In Math, we often talk of how a function behaves as a variable approaches limits at infinity. That is, if we let “x” take on larger and larger values, what happens to the value of “y” it creates? It ...

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 ...

Albert Einstein famously said: “Two things are infinite: the universe and human stupidity. And I'm not sure about the universe.” The notion of infinity has been pondered by the greatest minds over the ...

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 ...

👉 We will explore how to evaluate the limit at infinity. When evaluating the limit at infinity or negative infinity, we are ...

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 ...

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 ...

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 ...

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 ...