It seems misleading to lump AlphaGeometry in with this: that system works by having an LLM generate hundreds of Lean programs and trying to find the one that wo

It seems misleading to lump AlphaGeometry in with this: that system works by having an LLM generate hundreds of Lean programs and trying to find the one that works. Frankly the project is pointless and borderline dishonest: it is a hideously expensive way to solve useless Olympiad problems, but it won't work at all for actual mathematical research since we wouldn't have nearly enough training data. It does not represent even the slightest advancement at AI performing mathematics, it's pure gimmickry. I suspect the entire point of AlphaGeometry is to generate comments like yours, "AI is now an Olympian-level mathematician." The real AI math advancement will be a computer which is as smart as a pigeon and innately understands what a number is, which means it is able to solve simple counting problems without training. AlphaGeometry or Strawberry aren't even close to that, and I suspect none of us will live to see such a sophisticated AI.