Perhaps, but not necessarily. Sadly I've found most people have reasonable innate intelligence but were never taught logic. They were never given the subtle tools need to even figure out basic problems on a logical basis, instead relying on intuition and some basic pattern recognition. Dealing with vast logical abstractions, even if put in layman's terms, simply overwhelms them.

You first have to teach them analysis, how to break things down and recombine them. A good example here is teaching beginning computer science students how to divide a large, complicated task into a long list of small tasks. Or teaching derivations in basic physics. It's something that's not really formally taught outside of the sciences, and that's a shame.