This Paper is Wrong

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Authors: Mahdi Mahmoudy
Cited by: 0

Abstract

This paper develops a constructed logical framework for analysing paradoxes by examining the conditions under which a sentence or definition succeeds in forming an evaluable claim. Rather than treating paradox as a uniform phenomenon or as evidence of inconsistency in truth, reference, or logic itself, the framework distinguishes between constructions that admit evaluation and those that fail prior to it. Within this framework, paradoxes are not resolved by altering truth values or inference rules, but by determining whether the relevant construction satisfies minimal structural requirements for admissibility. The framework is applied to semantic, set-theoretic, and definitional cases to show how formally similar paradoxes can be handled uniformly without modifying classical truth where evaluation is permitted. The title reflects this aim: the analysis is intended to decide, in each case, whether a construction is paradoxical at all.

Fields of Study & Subjects

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

Publication details

Journal / source
Zenodo (CERN European Organization for Nuclear Research)
Publication date
31 January 2026
Language
EN
Document type
Preprint