Cybersecurity issues become a key part of recent debates about the future of the Internet. Metaphors like a “digital Pearl Harbor”, a “cyber cold war”, and a “cyber bomb” are in common use. Not only “authoritarian”, but also more democratic states use these inflated threats to seize a national control of the Internet. The “nationalization” of the Internet becomes a vexed problem. It is necessary now to find a way how we can think about the Internet and protect its positive sides. The social systems theory of N. Luhmann can be purposeful to see new dimensions of the global Internet.