Cartesian Systemic Emergence (CSE) is concerned with strategic aspects relative to the conception of Symbiotic Recursive Pulsative Systems intended to solve real-world problems handling control and prevention in incomplete domains. This work is performed in order to prepare fundamentals for designing automated tools that help to perform this complex task. This paper presents the most important features of one particular way of thinking present in CSE. We call it ‘Resonance Thinking’. Resonance Thinking takes care of generating and handling experiments during CSE. We explain that Resonance Thinking causes the complexity of CSE to be analogous to Ackermann’s function computation complexity. The work presented is related to cognitive and computation models of human creative reasoning mechanisms. Our approach brings forward several challenging questions to Cognitive Science that will be given in the paper.