How big is infinity? - Dennis Wildfogel
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Using the fundamentals of set theory, explore the mind-bending concept of the “infinity of infinities” -- and how it led mathematicians to conclude that math itself contains unanswerable questions.
Infinity plus one. In a magical town in a far away land, the only place where visitors can stay is The Infinite Hotel. This hotel has rooms numbered 1, 2, 3, and so on, one room for each positive whole number. One day, a mathematician on vacation showed up at the Infinite Hotel and asked for a room. “I’m sorry,” said the proprietor, “all the rooms are taken.” “That’s no problem,” said the mathematician. “You can still free up a room for me.” He then explained to the proprietor what to do. “Oh, I see!” exclaimed the proprietor. “Very clever! We’ll do that and then put you in the empty room.” What did the mathematician tell the proprietor to do?
About Space Ed
Space Ed helps you untangle the mysteries of space with the universe’s best videos on everything from Einstein's theory of relativity to what it would take to live on Mars. Brush up on the science, philosophy and mystery of space, because the fabric of the universe is the same fabric that connects us all.
Meet The Creators
- Narrator Dennis Wildfogel
- Director Aaron Augenblick
- Animator Hal Lee
- Producer Lisa Thomas
