Berry's Paradox: Resolution via Saladini's Theorem
Abstract
This paper provides a formal resolution of Berry's Paradox. It applies the Saladini Theorem to show that unbounded definability is a logical impossibility for finite agents.-Finite Capacity: No agent can fully process infinite layers of self-referential definitions.-Logical Nullification: Contradictions from unbounded definability are inaccessible to finite observers.-Systemic Collapse: The paradox collapses within the domain of finite comprehension.
Fields of Study & Subjects
Computability
Logic
AI Algorithms
Reasoning
and Knowledge
Philosophy and Theoretical Science
Publication details
- Journal / source
- Zenodo (CERN European Organization for Nuclear Research)
- Publication date
- 17 February 2026
- Language
- EN