Wikipedia agrees with me. Division by zero is undefined in the
real number space, not all of mathematics. The fact that Mathematica, a (the most?) well respected math program, returns ComplexInfinity for division by zero operations, is further evidence that the math community is behind this concept.
I can understand why it would be misleading, but "complex infinity" is the name given to a value which specifically exists only in the extended complex numbers. This is not synonymous with "infinity". Mathematica performed your calculation on the extended complex numbers because it's the only way your input would make sense, as it is one of the rare situations where it is possible to define division by zero.
But the point is, mIRC only performs real number arithmetic, so none of this is really relevant.
