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The Banach-Tarski Paradox

 
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Kandungan disediakan oleh Scott V. Burger. Semua kandungan podcast termasuk episod, grafik dan perihalan podcast dimuat naik dan disediakan terus oleh Scott V. Burger atau rakan kongsi platform podcast mereka. Jika anda percaya seseorang menggunakan karya berhak cipta anda tanpa kebenaran anda, anda boleh mengikuti proses yang digariskan di sini https://ms.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 episod

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The Banach-Tarski Paradox

The Thought Experiment

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Manage episode 69046568 series 69096
Kandungan disediakan oleh Scott V. Burger. Semua kandungan podcast termasuk episod, grafik dan perihalan podcast dimuat naik dan disediakan terus oleh Scott V. Burger atau rakan kongsi platform podcast mereka. Jika anda percaya seseorang menggunakan karya berhak cipta anda tanpa kebenaran anda, anda boleh mengikuti proses yang digariskan di sini https://ms.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 episod

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