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Stochastic Supertasks | Infinite Series

2017-08-10

[public] 94.2K views, 3.31K likes, 194 dislikes audio only

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Supertasks allow you to accomplish an infinite number of tasks in a finite amount of time. Find out how these paradoxical feats get even stranger once randomness is introduced.

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Previous Episode

The Honeybcomcs of 4-Dimensional Bees

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Vsauce - Supertasks

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Written and Hosted by Kelsey Houston-Edwards

Produced by Rusty Ward

Graphics by Ray Lux

Assistant Editing and Sound Design by Mike Petrow

Made by Kornhaber Brown (www.kornhaberbrown.com)

Resources:

http://julio.staff.ipb.ac.id/files/2015/02/Ross_8th_ed_English.pdf -- Pg 46

Special Thanks to John Pike

What happens when you try to empty an urn full of infinite balls? It turns out that whether the vase is empty or full at the end of an infinite amount of time depends on what order you try to empty it in. Check out what happens when randomness and the Ross-Littlewood Paradox collide.

Comments answered by Kelsey:

Lowtech

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Daniel Shapiro

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Professor Politics

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Alex 24757

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PBS Infinite Series Mathematician Tai-Danae Bradley and physicist Gabe Perez-Giz offer ambitious content for viewers that are eager to attain a greater understanding of the world around them. Math is pervasive - a robust yet precise language - and with each episode you’ll begin to see the math that underpins everything in this puzzling, yet fascinating, universe. Previous host Kelsey Houston-Edwards is currently working on her Ph.D. in mathematics at Cornell University.
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