ABSTRACT
This chapter discusses the key theme of mathematical representations of Matte Blanco's bi-logic, based on metric space and ultrametric or hierarchical topology. It combines both methodological insight and perspectives on practical application. The chapter discusses the issue of close alignment between psychoanalysis and mathematical reasoning. The data analysis "platform", with its comprehensive reasoning infrastructure, is based on the correspondence factor analysis methodology, and other multivariate data analysis, and more broadly, statistical analysis methods. The related areas of psychometrics and mathematical psychology in data analytics are insightful, important and most relevant for such areas as inductive reasoning and information fusion. Matte Blanco's work is concerned with conscious reasoning and subconscious thought processes. His great achievement is to develop a cognitive model that embraces both. The chapter addresses the plausibility of appreciable analysis of content of thought processes based on interrelationships that in turn are frequencies of co-occurrence data.
