If you go to the 1:05 Mass at the Cathedral, there is Exposition of the Blessed Sacrament afterwards. To the rationalist, this is absurd. What is being worshipped is a piece of bread – no more, no less. But the believing Catholic believes it is something utterly different – the body and blood of Christ and the presence of God.
As I stood there, I still could not make the mental leap into utter certainty, but I know that a wonderful numinous sense of being in a presence was there. Could this emotional feeling of itself be proof? Of course not, but it was real, it was there and it was enough.