What is "society"?

Society is made up of individuals but, like fish in water, do the individuals know they are in a society? How many societies can one individual be in? With the web, societies can form without regard to physical location.

Legendary football coach Vince Lombardi describes society as "Individual commitment to a group effort -- that is what makes a team work, a company work, a society work, a civilization work."

Philosopher Jean-Jacques Rousseau called the rules that a society lives by "the social contract."