Descriptiveness of Nonlinear Theoretical Knowledge and Self-Organization of Nonlinear Science

Abstract

Correspondence between descriptiveness of nonlinear theoretical knowledge about self-organizing phenomena and descriptive epistemological models in foundations of self-organizing nonlinear science demonstrates the becoming of adequate methodological consciousness in the sphere of nonlinear studies. It means the revision of epistemological foundations for nonlinear methodology, specifically the understanding of scientific truth as nonlinear process. Self-organizing system choices by chance one of its nonlinear dynamic’s variant. Theory predicts the branching in bifurcation points of graphs of nonlinear equations solutions. Realization by system one of the possibilities, expressed by the solution, does not mean that other solutions were not the scientific truth. Theoretical explanation of realized state of nonlinear process is real necessity, which includes information about  choice in bifurcation point. So, it is theoretical description of certain variant of self-organization. It is interesting that science of self-organization is self-organizing itself, complementing the disciplinary organization by self-organizing interdisciplinary communities of scientists.