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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 preprint

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Characteristics Theoretical or philosophical paper
Keywords Consciousness awareness Sentience Cognition Neuroscience q-bio.nc Neurobiology Brain science Language linguistics Communication Verbal expression Decision-making choice Judgment Reasoning
Key points Proposes that consciousness and will can be modeled mathematically by introducing a public language for events via probability space and random variables, where future actions are randomly selected from a comparison of external event recognition and 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.

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