Infinity is bigger than any number. But saying just how much bigger is not so simple. In fact, infinity comes in infinitely many different sizes—a fact discovered by Georg Cantor in the late 1800s.

Katie has a PhD in maths, specializing in the intersection of dynamical systems and number theory. She reports on topics from maths and history to society and animals. Katie has a PhD in maths, ...

What can baby carrots tell us about infinity? Photo by ilovebutter/flickr/CC BY 2.0 Infinity is big. Really big. As mathematician Eugenia Cheng puts it, it’s the “biggest thing there is.” In her new ...

Imagine Earth were to shrink to the size of a marble. We might be in trouble, but the planet would continue its smooth course around the sun while the moon would maintain its orbit, circling Earth ...