The painstaking process of formalization to verify proofs is starting to surge thanks to AI. That could radically change the ...

Sign up today for a weekly math essay and puzzle in your email inbox. Last week we discussed the best way to divvy up a pizza ...

The incompleteness theorem is accepted as part of the mathematical canon today, but columnist Jacob Aron says it was a ...

In 1931, the Austrian logician Kurt Gödel pulled off arguably one of the most stunning intellectual achievements in history. Mathematicians of the era sought a solid foundation for mathematics: a set ...

Add Yahoo as a preferred source to see more of our stories on Google. Ne'Kiya Jackson, left, and Calcea Johnson have published an academic paper detailing how they proved Pythagoras' theorem.

Take an outline map of the lower 48 U.S. states and four crayons. Can you shade in the map so that every state is a different color than each of its neighbors, without resorting to a fifth color? This ...

The field of Reverse Mathematics explores the minimal axiomatic frameworks necessary to prove classical theorems, seeking to elucidate the logical foundations of mathematics. In parallel, ...

They used powerful mathematical theorems—including Gödel's incompleteness theorem—to prove that a complete and consistent description of everything requires what they call "non-algorithmic ...