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The Banach-Tarski Paradox
The Thought Experiment
English - September 03, 2007 22:06 - 16.1 MB - ★★★ - 4 ratingsNatural Sciences Science physics astronomy knowledge thought experiment philosophy Homepage Download Apple Podcasts Google Podcasts Overcast Castro Pocket Casts RSS feed
Previous Episode: Rachel Cooper's Overview on Thought Experiments (guest)
Next Episode: Heisenburg's Uncertainty Principle
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