Math is always reinventing itself. In the late 19th century, its foundations were still shaky, its definitions and assumptions vague and uncertain. Mathematicians spent decades fixing the problem, setting the course of the modern era. But they never stopped questioning their most basic assumptions. This special issue explores how mathematicians are still renovating and rebuilding the core pillars of their field today.
Intuition breaks down once we’re dealing with the endless. To begin with: Some infinities are bigger than others.
For 50 years, mathematicians have believed that the total number of real numbers is unknowable. A new proof suggests otherwise.
