The Dark Night of Mathematics

Article URL: https://kirwinhampshire.substack.com/p/the-dark-night-of-mathematics

Comments URL: https://news.ycombinator.com/item?id=49048681

Points: 215

# Comments: 266

Hacker News 讨论

215 points · 270 comments · 查看原帖

paulorlando
I feel for the guy who wrote this. I feel this myself at times. But it's also not a productive feeling, as cruel as that sounds. There's a Chinese idiom: 生不逢时 "to be born at the wrong time." The story was about a man who, when young, lived in a peaceful kingdom (they needed older men then). Then, when he was old, he lived in a kingdom at war (they needed young men then). You can't choose when you are born or what environment you are born into. I also wonder what it would be like to be this age in, say, the year 2226 and to think "hey, I could have been a great mathematician if I had been born 200+ years earlier!" Or to think, "hey, if I had been born 500 years earlier I would have been a great explorer." Do what you can with the time you are in. It will go by just as fast.
d_burfoot
Every single knowledge worker is going to face this kind of crisis. It will be worse for people who cared deeply about their craft, but the crisis will have the same shape. The way through is to change the way you relate to your work, and to appreciate the fact that you can now produce far more output. Mathematicians should realize: instead of spending decades on individual theorems, you can now create whole new subfields of mathematics. Of course, you won't be doing the creation directly, in the way the mathematicians of old did; that's just not the name of the game anymore. But you will still be directing the research and involved in the creation.
marifjeren
Grateful for this essay. Made me feel seen. Someone said: > No one is stopping you from doing what you enjoy. But that's wrong. LLMs are creating an environment in which some things are no longer enjoyable. For example there is less joy to be had in learning a programming language in 2026 than there was in 2016, because there is less utility in it now.
jostylr
As a mathematics person, I find this at odds with my views. I know the current regime rewards new mathematical discoveries for professional advancement, but that is a job thing, one which can be altered by the powers that be. To me investigating mathematics is fun whether it is new to the world or not. The complaint is similar to lamenting how everywhere has already been visited and there is nothing to be done other than have your own personal experience of a place. I saw the redwoods recently for the first time and I thoroughly enjoyed the experience despite not being the first person to see them. Mathematical discovery is much the same except now we have tools that help us dramatically with the tedious stuff, the researching what others know. In the old days, I would spend a long time figuring something out and only at the end could I figure out where to find it in the literature. Very
ngriffiths
> For me, the affective quality of learning mathematics is empathetically tethered to an act of discovery and creation. It is social. We are conversant with another mathematician—perhaps long dead. If we follow the chain of communication we arrive at a mathematician who enjoyed some original discovery. Human mathematics is Talmudic. It is a lively discourse of philosophical and religious richness spanning thousands of years. This is really beautiful. And no matter what happens, two things have to be true: some form of lively philosophic and religious richness will keep being a core part of our history and will touch every person in some way; and it will change enormously over time (maybe with math continuing to be a small part, maybe not). There is a part of math that is like that. There's also another part (as Vladimir Arnold provocatively said): > All mathematics is divided into three
tptacek
One way to differentiate between an art or a craft and a science is that if a genie appeared and offered to trivialize all the discovery work of your career and simply give you the answers today, and you'd say "no", you're probably not doing science.
thomassmith65
It should be a mandatory part of a technology-related degree to watch "The Man in the White Suit" (1951) https://youtu.be/RC8q1QSkE3M When a new technology comes along, it diminishes some aspect of the human experience - because whoever had a talent for doing things the older, more difficult way becomes less important. In that regard, AI is the extreme, because it threatens to make so many of our intellectual talents useless.
Athanase000
When I was in mathematics, reading other people's work was always more rewarding to me than doing my own. I would spend years on a question to get some progress, versus spending a few days or weeks reading a paper to enjoy something new. I understand not everyone is like me but I really welcome the omniscient mathematician machine people are predicting. I can't wait to ask all the questions I care about.