Correct it does not. Logic is merely one way to get there. The part I find interesting is that, whatever the road to faith people are on they will get right up the final step and say "this is far enough, all we need is for everyone to get where I am and no further." The reason it is silly is precisely because people are different. They aren't going to get where you are. They are going to find their own comfortable place to stop. We only get to the same place if we all get to God.