I am a PhD Student in the Philosophy Department at the University of Connecticut.
My primary research interests are logic, metaphysics, and early modern philosophy.
My dissertation is on the subject of Descartes on necessity. Much of Descartes' writing indicates that necessary truths play an important role in his foundational epistemological project. However, famously, he holds a thesis commonly called the creation doctrine, according to which God could have made any necessary truth false. This makes it appear as though every necessary truth could be false, which is at least a tension, if not an outright contradiction. In the dissertation, I bring current formal tools in modal logics to provide an account of Descartes' overall doctrine as regards modality, with an attempt to render his total view coherent. This has some ramifications for the treatment of counter-mathematical and counter-logical conditionals, as these are the claims Descartes gives as examples to illustrate the creation doctrine.
In addition, I am interested in relevant, paraconsistent logics and the ternary relation semantic framework. This includes inconsistent mathematics, substructural solutions to the set-theoretic and semantic paradoxes, and broadly situation-theoretic interpretations of the ternary relation semantic framework.
I don't have an Erdos number, but I can provide you with my: