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The Banach-Tarski Paradox
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Manage episode 69046568 series 69096
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
18 episod
Fetch error
Hmmm there seems to be a problem fetching this series right now. Last successful fetch was on June 29, 2024 14:10 ()
What now? This series will be checked again in the next day. If you believe it should be working, please verify the publisher's feed link below is valid and includes actual episode links. You can contact support to request the feed be immediately fetched.
Manage episode 69046568 series 69096
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
18 episod
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