This is then my ignorance showing, in that I made a classic blunder of accepting the premise of division by zero in a test case. What I should have said is tha

This is then my ignorance showing, in that I made a classic blunder of accepting the premise of division by zero in a test case. What I should have said is that if you intentionally craft the circumstances of an equation such that you are dividing by zero, it is your premise that is nonsense, NOT the equation itself.