwarkesh Podcast
Terence Tao โ Kepler, Newton, and the true nature of mathematical discovery
And this is part of how this blog came about.
Dwarkesh Podcast
Terence Tao โ Kepler, Newton, and the true nature of mathematical discovery
How long does it take you to write a blog post?
Dwarkesh Podcast
Terence Tao โ Kepler, Newton, and the true nature of mathematical discovery
It's something I often do when I don't want to do other work.