This is a subject which is very close to me, as an artist who focuses largely on technological concepts. At present, my entire practice hinges upon the assertion that the either/or premise in this case is a totally artificial and unnecessary restriction. It's a trick question. Throughout history, artists have always integrated new technology into their craft. During the Industrial Revolution, new vibrant artificial pigments were developed which allowed painters to create work that had previously been inconceivable. From the standpoint of a painter such as myself, why should computers be any different? The truth is, there are already many artists, myself included, who integrate digital technology into traditional practices to create work that is a balance of both. And the opposite is true as well-- I'm sure many artists who work primarily with digital media, in companies like Pixar and DreamWorks, are equally proficient with a pencil and sketchpad. Most of my digital drawings start out that way, and I only scan them in and use Photoshop to color and shade.
My feeling on the matter is, to really be a successful 21st Century artist, one should be versed in both modes of production. All of those things that have been said here, about both having their own distinct strengths and weaknesses-- that's true. So logically, if you combine them, you're creating something where one mode's strengths cover the other's weaknesses.
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Mediocrity is a petty vice; aspiring to it is a grievous sin.