My main research interest remains the notion of logical consequence; and extends from medieval theories in the philosophy of language, mind and logic, to the more modern concerns of relevance logic and the philosophy of logic, in particular, proof-theoretic semantics and the semantic paradoxes.
I was the Principal Investigator in an Arché research project, funded by the Arts and Humanities Research Council (AHRC) on the Foundations of Logical Consequence. This project started in January 2009 and concluded in June 2012.
From the summer of 2012, I have been leading a new Arché project on Models, Modality and Meaning.
A previous project was an examination of Bradwardine’s discussion of insolubles and the Liar paradox. I prepared a new edition and English translation of Bradwardine’s Latin text from the thirteen known manuscripts. The work appeared in May 2010 as volume 10 in the series Dallas Medieval Texts and Translations published by Peeters.
My new English translation with Introduction of John Buridan's Treatise on Consequences will appear with Fordham UP in 2014. I reviewed the existing English translation in Vivarium 25 (1987), pp. 154-7.
slr at st-and dot ac dot uk