In this article, I vindicate the longstanding intuition that the Stoics are transitional figures in the history of ethics. I argue that the Stoics are committed to thinking that the ideal of human happiness as a life of virtue is impossible for some people, whom I dub ‘hopeless fools.’ In conjunction with the Stoic view that everyone is subject to the same rational requirements to perform ‘appropriate actions’ or ‘duties’ (kathēkonta/officia), and the plausible eudaimonist assumption that happiness is a source (...) of normative reasons only if it is in principle attainable, the existence of hopeless fools demonstrates that the Stoics were pluralists about the ultimate justificatory basis of rational action. Hopeless fools are required to behave just like their non-hopeless counterparts, not because doing so is conducive to their happiness, but because doing so conforms with the dictates of Right Reason. (shrink)

In this paper we examine the genealogy and transmission of moral duty in Western ethics. We begin with an uncontroversial account of the Stoic notion of the kathēkon, and then examine the pivotal moment of Cicero’s translation of it into Latin as ‘officium’. We take a deflationary view of the impact of Cicero’s translation and conclude that his translation does not mark a departure from the Stoic ideal. We find further confirmation of our deflationary position in the development of the (...) notion of ‘duty’ in Germany between the 16th and 18th centuries. We examine Pufendorf’s critique of ancient eudaimonism and his appropriation of officium, and claim that it foreshadows Kant’s rejection of Garve’s Ciceronian ethics. We demonstrate the undeniable parallels between Kant’s Groundwork and Garve’s influential translation of Cicero’s De Officiis, thereby indicating a novel way in which we should understand Cicero’s contribution to the development of modern moral philosophy. (shrink)

We provide a new interpretation of Zeno’s Paradox of Measure that begins by giving a substantive account, drawn from Aristotle’s text, of the fact that points lack magnitude. The main elements of this account are (1) the Axiom of Archimedes which states that there are no infinitesimal magnitudes, and (2) the principle that all assignments of magnitude, or lack thereof, must be grounded in the magnitude of line segments, the primary objects to which the notion of linear magnitude applies. Armed (...) with this account, we are ineluctably driven to introduce a highly constructive notion of (outer) measure based exclusively on the total magnitude of potentially infinite collections of line segments. The Paradox of Measure then consists in the proof that every finite or potentially infinite collection of points lacks magnitude with respect to this notion of measure. We observe that the Paradox of Measure, thus understood, troubled analysts into the 1880’s, despite their knowledge that the linear continuum is uncountable. The Paradox was ultimately resolved by Borel in his thesis of 1893, as a corollary to his celebrated result that every countable open cover of a closed line segment has a finite sub-cover, a result he later called the “First Fundamental Theorem of Measure Theory.” This achievement of Borel has not been sufficiently appreciated. We conclude with a metamathematical analysis of the resolution of the paradox made possible by recent results in reverse mathematics. (shrink)

The ‘black box’ in Stoic axiology refers to the mysterious connection between the input of Stoic deliberation (reasons generated by the value of indifferents) and the output (appropriate actions). In this paper, I peer into the black box by drawing an analogy between Stoic and Kantian axiology. The value and disvalue of indifferents is intrinsic, but conditional. An extrinsic condition on the value of a token indifferent is that one's selection of that indifferent is sanctioned by context-relative ethical principles. The (...) value of an indifferent that does not meet this condition is normatively silenced, such that it fails to constitute a reason for action. (shrink)