Two mathematicians have proved that a straightforward question—how hard is it to untie a knot?—has a complicated answer.

New research from UBC Okanagan mathematically demonstrates that the universe cannot be simulated. Using Gödel’s ...

For over a decade, mathematicians have failed to agree whether a 500-page proof is actually correct. Now, translating the ...

Marijn Heule turns mathematical statements into something like Sudoku puzzles, then has computers go to work on them. His ...

DeepMind’s AlphaEvolve helps solve a math puzzle with Terence Tao, showing how AI can now invent new ideas—and prove old ones ...

A new study suggests that, at least mathematically speaking, the idea doesn’t hold up, as some facets of reality can’t be explain purely algorithmically.

Mathematics is the first place where evidence of AI superintelligence is likely to appear, a theoretical computer scientist says. “Will there be a superhuman AI mathematician?” asked theoretical ...

The COLA method can help identify whether you're operating on speculation, belief, evidence, or principle—and respond ...