1. Definition
The Cartesian Axes define the three-dimensional pedagogical space of Pyragogy: Ontogeny (developmental readiness), Praxis (cognitive friction and effort), and Autonomy (epistemic sovereignty). They are structured interpretive coordinates, not objective mathematical measurements.
2. Use Case
Activated whenever a node (a risk, capability, or protocol) needs to be positioned within the system, compared against other nodes, or audited for its pedagogical appropriateness at a given stage of a learner’s development.
3. Human Role
The human must interpret axis placement as a qualitative pedagogical judgment. The user decides whether a specific intervention is appropriate based on where the learner currently sits in the three-dimensional space, rather than treating the coordinates as a decorative score.
4. AI Role
The AI can suggest coordinate placement for new concepts based on structural similarity to existing nodes, but it must explicitly justify its suggestions using the node’s actual function and the definitions of the axes.
5. Friction
The governance mechanism prevents arbitrary scoring by forcing explicit reasoning for each coordinate. A node cannot simply be assigned “10/10 Autonomy”; the system demands a rationale for why the node requires that level of sovereignty.
6. Risk
Without these axes, the graph becomes a beautiful but semantically flat constellation. Nodes would exist in a vacuum, making it impossible to determine if a specific protocol is an early-stage necessity or an advanced capability, leading to pedagogical misapplication.
7. Observable Markers
Nodes can be compared meaningfully. The axis values clearly explain why one node belongs in early ontogeny, why another requires high friction (praxis), and why a third demands complete autonomy.