Mathematical definition of public language, and modeling of will and consciousness based on the public language

TL;DR

This paper introduces a mathematical framework for consciousness and will based on a concept of public language, using neural network simulations and probability theory to model subjective experiences and decision-making.

Contribution

It presents a novel mathematical model of consciousness and will that incorporates public language and probabilistic elements, addressing individual differences in qualia.

Findings

Confirmed inverted qualia can exist on neural networks

Proposed a probabilistic model of consciousness and will based on public language

Derived a basic formula linking recognition of events to consciousness

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.