At the outset of my remarks, I must apologize for appearing before you in this insubstantial form. We should expect that one important chapter in a theory of complexity, perhaps more than one chapter, will be devoted to describing the ways in which we may avoid complexity. Now the chief complexity in travel lies in the journey to and from the airport—threading your way through streets, highways, and airport ticket counters and passageways populated by other hu-man beings and their vehicles, each intent on his or her own mission; meanwhile managing to keep track of your baggage and other possessions. That complexity is best avoided by not traveling. Many years ago, when trains were the chief vehicle of inter-city travel, I had a fantasy of living in Cleveland, with an apartment in the city's main railroad terminal (which was, in fact, a combined terminal-hotel—perhaps still is). I would catch my train to New York, disembark in Penn Station, take a subway to my hotel or office destination, transact my business and return home: all without ever emerging into the open air of either city. Trips to Boston and many other cities could be managed in the same way. A truly ant-like, but quite simple, existence. Today I can realize my dream without moving to Cleveland, but with the help of PicTel, and the non-existent, hence simple, ether that transmits electromagnetic waves. True, I did have to walk to the Carnegie Mellon Campus, but that is only a half mile from my apartment, a pleasant leisurely trip, without baggage except for my lecture notes. But let me get on with the task. If my topic—the possibility of a science of complexity—has caused you any anxiety, let me relieve you of it immediately. I am going to argue that there can be such a science—that the beginnings of 4 one already exists—and I am going to try to sketch out some of its content, present and prospective. As you will see, the theory of complex systems is much concerned with the avoidance of complexity; or, to put the matter more precisely, the theory is concerned with how systems can be designed, by us or by nature, to be as simple as possible in structure and process for a given complexity of function. The task is to defeat complexity by removing it from mechanism.