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Did an AI do that on its own though? I heard it was human mathematicians using a sophisticated machine as a tool.

All of the latest big proofs were driven by professional human mathematicians steering and priming the models, yes.

All of the best AI-made software projects are also driven by experienced human software developers steering and priming the models. Does that mean the projects "aren't made by AI"?

No, it just means AI is not quite good enough yet to fully replace humans, and, so, unsurprisingly, the best results will be obtained from people who are already great at a field and who take the time to squeeze as much force multiplication out of LLMs as possible. The AI is still doing well over 95% of the significant work.


While I agree with you, I think we also have to concede that this is not how these accomplishments have been presented. I'd argue most people I've seen talk about this online are unaware of the mathematicians steering the models.

https://chatgpt.com/share/6a5fdc7a-d6f8-83e8-bbea-8deb42cfed...

Terrence Tao's conversation with ChatGPT is very illuminating.

HN Discussion: https://news.ycombinator.com/item?id=49010345


“Good enough to replace humans” isn’t necessarily the benchmark.

The question is is a computer with a human stronger than a computer without a human. At what point does the hybrid go from being stronger, to the human getting in the way, or steering the computer in more wrong directions that right ones, or the human not being able to keep up. Does the human add enough extra randomness to be of value for a while, even as a minor co-processor.


Underappreciated point. The point of inflection is where humans switch from being a driver to a liability.

But I don't think it's randomness, because that would be easy to add. It's more like a different perspective on the training data, a different set of perception categories, and a different set of skills used to work with all of the above.

Those skills aren't very efficient, but they're the best we can do. We're used to their strengths but we don't like to think about their limitations.

It's completely plausible that AI will replace some of them, and not implausible it could replace and improve on all of them.


It's also not necessarily implausible that AI/we decide that performance is better with humans in the loop somewhere, even if its reduced to something like mechanical turk.

> All of the latest big proofs were driven by professional human mathematicians steering and priming the models, yes.

False, navier stokes was solved in one shot without steering


According to OpenAI, but they haven’t exactly been transparent about what information the prompt entailed.

The bigger question is to what extent did expert mathematicians metaprompt the model with fruitful solution strategies through their sessions finding their way into training data. Answering that question definitively is kind of important for understanding the models contribution/capability. But I feel like people want to turn this into a debate about priority and credit which is sort of secondary


It sounds like LLMs were pretty useful to them…

So was Lean. Did Lean solve it?

Nothing is solved in isolation but credit usually goes to wherever the new work in the paper comes from instead of the whole mountain of previous mathematics or existing tools used. The most relevant of those get referenced and then this reference tree builds a tree of collective base work needed across history.

Usually credit goes to the people wielding the tools, not the tools themselves.

Usually there has never been a tool which performed the part relevant to getting any credit.

E.g. in the first famous computer assisted proof (of the four color theorem) the computer only executed the resulting calculations defined from the new logic, it did not have part in the work needed to show those calculations could answer the problem nor did it come up with the actual calculations to do.


The way frontier models work, that loop will get compressed to a one-shot within a version or two

> I heard it was human mathematicians using a sophisticated machine as a tool.

where did you "hear" this? OpenAI said they only prompted it and it solved the problem in one shot without any help


You would need institutions to do this? What do we have besides global megacorps with the resources for this? Universities perhaps training models for their local catchment?

It's ineptitude. Of course it is. Otherwise it would be indefensible.

EDIT in which I clumsily express my weariness at hearing some of the smartest people in the world claim they “didn’t know” because they have arbitrated foolishness against liability


The decision to force you to sign in to view replies is clearly not by accident or ineptitude. It's probably not malice either - just a business decision.

A system that makes "business decisions" indistinguishable from malice is an interesting one.

If I have something you want and I could give it to you but instead charge you money, is that malice? If so, what system wouldn't make malice indistinguishable from business decisions? If not, what distinguishes that from a login wall in exchange for viewing content?

It's pretty much the standard to either soft-block or hard- block access into silos. Facebook, Reddit, YouTube, Instagram, Tiktok, etc ... all do it. Of course it's an openly anti-consumer practice, but it's one they get away with when they're big enough to flip the service burden to the client.

how is it anti-consumer? Claiming you should be able to freely access the content on some service feels like claiming you should be able to walk into any fast-food place and help yourself to their soda machine.

A business is free to choose that you must login to access their content and you are free to choose not to do business with them if you don't like it. I generally chose the latter


Your analogy does not work since they can still show ads to logged-out users, nobody is getting anything for free. Meta even creates shadow-profiles of users without accounts to track them across the internet.

It's all about getting people locked into walled gardens. I wish the EU DMA had taken a harder stance on this and required all social media to federate to some extent.


You’re absolutely right. I can just choose to not participate. If I’m lucky enough, enough people realize that they have the agency to not give into this, but if they don’t it doesn’t affect me at all.

Either way, I don’t care. The Internet has become so hostile to users that the only moral and rational choice is to not participate on platforms that have become so hostile that threatening legal action is the only way that they can protect their relevancy in facilitating social discourse.


So business decisions are absolved of morality?

No. “Malice” isn’t the only possible descriptor with moral weight. There’s many more ways this decision could be immoral without malice.

Do you consider a login-wall immoral?

You need a system that does gait analysis, which requires upgrades across the board. All those sunk costs on pervasive facial recon systems. Sucks teeth.

As Phil Zimmerman might opine, it’s not so much about defying every attack, it’s moreso about making it more difficult en masse by increasing the unit cost. Though perhaps in the 90s surveillance tech wasn’t quite scaling as quickly as it is now.

It’s not. Try pulling updates after a rebase. Very much not the same as piping arbitrary disembodied text into your shell.


Except the first time you do it


Precisely the reason is to give breathing room for big players to invest in development of technology so they can capitalise exclusively for a period


Pharma and Healthcare was the implication I believe. The US approach to these things has a bad reputation internationally though I am informed that it’s an amazing system if you’re rich.


Let’s not conflate US pharma with their healthcare more generally.

The US is dominant in pharmaceutical and biotech, and FDA is generally excellent as a regulator, despite (IMO) sometimes being too conservative and resistant to any ideas not gestated within the agency. There are weird quirks (like the wide and wacky dosages of melatonin available over the counter, in this example) but most countries have such quirks.


Irrelevant due to a scoping problem. If you’re peddling a dietary supplement there is virtually no regulation at all.

As long as you don’t say anything in the marketing material, you’re good.

The only science in supplements is the marketing.


As I understand it, the FDA doesn't regulate melatonin as it's not sold as a medication, but as a supplement.


FDA does regulate supplements, but using a different legal framework which is far, far more hands-off than for pharmaceuticals.


Are you implying that everyone in the US is taking unknown quantities of OTC medications?

Unless you have some data to backup this claim, it is tinfoil hat speaking.


In the US its regulated as a supplement, not an over the counter medication.


US melatonin measured dosage can be 4x as much as what is reported [1, 2].

Have you never looked into stuff like this? It's all over social media and the claims are relatively easy to verify. I'm asking because I need to know if I'm in a bubble or not.

[1] Cohen PA, Avula B, Wang YH, Katragunta K, Khan I. Quantity of Melatonin and CBD in Melatonin Gummies Sold in the US. JAMA. 2023;329(16):1401–1402. doi:10.1001/jama.2023.2296

https://pmc.ncbi.nlm.nih.gov/articles/PMC10130950/

[2] Erland LAE, Saxena PK. Melatonin Natural Health Products and Supplements: Presence of Serotonin and Significant Variability of Melatonin Content. J Clin Sleep Med. 2017;13(2):275–281. doi:10.5664/jcsm.6462

https://link.springer.com/article/10.5664/jcsm.6462


At least they’re allowing their colonies to have elections


I actively skip stuff that’s on substack just like I do medium and blogger. Maybe there’s good stuff on there but it’s usually a by-word for slop. I figure if anyone has anything that interesting to say they’d make the effort and put it up on something more serious looking.


[flagged]


[flagged]


https://web.archive.org/web/20251221230655/https://www.userm...

> Substack sent a push alert encouraging users to subscribe to a Nazi newsletter that claimed Jewish people are a sickness and that we must eradicate minorities to build a “White homeland.” […] The newsletter's logo is a swastika and it has pushed Holocaust denialism along with news and opinion content for the 'White Nationalist Community.' […] Substack is primarily funded by Andreessen Horowitz, a firm whose founders have pushed extreme far right rhetoric.


Your source is Taylor Lorenz, on her own Substack (with a custom domain). She apparently wasn't bothered enough to disassociate with the service. This is someone who makes claims like "Substack is primarily funded by Andreessen Horowitz, a firm whose founders have pushed extreme far right rhetoric." (Something which Wikipedia editors would be tripping over each other to evidence if it were true, but their article says nothing about it.)

There is nothing to demonstrate the claim that Substack "continues, proudly" to host such content, nor that they were ever "proud" of it. A cursory inspection shows that while the "facing" page for the group in question still loads, the underlying profile and content are all gone.

It is a known tactic of agitators to post objectionable (or even highly illegal) content on distribution networks (or in communities) they dislike and then try to get media attention attributing it to the network/community rather than themselves.


> Your source is Taylor Lorenz,

One of the first newsy types to report this particular issue, but certainly not the only one. See https://arstechnica.com/tech-policy/2025/07/substacks-nazi-p..., which quotes a press release from Substack. Arguably, my source is therefore Substack themselves, via Ars Technica.

> Something which Wikipedia editors would be tripping over each other to evidence if it were true, but their article says nothing about it.

Actually, this information is on Wikipedia. There's one NYT link on the Andreessen Horowitz article, and several paragraphs on Marc Andreessen's. I don't know enough about US politics to know whether all this adds up to "extreme far right rhetoric" (and I'd rather not debate that here), but there's definitely extreme, and right-wing, political advocacy described in Marc Andreessen's article. I have not confirmed whether the claims in the Wikipedia article are correct; if you dispute them, then please let me know as a courtesy (I like having accurate knowledge), then take it up with the Wikipedia editors.

> There is nothing to demonstrate the claim that Substack "continues, proudly" to host such content,

But they do continue to host it. This has been a problem for years (see e.g. https://www.theatlantic.com/ideas/archive/2023/11/substack-e..., https://www.theguardian.com/media/2026/feb/07/revealed-how-s...). Do you need an article from last month? Or do I need to link you to a Nazi blog directly? They are not very hard to find: just type "site:substack.com" followed by some keywords. It took me 20 seconds to find one called "White Free Press", with such wonderful articles as "David Lane and the Foundations of His Racial Ideology", "The Contemporary Conceptual Framework of the White Ethnostate", and "The Immutable Animosity: blacts [sic] hate White People, and Nothing Can Change It".

> It is a known tactic of agitators […]

Quoting the Ars Technica article:

> Of those accounts created in February, only the Substack account is still online, which Fisher-Birch suggested likely sends a message to Nazi groups that their Substack content is “less likely to be removed than other platforms.” At least one Terrorgram-adjacent white supremacist account that Fisher-Birch found in March 2024 confirmed that Substack was viewed as a back-up to Telegram because it was that much more reliable to post content there.

> “Groups that want to recruit members or build a neo-fascist counter-culture see Substack as a way to get their message out,” Fisher-Birch told Ars.

I don't think "this is all some kind of contrived false flag operation" is a particularly likely explanation.


> There's one NYT link on the Andreessen Horowitz article

I see no mention of the far right in the article; the only NYT source with "right" in the title that I can find is "The Tech Right Gets Its Own Phyllis Schlafly", but this is only being used to cite Boyle investing in some aerospace/miltech companies.

As for Marc, we're at multiple layers of guilt by association now, but even so I don't see what's extreme about anything attributed to him in his own article. In fact, it all looks to me like stuff that I'd expect a very large percentage of Americans to find agreeable.

> But they do continue to host it.

FWIW, I consider that the actual literal Nazis were a step beyond typical contemporary American white supremacists. Regardless, this is still a goalpost shift. Note that the headline of your own source explicitly describes Substack as having offered an apology, which is the opposite of how you respond when you're proud of what you're accused of.


> I see no mention of the far right in the article

I see no mention of the far right in Taylor Lorenz's article. I do see mentions of Donald Trump, DOGE, and the Republican party in the NYT article cited in the "Politics" section. As I understand, these entities are considered "right-wing" in US terms, and many of their actions would certainly be considered "extreme". ("Extreme" is somewhat subjective, so for the sake of foreshortening this argument, I'll set it at the objective threshold of ten thousand dead children.)

> "The Tech Right […]", but this is only being used to cite Boyle

So, you found a source describing Katherine Boyle, in her capacity as manager of Andreessen Horowitz's American Dynamism fund, as right-wing. This seems to support Taylor Lorenz's claim.

> but even so I don't see what's extreme about anything attributed to [Marc Andreessen] in his own article.

Aside from working for DOGE, and strongly supporting cryptocurrency and AI, I would agree with your expectation that a large percentage of Americans would find his views agreeable: I would expect slightly under half the US population. These views are not so popular internationally.

As a reminder: I would rather not debate this here. TFA is an article about Substack, not Andreessen Horowitz's political leanings: we should be discussing Substack, not its investor.

> FWIW, I consider that the actual literal Nazis were a step beyond typical contemporary American white supremacists.

To start with, the Nazis were much, much tamer. For example, the Nazis neither owned, whipped, nor branded people in 1924, whereas the second KKK had only just started to fracture at that point. It was only once the Nazis got control of the state apparatus that they got really bad: the Night of Broken Glass, Aktion T4, the invasion of Poland, the Holocaust…. Adolf Hitler (claimed to have) modelled parts of the Nazi regime on American white supremacist practices.

The Nazi party started with the recruitment of Nazis. By the time they were an organised fascist paramilitary capable of attempting a coup (1922–1923), it was almost too late to stop them.

> Note that the headline of your own source explicitly describes Substack as having offered an apology,

A qualified apology, of the form: "We're sorry if our policies lead to the systematic platforming of white supremacist hatemongers, and of course the active promotion of this neo-Nazi organisation by our computer systems was a one-off mistake, but we won't change our policies: if we don't give Nazis a voice, then they'll say even worse things!" That's not really an apology: it's a "we're sorry for the bad press we're experiencing".


> For example, the Nazis

By "contemporary" I meant contemporary to today, since those are the people who would potentially be doing these Substacks. I guess that was the wrong word.


I don't think "it is not currently World War III" is a very insightful statement.


It is, because the people currently defamed as Nazis have had ample opportunity to bring such a thing about, and they are clearly not doing so. Every aspect of the ideological comparison is a stretch.


> The Immutable Animosity: blacts [sic] hate White People, and Nothing Can Change It

Not in any aspect comparable to a Nazi. Gotcha. Hey, out of interest, have you read Mein Kampf, by Adolf Hitler? Here's a bit of Ludwig Lore's translation, Chapter 2:

> The great mass of people could be saved, even if only by the utmost sacrifice of time and patience. But no Jew could ever be freed from his opinion.

(I'm not sure whether you're seriously arguing that bloggers have the capacity to construct offshore death camps to which they deport "undesirables", or the power to unilaterally and militarily invade Poland, and the fact they haven't done so reflects well upon their characters; so I'll not attempt to refute that point until it is clarified.)


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