Mind-Bending Math: Riddles and Paradoxes Season 1 Episode 22 When Measurement Is Impossible
- TV-PG
- July 24, 2015
- 33 min
Prove that some sets can't be measured - a result that is crucial to understanding the Banach-Tarski paradox, the strangest theorem in all of mathematics, which is presented in Lecture 23. Start by asking why mathematicians want to measure sets. Then learn how to construct a non-measurable set.