Looking For Input from Programmers

This is a request for commentary from computer programmers. C programmers, Java programmers, web language programmers, hacks who cobble things together with shell scripts, what have you.

Here's the question: What kind of skill is programming?

The way I see it, there's two different types of skills: Ones that are creative, such as painting pictures, writing poetry, making music, and so on; and others that are purely based on logic and reason, such as engineering, scientific experimentation, and so on.

So, which kind of skill is computer programming?

Actually, the real question is: Can anyone with enough brains do programming, or is some weird creative bent required?

Programmers, I beg of you to leave any commentary on the matter. Thank you!