The Theory of Categorial Conversion is advanced by Professor Kofi Kissi Dompere as mathematical-philosophical and game-theoretic foundations to solve the problem of socio-natural transformation as governed by some internal process in relation to Marx, Schumpeter and Nkrumah. Dompere' s methodology is based on the Africentric principles of opposites made up of actual-potential polarity, negative-positive duality with relational continuum and unity under cost-benefit rationality and Asantrofi-Anoma principle supported by fuzzy paradigm of thought. Socio-natural transformations are seen in terms of game theories in a fuzzy-stochastic space admitting of defective-deceptive information structures in quality-quantity space within the subjective-objective duality. The main premise of the monograph is that there exists a set of necessary and sufficient conditions for internal self-transformation. The necessary conditions are made up of categorial moments and categorial transfer functions forming the domain of control instrumentation in creating the sufficient conditions for categorial-conversion processes. Dompere presents an important methodological framework for the study and construction of the theories of socioeconomic development and political change, as well as info-dynamics connecting knowledge, sciences, innovation and engineering to the space of knowing, under qualitative-quantitative transformational dynamics with defective-deceptive information structures in the games for power and dominance by duals and poles in conflicts. The necessary conditions of socio-natural transformation are internally derived based on the relational structure of matter-energy-information activities within the dynamics of qualitative dispositions of dualities of actual-potential polarities. The theory consists of category formation showing ontological-epistemological categories, and categorial dynamics shows elemental conversions of categorial varieties in a continuum. The logical tools and the paradigm of thought for the theoretical development of Nkrumah's framework involve self-excitement, self-correction and self-control systems induced by internal contradictions. The set of necessary conditions constitutes the natural necessity that constrains cognitive freedom in socio-natural transformations. Had this conceptual system been familiar to economists and social scientists, the construct of the theories of socioeconomic development and transformations would have been increasingly successful.