My doctoral research was supervised by Keith Hossack and Øystein Linnebo.
The PhD thesis looked at plural interpretations of second-order logic. In particular, I cast doubt on the commonplace claim that the modal behaviour of plurals renders them unsuitable to interpret predicates. My work on this has been engaged with by leading philosophers. At the formal end of things: I showed that widely assumed principles about the modal behaviour of plurals are independent of the most obvious pluralisations of normal quantified modal logic.
My thesis also developed a system permitting quantification over the semantic values of ordered lists, which can be used to interpret polyadic second-order logic, and discussed the relationship of plural logic to set-theory.
Ex falso nihil
I work on philosophical and formal aspects of the less explored variants of paraconsistent logics which validate ex falso nihil (from a contradiction, no proposition whatsoever may be inferred). Quite apart from being a relatively uncharted part of logic, these are of historical interest (since EFN enjoyed wide assent in ancient and medieval logic), have potential applications in computer science and mathematics, and raise philosophical questions about reasoning under inconsistent suppositions.
Mind, Language, and World
I defend a word-first account of content and am exploring the links between this and questions about thought (for instance, the extent to which non-linguistic animals can be said to think) and metaphysics (if our representation of the world always proceeds via language, how does this affect, say, realism debates in various domains?
Philosophy of Religion/ Analytic theolog
At the moment I'm working on apophatic theology, a form of theology which claims there are radical limits to what can be appropriately said of God. In spite of its historical place in many major religious traditions, this kind of theology has been either ignored or denigrated by philosophical thinkers within the analytic tradition. I'm keen to encourage philosophical interest in the Dominican thinker Herbert McCabe, particularly with respect to his thought on the interaction between religion and politics. I recently co-editing a special issue of the International Journal of Philosophy and Theology on the philosophy of living religion with Tasia Scrutton. I'm writing a dialogue on apophaticism in the thomist and Maimonidean traditions with Sam Lebens.