# Ultrametric model of mind, I: Review

@article{Murtagh2012UltrametricMO, title={Ultrametric model of mind, I: Review}, author={Fionn Murtagh}, journal={P-Adic Numbers, Ultrametric Analysis, and Applications}, year={2012}, volume={4}, pages={193-206} }

We mathematically model Ignacio Matte Blanco’s principles of symmetric and asymmetric being through use of an ultrametric topology. We use for this the highly regarded 1975 book of this Chilean psychiatrist and pyschoanalyst (born 1908, died 1995). Such an ultrametric model corresponds to hierarchical clustering in the empirical data, e.g. text. We show how an ultrametric topology can be used as a mathematical model for the structure of the logic that reflects or expresses Matte Blanco’s…

## 39 Citations

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

- Psychology
- 2014

The Chilean psychoanalyst Ignacio Matte Blanco developed theories of subconscious processes and their relationship with conscious reasoning using mathematical perspectives, which are closely aligned with the mathematics underpinning data analytics.

### Pattern Recognition of Subconscious Underpinnings of Cognition using Ultrametric Topological Mapping of Thinking and Memory

- PsychologyInt. J. Cogn. Informatics Nat. Intell.
- 2014

The author develops an algorithm for finding local ultrametricity in such data and applies that in two case studies, which 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.

### The Operationalization of the unconscious from Matte Blanco's bi-logic to computation

- Philosophy2014 IEEE 13th International Conference on Cognitive Informatics and Cognitive Computing
- 2014

In this study the fundamentals of Ignacio Matte Blanco's concepts are identified and re-elaborated in a more formal way, with the aim of developing an operational and dynamic functional structure that evolves over time and that includes the affective value of objects.

### Cognitive processes of the brain: An ultrametric model of information dynamics in unconsciousness

- Psychology
- 2014

We discuss differences in mathematical representations of the physical and mental worlds. Following Aristotle, we present the mental space as discrete, hierarchic, and totally disconnected…

### Towards Ultrametric Modeling of Unconscious Creativity

- MathematicsInt. J. Cogn. Informatics Nat. Intell.
- 2014

The authors apply the p-adic modeling of brain's creativity and its ability to create abstract images to demonstrate the ability of the "p-adic brain" to process adequately the objects of the physical Euclidean space in the p -adic tree representation.

### Formal foundations for the origins of human consciousness

- Psychology
- 2016

In the framework of p-adic analysis (the simplest version of analysis on trees in which hierarchic structures are presented through ultrametric distance) applied to formalize psychic phenomena, we…

### Infinite Singletons and the Logic of Freudian Theory

- PsychologyLanguage and Psychoanalysis
- 2021

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…

### Pattern recognition in mental processes: Determining vestiges of the subconscious through ultrametric component analysis

- Psychology2014 IEEE 13th International Conference on Cognitive Informatics and Cognitive Computing
- 2014

This work aims at a major new application, namely quantifying and interpreting vestiges of the subconscious, or what could be arising from subconscious processes, in narrative, through finding emotional content, metaphor and other potential expressions of the psyche as defined by the psychoanalyst, Matte Blanco.

### Ultrametric model of mind, II: Application to text content analysis

- PsychologyArXiv
- 2012

This work uses coherent and meaningful collections of nearly 1000 texts to show how to measure inherent ultrametricity and hypothesizes that inherent ultametricity is a basis for further exploring unconscious thought processes.

### A Predicative Characterization of Quantum States and Matte Blanco's Bi-logic

- PhilosophyQI
- 2013

There is a correspondence between a predicative characterization of quantum states and bi-logic, proposed by the Chilean psychoanalyst I. Matte Blanco, which makes negation and logical consequence collapse in favour of different links between judgements, that are due to quantum correlations.

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This work uses coherent and meaningful collections of nearly 1000 texts to show how to measure inherent ultrametricity and hypothesizes that inherent ultametricity is a basis for further exploring unconscious thought processes.

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