Festa, E., Roux, S. (2008). The Enigma of the Inclined Plane from Heron to Galileo. In: Laird, W.R., Roux, S. (eds) Mechanics and Natural Philosophy Before the Scientific Revolution. Boston Studies in the Philosophy of Science, vol 254. Springer, Dordrecht.

This article presents an interpretation of Deleuze’s concept of difference-in-itself. I argue that this is best understood as an adption of Duns Scotus’s concept of ultimate difference. After suggesting that the influence of Scotus on Deleuze extends beyond their shared commitment to the univocity of being, I turn to briefly review Deleuze’s notion of absolute difference. I proceed from there to explain Scotus’s accounts of univocity and ultimate difference, throughout noting the many stark parallels with Deleuze. On the basis of (...) this Scotistic reading of Deleuzian difference, I then show how Deleuze’s synthesis of univocal being and difference-in-itself can be uniquely situated within the fourteenth-century Scotistic disputations on the predicability of univocal being to ultimate difference. I conclude with some suggestions on possible further connections between Deleuze and medieval metaphysics which are opened up through this association of Deleuze with Scotus and the Scotistic tradition. (shrink)

John Locke’s treatment of quantity in the Essay Concerning Human Understanding is not nearly as extensive or as well-known as his treatment of quality and his distinction between primary and secondary qualities. Yet I contend that a close examination of Locke’s comments on quantity in the Essay reveals that he endorses a general theory of quantity that not only distinguishes quantities from qualities, but also plays several other important roles in his overall philosophy—particularly in his treatments of infinity and demonstrative (...) knowledge. Moreover, I argue that this theory does not appear out of thin air, but is in certain respects one and the same as the approach to quantity found in Aristotle and developed by medieval Aristotelian thinkers. Identifying the core tenets of this approach in the texts of Aristotle and medieval Aristotelians, and formulating them clearly enough to shed light on Locke’s theory of quantity in the Essay, is the principal task of this paper. (shrink)

This paper aims at a partial rehabilitation of E. A. Moody''s characterization of the 14th century as an age of rising empiricism, specifically by contrasting the conception of the natural science of psychology found in the writings of a prominent 13th-century philosopher (Thomas Aquinas) with those of two 14th-century philosophers (John Buridan and Nicole Oresme). What emerges is that if the meaning of empiricism can be disengaged from modern and contemporary paradigms, and understood more broadly in terms of a cluster (...) of epistemic doctrines concerned with the methodology of knowing, it characterizes very appropriately some of the differences between the ways in which late-medieval thinkers both understood and practised the science of psychology. In particular, whereas Aquinas thinks psychology is about reasoning demonstratively to the real nature of the soul from its evident operations (thereby assimilating psychology to metaphysics), Buridan and Oresme, both of whom doubt whether real animate natures can be known empirically, focus on giving detailed accounts of those operations themselves (thereby assimilating psychology to physics). (shrink)

The ArgumentOur understanding of the predisposing factors, the nature, and the fate of the Oxford Calculatory tradition can be significantly increased by seeing it in its social and institutional context. For instance, the use of intricate imaginary cases in Calculatory works becomes more understandable if we see the connection of these works to undergraduate logical disputations. Likewise, the demise of the Calculatory tradition is better understood in the light of subsequent efforts at educational reform.Unfortunately, too little evidence remains about the (...) Calculators and their context to enable anything like a full reconstruction of the relation of the Oxford Calculators' work to its context. Nevertheless, seeking out and fitting together the bits of information that do remain can add to our insight. Among the topics worth further research are the relation of training incalculationesto later careers in church or government, and the special features of the Calculatory tradition as a tradition consisting of multiple parallel manifestations closely interconnected with other disciplines, ranging from logic and natural philosophy to theology and medicine. (shrink)

The article investigates the role of symbolic means of knowledge representation in concept development using the historical example of medieval diagrams of change employed in early modern work on the motion of fall. The parallel cases of Galileo Galilei, Thomas Harriot, and René Descartes and Isaac Beeckman are discussed. It is argued that the similarities concerning the achievements as well as the shortcomings of their respective work on the motion of fall can to a large extent be attributed to their (...) shared use of means of knowledge representation handed down from antiquity and the Middle Ages. While the interpretation of medieval diagrams was unproblematic in the scholastic context from which they arose, in the early modern context, which was characterized by the confluence of natural philosophy and practical mathematics, it became ambiguous. It was the early modern mathematicians’ work within this contradictory framework that brought about a new conceptualization of motion which, in particular, eventually led to an infinitesimal concept of velocity. In this process, the diagrams themselves remained largely unchanged and thus functioned as a catalyst for concept development. (shrink)

Ockham’s approach to the problem of the instant of change as it is found in the Summa logicae i, chapter 5, and ii, chapter 19, is usually described as “purely logical,” narrowing the treatment of “begins” and “ceases” to simplistic cases. The aim of this paper is to complement our knowledge of Ockham’s position on the problem of the instant of change by analysing the treatment of the problem he gives in his questions on the Physics 98-101. In these passages, (...) Ockham adopts a “physical approach” in order to deal with problems related to the continuity of alteration and the production of the form of the mix from elementary qualities. To solve these problems, he is compelled to give up one of the most important claims at the basis of the logical approach that he adopted in the Summa logicae, namely that the distinction between permanent and successive entities is not relevant in the assignment of truth-conditions to propositions containing the aspectual verbs “beginning” and “ceasing.”. (shrink)

On which philosophical foundations is the attribution of numerical magnitudes to qualitative phenomena based? That is, what is the philosophical basis for attributing, through measurement operations, numbers to empirical qualities that our senses perceive in the outside world? This question, nowadays rarely addressed in such a way, actually refers to an old debate about the quantification of qualities. A historical analysis reveals that it was a major issue in the “context of discovery” of the first attempts to mathematize new fields (...) of knowledge, whereas the “context of justification” leading our contemporary perspective on such episodes often overlooks such problems. As a consequence, little attention has so far been given to tracing its emergence back to its original context, leaving in the shadows an important debate about measurement. In this respect, the work of William Stanley Jevons is worth analysis. As a preliminary step toward his ambitious project to mathematize economics, he first attempted to understand the mechanism underlying measurement in physics, through a very innovative approach. Its main merit consisted in trying to overcome the Aristotelian distinction between quantities and qualities. In this article, I will strive to highlight the significance of his work for the history of philosophy of science. (shrink)

The late fourteenth-century English Carmelite Richard Lavenham was a prolific author of Latin and vernacular treatises on logic, physics, philosophy, and theology. Among other works pertaining to natural philosophy, he authored the short Tractatus terminorum naturalium, preserved in three complete or almost complete late fourteenth- or early fifteenth-century copies, with the opening passage preserved in three other manuscripts. The text is fundamentally a redaction of the Heytesburian Termini naturales, a brief glossary of technical vocabulary of the natural philosophy and physics (...) of the Oxford Calculators, supplemented by additional textual and pictorial material. As such, Lavenham’s treatise is a specific branch of an influential tradition of school texts that took the form of elementary treatises, additional glosses, quaestio-commentaries, and excerpts. (shrink)