Creativity is something that is inborn and can never be taught. True or false? Why?

I think that creativity is something inborn and cannot be taught just like music and other abilities. The newspapers and television has shown alot of articles just like a 4 year old can already play dozens of classical songs on the piano etc. Creativity can also be like that. There are some people that is poor in art and tries to learn it but couldn't master it. So my conclusion is that creativity and something that is inborn and cannot be taught.