the liar paradox: a resolution via Saladini's theorem

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Authors: Gabriele Saladini
Cited by: 0

Abstract

This paper provides a formal resolution of the Liar Paradox by applying the Saladini Theorem to self-referential statements. It demonstrates that the paradox arises from the false assumption of infinite logical nesting. • Finite Capacity: No agent can process the infinite logical steps required by absolute self-reference. • Logical Nullification: Contradictions from infinite nesting are non-operational for finite observers. • Systemic Collapse: Within a finite domain, the paradox collapses and becomes logically null. By identifying the Critical Comprehension Threshold, this work renders the paradox irrelevant for finite agents.

Fields of Study & Subjects

Logic Reasoning and Knowledge Philosophy and Theoretical Science Epistemology Ethics and Metaphysics

Publication details

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