Appendix CTL — Category Theory and Dualbind
Description
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.
For correspondence: laboratory@dualbind.com
License: CC BY 4.0
Abstract (Japanese)
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。
連絡先:laboratory@dualbind.com
ライセンス:CC BY 4.0
Files
appendix_ctl_v1_0_en.pdf
Additional details
Additional titles
- Alternative title (Japanese)
- Appendix CTL ──圏論と Dualbind
Related works
- Is supplement to
- Publication: 10.5281/zenodo.18227554 (DOI)
- References
- Report: 10.5281/zenodo.18231225 (DOI)
Dates
- Issued
-
2026-01-14