As a child, did you ever have a conversation that went as follows:"When I grow up, I want to have a million cats""Well I'm gonna have a billion billion cats""Oh yeah? I'm gonna have infinity cats""Then I'm gonna have infinity plus one cats""That's nothing. I'm gonna have infinity infinity cats""I'm gonna have infinity infinity infinity infinity *gasp* infinity so many infinities that there are infinity infinities plus one cats"What if I told you that you were dabbling in the transfinite ordinal numbers? So what are ordinal numbers? What does "transfinite" mean? And what does it mean to have a number one larger than another infinite number?[Featuring: Sofía Baca; Diane Baca]Ways to support the show:-Visit our Sponsors:   theGreatCoursesPlus.com/breakingmath Get a free month of the Great Courses Plus while supporting this show by clicking the link and signing up! brilliant.org/breakingmath Sign up at brilliant.org, where breaking math listeners get a 20% off of a year's subscription of Brilliant Premium!PatreonBecome a monthly supporter at patreon.com/breakingmathMerchandise Purchase a Math Poster on Tensor Calculus at our facebook store at facebook.com/breakingmathpodcastThis episode is released under a Creative Commons attribution sharealike 4.0 international license. For more information, go to CreativeCommoms.orgThis episode features the song "Buffering" by "Quiet Music for Tiny Robots"--- This episode is sponsored by · Anchor: The easiest way to make a podcast. https://anchor.fm/appSupport this podcast: https://anchor.fm/breakingmathpodcast/support