paradoxón

Paradoxón is a term used in philosophy and puzzle literature to denote a class of paradoxes that center on self-reference and deliberate circularity, resisting straightforward resolution within classical logical systems. It is a neologism that emphasizes the intricate or “grand” nature of certain paradoxes rather than a single, fixed problem.

Origin and scope: The word paradoxón is not part of a standardized academic taxonomy. It appears in debates and experimental writings about the limits of truth predicates, self-reference, and the boundaries of classical logic. As a concept, it is used more as a descriptive label for paradoxes whose resolution requires moving beyond traditional bivalent logic or adopting alternative frameworks.

Definition and characteristics: A paradoxón arises when a statement, rule, or construct generates a paradox through self-reference, circular definitions, or recursive criteria. The key feature is that any attempt to classify or validate the object leads to a contradiction within ordinary logical systems, prompting examination of the underlying assumptions, language, or rules involved.

Examples and usage: In theoretical discussions, the paradoxón may take the form of a self-referential statement such as “Este enunciado es paradoxón,” or other rules that apply to themselves in a way that creates an inescapable impasse. In puzzle design or fiction, paradoxones are used to illustrate the limitations of inference, to explore alternative logics, or to challenge readers’ expectations about truth, proof, and consequence.

See also: Paradox, Liar paradox, Russell’s paradox, Self-reference, Non-classical logics.