> If I remember my math, division by zero is properly said to be > indeterminate, and not infinity. Infinity is not a number, but a concept > -- if that does make sense.
It doesn't make sense because it is a garbled version of a more precise statement that does make sense.
To say that something "is not a number" has no precise meaning. To give it a precise meaning, you have to say which kind of number you are talking about. Mathematicians use various systems of numbers, and some of these systems include infinite numbers.