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

In Calculus 1/0 is infinity. Its how we do the integral. Say ne need to travel from 0 to 1 in steps.

If we divide it into 10 step, you have 1/0.1 as the step size.

10000 steps, steps are 1/0.0001

1 million steps, steps are 1/0.000001

1 billion steps, steps are 1/0.000000001

What about an infinite number of steps? If we follow the same pattern, to get infinite step, you need 1/0.

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