3 2 40-63 2014

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

Fionn Murtagh


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. 

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Bécue-Bertaut, M., Kostov, B., Morin, A. and Naro, G. (2014), Rhetorical strategy in forensic speeches: multidimensional statistics-based methodology. Journal of Classification, 31, 85-106.

Blasius, J. and Greenacre, M. (Eds.) (2014). Visualization and verbalization of data. Boca Raton, FL: Chapman and Hall/CRC Press.

Bourdieu, P. (1984). Distinction: A social critique of the judgement of taste. Cambridge, MA: Harvard University Press.

Chafe, W. L. (1979). The flow of thought and the flow of language. In T. Givón (Ed.), Syntax and semantics: Discourse and syntax, Volume 12 (pp. 159-181). New York, NY: Academic Press.

Chafe, W. (1994). Discourse, consciousness, and time: The flow and displacement of conscious experience in speaking and writing. Chicago, IL: University of Chicago Press.

Domhoff, G. W. (2002). Using content analysis to study dreams: applications and implications for the humanities. In K. Bulkeley (Ed.), Dreams: A reader on the religious, cultural, and psychological dimensions of dreaming (pp. 307-319). New York, NY: Palgrave.

Domhoff, G. W. (2003). The scientific study of dreams: Neural networks, cognitive development and content analysis. Washington, DC: American Psychological Association.

Domhoff, G. W. (2006). Barb Sanders: Our best case study to date, and one that can be built upon. Retrieved from http://www2.ucsc.edu/dreams/Findings/barb_sanders.html

DreamBank. Repository of dream reports (2004). Retrieved from http://www.dreambank.net.

Khrennikov, A. (1997). Non-archimedean analysis, quantum paradoxes, dynamical systems and biological models. Dordrecht, The Netherlands: Kluwer.

Khrennikov, A. (2004). Information dynamics in cognitive, psychological, social and anomalous phenomena. Dordrecht, The Netherlands: Kluwer.

Khrennikov, A. (2007). Toward an adequate mathematical model of mental space: Conscious/unconscious dynamics on m-adic trees. Biosystems, 90, 656-675.

Khrennikov, A. (2010). Modelling of psychological behavior on the basis of ultrametric mental space: Encoding of categories by balls. p-Adic Numbers, Ultrametric Analysis, and Applications, 2, 1-20.

Khrennikov, A. (2014, forthcoming). Dynamical processing of information in unconsciousness: ultrametric model.

Lauro-Grotto, R. (2008). The unconscious as an ultrametric set. American Imago, 64, 535-543.

Matte Blanco, I. (1998). The unconscious as infinite sets: An essay in bi-logic. London, UK: Karnac. (Original work published 1975)

McKee, R. (1999). Story – substance, structure, style, and the principles of screenwriting. York, Australia: Methuen.

Murtagh, F. (2005). Correspondence analysis and data coding with Java and R. Boca Raton, FL: Chapman & Hall/CRC Press.

Murtagh, F., Ganz, A., & McKie, S. (2009). The structure of narrative: The case of film scripts. Pattern Recognition, 42, 302-312.

Murtagh, F. (2012a). Ultrametric model of mind, I: Review. p-Adic Numbers, Ultrametric Analysis and Applications, 4, 193-206.

Murtagh, F. (2012b). Ultrametric model of mind, II: Application to text content analysis. p-Adic Numbers, Ultrametric Analysis, and Applications, 4, 207-221.

Murtagh, F. (2014a). Pattern recognition in mental processes: determining vestiges of the subconscious through ultrametric component analysis. In S. Patel, Y. Wang, W. Kinsner, D. Patel, G. Fariello, & L. A. Zadeh (Eds.), Proceedings ICCI*CC 2014, 2014 IEEE 13th International Conference on Cognitive Informatics and Cognitive Computing (pp. 155-161). London, IEEE Computer Society Press, Los Alamitos, CA.

Murtagh, F. (2014b, forthcoming). Pattern recognition of subconscious underpinnings of cognition using ultrametric topological mapping of thinking and memory. International Journal of Cognitive Informatics and Natural Intelligence (IJCINI).

Murtagh, F., & Ganz. A. (2014, submitted). Pattern recognition in narrative: analysis of narratives of emotion.

Rayner, E. (1995). Unconscious logic: An introduction to Matte Blanco’s bi-logic and its uses. Oxford, UK: Routledge.

Schneider, P. (2013). Language usage and social action in the psychoanalytic encounter: discourse analysis of a therapy session fragment. Language and Psychoanalysis, 2, 4-19.

Tonti, M. (2012). Emotions and the unconscious: Modeling and measuring the affective salience of the mind. Unpublished PhD thesis. Università del Salento.

DOI: https://doi.org/10.7565/landp.2014.008


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