My research lies primarily at the intersection of philosophy of mathematics and epistemology. I am especially interested in whether mathematical knowledge might fail to be a priori, as well as related issues concerning fallibility, defeasibility, and the notion of mathematical rigor.

In this paper, I argue against the increasingly influential fallibilist view on mathematical justification and defend infallibilism. Specifically, I examine the fallibilist account offered by De Toffoli (2021), which is the most developed version in the literature. From the objections emerges the positive view that I go on to develop and defend, which is a bi-level theory of mathematical epistemology. Based on my picture, I then advocate an infallibilist view of mathematical justification.

18th Cambridge Graduate Conference on the Philosophy of Mathematics and Logic, Cambridge, United Kingdom, Jan. 2025.