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Explore Supertasks with 15,225,737 views, 376,930 likes, and 33,116 comments. Experience the impact of this video content that has captured audience attention.

The Holiday Box has evolved! Now you can 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 science channels here on YouTube! https://www.curiositybox.com SOURCES AND EXTRAS: my twitter: http://www.twitter.com/tweetsauce my instagram: http://www.instagram.com/electricpants Gabriel’s horn: https://en.wikipedia.org/wiki/Gabriel%27s_Horn http://blog.plover.com/math/gabriels-horn.html Gabriel’s wedding cake: https://oumathclub.wordpress.com/2015/01/25/gabriels-wedding-cake/ PDF: http://people.emich.edu/aross15/math121/misc/gabriels-horn-ma044.pdf Supersolid PDF: http://people.emich.edu/aross15/math121/misc/love-1989-supersolids.pdf Zeno’s supertask paradoxes: https://en.wikipedia.org/wiki/Zeno%27s_paradoxes https://math.dartmouth.edu/~matc/Readers/HowManyAngels/SpaceTimeMotion/STM.html https://www.youtube.com/watch?v=u7Z9UnWOJNY Staccato Zeno runner with no velocity/acceleration discontinuities: https://goo.gl/2mYdcT General supertask reads: http://personal.lse.ac.uk/robert49/ebooks/PhilSciAdventures/lecture25.html http://plato.stanford.edu/entries/spacetime-supertasks/ http://mathpages.com/rr/s3-07/3-07.htm https://math.dartmouth.edu/~matc/Readers/HowManyAngels/SpaceTimeMotion/STM.html https://en.wikipedia.org/wiki/Supertask http://www.vordenker.de/gunther_web/achill1.htm Big book of collected supertask writing: https://books.google.co.uk/books?id=0AzP9WLLJLcC&dq=order+type+of+the+integers&source=gbs_navlinks_s PDF’s about supertasks: http://pitt.edu/~jearman/EarmanNorton1996a.pdf http://www.interciencia.es/infinity/thomsonlamp.pdf http://arxiv.org/pdf/1309.0144.pdf http://www.pitt.edu/~jdnorton/papers/onjpl.pdf http://personal.lse.ac.uk/ROBERT49/teaching/ph103/2013-2014/pdf/EarmanNorton_CommentsOnLauraudogoita.pdf http://arxiv.org/pdf/1503.05847v1.pdf http://www.phys.nthu.edu.tw/~pep/download/Drawer/187.pdf http://arxiv.org/pdf/math/0212047.pdf Plank scale: https://en.wikipedia.org/wiki/Planck_scale http://astronomy.swin.edu.au/cosmos/P/Planck+Units https://www.reddit.com/r/explainlikeimfive/comments/1oetkk/eli5_why_is_a_planck_length_the_smallest_possible/ Hyper computation and supertasks: http://georgschauer.com/2013/04/03/overcoming-constraints-on-reliability-in-nomologically-accessible-m-h-relativistic-hypercomputers/ http://www.hypercomputation.net/download/1996a_hogarth.pdf Thomson’s Lamp: https://en.wikipedia.org/wiki/Thomson%27s_lamp http://alexanderpruss.blogspot.ro/2009/05/thomson-lamp.html Benacerraf on supertasks: [PDF] http://joelvelasco.net/teaching/hum9/benacerraf62-supertasks.pdf Ordinal numbers (omega and omega+1): https://en.wikipedia.org/wiki/Ordinal_number http://www.sjsu.edu/faculty/watkins/ordinals.htm http://math.wikia.com/wiki/Ordinal_number Ross-Littlewood paradox: https://en.wikipedia.org/wiki/Ross%E2%80%93Littlewood_paradox https://angryfaic.wordpress.com/2011/02/25/four-paradoxes-involving-infinity/ New York Times Neanderthal genome article: http://www.newyorker.com/magazine/2011/08/15/sleeping-with-the-enemy Neanderthals: https://en.wikipedia.org/wiki/Neanderthal http://ngm.nationalgeographic.com/2013/01/125-restless-genes/dobbs-text https://rogerdhansen.wordpress.com/2011/08/21/the-wandering-gene/ and boats: https://www.newscientist.com/article/mg21328544.800-neanderthals-were-ancient-mariners/ Another fun infinity paradox: http://lesswrong.com/lw/isp/on_the_importance_of_taking_limits_infinite/ SMBC Zeno comic: http://www.smbc-comics.com/?id=2759 MATH! https://www.youtube.com/user/standupmaths https://www.youtube.com/user/numberphile https://www.youtube.com/user/singingbanana https://www.youtube.com/user/Vihart music from: http://www.youtube.com/JakeChudnow and http://www.audionetwork.com

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