 Another challenge to the logic of Fitch’s paradox is mentioned in Routley (1981) and defended by Beall (2000). The thought is that the correct logic of knowability is paraconsistent. In a paraconsistent logic contradictions do not trivialize a theory, because they do not ‘explode’. That is, in a paraconsistent logic the inference from \(p \wedge \neg p\) to an arbitrary conclusion \(r\) is not valid. Owing to this consideration some contradictions are permitted and thought to be possible. 