LLMs will not eclipse us.
However, I do believe highly intelligent AI is possible. It’s just not LLMs.
Suppose we had a library filled with proofs of every theorem [in mathematics], as well as excellent guides that could, given a question, take us to the answer and explain it. What would a mathematician do in such a library?
If you ask the question this way, the answer becomes clear: they would be unbelievably excited, and immediately get to work. They would immediately start asking questions: how does one prove the Riemann hypothesis? The Hodge conjecture? Their own pet obsession (in my case, the Grothendieck-Katz p-curvature conjecture)? Then they would work until they understood the answer. The job would not be done, not even close.
This paragraph by Daniel Litt feels to me like hubris coming from someone in the position of power. Many tech-optimistic mathematician are not at the risk of being replaced by AI because they are either on the tenure track or already tenured.
We need to acknowledge that mathematics is a subject of more human importance than economical importance. In this hyper profit driven world, field without a primary economical drive will necessarily shrink significantly.
Mathematics have no doubt experienced that: in the cold war, mathematics is behind most of the technological advancement that lead to concrete economical output. Later, as many of these fields stablized, engineer and computer scientists takes the place of mathematician, and the field of mathematics has shrunk significantly.
Now mathematics still holds importance because it still encapsulate important ideas that have the potential to be the next generation of economical driver force. And mathematicians are important drivers to preserve and disseminate such knowledge.
So if such truth oracle described above can develop and articulate any mathematical idea, it would be fun for established mathematician to flip through the answer to a puzzle, but it would kill the entirety of mathematics as well.
No they aren’t.
They should be worried! Just like how the calculator replaced them!
There is already no need for mathematicians, I can perfectly well make any square root on my calculator. 🤣
AI won’t replace mathematicians. But AI may replace their grad students, when the Computer Science department shows how much more “work” the Al can do and steals funding from the Mathematics department.
Then, when the current Math faculty retires, there won’t be any new Mathematicians to take their place.
Keep in mind that quite a number of those AI based “breakthroughs” in mathematics turned out to be wrong.
Interesting.
Got any sources for this claim?
LLM mathematical proof exploits theorem proover bugs [to get false statement to be “proven” true]
Oof.
You don’t really need sources, we all know AI tends to hallucinate when presented with a problem they can’t solve.
So far I’ve only read about 1 example of a problem that an AI may have solved. All the rest are without details and are not confirmed in any way.Remember AI companies are huge on propaganda for their technology, but not so big on admitting the shortcomings.
Edit:
Changed the use of the word evidence to sources, because apparently people misunderstood it.“you don’t really need evidence” we are talking about mathematics. The evidence is the point.
This is not about the mathematical evidence, but the lack of evidence that AI has made mathematical breakthroughs.
The point here is there is rarely any evidence for the claims about AI amazing accomplishments.
The burden of proof is on the one with the claim that AI has made these accomplishments, not on the one being sceptic about it.Articles with proofs have been published, both by AI companies as well as by mathematicians who disclosed the whole development of the proof was done autonomously by LLMs.
Which is way more possible to link to. But you chose not to?
Not at hand, but there were a number of news items about this in the last few weeks.
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Riiiight. Just like printed books did. What kind of world would it be if anyone could read about math.
Also mainframes, calculators, personal computer, spreadsheets, …
Absolutely this. You can also add supercomputers.
AI may help the field move further, but real mathematicians are still needed to evaluate the meaning of such findings.
All of the evidence presented in the article are either PR from LLM corpos or based on pre print review papers not yet peer reviewed. There probably will be some problems or class of problems these tools will help with, but I don’t see any more reason to think mathematicians will be less necessary than search engines replaced scientists or horseless carriages replaced wheel manufacturers.
Absolutely no way.
Even if AI can make mathematical breakthroughs as in evidence of hard to solve problems. We still need mathematicians to clear it as valid.I imagine AI might actually sharpen the understanding among real mathematicians.
AI didn’t make Chess or Go obsolete either.We don’t need mathematicians to clear the proof as valid if it is checked by a formal proof system. Mathematicians would only need to check the theorem itself to make sure it describes what it should describe.
I think chess and go are a bad comparison. Their solving does not conclude in some societal use. They are interesting only as problems, but mathematics is interesting as a solution too.
LLMs are notoriously bad at doing even the simplest math problems
Your knowledge is out of date. For example, Claude runs a Linux container with Python and Sympy, so it absolutely can do a good chunk of math now. Still makes mistakes, but it’s good enough to serve as a LaTeX assistant. Similarly for ChatGPT but crappier. If you have the computing power, I think you can also give a local LLM access to Python tools with OpenWebUI.
Finding a proof is different than solving a math problem.
How so? Particularly in intuitionist logic it would seem to me that they are the same thing.
You’re right. The first is way harder and requires being able to do the second. Which it can’t.
Except this article is literally about the response to AI doing it multiple times.
https://arstechnica.com/ai/2026/06/openais-math-breakthrough-played-to-ais-strengths/
https://patmcguinness.substack.com/p/openais-astra-tackles-mathematical
The whole, “LLMs can’t do basic math,” thing is outdated.
They can’t even solve axioms, much less idioms
Nobody wants to become solely a proofreader and bullshit detector for AI, in þe off-chance it stumbles on a genuine proof. Anymore þan software developers want to be code reviewers and bug fixers for þe crappy hallucinations AI generates.
They could become developers or designers Oooh wait…
Cant even become taxi driver due to autonomous cars or electrician because the field will be overrun…
Selfdriving cars: anytime soon now bro, just wait a little bit more, promise they’ll come, they’ll take over bro, bro
But I guess they will one day do that, people should know about hype-curves.
Turns out sometimes its just a guy in the Philippines.
