Channel: Up and Atom

Category: Science & Technology

Tags: realsmathsset theorymath videotransfiniteproof that the real numbers are uncountablemath prooftheoremreal numberenumerablereal numbersmathematical proofinfinityproofmathtutorialnon enumerableuncountablecantornumber theory

Description: This video was co-written by my super smart hubby Simon Mackenzie. *My Last Video* My Infinity is Bigger Than Your Infinity youtu.be/X56zst79Xjg If you want to know more, check out these links and sources: The Annotated Turing - Charles Petzold universalflowuniversity.com/Books/New%20Uploads%20-%20Unsorted/The%20Annotated%20Turing%20-%20Charles%20Petzold.pdf amazon.com/Annotated-Turing-Through-Historic-Computability/dp/0470229055 FOUNDATIONS OF A GENERAL THEORY OF MANIFOLDS: A MATHEMATICO-PHILOSOPHICAL INVESTIGATION INTO THE THEORY OF THE INFINITE (CANTOR 1883d) cogito.lagado.org/sites/default/files/Cantor%20-%201883%20-%20Grundlagen.pdf Introducing Infinity, A Graphic Guide - Brian Clegg amazon.com/Introducing-Infinity-Graphic-Guide-ebook/dp/B00OZHQETA britannica.com/science/transfinite-number *Wiki-links* Real Analysis en.wikipedia.org/wiki/Cantor_set Transfinite numbers en.wikipedia.org/wiki/Aleph_number#Aleph-null Cardinal Numbers en.wikipedia.org/wiki/Cardinal_number Set theory en.wikipedia.org/wiki/Set_theory Hi! I'm Jade. Subscribe to Up and Atom for new physics, math and computer science videos every two weeks! *SUBSCRIBE TO UP AND ATOM* youtube.com/c/upandatom *Follow me* @upndatom Up and Atom on instagram: instagram.com/upndatom Up and Atom on Twitter: twitter.com/upndatom?lang=en A big thank you to my AMAZING PATRONS! Robert Guzman, Skully, Paul Kendra, Ofer Mustigman, Daeil Kim, Harsh Tank, Alan McNea, Daniel Tan-Holmes, Simon Mackenzie, Andrew Styles, Dag-Erling Smørgrav, Chris Flynn, Andrew Pann, Anne Tan, Joe Court, John Satchell, John Shioli, Adam Thornton, Ayan Doss, Marc Watkins, Sung-Ho Lee, Todd Loreman, Susan Jones, Jareth Arnold, Fernando Takeshi Sato, Armin Quast, Xiao Fan, Simon Barker, Shawn Patrick James Kirby, Simon Tobar, Drew Davis, Rob Harris, Dennis Haupt, David M., Ammaar Esmailjee, M.H. Beales, Doug Cowles, Stephen Veitch, Renato Pereira, Simon Dargaville, Noah McCann and Magesh. If you'd like to consider supporting Up and Atom, head over to my Patreon page :) patreon.com/upandatom For a one time donation, head over to my PayPal :) paypal.me/upandatom