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Informational Structures and Informational Fields as a Prototype for the Description of Postulates of the Integrated Information Theory

1
Faculty of Mathematics and Computer Science, Jagiellonian University, ul. Łojasiewicza 6, 30-348 Kraków, Poland
2
Department of Differential Equations and Numerical Analysis, Faculty of Mathematics, University of Seville, 41080 Seville, Spain
3
Department of Philosophy, Logic and Philosophy of Science, Faculty of Philosophy, University of Seville, 41018 Seville, Spain
*
Author to whom correspondence should be addressed.
These authors contributed equally to this work.
Entropy 2019, 21(5), 493; https://doi.org/10.3390/e21050493
Received: 22 February 2019 / Revised: 7 May 2019 / Accepted: 11 May 2019 / Published: 14 May 2019
(This article belongs to the Special Issue Integrated Information Theory)
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Abstract

Informational Structures (IS) and Informational Fields (IF) have been recently introduced to deal with a continuous dynamical systems-based approach to Integrated Information Theory (IIT). IS and IF contain all the geometrical and topological constraints in the phase space. This allows one to characterize all the past and future dynamical scenarios for a system in any particular state. In this paper, we develop further steps in this direction, describing a proper continuous framework for an abstract formulation, which could serve as a prototype of the IIT postulates. View Full-Text
Keywords: dynamical system; integrated information theory; global attractors; Lotka–Volterra equations; informational structure; informational field dynamical system; integrated information theory; global attractors; Lotka–Volterra equations; informational structure; informational field
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Kalita, P.; Langa, J.A.; Soler-Toscano, F. Informational Structures and Informational Fields as a Prototype for the Description of Postulates of the Integrated Information Theory. Entropy 2019, 21, 493.

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