An Alternative Proof That The Real Numbers Are Uncountable

5,393
by Super User, 5 years ago
0 0
*My Last Video*
My Infinity is Bigger Than Your Infinity
https://youtu.be/X56zst79Xjg

If you want to know more, check out these links and sources:

The Annotated Turing - Charles Petzold
https://universalflowuniversity.com/Books/New%20Uploads%20-%20Unsorted/The%20Annotated%20Turing%20-%20Charles%20Petzold.pdf

https://www.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)
http://cogito.lagado.org/sites/default/files/Cantor%20-%201883%20-%20Grundlagen.pdf

Introducing Infinity, A Graphic Guide - Brian Clegg
https://www.amazon.com/Introducing-Infinity-Graphic-Guide-ebook/dp/B00OZHQETA

https://www.britannica.com/science/transfinite-number


*Wiki-links*

Real Analysis
https://en.wikipedia.org/wiki/Cantor_set

Transfinite numbers
https://en.wikipedia.org/wiki/Aleph_number#Aleph-null

Cardinal Numbers
https://en.wikipedia.org/wiki/Cardinal_number

Set theory
https://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* https://www.youtube.com/c/upandatom

*Follow me* @upndatom

Up and Atom on instagram: https://www.instagram.com/upndatom/

Up and Atom on Twitter: https://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 :)
https://www.patreon.com/upandatom

For a one time donation, head over to my PayPal :) https://www.paypal.me/upandatom