Infinite Singletons and the Logic of Freudian Theory

The aim of this paper is to advance a formal description of the implicit logic grounding of the psychoanalytic theory. We therefore propose a new interpretation of the logical features of the Freudian unconscious process, starting from the Bi-logic formulation put forward by the Chilean psychoanalyst Matte Blanco. We conceive the universal undifferentiated state of the deep psychoanalytic Unconscious in terms of particular sets named infinite singletons, and we show how they can represent the logical foundations for a formal description of the Primary process. We first disclose some implicit assumptions underlying the common logical language. In doing so, we discover an unexpected presence of symmetry even in the most basic of logical and verbal structures. In the approach derived, we show that infiniteness, not finiteness, is the primary mode of sets, and therefore, of thinking. The pivotal consequence of this model is that the unconscious elements cannot be characterised in the absence of external reality, which produces the collapse of infinite sets and allows for the emergence of linguistic representations. Finally, we discuss how the model could represent a platform to formalise further developments of psychoanalytic theory, in particular with respect to the shift from the First to the Second Topics in Freudian theory

Core Conflictual Relationship

Following detailed presentation of the Core Conflictual Relationship Theme (CCRT), there is the objective of relevant methods for what has been described as verbalization and visualization of data. Such is also termed data mining and text mining, and knowledge discovery in data. The Correspondence Analysis methodology, also termed Geometric Data Analysis, is shown in a case study to be comprehensive and revealing. Quite innovative here is how the analysis process is structured. For both illustrative and revealing aspects of the case study here, relatively extensive dream reports are used. The dream reports are from an open source repository of dream reports, and the current  study proposes a possible framework for the analysis of dream report narratives, and  further, how such an analysis could be relevant within the psychotherapeutic context. This Geometric Data Analysis here confirms the validity of CCRT method

Visualization of Jacques Lacan’s Registers of the Psychoanalytic Field, and Discovery of Metaphor and of Metonymy. Analytical Case Study of Edgar Allan Poe’s “The Purloined Letter”

We start with a description of Lacan’s work that we then take into our analytics methodology. In a first investigation, a Lacan-motivated template of the Poe story is fitted to the data. A segmentation of the storyline is used in order to map out the diachrony. Based on this, it will be shown how synchronous aspects, potentially related to Lacanian registers, can be sought. This demonstrates the effectiveness of an approach based on a model template of the storyline narrative. In a second and more comprehensive investigation, we develop an approach for revealing, that is, uncovering, Lacanian register relationships. Objectives of this work include the wide and general application of our methodology. This methodology is strongly based on the “letting the data speak” Correspondence Analysis analytics platform of Jean-Paul Benzécri, that is also the geometric data analysis, both qualitative and quantitative analytics, developed by Pierre Bourdieu

Pattern recognition of subconscious underpinnings of cognition using ultrametric topological mapping of thinking and memory

The author reviews the theory and practice of determining what parts of a data set are ultrametric. He describes the potential relevance of ultrametric topology as a framework for unconscious thought processes. This view of ultrametric topology as a framework that complements metric-based, conscious, Aristotelian logical reasoning comes from the work of the Chilean psychoanalyst, Ignacio Matte Blanco. Taking text data, the author develops an algorithm for finding local ultrametricity in such data. He applies that in two case studies. The first relates to a large set of dream reports, and therefore can possibly recall traces of unconscious thought processes. The second case study uses Twitter social media, and has the aim of picking up underlying associations. The author's case studies are selective in regard to names of people and objects, and are focused in order to highlight the principle of his approach, which is one of particular pattern finding in textual data. (Guest editor of Special Issue on Computational Psychoanalysis.