Towards a Mathematical Theory of Pre-Reflective Self-Consciousness: From Metamathematics to the Projective Consciousness Model

Explore the philosophical and mathematical foundations of pre-reflective self-consciousness (PRSC) in this 22-minute conference talk that examines consciousness's self-acquaintance prior to introspection. Delve into the historical development of PRSC theories while understanding key phenomenological and psychological considerations, particularly focusing on multimodal and diachronic integration. Learn about various mathematical modeling approaches, including metamathematical self-reference by Hofstadter, circular structures by Varela, Khromov, and Williford, and projective geometry by Bennequin, Rudrauf, Williford, and Sergeant-Perthuis. Discover how these different modeling strategies interconnect and examine the crucial role of duality in projective geometrical strategy and homogeneous G-spaces. Understand how non-wellfounded structures capture essential features of PRSC and subjective character, relating to PCM and Sergeant-Perthuis' proposal. Master the five key features of subjective character: sense of individuality, capacity for reflection and mental self-attribution, synchronic unity of multimodal consciousness, point-of-view, and social self-awareness.