The Moral Realism Debate Meets the Mathematical Realism Debate

Abstract

I raise objections to mathematical and moral realism according to which, respectively, some mathematical and moral statements are rendered true by mathematical and moral facts in the abstract world. I also raise objections to mathematical and moral fictionalism according to which, respectively, mathematical and moral statements are all false. I argue that just as mathematical inferentialism has advantages over mathematical realism and fictionalism, so moral functionalism has advantages over moral realism and fictionalism.