Your definition of logic rests solely on empirical data. My definition of logic goes beyond our flawed human ability to describe the universe -- because it has to. There are many things that science cannot explain, and some things that science will likely never explain. Modern science had to adopt faith because technology has opened and shut too many doors for foot planting conclusions to occur more than rarely. This is due to the fact that some things defy what you or I would define as "logical". An exhausting argument in semantics is all we have without considering the supernatural. Our universe is not as black and white as your argument is trying to make it seem.

You're entitled to disagree with all the theology you want, but that doesn't make it false. That only makes it your opinion against their experience. Science can only describe. It cannot explain.