Aristotle’s On generation and corruption raises a vital question: how is mixture, or what we would now call chemical combination, possible? It also offers an outline of a solution to the problem and a set of criteria that a successful solution must meet. Understanding Aristotle’s solution and developing a viable peripatetic theory of chemical combination has been a source of controversy over the last two millennia. We describe seven criteria a peripatetic theory of mixture must satisfy: uniformity, recoverability, potentiality, equilibrium, (...) alteration, incompleteness, and the ability to distinguish mixture from generation, corruption, juxtaposition, augmentation, and alteration. After surveying the theories of Philoponus (d. 574), Avicenna(d. 1037), Averroes (d. 1198), and John M. Cooper (fl. circa2000), we argue for the merits of Richard Rufus of Cornwall’s theory. Rufus (fl. 1231–1256) was a little known scholastic philosopher who became a Franciscan theologian in 1238, after teaching Aristotelian natural philosophy as a secular master in Paris. Lecturing on Aristotle’s De generatione et corruptione, around the year 1235, he offered his students a solution to the problem of mixture that we believe satisfies Aristotle’s seven criteria. # 2004 Elsevier Ltd. All rights reserved. (shrink)

By way of conclusion we may add the following three items to A. Maier's and G. Federici-Vescovini's investigations: 1. The Questiones super libris Physicorum in the ms. Cesena, B. Malatestiana S.VIII.5 have been incorrectly attributed to John Buridan. Their real author is Albert of Saxony. 2. The ms. Cesena, B. Malatestiana S.VIII.5 ff. 4ra-4vb contains the Prologue and the tabula questionum of the Questions on De gen. et corr., whereas the ms. Vat. lat. 3097 ff. 103ra-146rb has the complete text. (...) This Prologue and the questions 1 and 3 can also be found in Vat. lat. 2185 ff. 50ra-50vb. This text certainly cannot be considered as another copy of Buridan's well known Questions on De gen. et corr. Neither is it certain that Nicole Oresme is their author, as A. Maier seems to believe. There are indications pointing in the direction of a redaction other than the one known, of Buridan's Questions. In any case this possibility cannot be ruled out by the material that has been presented here. 3. The ms. Cesena, B. Malatestiana S.VIII.5 has at one time had the same owner as the codices Vat. lat. 2159, 2160, 2185 and 3066, and the codices Cesena, B. Malatestiana S.VII.5 and S.VIII.2. This owner was in all probability Bernardus a Campanea of Verona, a physician. (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)

This paper presents Duns Scotus’s theory of mixture in the context of medieval discussions over Aristotle’s theory of mixed bodies. It revisits the accounts of mixture given by Avicenna, Averroes, and Thomas Aquinas, before presenting Scotus’s account as a reaction to Averroes. It argues that Duns Scotus rejected the Aristotelian theory of mixture altogether and that his account went contrary to the entire Latin tradition. Scotus denies that mixts arise out of the four classical elements and he maintains that both (...) the elemental forms and the elemental qualities are lost in the mixture. Consequently, he denies the distinction between the process of mixture and that of substantial change through generation and corruption. The reassessment of Scotus’s account modifies the current historical representation of this discussion, inherited from Anneliese Maier. (shrink)

This paper investigates the relationship between some corpuscularian and Aristotelian strands that run through the thought of the sixteenth-century philosopher and physician Julius Caesar Scaliger. Scaliger often uses the concepts of corpuscles, pores, and vacuum. At the same time, he also describes mixture as involving the fusion of particles into a continuous body. The paper explores how Scaliger’s combination of corpuscularian and non-corpuscularian views is shaped, in substantial aspects, by his response to the views on corpuscles and the vacuum in (...) the work of his contemporary, Girolamo Fracastoro. Fracastoro frequently appears in Scaliger’s work as an opponent against whom numerous objections are directed. However, if one follows up Scaliger’s references, it soon becomes clear that Scaliger also shares some of Fracastoro’s views. Like Scaliger, Fracastoro suggests corpuscularian explanations of phenomena such as water rising in lime while at the same time ascribing some non-corpuscularian properties to his natural minima. Like Scaliger, Fracastoro maintains that there is no vacuum devoid of bodies since places cannot exist independently of bodies (although their opinions diverge regarding how exactly the relevant dependency relation might be explicated). Finally, like Scaliger, Fracastoro connects a continuum view of mixture with a theory of natural minima. (shrink)