Hosted by Gabriel Hesch and Autumn Phaneuf, who have advanced degrees in EE and industrial engineering/operations research respectively, come together to discuss mathematics as a pure field al in its own as well as how it describes the language of science, engineering, and even creativity. Breaking Math brings you the absolute best in interdisciplinary science discussions - bringing together experts in varying fields including artificial intelligence, neuroscience, evolutionary biology, physics, chemistry and materials-science, and more - to discuss where humanity is headed. website: breakingmath.io linktree: linktree.com/breakingmathmedia email: breakingmathpodcast@gmail.com
http://www.breakingmath.io
55: Order in the Court (Transfinite Ordinal Numbers)
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!
Patreon
Become a monthly supporter at patreon.com/breakingmath
Merchandise Purchase a Math Poster on Tensor Calculus at our facebook store at facebook.com/breakingmathpodcast
This episode is released under a Creative Commons attribution sharealike 4.0 international license. For more information, go to CreativeCommoms.org
This 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/app
Support this podcast: https://anchor.fm/breakingmathpodcast/support
This show is part of the Spreaker Prime Network, if you are interested in advertising on this podcast, contact us at https://www.spreaker.com/show/5545277/advertisement