In mid-May, OpenAI announced that an internal AI model had disproved the Erdős unit distance conjecture, a famous problem in ...

The result is correct but challenges core norms of mathematics: checking proofs, crediting ideas and keeping research open to ...

Mathematician Will Sawin discusses his experience reviewing and refining a mathematical proof devised by OpenAI's internal ...

In a new open-access study that I published with my late colleague Kostya Trachenko from Queen Mary University of London, I propose a surprisingly simple nonlinear mathematical equation that unifies ...

The closest the field has come to solving the planar unit distance problem, first proposed in the 1940s, was in 1984. Now, OpenAI claims an internal model has cracked the puzzle.

Can advanced mathematics decode the exotic geometries of a psychedelic trip to unlock a new science of reality?

Psychedelic drug experiences are among the most fascinating but mysterious journeys of the human mind. Long the domain of ...

A mathematical model has now cracked the exact degree to which one should be ambitious and unlike conventional wisdom, it ...

Adam Hayes, Ph.D., CFA, is a financial writer with 15+ years Wall Street experience as a derivatives trader. Besides his extensive derivative trading expertise, Adam is an expert in economics and ...

Researchers formulated a mathematical equation that unifies 12,000 years of human population growth and points to an alarming ...