Ant On A Rubber Rope Paradox
166,483An ant is placed on one end of a rubber rope and he begins walking at about 5cm per second. As he’s walking, the rope gets stretched… and stretched… at a rate of 10cm per second. The rope is getting stretched faster and longer relative to the ant’s consistent walking pace.
Can the ant ever get to the end of the rope? Is he caught in an endless, impossible trek in which the end keeps getting further and further away?
This classic paradox has very real implications to how we understand our position in a rapidly-expanding universe.
*********** LINKS *************
The Create Unknown Podcast: https://bit.ly/2TKVDdc
What Is A Paradox?: https://youtu.be/kJzSzGbfc0k
Ant On A Rubber Rope Discussion:
https://bit.ly/2DYQ7it
Harmonic Series Proof on Khan Academy
https://www.khanacademy.org/math/ap-calculus-bc/bc-series-new/bc-10-6/v/harmonic-series-divergent
Harmonic Series Proofs
http://scipp.ucsc.edu/~haber/archives/physics116A10/harmapa.pdf
Harmonic Series Proof
https://web.williams.edu/Mathematics/lg5/harmonic.pdf
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Written by Matthew Tabor, Michael Stevens and Kevin Lieber
Huge Thanks To Paula Lieber
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Hosted, Produced, And Edited by Kevin Lieber
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Website: http://kevinlieber.com
Research And Writing by Matthew Tabor
https://twitter.com/matthewktabor
Special Thanks Michael Stevens
https://www.youtube.com/user/Vsauce
VFX By Eric Langlay
https://www.youtube.com/c/ericlanglay
Select Music By Jake Chudnow: http://www.youtube.com/user/JakeChudnow
MY PODCAST -- THE CREATE UNKNOWN
https://www.youtube.com/thecreateunknown
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