Actually, you CAN divide by zero.

From the creator

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_(mathematics)#Definition Localization: https://en.wikipedia.org/wiki/Localization_(commutative_algebra) Dyadic rationals: https://en.wikipedia.org/wiki/Dyadic_rational Made with Manim: https://www.manim.community/ SUPPORT ME ⭐ --------------------------------------------------- Sign up on Patreon to get your donor role and early access to videos! https://patreon.com/mCoding Feeling generous but don't have a Patreon? Donate via PayPal! (No sign up needed.) https://www.paypal.com/donate/?hosted_button_id=VJY5SLZ8BJHEE 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

Published 2023-11-03 · Watch on YouTube ↗
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