Inspiration in science and religion

All sorts of things may be described as 'inspired': a mathematical theorem, a work of art, a goal at football, a short-cut home from the shops. What lies behind all these? Where does 'inspiration' come from? Does it derive from a source external to the person inspired, or is it the end result of sheer hard work - or is it purely serendipitous? Within the fields of science and religion, the word 'inspiration' might be thought to carry very different connotations. But is there a degree of over