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: 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

BetaSeries' opinion

Discover the Insightful World of Vox: A Must-Watch Series

In an age where information overload is rampant, navigating through the noise can be a daunting task. Enter **Vox**, a captivating series that not only breaks down complex topics but also presents them in an accessible manner. With its unique approach to storytelling through video content, Vox serves as a beacon for those seeking clarity in today’s chaotic world. If you’re looking for a series that informs while it entertains, look no further than Vox.

The brilliance of Vox lies in its ability to distill complicated subjects into digestible segments. Each episode tackles pressing issues—from politics and science to culture and history—providing viewers with insights that are both enlightening and thought-provoking. The show’s hosts, including Ezra Klein and Melissa Bell, guide discussions with authority and charisma, ensuring that audiences remain engaged while learning about vital topics like climate change and healthcare policy.

For fans of educational programming similar to **Vsauce** or **Psych2Go**, Vox delivers a comparable experience with its focus on factual accuracy and compelling narratives. Much like these shows, Vox invites viewers into deep dives through creative visuals and relatable explanations that resonate even with those who may not have prior knowledge on the subject matter. This makes it ideal for anyone eager to expand their horizons without feeling overwhelmed.

Read the full article

Next episode

S01E320 - Math Magic