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)

The essay casts doubt upon the view that Albert was criticizing or was dependent upon Thomas Manlevelt's logico-philosophical views, and counter argues that it is in fact Manlevelt who knows and cites Albert's views in his recently edited Porphyrian Questions, rather than vice versa. The argument for this conclusion proceeds in two stages. First, it is argued that the brief comment Albert makes about ‘conjunct descent’ in treating the definition of merely confused supposition his Perutilis Logica does not conclusively show (...) that Albert is criticizing the logico-philosophical view of Thomas Manlevelt, as the notion of ‘conjunct descent’ is already present in the work of Heytesbury. Hence, Albert may have been referring to him, since the unique contribution of Thomas Manlevelt to the definition of merely confused personal supposition appears completely unknown to Albert. Second, it is argued that the views in the Porphyrian Questions on the nature of the continuum, quantity, and disposi.. (shrink)