Mathematical definition of public language, and modeling of will and consciousness based on the public language
arXiv Preprint Archive October 26, 2022 Hana Hebishima, Mina Arakaki, Chikako Dozono et al.
A mathematical model of consciousness and will is proposed, starting with a neural-network simulation that confirms inverted qualia—subjective experiences that differ between individuals, making qualia unreliable as indicators of consciousness. To address this, a probability space and random variable are introduced over a set of qualia, defining a public language for events. Consciousness and will are modeled as future actions randomly selected from a comparison between external event recognition and past episodic memory, with actual action recognition constituting the occurrence of consciousness. A basic formula is derived, and the proposal is compared with prior philosophical discussions.