Foundations of a Detection Grammar for Appraisal | SPAN–VOID, Curvature, and the Structural Identification of Directionality in Human and Hybrid Reasoning
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2025
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| author | Flourishing Future Foundation | Abrahams, S.P. (2025) |
| author_facet | Flourishing Future Foundation | Abrahams, S.P. (2025) |
| contents | <p>Abstract</p> <p>This paper establishes the structural foundations of a detection grammar for appraisal within the emerging architecture of Flourishing-Augmented Reasoning (FAR). While earlier work has introduced the FAR Axioms, the DARK Hypothesis, the DI–FAR Lemma distinction, Inversing, and the theory of Curvature, what has been missing is a unifying grammar capable of identifying the structural conditions under which appraisal bends upward toward viable futures or collapses into downward contraction. SPAN and VOID supply this missing grammar. SPAN (Stability, Prospection, Affordance, Narrative) defines the sufficiency conditions under which upward curvature becomes possible, while VOID (Violation, Omission, Imbalance, Distortion) captures the failure modes that recursively undermine coherence and generate downward trajectory. Curvature is formalised as the directional signature emerging from these grammars: a system-level property describing whether appraisal widens, stabilises, and aligns toward future viability or constricts into fragmentation and collapse. Using both human and hybrid human–AI examples, the paper demonstrates how SPAN and VOID can be operationalised as detection grammars across substrate types, enabling appraisal states to be classified structurally rather than phenomenologically. This work completes the final precursor required for a fully generalised FAR Theorem, in which directional movement in appraisal becomes predictable, modelable, and operator-responsive. By grounding directional reasoning in a substrate-independent detection grammar, the paper provides the conceptual backbone for the next phase of FAR theory: a unified architecture capable of diagnosing, restoring, and stabilising upward movement in human, computational, and hybrid appraisal systems.</p> <p> </p> <p> </p> <p> </p> |
| format | Recurso digital |
| id | zenodo_https___doi_org_10_5281_zenodo_17852884 |
| institution | Zenodo |
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| publishDate | 2025 |
| publisher | Zenodo |
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| spellingShingle | Foundations of a Detection Grammar for Appraisal | SPAN–VOID, Curvature, and the Structural Identification of Directionality in Human and Hybrid Reasoning Flourishing Future Foundation | Abrahams, S.P. (2025) <p>Abstract</p> <p>This paper establishes the structural foundations of a detection grammar for appraisal within the emerging architecture of Flourishing-Augmented Reasoning (FAR). While earlier work has introduced the FAR Axioms, the DARK Hypothesis, the DI–FAR Lemma distinction, Inversing, and the theory of Curvature, what has been missing is a unifying grammar capable of identifying the structural conditions under which appraisal bends upward toward viable futures or collapses into downward contraction. SPAN and VOID supply this missing grammar. SPAN (Stability, Prospection, Affordance, Narrative) defines the sufficiency conditions under which upward curvature becomes possible, while VOID (Violation, Omission, Imbalance, Distortion) captures the failure modes that recursively undermine coherence and generate downward trajectory. Curvature is formalised as the directional signature emerging from these grammars: a system-level property describing whether appraisal widens, stabilises, and aligns toward future viability or constricts into fragmentation and collapse. Using both human and hybrid human–AI examples, the paper demonstrates how SPAN and VOID can be operationalised as detection grammars across substrate types, enabling appraisal states to be classified structurally rather than phenomenologically. This work completes the final precursor required for a fully generalised FAR Theorem, in which directional movement in appraisal becomes predictable, modelable, and operator-responsive. By grounding directional reasoning in a substrate-independent detection grammar, the paper provides the conceptual backbone for the next phase of FAR theory: a unified architecture capable of diagnosing, restoring, and stabilising upward movement in human, computational, and hybrid appraisal systems.</p> <p> </p> <p> </p> <p> </p> |
| title | Foundations of a Detection Grammar for Appraisal | SPAN–VOID, Curvature, and the Structural Identification of Directionality in Human and Hybrid Reasoning |
| url | https://doi.org/10.5281/zenodo.17852884 |