List of things to read

Justin Clarke-Doane: Disagreement in Mathematics
David Enoch: An Argument for Robust Metanormative Realism (at least part of it)
Soloman Feferman: The development of programs for the foundations of math
Peter Koellner: Truth in math: the question of pluralism

Need to find: paper on Mackie's argument from disagreement, and need to think more carefully about Mackie's argument from queerness and how that would apply to mathematical objects. Need to think more about the indispensability argument.

Here's one way that the proposal could look:

Introduction: similarities between the challenges to realism in math and ethics, and the similarity of approaches in defending realism, this thesis aims to show the fruitfulness of thinking this through more systematically by looking at arguments in math and ethics that haven't been applied to the other, thinking about whether they can be applied and what the major differences moving things around is.
Chapter 1: Argument from disagreement and queerness in Math
Chapter 2: Indispensability argument in ethics
Chapter 3: What are the significant differences between math and ethics that are exposed from this analysis?