56: More Sheep than You Can Count (Transfinite Cardinal Numbers)

Look at all you phonies out there. You poseurs. All of you sheep. Counting 'til infinity. Counting sheep. *pff* What if I told you there were more there? Like, ... more than you can count? But what would a sheeple like you know about more than infinity that you can count? heh. *pff* So, like, what does it mean to count til infinity? What does it mean to count more? And, like, where do dimensions fall in all of this? Ways to support the show: Patreon-Become a monthly supporter at patreon.com/breakingmath (Correction: at 12:00, the paradox is actually due to Galileo Galilei) Distributed under a Creative Commons Attribution-ShareAlike 4.0 International License. For more information, visit CreativeCommons.org Music used in the The Great Courses ad was Portal by Evan Shaeffer [Featuring: Sofía Baca, Gabriel Hesch]

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Hosted by Gabriel Hesch and Autumn Phaneuf, who have advanced degrees in electrical engineering and industrial engineering/operations research respectively, come together to discuss mathematics as a pure field all 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