How AI could influence our understanding of mathematics: A computer scientist-novelist’s reflections
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On September 8, OpenAI claimed it had solved the Navier-Stokes problem. “The question of whether smooth three-dimensional fluid motion can break down has remained unresolved for roughly 90 years,” Open AI said. It put 10,000 AI agents to work on it and the task took 88 hours. What might this mean for how we “do” mathematics?
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It is not really clear how mathematicians chose to become mathematicians. After all, there are no “creative mathematics” courses for the budding mathematician the way there are “creative writing” courses for the budding storyteller or poet. There are no celebrity mathematicians to crush on (let’s ignore Brian Cox). Mathematics books for children have ominous reassurances of just how fun, just how easy, just how natural the subject is; this is in direct contradiction with the student’s own experience. So either the books are lying or the student is a duffer. Frankly, given the circumstances, it is a wonder anyone becomes a mathematician.
Though we do not know how mathematicians are made, we do know what mathematicians do after they become professional mathematicians. They work on proofs. That’s really it. They prove things day in and day out, and if they have time left to spare or if their lunch money depends...