How come there isn’t an imaginary system for dividing a number by 0, while there is one for taking the square root of a negative number?
In: Mathematics
Extending numbers into the complex world is useful – it allows us to solve cubic equations. It appears to be as natural and useful as extending numbers into the negatives or irrationals.
Extending numbers into worlds where division by zero is well-defined ends up leading to contradictions, and, while interesting, is less than useful.
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