Subjectivists about practical normativity hold that an agent’s favoring and disfavoring attitudes give rise to practical reasons. On this view, an agent’s normative reason to choose vanilla over chocolate ice cream ultimately turns on facts about what appeals to her rather than facts about what her options are like attitude-independently. Objectivists—who ground reasons in the attitude-independent features of the things we aim at—owe us an explanation of why it is rational to choose what we favor, if not because favoring is (...) a source of reasons. My aim in this paper is to supply such a story. The proposal is roughly that when an agent cannot base her choices on her judgments about what she has most reason to do, structural rationality extends to her a license to choose something just because she favors it, without imbuing favoring with the authority of a normative reason. (shrink)

The motivating question of this paper is: ‘How are our beliefs in the theorems of mathematics justified?’ This is distinguished from the question ‘How are our mathematical beliefs reliably true?’ We examine an influential answer, outlined by Russell, championed by Gödel, and developed by those searching for new axioms to settle undecidables, that our mathematical beliefs are justified by ‘intuitions’, as our scientific beliefs are justified by observations. On this view, axioms are analogous to laws of nature. They are postulated (...) to best systematize the data to be explained. We argue that there is a decisive difference between the cases. There is agreement on the data to be systematized in the scientific case that has no analog in the mathematical one. There is virtual consensus over observations, but conspicuous dispute over intuitions. In this respect, mathematics more closely resembles stereotypical philosophy. We conclude by distinguishing two ideas that have long been associated -- realism (the idea that there is an independent reality) and objectivity (the idea that in a disagreement, only one of us can be right). We argue that, while realism is true of mathematics and philosophy, these domains fail to be objective. One upshot of the discussion is that even questions of fundamental physics may fail to be objective in roughly the sense that the question, ‘Is the Parallel Postulate is true?’, understood as one of pure mathematics, fails to be. Another is a kind of pragmatism. Factual questions in mathematics, modality, logic, and evaluative areas go proxy for non-factual practical ones. -/- . (shrink)