I was somehow thinking of division by zero in the shower or something the other day, and got something that convinced me about it's undefined-ness. If we take

I was somehow thinking of division by zero in the shower or something the other day, and got something that convinced me about it's undefined-ness. If we take the equation `x = a/0` and solve for a we get: ``` x = a/0 |*0 a = 0x a = 0 ``` Since `a` could be any number, the statement is false unless `a` is defined as zero or there exists some number `x` which when multiplied by zero does not yield zero. In this case though, even if `a = 0`, we can't really determine `x` because `0/0` is not something commonly defined in mathematics. I don't know what the point is of having no apples and no baskets to divide them in to.