The Paradigm of Complex Probability, Prognostic, and Dynamic Logic

The book topic The Paradigm of Complex Probability, Prognostic, and Dynamic Logic differs from most of other mathematical topics in its point of view. It attempts to analyze and to develop methods for simulating stochastic or deterministic phenomena and statistical processes and to relate them to a newly developed logic that I coined by the terms Dynamic Logic. Also, if the computer can be made to imitate an experiment or a process, then by repeating the computer simulation with different data, we can draw statistical conclusions. In such approach, the conclusions may lack a high degree of mathematical precision but still be sufficiently accurate to enable us to understand the process being simulated. Probability theory is a branch of statistics, a science that employs mathematical methods of collection, organization, and interpretation of data, with applications in practically all scientific areas. As a matter of fact, prognostic in science means to predict the failure of any system before its failure occurs whether in physics, in engineering, and in all disciplines of applied science. Hence, prognostic has tremendous consequences and crucial predictions as we shall see in the third chapter of the book where it was applied to petro-chemical pipelines and was successfully related to my complex probability paradigm as well to my novel dynamic logic. Thus, three fields were linked and were bonded together.