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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As a computer engineer that became an educator, one of the things you need to realize is that math is just a language, but it’s the most precise way of saying things. It’s a way of saying most precisely exactly one thing. No matter how many words you use, it doesn’t make sense to take nothing, and divide it into smaller pieces of nothing and no amount of nothing becomes something. That’s what nothing is.
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