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_...
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CHAPTERS
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0:00 Intro
1:00 Localization
2:00 Zero inverse