The models produce both Lean code for formal verification and a traditional-style narrative proof. Like the general long-form output of frontier models, the math papers produced appear to be generally correct technically, but written in an ungraceful and sometimes hard-to-follow style, so they are often polished by a human mathematician as of today.
Why would society fund mathematicians if they decided to become a guild that hides secrets? They could pursue that as a hobby, but they’d end up like the coders who refuse to use LLMs - rapidly becoming irrelevant and a bit sad from an outsider’s perspective.
Ah but heres the thing , society/gov expects mathematicians to be productive and tries to measure that by awards/publications/citations gained. Within a guild ope or secret they could possibly use a local LLM (even if slow) to accelerate their collective output.While ensuring their credit/publication/citations remain intact rather than with the AI labs taking a lions share of that.
Think along the lines of the Nicolas Bourbaki persona/collective :
" was a collective pseudonym chosen in 1934 by a group of young French mathematicians. None of them carried the name alone; all of them carried it together. And under that name, they launched the most ambitious mathematical publishing project of the twentieth century: a series of texts rebuilding modern mathematics from scratch, on entirely axiomatic foundations."[1]
I can have Astra run a large-scale infrastructure migration 24/7 (much of the time waiting for results), completing it in weeks or even months faster than I could before agentic AI.
Yeah, I mean if that's the case, then said small sites are probably headed for extinction, and agents won't have anything to work with other than whatever the top Google result is anyway.
> the current supreme court seems perfectly willing to throw out decades of settled law on an ideological whim, and actually, for that matter, happily interpret very clear congressional statutes in very odd ways
Fortunately or unfortunately, the Supreme Court has always been willing to do that. This court has been overruling decisions of the Warren Court, just as the Warren Court overruled decisions from the Lochner Era.
Iran is essentially finished at this point - they no longer have control over the Strait of Hormuz, and oil is rapidly flowing through the strait (to say nothing of the oil already exported via other pipelines, or the impetus the war gave to accelerate pipelines under construction, such as the Iraq-Turkey pipeline).
But you weren't going to ask the LLM, and now you know something you weren't aware of. Seems no different than someone reporting what they found out in a Google Search, as long as they disclose that they used an LLM (as long as they used one that actually searches the web, but pretty sure even ChatGPT Free does that these days).
> but pretty sure even ChatGPT Free does that these days).
It can do, but won't do so reliably; and the guessing it does if it's not grounding with a search is still like someone in a pub saying "I recon…". Admittedly, a Cambridge pub like the Carlton Arms used to be when I lived there (sometimes I'd be the only one at the table who wasn't studying for a PhD), but still, pub.
Geez, it's much better. A copy of a newspaper is usually cheaper than printing the same articles 9n paper, and you don't need to bother with printing, and you have a hard copy automatically.
And zero digital trace, which beats everything said above.
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