Division by 0 is impossible by the simple fact that 0 times anything is 0, this itself being a result of the field axioms of the real numbers. What am I talking about? Let me explain. Any sort of mathematical structure where one can do addition and multiplication, and for which these operations satisfy the usual ones of the real numbers, is called a field. Everyone has familiarity with one field: the real numbers. You can add reals (in any order), subtract (more on this in a bit), multiply (and the distributive law holds), and divide (so long as the element you are dividing by is not 0, as...
More..Jess Boling
Member since: January 2009
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