Historians of fourteenth-century science have long recognized the extraordinary work at both Oxford and Paris in which natural philosophy was becoming highly mathematical. The movement to subject natural philosophy to a mathematical analysis and to quantify such qualities as heat, color, and of course speed surely stands as one of the most significant aspects of late medieval science. Yet as Edith Sylla has observed, because qualities and quantities pertain to different categories in Aristotelian theory, one might expect Aristotelian theorists to (...) avoid quantifying qualities. Even more serious still, the very task of quantifying physical qualities exposes a tension in the nature of science that was discussed first by Aristotle in his Posterior Analytics. (shrink)

Both Pierre Duhem and his successors emphasized that medieval scholastics created a science of mechanics by bringing both observation and mathematical techniques to bear on natural effects. Recent research into medieval and early modern science has suggested that Aristotle's subalternate sciences also were used in this program, although the degree to which the theory of subalternation had been modified is still not entirely clear. This paper focuses on the English tradition of subalternation between 1310 and 1350, and concludes with a (...) discussion of the theory advanced by Thomas Claxton early in the fifteenth century. (shrink)

There is a widely acknowledged, albeit still imprecisely defined, connection between the ‘calculatory’ analyses of local motion developed within the fourteenth century ‘Merton School’ and Galileo Galilei's later treatment of natural motion. The present essay is intended to cast some light on the possible sources and significance of Galileo's putative familiarity with the medieval discussions through a study of the fortunes of the most typical representative of the School, Richard Swineshead. Particular attention is paid to the writings of such scholastic (...) philosophers of Galileo's day as Francisco Toledo, Francesco Piccolomini, Iacopo Zabarella, Francesco Buonamico and Scipione Chiaramonte. Somewhat unexpectedly, it emerges that such authors possessed only the most fragmentary and attenuated knowledge of Swineshead's ideas. The implications of this circumstance, especially insofar as it renders Galileo's familiarity with the Merton tradition even more problematical, are discussed briefly. (shrink)

The studies that make up this book were written and brought together to honor the memory of Jan Pinborg. His unexpected death in 1982 at the age of forty-five shocked and saddened students of medieval philosophy everywhere and left them with a keen sense of disappoint ment. In his fifteen-year career Jan Pinborg had done so much for our field with his more than ninety books, editions, articles, and reviews and had done it all so well that we recognized him (...) as a leader and counted on many more years of his scholarship, his help, and his friendship. To be missed so sorely by his international colleagues in an academic field is a mark of Jan's achievement, but only of one aspect of it, for historians of philosophy are not the only scholars who have reacted in this way to Jan's death. In his decade and a half of intense productivity he also acquired the same sort of special status among historians of linguistics, whose volume of essays in his memory is being G. L. Bursill-Hall almost simultane published under the editorship of ously with this one. Sten Ebbesen, Jan's student, colleague, and successor as Director of the Institute of Medieval Greek and Latin Philology at the University of Copenhagen, has earned the gratitude of all of us by memorializing Jan 1 in various biographical sketches, one of which is accompanied by a 2 complete bibliography of his publications. (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)

“The problem of universals” in general is a historically variable bundle of several closely related, yet in different conceptual frameworks rather differently articulated metaphysical, logical, and epistemological questions, ultimately all connected to the issue of how universal cognition of singular things is possible. How do we know, for example, that the Pythagorean theorem holds universally, for all possible right triangles? Indeed, how can we have any awareness of a potential infinity of all possible right triangles, given that we could only (...) see a finite number of actual ones? How can we universally indicate all possible right triangles with the phrase ‘right triangle’? Is there something common to them all signified by this phrase? If so, what is it, and how is it related to the particular right triangles? The medieval problem of universals is a logical, and historical, continuation of the ancient problem generated by Plato's (428-348 B.C.) theory answering such a bundle of questions, namely, his theory of Ideas or Forms. (shrink)

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.

In the summer of 1980, I was privileged to be on the teaching staff of the Summer Institute on Medieval Philosophy held at Cornell University under the direction of Norman Kretzmann and the auspices of the Council for Philosophical Studies and the National Endowment for the Humanities. While I was giving a series of lectures on supposition theory, I went to my office one morning, and there under the door some anonymous wag from the Institute had slid the pen and (...) ink drawing you see in the graphic. It represents "Supposition" as a dragon, making a rude face at the viewer. The tail of the dragon is divided — not entirely accurately, as it turns out — into the various branches and subbranches of supposition. If the details are not altogether correct, the spirit is certainly understandable. I have absolutely no idea who the inspired artist was, but I have the original framed on the wall in my office. (shrink)

The “dragon” that graces the cover of this volume has a story that goes with it. In the summer of 1980, I was on the teaching staff of the Summer Institute on Medieval Philosophy held at Cornell University under the direction of Norman Kretzmann and the auspices of the Council for Philosophical Studies and the National Endowment for the Humanities. While I was giving a series of lectures there (lectures that contribute to this volume, as it turns out), I went (...) to my office one morning, and there under the door some anonymous wag from the Institute had slid the pen and ink drawing you see in the picture. It represents “Supposition” as a dragon, making a rude face at the viewer. The tail of the dragon is divided — not entirely accurately, as it turns out — into the various branches and subbranches of supposition. If the details are not altogether correct, the spirit is certainly understandable. (shrink)