Kasei-Theory I.Mathematical Layer: Non-Relational Fixation

This paper presents the mathematical layer within the first system of Kasei-Theory as a non-modal readability maintainability architecture. The paper does not propose a philosophy of mathematics, a formal ontology, or a theory of symbolic representation. Instead, it fixes non-relational fixation, non-metric differentiation, constraint notation, topological differentiation, and non-dynamical configuration as distributed structural positions within constrained local readability maintainability. Mathematical notation does not establish representation. Structural fixation does not establish formal grounding. Differentiation does not require measurable distance. Topology does not establish spatial structure. Constraint notation does not complete formal derivation. Mathematical fixation does not establish explanatory closure. The mathematical layer is not introduced as a complete mathematical system. Formalization, proof, metric differentiation, topology, and symbolic fixation are treated as constrained readability configurations rather than foundational explanatory structures. The first system remains non-total and non-final without calculable grounding, relational completion, operational formalization, or final philosophical closure. No subject is presupposed. No complete formal closure is secured. This paper is part of Kasei-Theory.

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Publication Details

Journal
Zenodo (CERN European Organization for Nuclear Research)
Published
2026-05-27
DOI
https://doi.org/10.5281/zenodo.20408335
Primary Topic
Philosophy and Theoretical Science
Type
preprint
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preprint

Kasei-Theory I.Mathematical Layer: Non-Relational Fixation

Juza Minamikata
Zenodo (CERN European Organization for Nuclear Research)
Philosophy and Theoretical Science
preprint

Kasei-Theory I.Mathematical Layer: Non-Relational Fixation

Juza Minamikata
preprint en

Abstract

This paper presents the mathematical layer within the first system of Kasei-Theory as a non-modal readability maintainability architecture. The paper does not propose a philosophy of mathematics, a formal ontology, or a theory of symbolic representation. Instead, it fixes non-relational fixation, non-metric differentiation, constraint notation, topological differentiation, and non-dynamical configuration as distributed structural positions within constrained local readability maintainability. Mathematical notation does not establish representation. Structural fixation does not establish formal grounding. Differentiation does not require measurable distance. Topology does not establish spatial structure. Constraint notation does not complete formal derivation. Mathematical fixation does not establish explanatory closure. The mathematical layer is not introduced as a complete mathematical system. Formalization, proof, metric differentiation, topology, and symbolic fixation are treated as constrained readability configurations rather than foundational explanatory structures. The first system remains non-total and non-final without calculable grounding, relational completion, operational formalization, or final philosophical closure. No subject is presupposed. No complete formal closure is secured. This paper is part of Kasei-Theory.

Zenodo (CERN European Organization for Nuclear Research)
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