NOTIONAL LOGIC OF SYSTEMS

Abstract

In this paper the authors develop a dialectical logic of complex system notions within a mathematical linguistic theory of models. In the set of notions defined in a system, it is considered an order relationship and the Boole Algebra of the notions. This study obtains a tool, which is the metatheoretical base of such theory. The study of the complex systems as well as their modelling allows us to accomplish their analysis in the context of mathematical linguistics (Villacampa and Usó-Domènech 1999). The mathematics modelling determine texts - models and their study from a text theory (Villacampa et al. 1999). These theories imply the existence of a problem that must be studied in terms of classic logic: extension/ comprehension. These opposite categories form an entity within the same text/model and they are studied by the dialectical logic. The bases of the Dialectical Logic are necessary in the study of the Systems, since the dialectics formulate how the phenomena of the reality of the system should be studied as a means to examine any object, or system, which allows the perception of the Essence, or real nature. It will be necessary to consider the development and the changes of the system, and the system must be defined without antagonism between the dialectical and formal logic.