The video, A Theory of a System for Educators and Managers, discusses Dr. W. Edwards Deming's view of systems in general by looking at the education system. If you don't know who Deming is; he is the guy that the U.S. automotive industry ignored but the Japanese automotive industry did not ignore, allowing the Japanese automotive industry to overtake the U.S.
I don't understand the relation between Deming's ideas and Six Sigma, but they seem very related.
These ideas were developed to improve production processes. But they are just as applicable to services and even to information systems.
Cooperation and collaboration is key to systems:
Working together is the main contribution to systemic thinking as opposed to working apart separately.