This book is an exploration and defense of the coherence of classical theism’s doctrine of divine aseity in the face of the challenge posed by Platonism with respect to abstract objects. A synoptic work in analytic philosophy of religion, the book engages discussions in philosophy of mathematics, philosophy of language, metaphysics, and metaontology. It addresses absolute creationism, non-Platonic realism, fictionalism, neutralism, and alternative logics and semantics, among other topics. The book offers a helpful taxonomy of the wide range of options (...) available to the classical theist for dealing with the challenge of Platonism. It probes in detail the diverse views on the reality of abstract objects and their compatibility with classical theism. It contains a most thorough discussion, rooted in careful exegesis, of the biblical and patristic basis of the doctrine of divine aseity. Finally, it challenges the influential Quinean metaontological theses concerning the way in which we make ontological commitments. (shrink)

Evangelista Torricelli is perhaps best known for being the most gifted of Galileo’s pupils, and for his works based on indivisibles, especially his stunning cubature of an infinite hyperboloid. Scattered among Torricelli’s writings, we find numerous traces of the philosophy of mathematics underlying his mathematical practice. Though virtually neglected by historians and philosophers alike, these traces reveal that Torricelli’s mathematical practice was informed by an original philosophy of mathematics. The latter was dashed with strains of Thomistic metaphysics and theology. Torricelli’s (...) philosophy of mathematics emphasized mathematical constructs as human-made beings of reason, yet mathematical truths as divine decrees, which upon being discovered by the mathematician ‘appropriate eternity’. In this paper, I reconstruct Torricelli’s philosophy of mathematics—which I label radical mathematical Thomism—placing it in the context of Thomistic patterns of thought.Keywords: Evangelista Torricelli; Thomism; Eternity; Indivisibles; Proportions. (shrink)

I offer a novel reading in this dissertation of René Descartes’s (1596–1650) skepticism in his work Meditations on First Philosophy (1641–1642). I specifically aim to answer the following problem: How is Descartes’s skepticism to be read in accordance with the rest of his philosophy? This problem can be divided into two more general questions in Descartes scholarship: How is skepticism utilized in the Meditations, and what are its intentions and relation to the preceding philosophical tradition? -/- I approach the topic (...) from both a historical and a text-based analysis, combining textual and contextual research. I examine Descartes’s skepticism against two main traditions in the historical analysis: philosophical skepticism and Aristotelian Scholasticism. I argue that skepticism in the Meditations is intended to oppose and upheave both Scholasticism and skepticism. The intended results of the work are not merely epistemological but also metaphysical and even ethical. Furthermore, these ambitions cannot be neatly distinguished but merge into each other. -/- The third historical context against which the skeptical meditations are examined is the literary genre of meditative exercises, particularly from the 1500–1600’s, which, while religiously and spiritually oriented, likewise provided the practitioner with an enlightened understanding of self-knowledge and their cognitive place in the world on the way to closer spiritual proximity to God. I argue by this reading that the skepticism of the Meditations is an attentive, meditational cognitive exercise that is not merely instrumental and methodological but is to have a genuine and serious (psychologically real) effect on our thinking. The skeptical meditation is not simply a theoretical thought experiment but is to be seriously practiced as a transformative process of reorienting one’s cognitive framework to discover truth, certainty, and a way to a happy, tranquil, and virtuous life. -/- I offer a close reading in the textual analysis of the first three meditations of the Meditations. I argue that the meditative skepticism employed in the work does not reject the previous beliefs but suspends judgment on them, withdrawing assent until further evidence can be found. I introduce a new term into Descartes scholarship in this analysis, based on the terminology of ancient skepticism: Cartesian epochē (gr. epochē, suspension, withdrawal). Instead of rejecting previous beliefs or assenting to the probably false, the skeptical procedure of the Meditations is argued to emulate in important ways the suspension of judgment on equally balanced reasons in ancient Pyrrhonian skepticism. Novel interpretations are presented along the way of the will’s freedom, of the First Meditation’s skeptical scenarios, of the cogito, and of the vindication of metaphysical certainty, as well as a clarification of the Cartesian Circle problem. -/- Reinterpreting the relation of Descartes’s skepticism to the preceding historical and literary traditions leads to a new look at the skeptical method itself. Presenting a new interpretation of skepticism in the Meditations leads at the same time to a new look at its relation to the historical context. The two research questions are, then, intrinsically tied together. -/- My focus in the study is on the Meditations, but I also reference and discuss Descartes’s other philosophical works, as well as his correspondence, when necessary. (shrink)