Featuring Tom Crawford. Learn more about Jane Street internships at https://www.janestreet.com/internships (sponsor)... More links & stuff in full description below ↓↓↓ Tom Crawford's website, with links to his work and other outreach: https://tomrocksmaths.com/ More Tom videos on Numberphile: http://bit.ly/Crawford_Videos Tom on the Numberphile Podcast: https://www.youtube.com/watch?v=_HwKGncsGo0 Gabriel's Horn Paradox: https://www.youtube.com/watch?v=yZOi9HH5ueU Infinity Paradoxes: https://www.youtube.com/watch?v=dDl7g_2x74Q Monty Hall Problem:    • Monty Hall Problem on Numberphile   Numberphile is supported by the Simons Laufer Mathematical Sciences Institute (formerly 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 The Akamai Foundation - dedicated to encouraging the next generation of technology innovators and equitable access to STEM education - https://www.akamai.com/company/corporate-responsibility/akamai-foundation 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 Video by Brady Haran and Pete McPartlan 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 Patrons including: Juan Benet Jeff Straathof Ben Delo Ken Baron Andy B Michael Dunworth Yana Chernobilsky James Bissonette Jubal John Steve Crutchfield Ben White Andrei M Burke RAD Donato Matthew Schuster Ron Hochsprung Ubiquity Ventures John Zelinka Gnare Heather Liu Tracy Parry Ian George Walker Arnas Bernd Sing Valentin Alfred Wallace Alex Khein Doug Hoffman John Loach