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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

But we will find that that actually wasn't the most important part of what we do.

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

You know, a hundred years ago, a lot of mathematicians were just solving differential equations.

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

People needed, physicists needed some exact solution to some system, and they were just, they hired a mathematician to go through the calculus and work out the solution to this fluid equation, whatever.

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

A lot of what a 19th century mathematician would do,

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

you could make a call to Mathematica or Wolfram Alpha or a computer algebra package, or now more recently, NAI, and it would just solve the problem in a few minutes.

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

But we moved on.

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

We worked on different types of problems after that.

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

Once computers came along, computers used to be human.

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

People used to laboriously create log tables and work out primes as Gauss did.

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

And that has all been outsourced to computers, but we moved on.

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

In genetics, to sequence the genome of a single organism, that was an entire PhD of a geneticist.

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

So carefully separating all the chromosomes and whatever.

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

And now you can just spend $1,000 and send it to a sequencer and get it done.

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

But genetics is not dead as a subject.

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

You move to a different scale.

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

Maybe you study whole ecosystems rather than individuals.

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

I guess.

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

I mean, I do believe that hybrid human plus AIs will dominate mathematics for a lot longer.

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

It will depend.

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

It will require some additional breakthroughs beyond what we already have.