Symmetrizing object and meta levels organizes thinking

Area of Science:

• Computational theory
• Cognitive science
• Complex systems

Background:

• Self-organization and criticality are observed in various natural and artificial systems.
• Understanding the computational underpinnings of thinking and self-reference remains a challenge.

Purpose of the Study:

• To introduce a novel non-cellular finite automaton model exhibiting self-organizing behavior.
• To model thinking as an inner dialogue using a self-referential process.
• To explore the dynamics of contradiction and criticality in computational models.

Main Methods:

• Development of a single non-cellular finite automaton.
• Implementation of a self-referential process involving first-person and third-person descriptions.
• Modeling thinking as a second-person inner dialogue.
• Analysis of internal measurement, disequilibration, and inconsistency transfer.
• Probabilistic interpretation of a non-determinacy weakening oracle.

Main Results:

• The model exhibits self-organizing behavior with intermittency and criticality.
• The self-referential process dynamically manages contradiction, postponing its advent.
• Internal measurement, disequilibration, and local inconsistency resolution are observed.
• The duality of the internal measurement subject prevents monologue, enabling critical thinking.

Conclusions:

• The proposed finite automaton model provides a novel framework for understanding self-organization and criticality.
• The method of dynamic self-referential contradiction offers insights into computational models of thinking and inner dialogue.
• The probabilistic interpretation of non-determinacy is crucial for the model's critical behavior.