The Banach-Tarski Paradox

The Banach-Tarski Paradox

A mouthful no doubt! This week we go over just how a mathematical universe differs from a physical one on the basis of the Axiom of Choice. More interestingly, if we exploit this paradox, we can clone anything we want with the exact same properties as the original. As per Andrew's note, you can see an example of a fractal here. Really amazing stuff to say the least.

Barbarian Horde is by Hans Zimmer

The Thought Experiment

The Thought Experiment is a podcast devoted to theoretical situations of the same name. Once a week, we cover a thought experiment from the fields of mathematics, physics or philosophy.

• No. of episodes: 17
• Latest episode: 2011-08-08
• Science

Where can you listen?