Earlier quoted context omitted.
I see a trend line from anti-AI back to anti-evolution to vitalism all the way to Galileo. Humans have a deep need to be special magic flowers - and they can't stand it when science eventually shows them they're not.
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GPT-5.6 used a prompt to close a 30-year gap in convex optimization
251–260 of 414 posts
Re: GPT-5.6 used a prompt to close a 30-year gap in convex optimization
#252Earlier quoted context omitted.
> While they’ll never have the same subjective experience as humans You state this as a fact - are you aware the question is unresolved? EDIT: I'd love to know why you're downvoting me for stating a known fact.
Ok, I guess never is a real long time and eventually when we merge our consciousness with the machines we may have the same subjective experience. I can confidently state that GPT-5.6 Sol is not experiencing the same reality as me. They _might_ be "experiencing" and I personally think they are, but their reality and experience is not the same as ours.
Re: GPT-5.6 used a prompt to close a 30-year gap in convex optimization
#253Earlier quoted context omitted.
I had to create an account to respond to this because I am quite convinced these math problems they are "solving" are pure marketing. Why is it only GPT doing this, why not Claude? Why does Terrance Tao do marketing for OpenAI? I suspect OpenAI has hired math researchers to solve obscure problems and put them in their training set, purely for marketing reasons. There was a good comment on the Pelican bicycle svg yest…
Terrence Tao getting paid by openAI is, to you, the most probable conclusion... much more so then the LLM actually being able to come up with math proofs?
I do think it's very likely that OpenAI pays for solutions like these to put in the training set, and then we get material like this Reddit thread. They market themselves as selling "intelligence", and solving these math problems is something people view as highly intelligent. I'm not a mathematician, so I cannot fully judge it, but based on my experience using LLMs for novel problems in other domains, they seem to really struggle with things that aren't common. That leads me to believe they train for specific outcomes like this. Also, there are a lot of jobs out there for data annotation, including software problems (Meta has basically reorganized its entire engineering department to create training data for coding problems).
This comment on the Pelican svg better articulates what I'm getting at: https://news.ycombinator.com/item?id=48950883
Re: GPT-5.6 used a prompt to close a 30-year gap in convex optimization
#254Re: GPT-5.6 used a prompt to close a 30-year gap in convex optimization
#255Re: GPT-5.6 used a prompt to close a 30-year gap in convex optimization
#256Earlier quoted context omitted.
I think that your take is quite optimistic. Having published in top tier journals my only experience is that mathematicians care about what other mathematicians worked on and failed to solve. Theory building papers are dime a dozen and don't get published in high tier journals unless they solve a problem. Math is such that most theories are built after solving a problem and actually don't solve a larger class of prob…
If your complaint is about the type of work that gets you published in a fancy math journal, then I'll happily join you on the barricades. Sure, getting a paper into Annals of Mathematics or whatever is more game than art in the sense I think you mean here. But "what mathematicians care about" is much, much broader than what gets you published in a fancy journal. Mathematics as a human activity is millennia old, much…
Re: GPT-5.6 used a prompt to close a 30-year gap in convex optimization
#257Earlier quoted context omitted.
It seems to me you hooked onto the wrong part of proofs vs software compared to what OP meant. The difference OP cares about isn’t how much one cares about style. Instead the important difference lies in validation. A proof can be validated as either correct or wrong. That type of hard feedback really helps combat the optimism and desire for shortcuts of modern models. Now, that still doesn’t help an LLM distinguish…
No, what I'm saying is that I don't agree that taste in mathematics is more uniform than taste in coding! Mathematicians argue about taste all the time. Just as you might look at a piece of code and agree that it compiles and doesn't have any fatal bugs but still think it's badly written, hard to follow, hard to modify, or whatever else, mathematicians judge mathematical work using very similar criteria.
Re: GPT-5.6 used a prompt to close a 30-year gap in convex optimization
#258If I recall correctly there was a proposed proof to the abc conjecture by Mochizuki https://en.wikipedia.org/wiki/Abc_conjecture#Claimed_proofs which was rejected due to being rather inpenetrable to humans. Shouldn't this be an ideal target for LLMs?
Re: GPT-5.6 used a prompt to close a 30-year gap in convex optimization
#259Earlier quoted context omitted.
This is utopian friend! Literally anything you wanted to make is no plausible to make if not now then in the next couple years. The thing you’re worried about is capitalism and the connection with working to having the right to keep living. If you can throw off that mental shackle you can start to see how this can be amazing, but you have to drop the idea that everyone has to work at a job for someone else to provide…
You ever play a video game with god mode cheats enabled, so you can unlock all the unlocks, get all the best gear, and be an unstoppable force with unlimited money? Yeah, it's fun for 30 minutes.
It’s just depression that another avenue for human craftsmanship has been taken over by the machines. Humans are not just infinite consumers. If AI solves all of humanity problems, it’s like living in a zoo, not a life worth living imo.
Re: GPT-5.6 used a prompt to close a 30-year gap in convex optimization
#260> I don't think researchers in math/TCS will be made obsolete, but I think it will instead no longer make sense to work on any low-hanging, or even medium-hanging (you know what I mean) fruit. We'll be needed for problems where actual novel approaches are needed. I wonder how this compares to what we see happening with "juniors" in software development? In math research, do you also get the training for the professio…
Around here AI isn't really more of a threat to juniors than it is to seniors. It's a threat to the people who have been taught "recipies" rather than applied computer science. You can have excellent seniors who can do TDD, DRY, SOLID and so on, who also happen to have no idea what a L1 cache miss is. The current AI models know all of those things, but they struggle applying them correctly without someone piloting th…
Actually it's sad there are people out there dumb enough to believe knowing L1 cache is any different than knowing recipies when it comes to the story which jobs AI will take. I'm convinced by now it will be the jobs of those people believing such crap.