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.
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.