Working in secret for more than two years, a group of mathematicians has set out to resolve of the longest and most bitter ...
In ancient Greece, Euclid showed that if you agree on a small list of preliminary principles, or axioms, you can use deductive reasoning to reveal all sorts of new mathematical truths. But although ...
New research has found ChatGPT-5.2 can generate original mathematical proofs, introducing “vibe-proving” as a new AI ...
Some scientific discoveries matter because they reveal something new — the double helical structure of DNA, for example, or the existence of black holes. However, some revelations are profound because ...
Yesterday I was doing some literature review for an article I’m writing about my inverted transition-to-proof class, and I got around to reading a paper by Guershon Harel and Larry Sowder¹ about ...
Recently, two American high school students made headlines for discovering a new proof of the Pythagorean theorem. Calcea Johnson and Ne'Kiya Jackson, seniors at St. Mary's Academy in New Orleans, ...