Yet creativity is far wider than that. You have almost certainly solved problems creatively for one reason or another, even if it was once making up an excuse for being home late or not having done your homework. I have written before of an individual who once told me how sad he was that he was not creative, when in fact I knew that he was capable of inventing the most fantastic schemes and stories to further his own purposes. Sometimes creativity just needs to be channeled into useful areas. That is where some people fear creativity - they fear that it will be unduly disruptive, and sometimes it is.
Creativity demands something new.
This can be threatening to the old. Creativity steps over the lines of what has been done before, and therefore steps into the territory of the unknown. The unknown can be fearsome. Yet, if you do not become friends with the unknown, you will never discover new horizons. Perhaps believing the impossible is a bit much.