On 8 September, OpenAI claimed that its AI agents had solved the Navier-Stokes problem, one of the most famous and difficult challenges in mathematics. Had a human solved it, they would have collected both prize money and plaudits from their fellows. The announcement instead ignited what some mathematicians have called an “existential crisis” in their field over the power of AI, and accusations that OpenAI misused human work.

The maths behind Navier-Stokes is difficult to understand, but the critiques levelled by mathematicians will be familiar to artists, office workers, or anyone else concerned about AI. OpenAI’s results, like any arising from a large language model, depend on digesting work by human mathematicians. The OpenAI paper cites sources, but many believe the company didn’t give sufficient credit, especially to several mathematicians believed........

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