Complexity and Control

Naming the Axes

In the previous topic, the likely layout of the TET was determined based on taxonomic principles and using resonance as a guide.

We can now consider the formal properties further and label:

so as to get an understanding of the four quadrants and the two diagonals.

The two axes define the psycho-social dimensions that paradigms must take into account to a greater or lesser degree when handling change.

The X-axis determines the social or output dimension affecting the use of any depiction method/paradigm. This appears to be how much the paradigm addresses the complexity of situations.

The Y-axis determines the psychological or input dimension when using any depiction method/paradigm. This appears to be how much the paradigm addresses control of situations.

This then generates a TET with quadrants as shown at right.

Labelling the axes and quadrants in this way makes it possible to see whether the proposed plot fits. If not, either the axes are in error or the plot is in error.

Checking X-Axis Complexity via Diagonals

The diagonal that stretches from lower left (LL) to upper right (UR) depicts entities or situations as compound i.e. with internal structures or components. It appears that the focus in all is on an evolution generated by the interaction of components and handling of the environment. In moving up the diagonal and along the X-Axis, the coverage of the paradigm is increasingly comprehensive as complexity is given progressively more attention.

ClosedDetails

The diagonal that stretches from upper left (UL) to lower right (LR) contains relatively simple unstructured depictions. Moving down the diagonal and along the X-axis progressively increases the orientation to complexity. Correspondingly, moving up the diagonal from LR to UL shows an increasing disinterest, neglect or rejection of the complexity inherent in any situation.

ClosedDetails

Checking Y-Axis Control via Diagonals

The diagonal that moves upward from lower right (LR) to upper left (UL) contains unstructured depictions that are increasingly oriented to control. Control in this set is desired to serve domination which increasingly demands the exercise of power.

ClosedDetails

The diagonal that moves upwards from lower left (LL) to upper right (UR) contains compound entities or systems that are increasingly concerned with control. This concern results from the challenge of increasing comprehensiveness and the desire to shape situations effectively through harnessing evolution.

ClosedDetails

Zones on the Axes

Based on the above descriptions, it is possible to identify zones on the axes and see similarities between otherwise very different paradigms.

Complexity Orientation : X-Axis

On the X-axis, there are four zones which, moving from left to right, show a progression in their capacity or preference for complexity in the situation i.e. in the entity and/or the environment.

Atomistic – Unitary Complexity is singular i.e. just one component or entity.
Structural – Dualistic Complexity is fixed i.e. specific and limited components
Few Factor Causal – Dynamic Complexity is selective i.e. multiple components with optional choices.
Multi-factor Causal – Unified. Complexity is inclusive i.e. considers all relevant components

Control Orientation : Y-Axis

On the Y-axis, there are four zones which, moving from bottom to top, show a progression in their concern for control of the situation. This control may be exercised within the entity or on the environment.

Atomistic – Multi-factor Causal Control is discretionary i.e. flexible. discontinuous, minimal.
Structural – Few factor Causal Control is rigid i.e. concentrated in specific linkages between components.
Dualistic – Dynamic Control is persistent i.e. to direct the components continuously
Unitary – Unified. Control is pervasive i.e. extensive, intensive, comprehensive.

Having confirmed and elaborated on the layout, it is now possible to commence an exploration of how the paradigms address various change issues.

Originally posted: 30-Jun-2024