Agency as the evolving capacity to navigate complex relational topologies.
In Parts I and II, we examined agency as gradient-sensitive navigation, balancing local skill with global strategy. We now turn to emergent competence: the ways in which systems develop adaptive capabilities over time, refining their ability to traverse relational fields while sustaining coherence and openness.
1. Competence as Emergent Property
Relational competence is not pre-given; it arises from the ongoing interaction of gradients, cuts, and reflexive coherence:
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Repeated navigation along field slopes generates internalised patterns of responsiveness.
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Successes and failures modulate local steepness, gradually shaping more effective pathways.
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Competence is therefore topologically encoded: the field itself retains the imprint of prior navigation.
 
Emergent competence is relational and historical, built through experience within the topology of becoming.
2. Adaptive Navigation
Adaptive systems continually adjust their strategies in response to changes in the field:
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Local gradient steepening or flattening prompts reflexive recalibration.
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Global inclinations shift as sequences of cuts reconfigure the topology.
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Adaptive navigation is the dynamic alignment of skill and strategy with continuously evolving field conditions.
 
This reveals that agency is processual and evolving, not static or predetermined.
3. Learning Across Scales
Competence emerges across both local and global scales:
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Micro-level adaptation refines immediate responses to local steepness.
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Macro-level adaptation adjusts anticipatory horizons and strategic alignment.
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Cross-scale feedback ensures that local adjustments reinforce global coherence, and global structures guide local actualisation.
 
Learning, in this sense, is the self-organisation of field-sensitive navigation, producing trajectories of increasing relational competence.
4. Cross-Domain Manifestation
Emergent competence is evident across domains:
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Physical systems: coupled oscillators or self-organising particles adapt to preserve stability while exploring new configurations.
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Biological systems: organisms develop flexible behaviours, adjusting physiology and movement to environmental gradients.
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Semiotic systems: communicative networks refine interpretive and signalling practices, stabilising collective meaning while enabling innovation.
 
Across all domains, competence is emergent, adaptive, and topologically grounded, inseparable from the relational dynamics of the field.
Next: Anticipatory Mastery and Field-Sensitive Agency
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