Zero to Infinity

Zero and infinity. These seemingly opposite, obvious, and indispensable concepts are relatively recent human inventions. Discover the surprising story of how these key concepts that revolutionized mathematics came to be – not just once, but over and over again as different cultures invented and re-invented them across thousands of years.

One of the oldest calculus problems, finding the area of a circle, can be visualized using a pizza. By dividing it up into ever smaller slices and laying them out next to one another, eventually you get something close a rectangle.

In a thought experiment first proposed in the 1920s, the Hilbert’s Hotel has an infinite number of rooms and helps demonstrate some of the strange properties of infinity.