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Report . 2026
License: CC BY
Data sources: Datacite
ZENODO
Report . 2026
License: CC BY
Data sources: Datacite
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Appendix CTL — Category Theory and Dualbind

Appendix CTL ──圏論と Dualbind
Authors: Sakamoto, Keiji;

Appendix CTL — Category Theory and Dualbind

Abstract

EN Appendix CTL records, as a structural boundary log, where the scope presupposed by Category Theory—objects, morphisms, functors, and natural transformations—and the scope presupposed by Dualbind—ontology, the observing subject, and layered structure—do not coincide. This text does not adopt, integrate, or justify Category Theory as the theoretical foundation of Dualbind, nor does it introduce new mathematical structures. Its purpose is to prevent misreadings driven by excessive analogy by explicitly marking the boundary conditions of scope. In Category Theory, internal content and ontological properties of objects are not questioned; what matters is the composability and preservation of structure. Dualbind, by contrast, explicitly posits the observing subject as non-negatable and arranges meaning and operation under that presupposition. The conclusion is intentionally non-conclusive: the difference is not competitive, but a boundary condition where the two scopes do not coincide. JA Appendix CTL は、圏論が前提とする対象・射・関手・自然変換の射程と、Dualbind が前提とする存在論・観測主体・層構造の射程が、どこで一致しないかを構造的境界ログとして差分記録する。 本稿は、圏論を Dualbind の理論的基盤として採用・統合・正当化しない。また、新たな数学的構造を導入しない。目的は、過剰な類比による誤読が生じやすい箇所において、射程差が境界条件として現れる点を明示することにある。 圏論は、対象の内実や存在論的性質を問わず、構造の比較可能性と保存条件を精密に扱う。一方 Dualbind は、観測主体の否定不能性を明示した上で、構造・意味・操作を配置する設計を採る。結論は結論的非結論として固定される──差分は競合ではなく、射程が一致しない境界条件である。

Keywords

Functor, Structural boundary log, Dualbind, Natural transformation, Appendix CTL, Objects and morphisms, Boundary condition, Non-closure, Observing subject, Formal scope, Math Boundary, Category Theory, Scope difference, Abstraction

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selected citations
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
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