Live data from Hacker News

A beginning for mathematics

daniellitt.com

131–135 of 135 posts

Re: A beginning for mathematics

#131

I admit I just don't understand this attitude. People had the same complaints that the code produced by early coding models was messy, lazy, poorly commented, had terrible architecture and so forth. The central complaint was that it was just too difficult for humans to review. The answer is just to improve the models and move on. Similarly now we're getting AI doing math. The proofs compile but are a mess. So just ma…

There's a fundamental difference between the goal of code and math. The goal of code is to produce software that does something useful. As long as the code does what it's supposed to do, arguably, it's good to ship. (As you imply, we want the code to be good enough to also be reasonably certain there are not too many bugs, that it is maintainable and can be extended etc. This is what early models failed at but now se…

I won't understand it, but can benefit from it in better data structures with proven invariants, faster algorithms, convergence guarantees for some iterative computations, better practical linear algebra and matrix factorizations, deriving things in statistical hypothesis testing, tightening upper and lower bounds etc. I don't care if some mathematician somewhere who isn't me "understands" it or not. It has practical use. I know that practical is dirty peasant word for many ivory tower mathematicians but that's their problem and I don't interact with them much, except when they throw a hissy fit like this and try to ban restrict matchmaking to their guild and ban the plebs from getting math from anywhere but them on their terms.

Re: A beginning for mathematics

#133

Earlier quoted context omitted.

I think you're a little naive if you think this is because of gate-keeping by mathematicians rather than the essential complexity of mathematics. Mathematicians individually and as a group would love nothing more than a world which is capable of understanding their work more deeply. In the exact same way that LLMs allow anyone to vibe code an app but do not replace real understanding of system design due to its essen…

Folks keep using the word "gate keeping" -- I never used that term nor implied intentional gate keeping. It's simply not caring if those outside the club understand -- there is no one guarding the door its just folks don't care if anyone finds it.

Gatekeeping is a human universal. Even those who preach maximum inclusion do exclude plenty, of course there is always explanation why that doesn't count. If you try to run any community you quickly learn the importance of gatekeeping. Eternal September etc. See any site or fandom that gets mainstream etc. I don't think anyone has any duty to actively pull in as many as possible new people. Zen masters used to chase away students or make them sit on their doorstep for days and send them away anyway. Now, the west is essentially Christian and so the missionary impulse is real, but it doesn't work without the other stuff in the package.

Re: A beginning for mathematics

#134
post #32

The author argues for evaluating Ph.D. candidates based more on the oral thesis defense than on the actual thesis. By essentially the same reasoning, I’ve been arguing for prioritizing in-person design/code reviews over code-only async PR comments. The important thing is to verify that the human has a coherent design in mind and can demonstrate that it got implemented, regardless of who or what was at the keyboard. “…

>“I dunno, I guess Claude thought this was a good idea” is not a coherent design.

I am sorry, but the writing on the wall is that this is where software industry wants to go. As a software developer, I cannot but help notice how unrealistic this is.

We are entering the next level of bloated, inefficient and unreliable software....

Re: A beginning for mathematics

#135
post #104
post #64

Earlier quoted context omitted.

I don´t think so. For programming agents can run code, check compiler output, etc. For mathematics, it is almost the same once you factor in the usage of lean. For the reality, you can´t close the loop that fast, or with that precision. You will have to slow down by several orders of magnitude.

Doesn’t have to. There are petabytes of experimental physics data that can be fed to AI to extract additional insights. The only holdup is this is slightly harder to than math. With bio, you’re right, generally designing and conducting an experiment goes hand in hand and theoretical biologist is not a common label.

>There are petabytes of experimental physics data..

There is one thing you are missing. Math is precise. Physical measurements are arbitrary imprecise...

Post reply on HN