Mathematical Models of Consciousness

In recent years, promising mathematical models have been proposed that aim to describe conscious experience and its relation to the physical domain. Whereas the axioms and metaphysical ideas of these theories have been carefully motivated, their mathematical formalism has not. In this article, we ai...

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Main Author: Johannes Kleiner
Format: Article
Language:English
Published: MDPI AG 2020-05-01
Series:Entropy
Subjects:
Online Access:https://www.mdpi.com/1099-4300/22/6/609
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author Johannes Kleiner
author_facet Johannes Kleiner
author_sort Johannes Kleiner
collection DOAJ
description In recent years, promising mathematical models have been proposed that aim to describe conscious experience and its relation to the physical domain. Whereas the axioms and metaphysical ideas of these theories have been carefully motivated, their mathematical formalism has not. In this article, we aim to remedy this situation. We give an account of what warrants mathematical representation of phenomenal experience, derive a general mathematical framework that takes into account consciousness’ epistemic context, and study which mathematical structures some of the key characteristics of conscious experience imply, showing precisely where mathematical approaches allow to go beyond what the standard methodology can do. The result is a general mathematical framework for models of consciousness that can be employed in the theory-building process.
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spelling doaj.art-5082a1e097ce47209ac6d52f6548e7b22023-11-20T02:15:45ZengMDPI AGEntropy1099-43002020-05-0122660910.3390/e22060609Mathematical Models of ConsciousnessJohannes Kleiner0Munich Center for Mathematical Philosophy, Ludwig Maximilian University of Munich, Geschwister-Scholl-Platz 1, D-80539 München, GermanyIn recent years, promising mathematical models have been proposed that aim to describe conscious experience and its relation to the physical domain. Whereas the axioms and metaphysical ideas of these theories have been carefully motivated, their mathematical formalism has not. In this article, we aim to remedy this situation. We give an account of what warrants mathematical representation of phenomenal experience, derive a general mathematical framework that takes into account consciousness’ epistemic context, and study which mathematical structures some of the key characteristics of conscious experience imply, showing precisely where mathematical approaches allow to go beyond what the standard methodology can do. The result is a general mathematical framework for models of consciousness that can be employed in the theory-building process.https://www.mdpi.com/1099-4300/22/6/609models of consciousnesstheories of consciousnessexperience spacephenomenal spacemathematical consciousness sciencemathematical phenomenology
spellingShingle Johannes Kleiner
Mathematical Models of Consciousness
Entropy
models of consciousness
theories of consciousness
experience space
phenomenal space
mathematical consciousness science
mathematical phenomenology
title Mathematical Models of Consciousness
title_full Mathematical Models of Consciousness
title_fullStr Mathematical Models of Consciousness
title_full_unstemmed Mathematical Models of Consciousness
title_short Mathematical Models of Consciousness
title_sort mathematical models of consciousness
topic models of consciousness
theories of consciousness
experience space
phenomenal space
mathematical consciousness science
mathematical phenomenology
url https://www.mdpi.com/1099-4300/22/6/609
work_keys_str_mv AT johanneskleiner mathematicalmodelsofconsciousness