I think the scary part of LLMs here is less so about individual mathematicians being unable to compete with AI, it’s that individual mathematicians who can solve problems without the assistance of it will simply disappear. A diverse set of ways of thinking will just collapse. In this regard, math is becoming what has happened to visual arts, except even fewer has an emotional connection to it and care about it.
Today there is a Silicon Valley obsession with taste. Taste is the idea of getting people and machines to generate thoughtfully created and differentiated works instead of mass-produced, semi-deterministic set of works. If you want to acquire taste, you have to get really good at a craft, like the Japanese mochi makers. Only when you get really good at a craft, you could actually understand how to apply tools like LLMs effectively, by knowing how to plan your workflows better. Sadly, American universities have been, in my opinion, rather terrible at making students get really really good at a craft.
Let’s take writing for example. I am certainly not the best writer in the world. I was simply not trained on rhetoric nor literature. But I myself write a Substack, imperfectly, without the use of LLMs in the content. The one reason I still write on Substack is that it makes me better at reading. I not only get to express my ideas, I also get to know who doesn’t care about my time and energy by throwing me LLM slop to read.
Mathematician Terence Tao:
"we have to slow down AI. the pace is insane, and there's no reason to be this fast — no reason at all"
It's amazing how willing we are to change everything without any idea what happens afterward
These are extremely nonlinear dynamics