Welcome to the real world, where things don't works in binary, and it's not because two things aren't both 100 % certain that they are both equivalent !
Let me propose you a game ! I'll throw one hundred regular dices in a big closed box. Once closed, we won't ever be able to open it and be absolutely sure of which face the dices show.
Then we'll shake it, and then I'll tell you that they don't all show 6, and you'll tell me that yes, they do all show 6. Guess who's going to be "more correct" than the other, despite both events being possible ?
I don't think that really applies - we can do tests of the sort you said, and find that 1/10^-5000 times, it will be all sixes. Or do a mathematical model to come up with a statistic of... 6^-100?... Anyway, we can test this with mathematics; can we test religion, meaning of life, and philosophy with math? Not really - like you said, nothing is concrete - except perhaps math.
A better analogy would be looking at a picture of a pole with no indication of it's distance from the camera and without any things to compare it to, and saying how tall it is. It could be anywhere from a milometer to 100km. No Sabemos. The same goes for fuzzy issues of morals, ideals, religion, and meaning - there's no way of knowing whether you're right or not.