OpenAI model solves hundreds of unsolved mathematical problems: “It creates a great sense of emptiness”

OpenAI has suddenly released hundreds of mathematical functions generated by one of its most advanced artificial intelligence models. All in all the company shared Results 719 documents in 372 familiesMany of them relate to issues that have not been resolved for years. The surprising thing is that the model used is not yet available to the public and although its results have impressed numerous researchers, not everyone is happy with this new way of doing math.

Works published on GitHub cover fields such as algebra, number theory or theoretical computer science. get them, OpenAI tested its system with about 4,000 open problems And ChatGPT Pro devoted a computing power equivalent to about three hours to each result. Of course, not all displays are verified and the company itself acknowledges that some documents may contain errors.

The announcement comes after OpenAI presented a solution to one of mathematics’ grand challenges, the Navier-Stokes problem, in September. The research provoked criticism from mathematician Tristan Buckmaster, who questioned the role of previous work in the results obtained by AI. This time, the company said it consulted with an independent group of experts to improve the way it shares its findings

Solving problems with AI may be a huge advance, but it also worries mathematicians

Steven Kelk, associate professor of theoretical computer science at Maastricht University, admitted to the Dutch newspaper by the Volkskrant Those who contemplate these findings with admiration. According to him, AI could suddenly make progress equivalent to ten or twenty years of research. However, he also believes that using these systems to arrive at a solution as quickly as possible, leaving aside what is learned during the process poses a significant problem.

In fact, Kelk recognized that the situation left him with “a great sense of emptiness.” For him, research is about making mistakes, collaborating with other professionals, and discovering new ideas while trying to solve problems. If a machine provides a direct answer, consider that part of the experience disappears.

Mathematician Terence Tao has expressed concern about researchers turning to AI without sufficiently understanding the results. And the independent advisory group AGMAI calls for these advances to be shared transparently and allow human knowledge to evolve. OpenAI, for its part, announced Contribution of five million dollars Simons Foundation initiative to help mathematicians study and understand proofs generated by artificial intelligence.

Picture | Canva

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