The Man Who Almost Broke Math (And Himself...)

How do you make infinite choices?▀▀▀You'll find our full back catalogue of hundreds of videos on ⁠⁠⁠⁠⁠⁠⁠YouTube⁠⁠⁠⁠⁠⁠⁠⁠ . For early access videos, bonus content, and to support the channel, join us on ⁠⁠⁠⁠⁠⁠⁠⁠Patreon. ⁠⁠⁠▀▀▀0:00 What comes after one?2:42 Some infinities are bigger than others6:17 The Well Ordering Principle 10:32 Zermelo And The Axiom Of Choice17:22 Why is the axiom of choice controversial?23:16 The Banach–Tarski Paradox27:53 Obviously True, Obviously False29:58 Your Proof Your Choice

Veritasium

Ve - An element of truth. Veritasium is a channel of science and engineering videos featuring experiments, expert interviews, cool demos, and discussions with the public about everything science. Created by Dr. Derek Muller, the channel has over 17 million subscribers and 3 billion views on YouTube. You'll find our full back catalogue of hundreds of videos on ⁠YouTube⁠ - https://www.youtube.com/@veritasium. For early access videos, bonus content, and to support the channel, join us on ⁠Patreon - https://www.patreon.com/c/veritasium.

• No. of episodes: 69
• Latest episode: 2025-06-06

Where can you listen?