We often split up the intellect and creation, as if these were two different sets of skills. We talk of "left-brained" and "right-brained" people. Which is utter nonsense - reason and creativity are two sides of the same coin, and either without the other is nothing.
Let's take mathematics. Now, most people think of having to memorize theorems and solve mysterious equations, and equate that with math. That is generally poor math education, and at best math calisthenics which don't capture the real heart of the subject. Euclid had his five postulates because he was trying to figure out what he could do with something that makes straight lines and something that makes circles. Math is about looking at these starting points, and then either enjoying the intellectual exploration of what unforeseen results might come out of such a humble beginning, or questioning why we should start with at that particular spot. What if we change this one postulate? Turns out there are other geometries available to us once we change the rules. What if we love origami and want to see what we can do with paper folds? Then we can start working on a new set of rules to fit that pattern. Or maybe we just fall for the beauty of some set of infinitely interlocking patterns and forms. In any case, even in this most rigid and logical of subjects, creativity and a sense of exploration are essential.
On the other hand, art needs structure. The point of crafting an artwork is that it be worked out in all its detail - whether that's making sure that characters and plots are consistent and true to the story, placing every note and chord so that they make a song sing, letting every move in a dance flow with the music and the energy between the partners, or chipping away every point on a sculpture that doesn't fit the image. There is a lot of room to decide what exactly makes a given artwork harmonious and unified; in some cases, this might be by discordance and chaos, but this for the sake of the greater work and not because of laziness. And that is not to say that there is no room for improvisation; improv is like adding in another mathematical postulate or scientific hypothesis and seeing what develops. Just as the scientist or philosopher is working out the details of an idea or a worldview and aligning pieces so that they are unified and consistent, the artist is putting that idea into matter in such a way that it holds together.
An artist that ignores reason is a sloppy artist, unable to embody anything in a quality work. But an intellectual that is a mere machine entirely misses the spirit behind the discovery of relativity, of DNA's double helix, or Goedel's incompleteness theorems. Both the discipline of reason, seeking to bring unity and boundaries to an idea, and the exploration of creativity, striving to discover both new depths within and new breadths without the idea, are necessary.
