Often, people confuse swirling ideas seeking form in their head for creativity.
"Creative" doesn't just apply to visual arts - it's a thinking style. And every human, ever, is creative - just in different avenues. And those avenues are all obtainable by all people.
I would also like point out that early computers were also known as analytic engines.
I know a ton of wonderfully creative minds, full of great ideas, that have never accomplished anything. They never finish, either due to frustration with the schlep, or by starting something new before they ever finish what they were working on. Those people are NOT good creative partners, generally. They'll flake out when the going gets tough - and if what you're doing is interesting enough to be worthwhile, it WILL get tough at some point.