highly-complex system diagrams
0.1 Highly-complex systems
0.1.1 Introduction
Modeling the emergence of the ultra-complex system of the
human mind–based on the super-complex human organism– one needs to consider an associated
progression towards higher dimensional algebras from the lower dimensions of human neural network dynamics and the simple algebra of physical dynamics, as shown in the following, essentially non-commutative categorical diagram.
One can represent by square categorical diagrams the emergence of ultra-complex
dynamics from the super-complex dynamics of human organisms coupled via social interactions
in characteristic patterns represented by Rosetta biogroupoids (http://planetmath.org/RosettaGroupoids), together with the complex–albeit inanimate–systems with ‘chaos’ as discussed next.
0.2 Diagrams of simple and highly-complex systems
Definition 0.1.
An ultra-complex system, is defined as an object representation in the following non-commutative
diagram of systems and dynamic system morphisms or ‘dynamic transformations
’:
0.3 Remarks
Note that the above diagram is indeed not ‘natural’ (i.e. it is not commutative) for reasons
related to the emergence of the higher dimensions of the super–complex
(biological/organismic) and/or ultra–complex (psychological/neural network dynamic) levels in comparison with
the low dimensions of either simple (physical/classical) or complex (chaotic) dynamic systems.
An ultra-complex system represents the human mind and consciousness from the standpoint of a categorical ontology theory of levels as the highest level of complexity that emerged through biological and social coevolution over the last million years on Earth.
Title | highly-complex system diagrams |
Canonical name | HighlycomplexSystemDiagrams |
Date of creation | 2013-03-22 18:30:13 |
Last modified on | 2013-03-22 18:30:13 |
Owner | bci1 (20947) |
Last modified by | bci1 (20947) |
Numerical id | 7 |
Author | bci1 (20947) |
Entry type | Topic |
Classification | msc 37B25 |
Classification | msc 93D15 |
Classification | msc 18A05 |
Classification | msc 93D21 |
Classification | msc 37B10 |
Related topic | RosettaGroupoids |
Related topic | StrongAIThesis |
Related topic | CategoricalDynamics |