Supertasks

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Shared December 7, 2015

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...
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...
https://www.youtube.com/watch?v=u7Z9U...

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...
https://www.reddit.com/r/explainlikei...

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!

https://www.youtube.com/user/standupm...
https://www.youtube.com/user/numberphile
https://www.youtube.com/user/singingb...
https://www.youtube.com/user/Vihart

music from:

http://www.youtube.com/JakeChudnow
and
http://www.audionetwork.com