@HemeHaci:
I agree, disproving the existence of something that cannot be proved to exist is impossible.
Modern science can't explain everything we face, but that's only a matter of time before the non explainable phenomena will be revealed.
But there is another way of looking at it: Science never "explains" things. With Newton's laws of motion (which are a special case of quantum mechanics applied to low velocities) we know that f = m * a (in low velocities) and therefore we can predict where a cannonball will land when we launch it. BUT, we don't know "why" f = m * a, or whatever quantum dynamics formula spawned it, is correct. If some "formula" underlies those, we won't know what underlies that formula... and so on.
So according to this way of looking at the problem, science can merely evaluate what has happened before and based on that, can predict what is going to happen. But at the very core of those, it can't explain "why" that has to happen.
But, this is only a way of looking at it and there are hundreds of other ways. I'm not defending anything, I am just trying to bring the matter down to the core; the faith.
It all comes down a matter of faith in whether you believe "we must have a purpose, all those can't be in vain" or "there is no scientific reason to believe".
You might think "Science can explain everything, so there is no need for a God." or "Science can't really 'explain' the core of things, because in the core of things there is God - Allah - Odin etc."