Topic: future mathematics

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  • How New Math Solves Ancient Geometry Problems
    September 27, 2025
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    How New Math Solves Ancient Geometry Problems

    Ancient Greek mathematicians posed deceptively simple geometric counting problems, such as determining how many circles touch three given circles, which took nearly two millennia to solve and evolved into the field of enumerative geometry. After a period of decline, enumerative geometry is experi...

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  • Mathematicians Battle AI in Secret Showdown
    July 13, 2025
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    Mathematicians Battle AI in Secret Showdown

    But Glazer wanted to speed things up, so Epoch AI hosted the in-person meeting on Saturday, May 17, and Sunday, May 18. For two days, the academics competed against themselves to devise problems that they could solve but would trip up the AI reasoning bot. “It was starting to get really cheeky,” says Ono, who is also a freelance mathematical consultant for Epoch AI. Discussions turned to the inevitable “tier five”—questions that even the best mathematicians couldn't solve. If AI reaches that lev...

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