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
Summary
A groundbreaking mathematical model reveals how our shared language shapes consciousness and decision-making. By analyzing neural networks and probability spaces, researchers demonstrated that while individual experiences (qualia) vary, public language provides a common framework for understanding consciousness. The model shows how future actions emerge from comparing external observations with memories, offering new insights into human consciousness and free will.
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.