The Banach–Tarski Paradox

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Support Vsauce, your brain, Alzheimer's research, and other YouTube educators by joining THE CURIOSITY BOX: a seasonal delivery of viral science toys made by Vsauce! A portion of all proceeds goes to Alzheimer's research and our Inquisitive Fellowship, a program that gives money and resources directly to growing STEM channels here on YouTube! https://www.curiositybox.com Q: "What's an anagram of Banach-Tarski?" A: "Banach-Tarski Banach-Tarski." twitter: https://www.twitter.com/tweetsauce Instagram: http://www.instagram.com/electricpants Kevin’s Field Day video: https://www.youtube.com/watch?v=1zARMZ08ums Field Day: https://www.youtube.com/channel/UCRPktNf5vnBR1J4e7t1RUVg Deep dream animation by http://instagram.com/NaderMakki/ If you like it, you'll love this video also by Nader: https://www.youtube.com/watch?v=fJ9j_z2kXI0 Chocolate illusion: http://mathandmultimedia.com/2014/07/22/explanation-infinite-chocolate-bars/ Chocolate illusion video: https://www.youtube.com/watch?v=dmBsPgPu0Wc related Numberphile videos: sizes of infinity (includes diagonal argument): https://www.youtube.com/watch?v=elvOZm0d4H0 infinity paradoxes: https://www.youtube.com/watch?v=dDl7g_2x74Q Vi Hart on types of infinity: https://www.youtube.com/watch?v=23I5GS4JiDg Countable & uncountable definitions: http://mathinsight.org/definition/uncountable https://en.wikipedia.org/wiki/Countable_set https://en.wikipedia.org/wiki/Uncountable_set Banach-Tarski on wikipedia: https://en.wikipedia.org

Published 2015-08-01 · Watch on YouTube ↗
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