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Supertasks
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Supertasks
  • Published_at:2015-12-08
  • Category:Science & Technology
  • Channel:Vsauce
  • tags: vsauce michael stevens math maths infinity transfinite paradox education learning space time spacetime neanderthal homo sapien humans curiosity wonder super solid thomson's lamp mathematics teaching vi hart logic infinite series planck philosophy human evolution evolution migration species logical zeno Supertask
  • description: The Vsauce Holiday Box is here! It's full of exclusive Vsauce merch, cool science toys, and ALL Vsauce proceeds are donated to Alzheimer’s research!! ORDER HERE: http://geekfuel.com/Vsauce 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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