  We survey the prospects for an Information Dynamics which can serve as the
basis for a fundamental theory of information, incorporating qualitative and
structural as well as quantitative aspects. We motivate our discussion with
some basic conceptual puzzles: how can information increase in computation, and
what is it that we are actually computing in general? Then we survey a number
of the theories which have been developed within Computer Science, as partial
exemplifications of the kind of fundamental theory which we seek: including
Domain Theory, Dynamic Logic, and Process Algebra. We look at recent work
showing new ways of combining quantitative and qualitative theories of
information, as embodied respectively by Domain Theory and Shannon Information
Theory. Then we look at Game Semantics and Geometry of Interaction, as examples
of dynamic models of logic and computation in which information flow and
interaction are made central and explicit. We conclude by looking briefly at
some key issues for future progress.
