1. From Diagnosis to Practice
In the previous posts, we traced how collapsed readiness manifests across domains: singularities in physics, divergences in mathematics, and hard problems in dualistic philosophy.
The next step is constructive: how can we explicitly account for readiness in modelling practice? How can we transform these pathologies from metaphysical drama into actionable signals?
2. Horizon Exhaustion as Constraint
At the heart of readiness is the idea of horizon—the structured space in which a system can actualise potential.
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Horizon exhaustion occurs when a system has consumed all relational degrees of freedom along its axes of potential.
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In practice, this is not a failure; it is a legitimate stopping condition.
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A readiness-aware modeller treats horizon exhaustion as an epistemic signal: the formal system can no longer generate further meaningful differentiation within the current relational frame.
By checking horizons explicitly, we prevent formal inclination from outrunning actual relational capacity.
3. Practical Readiness Management
Several familiar strategies in physics and mathematics can now be interpreted as readiness management:
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Renormalisation
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Corrects for over-extension of formal inclination when relational capacity has been locally exhausted.
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Viewed relationally, it restores effective axes of potential rather than masking infinity.
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Gauge Freedom
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Reflects under-specified axes of potential; multiple formal paths exist precisely because relational readiness has not been fully contracted.
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Maintaining awareness of these axes preserves the system’s relational capacity.
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Shifts of Construal
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Changing the perspective or reformulating the problem can open new relational axes.
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This is analogous to moving to a new horizon when the current one has been exhausted.
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4. Accountability in Modelling
Readiness reframes modelling as a semiotic, relational practice:
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Models are not metaphysical proclamations of what “exists” or “must be.”
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They are tools to track inclination against relational capacity.
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Divergence, collapse, or hard problems are signals of limits, guiding responsible extrapolation rather than asserting ontological truths.
In this framing, science and mathematics reclaim epistemic accountability:
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Every formal step is checked against the system’s actual potential.
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Over-closure is made visible before it produces singularities or paradoxes.
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Horizon, relational axes, and readiness become central parameters of modelling, not hidden assumptions.
5. Conclusion
Explicitly incorporating readiness transforms modelling across domains:
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Physics: singularities become interpretable as exhausted potential, not infinities.
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Mathematics: divergences flag misaligned formal inclination.
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Philosophy/dualism: hard problems of mind and meaning reveal displaced relational capacity.
Readiness turns formal, conceptual, and epistemic pathologies into accountable diagnostics. It makes models tools of relational clarity, not metaphysical assertion.
In the next post, we can draw a coda unifying mathematics, dualism, and physics under the same readiness framework, showing how relational ontology provides a single diagnostic and constructive lens across domains.
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