Appendix RSL — Russell's Paradox and Self-Reference

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Authors: Keiji Sakamoto
Cited by: 1

Abstract

Appendix RSL records, as a structural boundary log, the structural limits exposed by self-reference, using Russell’s paradox as a point of entry. It addresses how self-reference manifests as a limit within logical systems and descriptive structures, rather than attempting to justify, ground, or reconstruct Dualbind. This text does not introduce a new logical system and does not aim to modify or replace existing theories. Instead, it makes explicit the points at which self-reference inevitably arises in processes of operation and definition, and the differences in scope that become visible at those points. In Dualbind, self-reference is not treated as something to be resolved internally, but as an event that is halted, retained, and exposed—marking the moment of occurrence as a boundary. The appendix also distinguishes Russell-style self-reference from Dualbind’s Axiom 0: although both involve the term “self,” their scope, source, and design position do not coincide. 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.comLicense: CC BY 4.0

Publication details

Journal / source
Zenodo (CERN European Organization for Nuclear Research)
Publication date
14 January 2026
Language
EN