Web 2.0 [...] as the result of applying the Web function to itself, that is, Web 2.0 = Web2 (). Let W denote the set of all URL-addressableinformation.
[...] What is the size of this Web to come? Let W denote the set of all URL-addressable information. Each combination can in turn be deployed on the Web by making it URL-addressable and expressed mathematically as:
Note that a large portion of the impetus for the move from Web 1.0 to Web 2.0 and later to the predicted 2^w is due to user needs; aggregations, projections, and mashups are all a direct consequence of the user’s need to consume information in a form that is most suited to a given task. Though the resulting set 2^w might be immense, most of these elements are relevant only when used by at least one user.
Very interesting read.