🚨 BREAKTHROUGH: Stanford Medicine scientists say they have found how to regrow worn-down joint cartilage
They targeted a specific aging trigger called 15-PGDH a protein that roughly doubles in your knees as you get older.
Here's what they did.🧵
BREAKING: OpenAI’s solution to Navier–Stokes does not match its Lean verification.
The most important article to read today is not one of OpenAI’s 700 AI-generated math papers.
It is this other paper, making a deep and worrying point:
A Lean-verified proof does not automatically validate the proof written in natural language, nor does it mean that the formal statement captures the intended theorem.
During translation, an AI can change an assumption, weaken a statement, or replace the argument entirely.
It can hallucinate another theorem.
Lean correctly verifies the result.
But the proved result may no longer be what the paper claims.
This is a general problem. Things get spicy when the authors examine OpenAI’s proposed Navier–Stokes solution.
They identify at least two mismatches between the written intermediate results and their Lean counterparts:
One estimate claims that four additional input derivatives suffice. The Lean version requires five: a weaker result.
A pressure-flux estimate is obtained through a different bound, and proved through a different argument.
It is not clear whether these mismatches invalidate the entire proof.
But they raise an important issue.
OpenAI is flooding us with claimed revolutionary breakthroughs. Yet nobody knows whether the proofs are correct or whether they prove what they claim to be proving.
Epistemia at scale.
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Paper in the first reply
I think I found a planet nobody knew existed.
It's been hiding in NASA telescope data for seven years.
At the end of this thread, you can fly to it yourself.
Lucky coincidence the labs are only successfully cracking esoteric math problems and not the problems where a solution would give the winner an asymmetric commerical advantage.
@ElliotGlazer Not providing the formalization of every claim was a poor choice. There was no rush for the 400 results dump, they could have released the fully formalized second batch at a later date.
I couldn’t agree more with Demis: “The most important thing we can apply AI to is improving medicine and human health.”
That’s the mother of all problems, and AI or rather superintelligence (SI) is the perfect and only way we’ll solve it!