Approximating the Mathematical Structure of Psychodynamics
Bryce-Allen Bagley, Navin Khoshnan

TL;DR
This paper formalizes human psychodynamics using process theory diagrams, aiming to create a precise, accessible mathematical framework for analyzing cognitive phenomena relevant to psychology, AI safety, and neurotechnology.
Contribution
It introduces a novel diagrammatic formalization of psychodynamics, linking it to key concepts in cognitive analysis and AI safety.
Findings
Formalization of psychodynamics via process theory diagrams
Establishment of links between diagrammatic representation and cognitive analysis
Potential applications in psychotherapy, neurotechnology, and AI safety
Abstract
The complexity of human cognition has meant that psychology makes more use of theory and conceptual models than perhaps any other biomedical field. To enable precise quantitative study of the full breadth of phenomena in psychological and psychiatric medicine as well as cognitive aspects of AI safety, there is a need for a mathematical formulation which is both mathematically precise and equally accessible to experts from numerous fields. In this paper we formalize human psychodynamics via the diagrammatic framework of process theory, describe its key properties, and explain the links between a diagrammatic representation and central concepts in analysis of cognitive processes in contexts such as psychotherapy, neurotechnology, AI alignment, AI agent representation of individuals in autonomous negotiations, developing human-like AI systems, and other aspects of AI safety.
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Taxonomy
TopicsPsychiatry, Mental Health, Neuroscience · Embodied and Extended Cognition · Cognitive Science and Education Research
