Cote, you are wrong there, I'm afraid. The establishment of hospitals was everything to do with Christianity, and the medieval period was distinguished by the spread of hospitals, schools and charities, all of them run by, um, Christians.
Your thoughts about Bach are very interesting. But that is not a scientific answer to the question, not least because mathematics is not the same as science.
To follow up on Peach's post at 10.47 about experience trumping argument, I think that is essentially true as far as having faith goes. I believe because of my experience of God, not because I was convinced by argument. (Although it would be impossible for me to believe in something I couldn't also give reasoned assent to.) It seems to me that experience does pose a problem in these kinds of discussions, because it is impossible to gainsay.
I have direct experience of God, experience that I cannot find a more satisfactory explanation for. You might contend that this is hallucination, or disturbance of the brain, or optical illusion, or wishful thinking. But you cannot know that, because you cannot share my experience. You can interpret my description of it, but you cannot say that it is not what I believe it to have been.
If I say that I have experience of God, there are four possibilities: I am mistaken, or I am mad, or I am lying, or I am telling the truth. You may think the last cannot possibly be the case, but it is just as likely as the others, and you cannot say for certain that it is not the case.
And what are we to say about all the accounts people have left us of their encounters with God? How could we say for certain that they are not telling the truth?
(Btw, Snorbs, I apologise for calling you Snorts - it was the damn autocorrect)