Knowledge graph is used to depict the relations between the components of a practopoietic system. The graph indicates the relations between cybernetic knowledge at different levels of organization and the traverses that relate that knowledge. For example, the hardware of a thermostat mechanism would be represented by the lower circle of the graph. This is the general knowledge of the system (i.e., knowledge on what should be done in given situations). The results of the operation of the thermostat would be represented by the circle on top. This is specific knowledge (i.e, knowledge of what should be done right now, in a given situation). The arrow connecting the two circles indicates the traverse of cybernetic knowledge, from general to specific.
An alternative to knowledge graph would be drawing interaction graphs as here, but those tend to become complicated as the number of components increases. For that reason, a simplified notation can be used to describe succinctly the relations between levels of organization possessing knowledge of different generality/specificity (circles), and the traverses that take place between those levels of organization (arrows).
Knowledge graphs do not depict interactions with the environment. These interactions are implicit.
Example knowledge graphs for simple one- and two-traversal systems are shown bellow.
A system with one traverse:
A system with two traverses: (Higher generality is always towards the bottom of the graph.)
A system with three traverses: (For explanation of anapoiesis see here, and for a tri-traversal theory of mind see here)
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