Couldn’t the result of division by zero be “defined”, just like the square root of -1?
Edit: Wow, thanks for all the great answers! This thread was really interesting and I learned a lot from you all. While there were many excellent answers, the ones that mentioned Riemann Sphere were exactly what I was looking for:
https://en.wikipedia.org/wiki/Riemann\_sphere
TIL: There are many excellent mathematicians on Reddit!
In: 1691
ELI5: think about your question.
What’s 5/5? Five things divided into 5 groups. How many items per group? That’s 1.
What’s 5/1? Five things divided into 1 group. How many items in that group? That’s 5.
What’s 5/0? Five things divided into 0 groups. Or, five things that aren’t counted in a group at all. It’s not zero, the group isn’t a thing.
It’s not that we need to invent a thing, your question is designed to be unanswerable because of how it’s constructed.
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