It's quite the irony that in the end he says
> Although the current generation of models is trained to complete tasks rather than to enrich our understanding, and today’s AI companies are misaligned with the goals of the mathematical community, I hope that with time we’ll find ways to use these tools in harmony with human research.
while citing "A Severe Misalignment of AI in Mathematics" [1], which condemns exactly the thing he is doing himself: Mindlessly producing theorems without a corresponding human understanding of the underlying proofs.
Perhaps you and I read this document differently. This is not a “famous problem”, I am not a “major AI company”, and I am genuinely interested in increasing mathematical understanding. To the last point, here is a comment from a mathematician who co-authored the paper that my proof is largely built upon: https://news.ycombinator.com/item?id=49761718
The happy case here is that my obtuse proof leads to a concise and illuminating mathematical proof, which is exactly my hope for the endeavour. I think this could then be a positive example of AI/human and amateur/professional collaboration.
What would a positive example look like to you? What do you think the manifesto argues for?