Dialetheism is the view that some contradictions are true. This is a view which runs against
orthodoxy in logic and metaphysics since Aristotle, and has implications for many of the core …

The title of this piece is not 'A Survey of Relevance Logic'. Such a project was impossible in
the mid 1980s when the first version of this article was published, due to the development of …

This book introduces the reader to relevant logic and provides it with a philosophical
interpretation. The defining feature of relevant logic is that it forces the premises of an …

I argue for the following four theses.(1) Denial is not to be analysed as the assertion of a
negation.(2) Given the concepts of assertion and denial, we have the resources to analyse …

Substructural logics are by now one of the most prominent branches of the research field
usually labelled as" nonclassical logics"-and perhaps of logic tout court. Over the last few …

* This paper came about after the happy discovery that we (authors) had independendy
stumbled on the same v-Curry paradox, the distinction between it and its original c-Curry …

One of the most dominant approaches to semantics for relevant (and many paraconsistent)
logics is the Routley–Meyer semantics involving a ternary relation on points. To some …

about logical consequence. We take it that the notion of logical consequence is irreducibly
plural in its application. That is, we take it that there are at least two distinct relations of …

This paper develops a (nontrivial) theory of cardinal numbers from a naive set
comprehension principle, in a suitable paraconsistent logic. To underwrite cardinal …

Deflationists about truth seek to undermine debates about the nature of truth by arguing that
the truth predicate is merely a device that allows us to express a certain kind of generality. I …