Sometimes it's important to believe that breakthroughs are possible. How else do you make one?
And it's important to see that they are common. Personal and societal breakthroughs happen all the time around us. To disbelieve in the possibility of a breakthrough is a little unfounded. I think we should assume that problems can be solved eventually, even if we have no idea how, currently.
To me, this is an improvement on the classic idea of faith.
