This chapter describes in more detail our work on so-called ‘finite information spaces’. Loosely speaking, finite information spaces include any kind of information agent existing in any type of information environment. From this point of view, human beings, robots, or books represent finite information agents, while a library or the Internet may represent finite information environments. The chapter describes, analyzes, and interprets finite information spaces and related concepts. The chapter also provides an interesting measure called ‘autonomy index’. This index provides an opportunity to attribute a degree of autonomy to any finite information agent. We believe that our findings could be relevant in a wide range of areas.