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 am currently working on an edition and English translation of the treatise on insolubles (that is, logical paradoxes) from Paul of Venice's Logica Magna, working from the sole extant manuscript (Vatican lat. 2132) and the 1499 incunabulum. I am also planning editions and translations of the Insolubilia treatises of Walter Segrave and John Dumbleton.
The Cambridge Companion to Medieval Logic, which Catarina Dutilh Novaes and I edited, has just appeared (September 2016).
From the summer of 2015, I have been leading a new Arché research group on History and Philosophy of Logic and Mathematics. The first HPLM workshop was on Inferentialism (25-26 November 2015). The second was held in Oslo on 7-8 June 2016, jointly organised with the Department of Philosophy at the University of Oslo, on Cardinality, Worlds and Paradox. The next workshop will be in May 2017 on the topic of Proofs of Propositions (probationes propositionum) in 14th-century Logic.
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. Subsequently, I led the MMM Arché project (Models, Modality and Meaning, 2012-15).
My new English translation with Introduction of John Buridan's Treatise on Consequences (a translation of Hubien's 1976 edition of the Latin text Tractatus de Consequentiis) appeared at the end of 2014 with Fordham UP. Sten Ebbesen has recently reviewed it in Notre Dame Philosophical Reviews. Here is a list of corrections and improvements.
An earlier 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. Here is a list of corrections and improvements.
An interview (End Times: medieval matters) with Richard Marshall was published in 2014 in 3:AM Magazine.
slr at st-and dot ac dot uk