  One example is the logic Ł\(_{3}\) based on the three-valued truth-tables of Łukasiewicz (see, e.g., Priest 2008). Since it meets condition (a), Ł\(_{3}\) offers a possible response to Russell’s paradox and the Liar—in particular, a gappy response. Yet consider the iterated conditional \(\alpha {\rightarrow}(\alpha {\rightarrow}\beta)\), which we abbreviate as \(\alpha \Rightarrow \beta\). Suppose that a Curry sentence for \(\pi\) and an Ł\(_{3}\)-based theory \(\mathcal{T}\) is redefined to be any sentence \(\kappa\) intersubstitutable with \(\kappa \Rightarrow \pi\). Then \(\mathcal{T}\) will meet all the conditions of the Curry-Paradox Lemma, as was first noted by Moh (1954). Hence, as long as there is a \(\kappa\) that is intersubstitutable with \(\kappa \Rightarrow \pi\) according to \(\mathcal{T}\), then \(\vdash _{\mathcal{T}} \pi\). Consequently  Ł\(_{3}\) won’t underwrite a response to Curry’s  paradox.[22] 