We don't really fit well into any of the common, established categories, you know. And it bothers me.
Part of what we do is definitely craft -- we make tools out of primitive components; we hone and refine until we have reliable instruments which fit nicely into the minds of the users. We're particularly good at it when we also use the tools, and can un-selfconsciously improve them to suit us better. So we're craftsmen (and craftschicks).
And we also engineer systems -- we compare large components, their interactions, and their suitability for long-term use. We analyze how they (virtual machines, compilers, operating systems, compilers, utilities, applications, protocols, algorithms) will be used, and how they will withstand the pressures on them. We balance the various pressures of simplicity, useability, flexibility, performance, cost, reliability. We apply scientific methods to objectively discern which of the best known techniques should be applied; and we consider failures and weaknesses of our systems to optimize our future designs. We're all engineers, at heart.
But we also do science -- we reason about our methods for encapsulating information and procedures; we seek to discover how to cause our Computing Machinery to do things which machines have never done. We discover better ways of thinking about automated information processing, and we test our theories by making software machinery which exploits our ideas. (For example, programming languages are fun because with each new language, we can experiment with new ways of modeling information and procedural structures). Some of us even do scientific, empirical studies of systems and algorithms to compare algorithms and protocols. So, while we're not doing it in the quite the same way that Chemists and Physicists do it, we discover knowledge just like any Scientist.
Yet many of us still strive for elegance, and for completeness. We seek theories which model our current machines(/algorithms), and which model machines which could be. We prove properties of these machines -- especially what the machines cannot do. To a large extent, we don't really care how useful a model is -- because it can be beautiful and fascinating devoid of application. The acorn doesn't fall far from the tree, and the Computer Scientist is not far from the Mathematician.
I wonder how I'd look with a long beard, a labcoat, toolbelt, and a pocket protector.