NEW YORK — Despite being in existence for more than 2,000 years, the concept of infinity has endured as an enigmatic, and oftentimes challenging, idea for mathematicians, physicists and philosophers.

“INFINITY,” wrote the schoolboy, “is the place where things happen that don't.” Similar opinions concerning the paradoxes which arise from the consideration of the infinite and the infinitesimal have ...

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 ...

A set of the six sides of a die matches up one-to-one with a set of red shoes, helping illustrate Georg Cantor's set theorem. Image courtesy of GBH/NOVA It can be easy to take math for granted. But ...

A new kind of infinity appears to break the rules of how extremely large numbers behave, and could redraw the way the mathematical universe is ordered. It may come as a surprise, but mathematicians ...

Have you even thought deeply about Buzz Lightyear's famous catchphrase from the "Toy Story" movies? Probably not. But maybe you've sometimes looked up at the night sky and wondered about the nature of ...