Actually, you CAN divide by zero.

Yes, it's possible! You've probably heard that you "can't" divide by zero, but why not? As it turns out, adding in the inverse of a number is a well-defined process in math, similar to how you can add in the solution to x^2 = -1. The result is a new number system. In this video, we find out what happens when you apply this process to add division by zero. The result is a pleasant mix of surprising and completely expected. Notes: 1. Normal rules of algebra means a ring. 2. Topology is important too, but algebra alone is enough for 1/0. 3. Cup would be more correct symbol for union than plus, but this is YouTube :). 4. We did not need to start with the reals, adding 1/0 in any ring results in the zero ring. ― mCoding with James Murphy (https://mcoding.io) Normal algebra rules: https://en.wikipedia.org/wiki/Ring_(m... Localization: https://en.wikipedia.org/wiki/Localiz...) Dyadic rationals: https://en.wikipedia.org/wiki/Dyadic_... Made with Manim: https://www.manim.community/ SUPPORT ME ⭐ --------------------------------------------------- Sign up on Patreon to get your donor role and early access to videos!   / mcoding   Feeling generous but don't have a Patreon? Donate via PayPal! (No sign up needed.) https://www.paypal.com/donate/?hosted... Want to donate crypto? Check out the rest of my supported donations on my website! https://mcoding.io/donate Top patrons and donors: Jameson, Laura M, Dragos C, Vahnekie, Neel R, Matt R, Johan A, Casey G, Mark M, Mutual Information, Pi BE ACTIVE IN MY COMMUNITY 😄 --------------------------------------------------- Discord:   / discord   Github: https://github.com/mCodingLLC/ Reddit:   / mcoding   Facebook:   / james.mcoding   CHAPTERS --------------------------------------------------- 0:00 Intro 1:00 Localization 2:00 Zero inverse