The analysis develops a logical framework to evaluate paradoxes, suggesting a new way to understand their nature.
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.
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Mahdi Mahmoudy (2026) studied this question.
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