Mathematical phenomenology, from subjectivity to objectivity through mathematical invariants

Mathematical phenomenology is part of the growing field of mathematics of consciousness. It has its roots in the work of the German mathematician and philosopher Edmund Husserl and evolved into the program “Naturalizing Phenomenology” during the late nineties. Currently, a few models of consciousness claim a mathematical phenomenology approach, however, most of them fail to acknowledge the deep scientific consequences of the original project. In this talk, I will contextualize what is mathematical phenomenology by quickly reviewing the progress in the mathematics of consciousness. Then, I introduce a mathematical and phenomenological perspective based on the foundations of mathematics, particularly category theory and mathematical invariants. This framework allows us to sketch how objectivity naturally arises from subjectivity, making the former secondary and the latter primary. Finally, this move seems to be free of philosophical contradictions and acknowledges rigorous and methodological requirements to study subjective experience.

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