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highly complex systems
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(Definition)
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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, together with the complex–albeit inanimate–systems with `chaos' as discussed next.
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.
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"highly complex systems" is owned by bci1.
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| Also defines: |
ultra-complex systems |
Cross-references: complexity, categorical ontology, diagram, morphisms, dynamic system, systems, non-commutative diagram, representation, object, square, categorical diagram, non-commutative, dynamics, higher dimensional algebras
There are 2 references to this object.
This is version 1 of highly complex systems, born on 2009-05-02.
Object id is 718, canonical name is HighlyComplexSystems.
Accessed 539 times total.
Classification:
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Pending Errata and Addenda
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![$\displaystyle \xymatrix@C=5pc{[SUPER-COMPLEX] \ar [r] ^{(\textbf{Higher Dim})} ... ...-COMPLEX) \ar [d]^{onto}\\ COMPLEX& \ar [l] ^{(\textbf{Generic Map})}[SIMPLE]} $](http://images.physicslibrary.org/cache/objects/718/l2h/img2.png "$\displaystyle \xymatrix@C=5pc{[SUPER-COMPLEX] \ar [r] ^{(\textbf{Higher Dim})} ... ...-COMPLEX) \ar [d]^{onto}\\ COMPLEX& \ar [l] ^{(\textbf{Generic Map})}[SIMPLE]} $")