OpenAI has once again made headlines with a bold claim, this time asserting that its new reasoning model has solved an 80-year-old math problem. However, this isn't the first time the company has faced scrutiny for such assertions. In the past, OpenAI's former VP, Kevin Weil, announced that GPT-5 had solved 10 previously unsolved Erdős problems, only to later retract the claim after it was revealed that the solutions already existed in the literature. This time, however, OpenAI seems to have taken a more cautious approach, publishing companion remarks alongside the announcement and seeking support from mathematicians like Noga Alon, Melanie Wood, and Thomas Bloom. The claim this time is that the model has discovered an entirely new family of constructions that performs better than previously believed solutions, marking the first time AI has autonomously solved a prominent open problem central to a field of mathematics. This has significant implications for various fields, including biology, physics, engineering, and medicine, as AI systems become more capable of holding together long, difficult chains of reasoning and connecting ideas across different disciplines. However, as an expert commentator, I think it's important to approach this claim with a critical eye. While the discovery is undoubtedly exciting, it's essential to consider the broader implications and the potential for misunderstanding. Personally, I think the fact that OpenAI has been able to make such a significant discovery with a general-purpose reasoning model is a testament to the power of AI. However, it's also important to remember that AI is a tool, and the true value of this discovery will depend on how it is used and applied in the future. From my perspective, this raises a deeper question about the role of AI in advancing human knowledge and understanding. As AI systems become more capable, it's essential to consider the ethical and societal implications of their use. What other unseen wonders are waiting in the wings? In conclusion, while OpenAI's claim is undoubtedly exciting, it's important to approach it with a critical eye and consider the broader implications. The discovery of a new family of constructions that performs better than previously believed solutions is undoubtedly significant, but it's also essential to remember that AI is a tool, and the true value of this discovery will depend on how it is used and applied in the future.
