The five fundamental axioms of classical probability theory were proposed by Andrey Nikolaevich Kolmogorov in 1933. The idea behind these axioms was to introduce new dimensions to the experiment, which would make the work in the complex probability set C entirely predictable, with a probability that is always equal to one. This idea forms the basis of the complex probability paradigm, which aims to make stochastic systems entirely predictable.

By adding the contributions of the imaginary set of probabilities M to the real set of probabilities R, the event in C = R + M becomes perfectly deterministic. This means that we can know the outcome of all random events that occur in nature, by calculating the parameters of the new prognostic model. We can determine the chaotic factor, the magnitude of the chaotic factor, the degree of our knowledge, and the real and imaginary and complex probabilities in the probability sets R and M and C, all of which are subject to chaos and random effects.

My aim is to link the complex probability paradigm to logic, and after adding the time dimension, we will apply this novel paradigm to a newly defined logic which I have called ‘Dynamic Logic’.

Author(s) Details:

Abdo Abou Jaoudé,
Department of Mathematics and Statistics, Faculty of Natural and Applied Sciences, Notre Dame University-Louaize, Lebanon.