For four decades, a quiet boundary in pure mathematics kept a powerful theorem locked inside the safe world of finite quantities. Now a new result known as Sebestyen’s theorem has pushed that boundary ...

A classic math rule now handles infinity. New work strengthens the math behind physics and unbounded systems. % ...

The big thinkers at Aperture explore infinity and the different ways it appears in mathematics and physics. Suspected ...

athematics is, at its core, an art. Like painters, musicians or writers, mathematicians create and explore new worlds. They ...

When mathematician Georg Cantor first glimpsed the true nature of infinity, it changed mathematics forever. He demonstrated that infinity isn’t just endless—it exists in different sizes, each opening ...

The “ultrafinitists” who seek to abolish the use of infinity in mathematics reminded me of the influential Dutch mathematician L. E. J. Brouwer, renowned for proving Brouwer’s fixed-point theorem. He ...