Featuring Joe Buhler. See part 2 of this interview: https://www.youtube.com/watch?v=4YG4QnhVV7A More links & stuff in full description below ↓↓↓ An Introduction to Infinite Hat Problems (paper): https://bit.ly/31OeWZK See also Spheres and Code Words with James Grime: https://www.youtube.com/watch?v=T46FTuHnbvY Numberphile is supported by the Mathematical Sciences Research Institute (MSRI): http://bit.ly/MSRINumberphile We are also supported by Science Sandbox, a Simons Foundation initiative dedicated to engaging everyone with the process of science. https://www.simonsfoundation.org/outreach/science-sandbox/ And support from Math For America - https://www.mathforamerica.org/ NUMBERPHILE Website: http://www.numberphile.com/ Numberphile on Facebook: http://www.facebook.com/numberphile Numberphile tweets: https://twitter.com/numberphile Subscribe: http://bit.ly/Numberphile_Sub Videos by Brady Haran Patreon: http://www.patreon.com/numberphile Numberphile T-Shirts and Merch: null Brady's videos subreddit: http://www.reddit.com/r/BradyHaran/ Brady's latest videos across all channels: http://www.bradyharanblog.com/ Sign up for (occasional) emails: http://eepurl.com/YdjL9 Thanks to our Patrons, including: Ben Delo - Arjun Chakroborty - Jeff Straathof - Andy B - Yana Chernobilsky - Ken Baron - Jesús Saucedo Pérez - John Zelinka - Ubiquity Ventures - swiatek7 . - Garrett Smith - Ron Hochsprung - Jeremy Buchanan - Nat Tyce - Matthew Schuster - Mitch Harding - RAD Donato - Andrei M Burke - Ben White - Adam Savage - Christian Martel - Steve Crutchfield - James Bissonette - Jubal John - Susan Silver - Mirik Gogri - That Asymptote - Alex Khein - Kermit Norlund - Bodhisattva Debnath - Igor Sokolov - Jerome Froelich - Bernd Sing - Charles Southerland - Alfred Wallace - Valentin - Arnas - Tracy Parry - Ian George Walker