For centuries, the concept of infinity has captivated mathematicians and philosophers alike, stretching far beyond the simple idea of endless counting. Recent groundbreaking discoveries, however, have ...

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 ...

Infinity is a truly beautiful concept in the mathematical sciences. And yet, despite this fact, we still have plenty of things that we just don’t know, or understand about infinity. Let me give an ...

It’s an idea straight out of the schoolyard: that you might one day accidentally count so high that you break the laws of math. A new preprint (that has not yet been peer-reviewed) seems to have done ...

Several years ago, I tried to explain infinity to a class of fifth graders. In the story that I told them, I was preparing to eat a piece of cake when a friend walked in on me. Being polite, I gave ...

Infinity used to be the place where mathematics ran out of road, a hazy horizon rather than a mapped landscape. Now a pair of new, exotic infinities is forcing researchers to redraw that map and ...

(THE REPORTER) — Now that everyone has mini-supercomputers that pretend to be phones in their pockets, it can be challenging to get young people to learn problem-solving skills that do not involve ...