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What should we tell our students?

https://terrytao.wordpress.com/2026/10/08/what-should-we-tell-our-students/
25•sajid•45m ago

Comments

fragmede•20m ago
> This is a guest post by Álvaro Lozano-Robledo.
mikestylz•20m ago
Just about anyone who has played a sport has heard that they have to target where the ball is moving to, not where the ball is right now. In this regard I am consistently disappointed with the commentary that mathematicians have been producing lately.

As a student, I am actively making decisions which will shape my career for the next forty or so years. At a minimum a discussion like this should acknowledge the possibility that the current rate of AI progress continues apace. I understand the desire to be encouraging, but the best preparation for students involves the consideration of possibilities that current mathematicians negligently paper over.

Of course it will get better at exposition than humans. And it will prompt itself in due time.

ViktorRay•17m ago
What specific direct advice would you give then if you could talk to someone who is currently studying math?

Do you know where “the ball” is going? Do these math students? Do the professors? It’s easy to say a vague nothing platitude like “target where the ball is going to” but such empty vague platitudes do not help anyone and just waste time.

yuuu•14m ago
I would probably tell them to not study math.
magnio•16m ago
If it gets better and better for the next 40 or so years, will your career exist?
debazel•6m ago
If AI continues to improve at the current rate for 40 years then there is unlikely to be such a thing as a career.

Manual labor and trades is likely to be one of the last things to go, so the whole "dropout of school and go into trades" crowd may have been more correct than ever, though their original reasoning was not.

tripleee•5m ago
Will any careers exist? How do you even plan for that
prodigycorp•11m ago
You could being playing best jai alai player always knowing where the ball goes. Problem is, nobody cares.
prodigycorp•11m ago
You could being playing best jai alai player always knowing where the ball goes.

Whoops, people stopped caring about your sport!

> Just about anyone who has played a sport has heard that they have to target where the ball is moving to, not where the ball is right now. In this regard I am consistently disappointed with the commentary that mathematicians have been producing lately.

Reading this it feels like you haven't played a sport.

huitzitziltzin•18m ago
Nice piece. I think the fundamental message that there is still demand for mathematicians and mathematics done by humans is fundamentally correct.

I expect it will remain true into the future (10+ years). I have moderately high confidence (75% or higher) in this prediction.

I use frontier AI models in my work all the time. I think they accelerate my work by helping me understand faster and prompt better.

The models are most useful and most productivity-enhancing in the hands of experts and in the area of their expertise.

I don’t expect a jobs apocalypse, not even in math.

kian•11m ago
Learning mathematics is about understanding the world, not proving things.
anitil•7m ago
That may be true, but mathematicians still need to eat, and for the they'll need jobs. 'Will there be more or less demand for mathematicians in the future?' and 'What will the work entail?' I think are valid concerns
Eridrus•8m ago
There's going to be a massive reshaping of how mathematics is done. If you do not like where math is going (using computers to explore fully new ideas), and you have not committed to this path, it seems totally correct to opt out of it. There probably isn't going to be a technical field that isn't reshaped by this in the immediate future though, so there is unlikely to be anything that slots in cleanly as a replacement. Maybe the philosophy department.

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