La Géométrie, a short appendix that appeared in Descartes’ famous Discourse on the Method, laid the foundations of analytic ...

While DeepSeek-R1 has significantly advanced AI’s capabilities in informal reasoning, formal mathematical reasoning has ...

Google DeepMind has unveiled two new AI systems that collectively solved four of six problems from this year's International ...

In a new book, the mathematical epidemiologist Adam Kucharski explains how certainty, even in math, can be an illusion.

Mathematicians love the certainty of proofs. This is how they verify that their intuition matches observable truth.

For two millennia, mathematicians have shown the Pythagorean theorem to be true through geometry and algebra, never ...

Google DeepMind's AlphaEvolve AI system breaks a 56-year-old mathematical record by discovering a more efficient matrix multiplication algorithm that had eluded human mathematicians since Strassen's ...

The new research paper, titled "Proof or Bluff? Evaluating LLMs on 2025 USA Math Olympiad," comes from a team of researchers at ETH Zurich and INSAIT at Sofia University led by Ivo Petrov and ...

We need something more robust and sophisticated than testing. We need mathematical proof. Testing is akin to checking each link in a chain to make sure they’re strong. This may work well for a ...

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