Dubai, The Banach–Tarski Paradox
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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/wiki/Banach%E2%80%93Tarski_paradox Banach-Tarski proofs: http://math.uchicago.edu/~may/REU2014/REUPapers/Robinson.pdf https://www.math.hmc.edu/~su/papers.dir/banachtarski.pdf http://people.math.umass.edu/~weston/oldpapers/banach.pdf Banach-Tarski explinations online: http://www.irregularwebcomic.net/2339.html http://www.kuro5hin.org/comments/2003/5/23/134430/275?pid=5#10 http://skepticsplay.blogspot.co.uk/2010/05/doubling-sphere.html http://austinrochford.com/posts/2014-05-14-banach-tarski-paradox.html http://www.math.cornell.edu/~mec/Summer2009/Whieldon/Math_Explorers_Club%3A__Lesson_Links/Entries/2009/7/28_Lesson_6%3A__Whats_an_Anagram_of_Banach-Tarski.html http://rachellevanger.com/index_files/BT%20Animated%20Presentation%20Web.pdf http://quibb.blogspot.co.uk/2013_03_01_archive.html http://blog.computationalcomplexity.org/2011/04/what-did-banachs-wife-think-of-banach.html https://geopolicraticus.wordpress.com/tag/banach-tarski-paradox/ http://dgleahy.com/p47.html https://www.math.hmc.edu/funfacts/ffiles/30001.1-3-8.shtml Cayley graph animated gif: https://twitter.com/GIFsofWikipedia/status/624202342259240960 Hilbert’s hotel on wikipedia: https://en.wikipedia.org/wiki/Hilbert%27s_paradox_of_the_Grand_Hotel types of infinity: http://www.xamuel.com/levels-of-infinity/ set theory and quantum physics: http://link.springer.com/article/10.1007/BF02213427#page-1 LHC gif: http://cms.web.cern.ch/news/lhc-data-be-made-public-open-access-initiative Zermelo-Fraenkel axioms of mathematics: http://mathworld.wolfram.com/Zermelo-FraenkelAxioms.html Is math invented or discovered? http://phys.org/news/2013-09-mathematics-effective-world.html http://www.scientificamerican.com/article/is-the-universe-made-of-math-excerpt/ more deep dream images: https://www.reddit.com/r/deepdream/ BOOKS: The Pea and the Sun: http://www.amazon.com/The-Pea-Sun-Mathematical-Paradox/dp/1568813279 The Outer Limits of Reason: http://www.amazon.com/Outer-Limits-Reason-Science-Mathematics/dp/0262019353 Why Beliefs Matter: http://www.amazon.com/Why-Beliefs-Matter-Reflections-Science/dp/0198704992 Things to Make and do in the Fourth Dimension: http://www.amazon.com/Things-Make-Fourth-Dimension-Mathematicians/dp/0374275653 Music by http://www.youtube.com/JakeChudnow and http://www.audionetwork.com
Comments
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you notice how "both" dollar bills have the top of Washington's head?
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very interesting vid.
you have a new sub -
The sphere part is so fluffy
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you know that when that 1:20 music hits in. shits about to get real
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1:47 those ripped up pieces got bigger, and the two bills have different serial numbers...
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Math, it's been indoctrinated into you to help you believe in a flawed system. Infinity, is actually a question, for you to seek answer it goes deeper & deeper into the obis. just like "is there a beginning and a end". Is there a god or no god. Bottom line is you "have to have" a believe in something to ever have a view of your perceived reality. I've named it the "DAM Parodix" (yes there's pun there) Bottom line, Math is just one of an infinite number of theories... Math gives way to the absurdity known as quantum mechanics & Shit like dark energy, Dark Matter... All absurdities!
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11:07 hear that super quiet squeaking in the right speaker/headphone?
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mindblown
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Hacks at Brain! (apropos anagram)
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what
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almost as confusing as me trying to work out how i shot first but still died in COD
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21:50 when the lsd kicks in
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No such a progress cannot happen in the real world, infact all the concept in this video are pure abstract and make use of something that does not exist, namely infinity
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Let the "pole hole" jokes begin.
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Whats with: ∞ - ∞, ∞ + ∞, ∞:∞, ∞X∞?
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everything that exists has a shape, so what shape is the universe? it's infinitely wide, so it has no shape. but if it has no shape, how can it exist?
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Those are two different dollars
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This couldn't happen in reality because not all ZFC axioms aren't all true in reality .
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My friend told me it was illegal to rip currency in the us
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For the Sphere, is it making every countable point a starting point that works?
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