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Main Authors: Battilotti, Giulia, Grotto, Rosapia Lauro
Format: Preprint
Published: 2025
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Online Access:https://arxiv.org/abs/2511.04708
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author Battilotti, Giulia
Grotto, Rosapia Lauro
author_facet Battilotti, Giulia
Grotto, Rosapia Lauro
contents A crucial issue both in cognitive and psychoanalytical theories deals with the origin of mental representations. In order to explore this issue, the paper analyzes a pre-logical setting, by considering a formalized approach to the foundations of psychoanalysis in logic, interpreting and integrating the views by Freud, Matte Blanco, Klein and Bion. The formalized approach derives from a quantum model of spin states. A representation of the spin state of a particle in first order logic is abstracted to get a modality interpretable as an abstract projector. The last can be decomposed into a positive, negative and irreal component. The irreal component cannot emerge and, in logic, is absorbed by the two others, giving rise to logical duality. Due to its treatment of undefiniteness and coherence, the paper is meant to contribute to quantum cognition, in its particular sense of affective quantum cognition.
format Preprint
id arxiv_https___arxiv_org_abs_2511_04708
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle Establishing a pre-logical setting in a quantum model of psycho-analytic theory
Battilotti, Giulia
Grotto, Rosapia Lauro
Physics and Society
Logic
Quantum Physics
A crucial issue both in cognitive and psychoanalytical theories deals with the origin of mental representations. In order to explore this issue, the paper analyzes a pre-logical setting, by considering a formalized approach to the foundations of psychoanalysis in logic, interpreting and integrating the views by Freud, Matte Blanco, Klein and Bion. The formalized approach derives from a quantum model of spin states. A representation of the spin state of a particle in first order logic is abstracted to get a modality interpretable as an abstract projector. The last can be decomposed into a positive, negative and irreal component. The irreal component cannot emerge and, in logic, is absorbed by the two others, giving rise to logical duality. Due to its treatment of undefiniteness and coherence, the paper is meant to contribute to quantum cognition, in its particular sense of affective quantum cognition.
title Establishing a pre-logical setting in a quantum model of psycho-analytic theory
topic Physics and Society
Logic
Quantum Physics
url https://arxiv.org/abs/2511.04708