Infinity can throw up some interesting paradoxes, from filling Hilbert's Hotel to painting Gabriel's Trumpet... Mark Jago is a philosophy lecturer with a background in computer science. More links & stuff in full description below ↓↓↓ The money game is known as St. Petersburg Paradox - it is quite famous! Extra interview footage from this video: https://www.youtube.com/watch?v=488L3bV7ny4 Counting infinities: https://www.youtube.com/watch?v=elvOZm0d4H0 Dividing by zero: https://www.youtube.com/watch?v=BRRolKTlF6Q More on Mark Jago: http://bit.ly/MarkJago 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 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 Numberphile T-Shirts: null Other merchandise: https://store.dftba.com/collections/numberphile