This is what happens when you mess with infinity. You might think that if you simply started adding the natural numbers, 1 plus 2 plus 3 and so on all the way to infinity, you would get a pretty big ...

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 ...

The physical—and metaphysical—topic of infinity can be reflected upon in various ways. Yet, in examining a multitude of quotes on this most fascinating subject of boundlessness and inexplicability, I ...

To determine the nature of infinity, mathematicians face a choice between two new logical axioms. What they decide could help shape the future of mathematical truth. In the course of exploring their ...