[jsmcgd]

I think that this proves that dividing by zero produces the set of all numbers, which is what it looks like to me when you graph this problem (y=1/x) using increasingly small positive and negative values for x. Smaller positive x values tend to positive infinity, smaller negative x values tend to negative infinity. When the x value reaches zero you have a vertical line from positive to negative infinity. ie dividing by zero corresponds to all numbers. That's how it appears to me. So 0/0=2 and it equals 3 etc. I admit this doesn't seem that useful.