Err... no. Due to the chaotic nature of the universe, every conclusion would be different, or at least they would tend to that. Logic is, IMO, taking EVERYTHING into account. And since everything changes always, the conclusions would be different.

Chaos theory. Just imagine what that butterfly in China is doing to your mind right now.

Oh, and on that division by zero thing. It IS valid. We just don't know the solution. Perhaps when we meet aliens or on our own construct beings thinking very differently from us, maybe we'll be able to solve that.