Appendix CNT — Cantorian Infinity and Structures Without an Observing Subject

Appendix CNT records, as a structural boundary log, how “infinity” becomes describable within existing frameworks—especially Cantorian set theory—and where it appears as an observational limit when compared with the observational presuppositions of Dualbind. This appendix does not introduce a new mathematical system, does not extend or negate Cantorian set theory, and does not attempt to justify Dualbind within set theory. Instead, it clarifies a non-overlap of scope: Cantorian formalism secures rigorous operability by abstracting the observing subject away as an external condition, while Dualbind treats observability and the establishment conditions of structures as internal and necessary. Accordingly, CNT reframes (without endorsement) topics such as countable/uncountable infinity, cardinality gaps, and the Continuum Hypothesis as questions about the conditions under which a structure can be treated as infinite and what mappings are permitted by the observational structure. The conclusion is intentionally non-conclusive: the difference is not a conflict, but a boundary condition where scopes do not coincide. For correspondence: laboratory@dualbind.comLicense: CC BY 4.0