The Banach–Tarski Paradox

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  • Published on:  7/31/2015
  • Q: "What's an anagram of Banach-Tarski?" A: "Banach-Tarski Banach-Tarski."twitter: https://www.twitter.com/tweetsauceInstagram: http://www.instagram.com/electricpantsKevin’s Field Day video: https://www.youtube.com/watch?v=1zARM...Field Day: https://www.youtube.com/channel/UCRPk...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_...Chocolate illusion: http://mathandmultimedia.com/2014/07/...Chocolate illusion video: https://www.youtube.com/watch?v=dmBsP...related Numberphile videos:sizes of infinity (includes diagonal argument): https://www.youtube.com/watch?v=elvOZ...infinity paradoxes: https://www.youtube.com/watch?v=dDl7g...Vi Hart on types of infinity: https://www.youtube.com/watch?v=23I5G...Countable & uncountable definitions: http://mathinsight.org/definition/unc...https://en.wikipedia.org/wiki/Countab...https://en.wikipedia.org/wiki/Uncount...Banach-Tarski on wikipedia: https://en.wikipedia.org/wiki/Banach%...Banach-Tarski proofs:http://math.uchicago.edu/~may/REU2014...https://www.math.hmc.edu/~su/papers.d...http://people.math.umass.edu/~weston/...Banach-Tarski explinations online:http://www.irregularwebcomic.net/2339...http://www.kuro5hin.org/comments/2003...http://skepticsplay.blogspot.co.uk/20...http://austinrochford.com/posts/2014-...http://www.math.cornell.edu/~mec/Summ...http://rachellevanger.com/index_files...http://quibb.blogspot.co.uk/2013_03_0...http://blog.computationalcomplexity.o...https://geopolicraticus.wordpress.com...http://dgleahy.com/p47.htmlhttps://www.math.hmc.edu/funfacts/ffi...Cayley graph animated gif: https://twitter.com/GIFsofWikipedia/s...Hilbert’s hotel on wikipedia: https://en.wikipedia.org/wiki/Hilbert...types of infinity: http://www.xamuel.com/levels-of-infin...set theory and quantum physics: http://link.springer.com/article/10.1...LHC gif: http://cms.web.cern.ch/news/lhc-data-...Zermelo-Fraenkel axioms of mathematics: http://mathworld.wolfram.com/Zermelo-...Is math invented or discovered?http://phys.org/news/2013-09-mathemat...http://www.scientificamerican.com/art...more deep dream images: https://www.reddit.com/r/deepdream/BOOKS:The Pea and the Sun: http://www.amazon.com/The-Pea-Sun-Mat...The Outer Limits of Reason: http://www.amazon.com/Outer-Limits-Re...Why Beliefs Matter: http://www.amazon.com/Why-Beliefs-Mat...Things to Make and do in the Fourth Dimension: http://www.amazon.com/Things-Make-Fou...Music by http://www.youtube.com/JakeChudnow andhttp://www.audionetwork.com
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