eli5: Why haven’t mathematicians invented a symbol for x/0 like they have pi and imaginary numbers?
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Pi is simply a number, 22/7, when written in decimal simply never ends. And is used so often in so many fields that a shorthand reference to it is useful. Quite a few other constants/numbers have shorthand notations.
Imaginary numbers are a bit more complex. There was a lot of debate on whether or not they were meaningful, but we’ve found quite a few actual systems that seem to operate by them. You can’t accurately describe an electromagnetic field without imaginary numbers and some quantum/dynamic systems are most accurately described with “i”. You could write (The square of -1) in its place but its used often enough a shorthand is useful.
There is no meaning to x/0, how many of x would fit into no containers isn’t a reasonable question. Nor has any analogues been found for it in the world. It always generates a failed equation when used, so there isn’t any use for it in math or science. So it doesn’t need a shorthand.
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