Definitionv1DF-262
Recursive structure
a nested system defined in terms of itself where a single rule generates infinite depth, enabling the same structural pattern to operate at every level of organization without requiring different rules for each scale
Why This Is a Definition
This definition precisely captures the mathematical and cognitive properties of recursive structures. It identifies the genus (nested system defined in terms of itself), differentia (single rule generates infinite depth), and explains the operational characteristic (same structural pattern at every level). It distinguishes this from mere hierarchical organization by emphasizing the generative capacity and uniform rule application across scales, which is central to the curriculum's understanding of cognitive infrastructure.