It is an essential part of Kant's conception of regulative principles and ideas that those principles and ideas are in a certain sense indeterminate. The relevant sense of indeterminacy is cashed out in a section in the Antinomies where Kant says that the regress of conditions of experience forms not a “regressus in infinitum” but a “regressus in indefinitum.” The mathematics that Kant appears to rely on in making this distinction turns out to be problematic, as Jonathan Bennett showed long (...) ago. But I suggest that despite this, there is another mathematically legitimate way to make Kant's point, one enunciated by, among others, Michael Dummett. This reading is corroborated, I suggest, by Kant's conception of reason as a radically open-ended endeavor. -/- . (shrink)

It can be shown by means of a paradox that, given the Principle of Sufficient Reason, there is no conjunction of all contingent truths. The question is, or ought to be, how to interpret that result: _Quid sibi velit?_ A celebrated argument against PSR due to Peter van Inwagen and Jonathan Bennett in effect interprets the result to mean that PSR entails that there are no contingent truths. But reflection on parallels in philosophy of mathematics shows it can equally be (...) interpreted either as a proof that there are "too many" contingent truths to combine in a single conjunction or as a proof that the concept _contingent truth_ is indefinitely extensible and there is no such thing as "all contingent truths." Either interpretation would reconcile PSR with contingent truth, but the natural rationales of those interpretations are at odds. This essay argues that the second interpretation is a more satisfactory explanation of why, if PSR is true, there should be no conjunction of all contingent truths. This sheds new light on the nature of the explanatory demand embedded in PSR and uncovers a number of surprising implications for the commitments of rationalism. (shrink)

If one answers the question ‘What is G-ness?’ with a biconditional of the form ‘x is G iff x is F,’ one can ask whether x is G because it is F, or whether x is F because it is G. This question, known as The Euthyphro Question, invites one to choose between one of two options which are presented as mutually exclusive and jointly exhaustive: either x is G because it is F, or x is F because it is (...) G but not both. Each answer has its attractions and difficulties. The _Euthyphro Problem_ is the problem of choosing one rather than the other. This paper argues that holism in the theory of reasons — a view developed by Jonathan Dancy in a different context and for a different purpose — provides a novel and elegant solution to this age-old problem. (shrink)

The existing literature on the rational underdetermination problem often construes it as one resulting from the ubiquity of objective values. It is therefore sometimes argued that subjectivists need not be troubled by the underdetermination problem. But on closer examination, it turns out, they should. Or so I will argue. The task of the first half of this paper is explaining why. The task of the second half is finding a subjectivist solution the rational underdetermination problem. The basic problem, I argue, (...) is as follows. Idealizing subjectivism generates too many ideal selves to deliver determinate or commensurable options regarding what non-ideal deliberating agents ought to do. My solution: these idealized options should be assessed from the only perspective we can, in fact, occupy, namely, that of our non-ideal, actual selves. Deciding what to do therefore becomes, in part, an exercise in deciding who to be. But one might now worry this just moves the arbitrariness bump in the rug. Privileging the perspective of our actual self seems contrary to the rationale for idealizing in the first place. I consider two solutions to the problem, one democratic, the other modelled on trusteeship. In the end, I argue, our actual self has complete freedom to choose the ideal self it grants rational authority. In the final part of the paper, I present my positive proposal as a solution to the underdetermination problem confronting the idealizing subjectivist and then argue that, so understood, this account vindicates a tidied-up version of how some reflective people already do deliberate in their everyday lives. This, in turn, suggests that a decision-procedure closely connected to the account is both possible and attractive. (shrink)