At the turn of the 20th century, the renowned mathematician David Hilbert had a grand ambition to bring a more rigorous, mathematical way of thinking into the world of physics. At the time, physicists ...

This library contains a formal proof of the Four Color Theorem in Coq, along with the theories needed to support stating and then proving the Theorem. This includes an axiomatization of the setoid of ...

In a report posted online today, Peter Scholze of the University of Bonn and Jakob Stix of Goethe University Frankfurt describe what Stix calls a “serious, unfixable gap” within a mammoth series of ...