One question has preoccupied humankind for thousands of years: Do infinities exist? More than 2,300 years ago Aristotle distinguished between two types of infinity: potential and actual. The former ...

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 ...

What is the largest natural number possible? By using the word natural, I have ruled out the possibility that you simply answer infinity (∞) to torpedo the guessing game. But even if we allowed ...

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 ...