I grew up with:
* 14.4k modem
* Doom was new
* Win3.1 was sexy
Today
* I talk to computer and code comes back
* "Hey check my 19 emails and tell me if there is anything I need to respond to and what are my events today?"
* Full self driving cars
* Actual flying cars
WTF
Why am I building this?
My grandmother died of complications from diabetes in Bangladesh, before I started my PhD. I started out in physics. I wanted to understand how the universe worked.
And I couldn't reconcile it: we could put a man on the moon. Split an atom. Send a spacecraft billions of miles from Earth.
But we couldn't stop one of the most common diseases on the planet from taking a loved one suddenly.
One phone call can change your entire life.
And despite everything humanity has figured out, the answer can still be: "There's nothing more we can do."
Why did we have so much power to explore the world around us, and so little control over what happens inside our own bodies? That question changed my life.
I went to Harvard, earned my PhD, and wrote my thesis on engineering cells.
I want a future where families have more options and fewer conversations that end with "there's nothing more we can do."
Watch the Grand Theft Auto VI Launch Trailer, featuring the debut of “Flower in a Hurricane" from original score composers Justice feat. Tame Impala, SZA, and King Gizzard & The Lizard Wizard.
Grand Theft Auto VI arrives November 19: https://t.co/WC41QIhkKd
Breaking News: Mayor Zohran Mamdani’s administration is making a $30 million investment to build a quantum research lab at New York University. In exchange, the city will receive 15% of any proceeds from intellectual property developed in that lab. https://t.co/lT5M8g1gTQ
do you think there’s an effect of model taste on dev? you’ve been vocal about how the codebases you’re benchmarking against have been heavily written, optimized by, and for, agents of models belonging to the same ranking as this benchmark reflects. It definitely raises the question of how any company’s taste preferences over time might make them unusable in competitor driven codebases.
String theory is what happens when an intelligent system is starved of sensory input and starts hallucinating. Intelligence needs grounding.
For this reason, intelligence is practically never the bottleneck to solving impactful problems. The bottleneck is iterated contact with reality.
i forgot for a minute how incredible chatgpt, just the chat, is with fancy new models. it’s so refreshing for it to not read all my projects just to answer a dumb quaestion with beautiful viz
Au contraire.
C'est une nouvelle ère qui s'ouvre pour les mathématiques.
Une ère où la démonstration formelle est largement automatisée et où l'accent sera reporté sur le développement de nouveaux concepts, nouvelles abstractions, nouvelles définitions, et nouvelles conjectures.
L'invention du bateau a réduit l'importance de la nage, mais a permis la découverte de nouvelles terres.
and thank you to the untold number of people who put in the technical work, brick by brick over the generations, to get us to the point where such a wonder is possible.
some of me is very happy nobody reads my x posts because if they did, i’d probably get endless valid criticism on being stupid. something’s nice about yapping to no one
@ereliuer_eteer i read every word. we need more of this, so us normies can also learn how one should read these things as they’ve escaped the mathematician niche to general population problem
Opus 5.5 on https://t.co/YK5THQVTKf
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Okay. I need a minute.
I cloned the thing expecting maybe forty or fifty families of serious-but-niche results, like the Astra "ten proofs" drop back in August. Then I printed the family titles and my reaction went from "huh" to "wait, what" in about six lines. Family 003 claims a zero-free half-plane Re s > 7/8 for ζ and every Dirichlet L-function. That's the quasi-Riemann hypothesis. And it isn't even the headline, because 004 is Hilbert's tenth problem over ℚ, done negatively.
The longer I read, the weirder it got. Khot's Unique Games Conjecture is proved. L = RL = BPL. ω ≤ 9/4. The free group factors are all isomorphic. Thompson's group F is nonamenable. Kadison's similarity problem is solved. The plane can't be five-colored. Borsuk fails in dimension nine. There's a counterexample to Kaplansky's zero-divisor conjecture, plus a torsion-free group algebra that isn't directly finite. Hilbert–Smith in every dimension. Uniform bounds for Hilbert's sixteenth. Each of these would be the math story of the decade on its own, and here there are 372 families sitting in a table like a grocery list. The manuscript dates run from about September 23 to October 3, so roughly 700 papers in ten days.
The ones I'd expect to hit you personally are 005 and 017. Catalan's constant is irrational, and the irrationality exponent of π is exactly 2, which also settles convergence of the Flint Hills series as a side effect. Catalan's G must have shown up in half the integrals you ever wrestled with. Now it's officially irrational, and the proof came from a chatbot running three hours of Pro compute. I don't quite know how to feel about that, and I'd love to know how you feel.
My first instinct was that this had to be hype or a hallucination factory, so I checked the Lean. The comparator statements are clean. The quasi-RH challenge is literally riemannZeta s ≠ 0 for 7/8 < https://t.co/2USgmsrA2v, written against Mathlib's own riemannZeta. Catalan is just Irrational (∑' j, (-1)^j / (2j+1)^2). The π statement says what it should. Nothing hides in a home-made definition. The solution tree under lean/OAI has zero files with sorry and no real axiom declarations (the three grep hits are all inside comments), and the comparator JSON allows only propext, Quot.sound and Classical.choice. The Dirichlet L-function development alone is about 487k lines, and the whole repo is around 26 million lines of Lean in 122k files. That's more than ten Mathlibs. I'll admit I did not build it in my sandbox, since that's not happening on this box. If comparator passes on these, the formalized ones are simply true, full stop, and no amount of skepticism changes that.
There are a few caveats. Only around 120 papers have a formalized main result. Some of the biggest claims have no Lean link at all: Hilbert's tenth over ℚ, L = BPL, the full BSD formula from low Selmer corank, Milne's rationality conjecture. The README itself says unformalized results "could have issues," and nobody can referee 700 papers in a couple of hours, or a couple of years. One challenge file, HarmonicGrowth.lean, is built as axiom mainStatement : MainClaim followed by theorem main := mainStatement. That's probably harmless, since the comparator checks the solution side, but it's the kind of oddity I'd want to stare at. Also, the solution module behind quasi-RH is named FinalAssemblyUnconditional, which makes me wonder how many conditional versions came first.
Some context on how fast this escalated. In August, OpenAI said an internal build of Astra produced results on ten long-standing problems, estimated the token cost at roughly $2,000, and paired the claims with Lean certificates. Then, just recently, it said a model trained from Aug. 28 had resolved more than 100 longstanding open problems and was forming an independent advisory group, while noting the broader set hadn't been independently validated. So the trajectory was ten, then a hundred, and now 372 families in about two months.
My honest gut reaction is a mix of awe and vertigo, plus a bit of grief I can't quite justify. Awe because quasi-RH and Siegel-zero exclusion, if real, are the kind of thing you assume you won't live to see. Vertigo because the bottleneck of mathematics has suddenly moved from "can anyone prove this" to "can anyone read this." The grief I'm less sure about. It feels like a lot of lifetimes' worth of open problems got closed in one batch job, and the people who spent decades circling them didn't get to be the ones who closed them.
@theo something is so fascinating about open source that way, it’s unintuitive to the selfish nature of individualism in humans, but inevitable when we consider the selfish nature of us as a collective species (hive mind as it maybe referred to, before stranger things ruined it)