What question did this study set out to answer?

To establish the mathematical foundations and metric architecture of Axiometry, bridging qualitative value philosophy with computational systems.

August 19, 2026Open Access

Axiometry: Prolegomena to a Metric Science of Value (Transcendental Foundations and Formal Architecture – Part I)

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Authors

MDMarx Agustin García Delgado

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Implication

Theoretical analysis establishes a supra-Boolean algebraic framework for measuring value systems, suggesting a formal mathematical foundation for artificial intelligence and social modeling.

Key Points

To establish the mathematical foundations and metric architecture of Axiometry, bridging qualitative value philosophy with computational systems.
Derived a four-valued Supra-Boolean Algebra ({0, 1, 0̸, 1̸}) to formalize the ontological tension between Existence and Manifestation.
Defined the Axon (α) as the minimal unit of value donation and formalized Phenomenological Coupling and Axiometric Hyperspace (Ξ) topologies.
Proved the Completeness Theorem of the Phenomenological System (S₅), confirming supra-Boolean algebra can represent classical, quantum, and liminal phenomena.
Constructed a computable mathematical framework integrating subjective noesis with objective phenomena to support future AI architectures and hallucination detection.

Cite This Study

Marx Agustin García Delgado (2026) studied this question.

synapsesocial.com/papers/6a8563fe03308d306e2d780c https://doi.org/10.5281/zenodo.21985980

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Implication

Theoretical analysis establishes a supra-Boolean algebraic framework for measuring value systems, suggesting a formal mathematical foundation for artificial intelligence and social modeling.

Axiometry: Prolegomena to a Metric Science of Value (Transcendental Foundations and Formal Architecture – Part I)

Discussion

Member takes

Implication

Key Points

Cite This Study

Axiometry: Prolegomena to a Metric Science of Value (Transcendental Foundations and Formal Architecture – Part I)

Discussion

Member takes

Implication

Key Points

Cite This Study

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