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If dividing by zero is undefined and causes so much trouble, why not define the result as a constant and build the theory around it? (Like 'i' was defined to be the sqrt of -1 and the complex numbers)

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If dividing by zero is undefined and causes so much trouble, why not define the result as a constant and build the theory around it? (Like 'i' was defined to be the sqrt of -1 and the complex numbers)	15823