I am interested in several topics related to the philosophy of mathematics and logic, including: (i) Aristotle’s views on mathematics, demonstration, and the infinite, (ii) logical anti-exceptionalism and its relation to pluralism, and (iii) how to characterize indefinite extensibility and its role in mathematics/logic. I am currently working on drafts of papers on an irresolvable tension in Aristotle’s view of the potential infinite and on a type of pluralism about the pre-theoretic notion of the infinite. If interested, please email me for the current draft of either.
My dissertation was entitled, Logic in Accounts of the Potential and Actual Infinite (abstract).
Committee: Achille Varzi, Haim Gaifman (co-sponsors), Wolfgang Mann, John Morrison, Marko Malink.