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The Banach-Tarski Paradox

 
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Manage episode 69046568 series 69096
Content provided by Scott V. Burger. All podcast content including episodes, graphics, and podcast descriptions are uploaded and provided directly by Scott V. Burger or their podcast platform partner. If you believe someone is using your copyrighted work without your permission, you can follow the process outlined here https://player.fm/legal.
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

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18 episodes

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The Banach-Tarski Paradox

The Thought Experiment

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Manage episode 69046568 series 69096
Content provided by Scott V. Burger. All podcast content including episodes, graphics, and podcast descriptions are uploaded and provided directly by Scott V. Burger or their podcast platform partner. If you believe someone is using your copyrighted work without your permission, you can follow the process outlined here https://player.fm/legal.
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

  continue reading

18 episodes

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