Mathematical Representations of Matte Blanco’s Bi-Logic, based on Metric Space and Ultrametric or Hierarchical Topology: Towards Practical Application

The Chilean psychoanalyst Ignacio Matte Blanco developed theories of subconscious processes and their relationship with conscious reasoning. This work, in the book The Unconscious and Infinite Sets: An Essay in Bi-Logic published in 1975, uses mathematical perspectives. In this article I will show how such perspectives are closely aligned with the mathematics underpinning data analytics. This is based on text analysis. Such text can be the surface expression, through expression in language, of thinking and reasoning. On the one hand, an aim of this work is to use the greatly insightful perspectives of Matte Blanco for such data analytics. Secondly a more extensive aim is to further develop the work of Matte Blanco with reference to psychoanalysis and various other disciplines.