European Association for Neurolinguistic Psychotherapy, A-1090 Vienna, Austria2026-06-242026-05-23https://doi.org/10.67242/conference-2026-18https://doi.org/10.67242/conference-2026-18https://repo.usfu.edu.ua/handle/123456789/51Introduction. Why must the mind fragment in the first place? Why do parts seem functionally independent, yet the person retains a coherent sense of self? Why does inner conflict feel so visceral and paralyzing? Across most psychotherapeutic traditions (psychoanalytic, Gestalt, Transactional Analysis, psychodrama and NLPt), clinicians have long observed that the psyche does not function as a monolithic whole. Ego states, introjects, parts, and sub-personalities are not metaphors of convenience – they appear as a structural necessity of human psychological organisation. Until recently, however, no formal account existed for why this multiplicity is not only universal but mathematically inevitable. Methods. A formal mathematical answer to these clinical questions, drawing on a model…enWhy the Mind Must Fragment to Survive: A Mathematical Foundation for Psychological Parts in Systemic NLPt Catalin Zaharia, Ph.D. European Association for Psychotherapy,Conference Paper