Ancient Greek philosophers and theologians debated the concept of zero and the meaning of nothingness. To them, zero may have been undefined.
Contemporary mathematicians do not enter into such debates in their roles as mathematicians (which is not to say that some of them may not have night jobs as philisophers or theologians). To mathematicians, zero is very well defined and an important element of mathematics.
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a value of zero in the denominator makes the fraction undefined
Undefined: You cannot divide by zero
Undefined: You cannot divide by zero
zero is horizontal, undefined is vertical
Undefined: You cannot divide by zero