Why can’t dividing by 0 be done in a theoretical field?

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As a layperson who is interested in math, imaginary numbers always fascinated me. Like in the real world you taking the square of a negative makes no sense whatso ever, but in theoretical math you can just invent new imaginary numbers, make it so that *i*^2 = -1 and suddenly you have just revolutionized math. If this is useful, why can’t you break other rules and account for them with new imaginary symbols?

So let’s pretend that we call them made up numbers and use *m* to represent them. Why is *m*=1/0 impossible when something like *i*^2 = -1 is not?

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Anonymous 0 Comments

I 2 am Spartacus. I can be whoever I want 2b.

But you can’t remove what isn’t there. 0/1 is taking nothing out of something. That’s just pulling air out of an empty hat.

But can you remove the rabbit out of your hat without vaporizing it? The 1 you want to take out of 0 can’t happen.

You can remove nothing from something, but can’t remove something from nothing.

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