In the 1680s, Gottfried Leibniz and Antoine Arnauld engaged in a philosophically rich correspondence. One issue they discuss is modal metaphysics – questions concerning necessity, possibility, and essence. While Arnauld's contributions to the correspondence are considered generally astute, his contributions on this issue have not always received a warm treatment. I argue that Arnauld's criticisms of Leibniz are sophisticated and that Arnauld offers his own Cartesian account in its place. In particular, I argue that Arnauld offers an account of possibility (...) that is actualist, modal actualist and essence-based. (shrink)

In the latter half of the 17th century, Antoine Arnauld was a public and private defender of many of the central tenets of Cartesianism. Yet, one issue on which he is surprisingly silent is René Descartes’ claim that God freely created the eternal truths (the Creation Doctrine). Despite Arnauld’s evasion of the issue, whether he holds the Creation Doctrine is one of the most contested issues in Arnauld scholarship. In this paper I offer an interpretation of Arnauld’s position. I argue (...) that Arnauld does not hold what I call the metaphysical version of the Creation Doctrine according to which God in fact freely created the eternal truths. Rather, he holds what I call the epistemic version of the Creation Doctrine according to which we cannot know whether God freely created the eternal truths. (shrink)

This paper examines the ethical and religious dimensions of mathematical practice in the early modern era by offering an interpretation of Antoine Arnauld and Pierre Nicole’s Nouveaux éléments de géométrie. According to these important figures of seventeenth-century French philosophy and theology, mathematics could achieve extra-mathematical or non-mathematical goals; that is, mathematics could foster practices of moral self-improvement, deepen the mathematician’s piety and cultivate epistemic virtues. The Nouveaux éléments de géométrie, which I contend offers the most robust account of the virtues (...) cultivated by mathematics in the period, was envisaged by its authors to cultivate moral, Christian and epistemic virtues that could serve in the fulfilment of moral and Christian obligations. In this paper, I set out the goals of mathematical inquiry for the Port-Royalists and describe the specific virtues they believed a revised edition of the Elements of Euclid could foster. I show that Arnauld and Nicole believed that an acquaintance with mathematics could render a student of Euclid more just, truth-loving, attentive and humble, and better able to discern truth from falsity. (shrink)

In this paper, I defend a novel interpretation of Antoine Arnauld’s conception of God, namely a ‘partially hidden’ conception of God. I focus on divine simplicity and whether God acts for reasons. I argue that Arnauld holds the view that: God, God’s action and God’s attributes are (i) identical, and (ii) conceptually distinct, but that (iii) there are no conceptual priorities among them. Next, I argue that Arnauld’s view about whether God has any type of reasons is agnosticism, but that (...) there are certain types of reasons we know that God does not have, e.g., practical reasons. (shrink)