eli5: Why haven’t mathematicians invented a symbol for x/0 like they have pi and imaginary numbers?
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Pi and imaginary numbers have a mathematical value, and coresponding symbols and variables to represent those values. X/0 does not have a value to define. It cannot be anything other than undefined.
X/0 being undefined is different from i being imaginary. because the square root of a negative number is not undefined, its just impossible to represent with real numbers. So we defined a symbol to represent this non-real number. i very much is defined.
X/0 has more to do with philosophy than mathematics. We can describe why x/0 is undefined with mathematics, but beyond that it cannot have useful implication. You could say that x/0 is a symbol to represent an undefined value.
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