Channel: PBS Infinite Series

Category: Education

Tags: infinite seriespbseducationeuler's numberrational numbermathematicsinfinitenumberseulernumberpiinfinitymathuncountablerationalirrationalcountable

Description: Viewers like you help make PBS (Thank you 😃) . Support your local PBS Member Station here: to.pbs.org/donateinfi Can you produce a rational number by exchanging infinitely many digits of pi and e? Tweet at us! @pbsinfinite Facebook: facebook.com/pbsinfinite series Email us! pbsinfiniteseries [at] gmail [dot] com Hierarchy of Infinities youtube.com/watch?v=i7c2qz7sO0I Previous Episode - Solving the Wolverine Problem using Graph Coloring! youtube.com/watch?v=59aljcwo7aw Links to other resources: Original Post from Math Overflow mathoverflow.net/questions/265310/if-i-exchange-infinitely-many-digits-of-pi-and-e-are-the-two-resulting-num Square Root of 2 is Irrational mathsisfun.com/numbers/square-root-2-irrational.html Written and Hosted by Kelsey Houston-Edwards Produced by Rusty Ward Graphics by Ray Lux Made by Kornhaber Brown (kornhaberbrown.com) Thanks to Joel David Hampkins and Erin Carmody for helpful comments. Comments answered by Kelsey: Circuitrinos youtube.com/watch?v=59aljcwo7aw&lc=z13mevgrmlzqh1xzc04chnc4vvegxfhj4x00k ​Brian Willett​ youtube.com/watch?v=59aljcwo7aw&lc=z123tzuj5oiqudan522hdfdxfl2xttl01