ABSTRACT
This chapter presents definitions of some basic concepts for the development of a general theory of self-organizing systems based on corresponding logical-mathematical concepts. Starting with the logical concept of partial structure, a general definition of system is introduced that is compatible with several areas of knowledge. The authors then define an open and closed system, isolated system, self-organizing system, and creative system. The main properties of self-organizing systems are characterized, and the interrelations of Self-Organization with the concepts of creation and systemic evolution are discussed. Also treated is the relationship of an observing and interpreting subject with a system that is being observed and investigated.
