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 ...

Aczel's compact and fascinating work of mathematical popularization uses the life and work of the German mathematician Georg Cantor (1845-1918) to describe the history of infinity--of human thought ...

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 ...

Georg Cantor was a German mathematician of Iberian Jewish descent whom Bertrand Russell considered to be one of the greatest minds of the 19th century. In the course of a colorful but unhappy life, ...

Have you even thought deeply about Buzz Lightyear's famous catchphrase from the "Toy Story" movies? Probably not. But maybe you've sometimes looked up at the night sky and wondered about the nature of ...

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 ...