Dissolving the Paradoxicality Paradox

Non-classical solutions to semantic paradox can be associated with conceptions of paradoxicality understood in terms entailment facts. In a K3-based theory truth, for example, it is prima facie natural say that sentence φ paradoxical iff ∨ ¬φ entails an absurdity. recent paper, Julien Murzi and Lorenzo Rossi exploit this idea introduce revenge paradoxes number non-classical approaches, including K3. I show on no understanding ‘is paradoxical’ (for K3) should both rules needed their expected hold unrestrictedly. Just which rule fails, however, depends various factors, whether the derivability relation target system reasoning arithmetically definable.