Supertasks

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:   / tweetsauce   my instagram:   / electricpants   Gabriel’s horn: https://en.wikipedia.org/wiki/Gabriel... http://blog.plover.com/math/gabriels-... Gabriel’s wedding cake: https://oumathclub.wordpress.com/2015... PDF: http://people.emich.edu/aross15/math1... Supersolid PDF: http://people.emich.edu/aross15/math1... Zeno’s supertask paradoxes: https://en.wikipedia.org/wiki/Zeno%27... https://math.dartmouth.edu/~matc/Read...    • Zeno's Paradox - Numberphile   Staccato Zeno runner with no velocity/acceleration discontinuities: https://goo.gl/2mYdcT General supertask reads: http://personal.lse.ac.uk/robert49/eb... http://plato.stanford.edu/entries/spa... http://mathpages.com/rr/s3-07/3-07.htm https://math.dartmouth.edu/~matc/Read... https://en.wikipedia.org/wiki/Supertask http://www.vordenker.de/gunther_web/a... Big book of collected supertask writing: https://books.google.co.uk/books?id=0... PDF’s about supertasks: http://pitt.edu/~jearman/EarmanNorton... http://www.interciencia.es/infinity/t... http://arxiv.org/pdf/1309.0144.pdf http://www.pitt.edu/~jdnorton/papers/... http://personal.lse.ac.uk/ROBERT49/te... http://arxiv.org/pdf/1503.05847v1.pdf http://www.phys.nthu.edu.tw/~pep/down... http://arxiv.org/pdf/math/0212047.pdf Plank scale: https://en.wikipedia.org/wiki/Planck_... http://astronomy.swin.edu.au/cosmos/P...   / eli5_why_is_a_planck_length_the_smallest_p...   Hyper computation and supertasks: http://georgschauer.com/2013/04/03/ov... http://www.hypercomputation.net/downl... Thomson’s Lamp: https://en.wikipedia.org/wiki/Thomson... http://alexanderpruss.blogspot.ro/200... Benacerraf on supertasks: [PDF] http://joelvelasco.net/teaching/hum9/... Ordinal numbers (omega and omega+1): https://en.wikipedia.org/wiki/Ordinal... http://www.sjsu.edu/faculty/watkins/o... http://math.wikia.com/wiki/Ordinal_nu... Ross-Littlewood paradox: https://en.wikipedia.org/wiki/Ross%E2... https://angryfaic.wordpress.com/2011/... New York Times Neanderthal genome article: http://www.newyorker.com/magazine/201... Neanderthals: https://en.wikipedia.org/wiki/Neander... http://ngm.nationalgeographic.com/201... https://rogerdhansen.wordpress.com/20... and boats: https://www.newscientist.com/article/... Another fun infinity paradox: http://lesswrong.com/lw/isp/on_the_im... SMBC Zeno comic: http://www.smbc-comics.com/?id=2759 MATH!    / standupmaths      / numberphile      / singingbanana      / vihart   music from:    / jakechudnow   and http://www.audionetwork.com