Mathematical definition of public language, and modeling of will and consciousness based on the public language
Hana Hebishima, Mina Arakaki, Chikako Dozono, Hanna Frolova, Shinichi Inage
arXiv Preprint Archive October 26, 2022 via arXiv
Summary
AI-generated from the abstractA 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.
Study at a glance
| Characteristics | Theoretical or philosophical paper Peer reviewed |
|---|---|
| Keywords | Consciousness awareness Sentience Cognition Neuroscience q-bio.nc Neurobiology |
| Key finding | Consciousness and will can be modeled by introducing a public language for events, where future actions are randomly selected from a comparison between external event recognition and past episodic memory. |
Abstract
To propose a mathematical model of consciousness and will, we first simulated the inverted qualia with a toy model of a neural network. As a result, we confirmed that there can be an inverted qualia on the neural network. In other words, the qualia were individual-dependent and considered difficult as an indicator of consciousness and will. To solve that difficulty, we introduce a probability space and a random variable into a set of qualia and define a public language for events. Based on this idea of public language, consciousness and will are modeled. In this proposal, future actions are randomly selected from the comparison between "recognition of events" by external observation and past episodic memory, and the actual "recognition of actions" is regarded as the occurrence of consciousness. The basic formula is also derived. This proposal is compared with other past philosophical discussions.