So in grade 7 math we learned that you can’t take the square root of negative numbers because any number squared is always going to be positive. A few years later we learn that you can actually calculate with the square root of negative numbers. You replace the square root from -1 with i. So why aren’t we replacing something divided by zero also with a letter?
In: Mathematics
Because imaginary numbers actually work a certain way and have certain properties this doesn’t allow.
To better think you can show it with algebra. A÷0=C, then implies by multiplication that A=C×0. But if A doesn’t equal 0 then the universe explodes
Unfortunately dividing by 0 doesn’t give us imaginary numbers because imaginary was basically saying we know what the answer should be but we can’t get the right sign ( positive or negative). Dividing by 0 causes two numbers that aren’t equal to be declared equal. It’s also the reason we have calculus
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