In this paper, I provide an account of subjective epistemic obligations. In instances of peer disagreement, one possesses at least two types of obligations: objective epistemic obligations and subjective epistemic obligations. While objective epistemic obligations, such as conciliationism and remaining steadfast, have been much discussed in the literature, subjective epistemic obligations have received little attention. I develop an account of subjective epistemic obligations in the context of worldview disagreements. In recent literature, the notion of worldview disagreement has been receiving increasing (...) attention, and I discuss how understanding worldview disagreements through different classes of beliefs might clarify our understanding of subjective epistemic obligations. I first distinguish between three classes of beliefs, by virtue of their justificatory functions within worldviews: fundamental, crucial and incidental. I then discuss four kinds of worldview disagreements based on this account. Finally, I argue that each disagreement results in different subjective epistemic obligations for each disputant. I conclude by discussing some implications this analysis has for issues such as defeat, peerhood, and epistemic injustice. (shrink)

Disagreements that resist rational resolution, often termed “deep disagreements”, have been the focus of much work in epistemology and informal logic. In this paper, I argue that they also deserve the attention of philosophers of mathematics. I link the question of whether there can be deep disagreements in mathematics to a more familiar debate over whether there can be revolutions in mathematics. I propose an affirmative answer to both questions, using the controversy over Shinichi Mochizuki’s work on the abc conjecture (...) as a potential example of both phenomena. I conclude by investigating the prospects for the resolution of mathematical deep disagreements in virtue-theoretic approaches to informal logic and mathematical practice. (shrink)