Comment by bachmeier
11 hours ago
My interpretation is that Claude did what Knuth considers to be the "solution". Doing the remaining work and polishing up the proof are not necessary to have a solution from this perspective.
11 hours ago
My interpretation is that Claude did what Knuth considers to be the "solution". Doing the remaining work and polishing up the proof are not necessary to have a solution from this perspective.
Claude did not find a proof, though. It found an algorithm which Knuth then proved was correct.
The insight is the point of research. Proof isn't the desired product of research, it's simply an apparatus that exists for the purpose of verifying and demonstrating correctness of insight.
Yes, and his point is that finding that algorithm was, to Knuth, the interesting part. Getting from that to a proof was the boring bit.
Yeah, and I'm not sure what the other guy's argument is. It's Knuth, the primary researcher, who is giving the praise here. I don't see a possible motivation he would have to falsely give accolades to a AI for a problem he presented, then cleaned up to solve.