This paper offers a caution that emphasis upon the importance of mathematics in recent historiography is in danger of obscuring the historical fact that, for the most part, mathematics was not seen as important in the pre-modern period. The paper proceeds by following a single case study, and in so doing offers the first account of the mathematical writings of Jean Fernel (1497–1558), better known as a leading medical innovator of the 16th century. After establishing Fernel's early commitment to mathematics, (...) and attempt to forge a career as a cosmographer, it goes on to explain his abandonment of mathematics for a career in medicine. The ‘mathematization of the world picture’ is usually explained in terms of the perceived usefulness of mathematics, but Fernel's case shows that for many pre-modern thinkers mathematics was not regarded as a useful pursuit. The paper should serve as a reminder, therefore, that the take-up of mathematics by natural philosophers was by no means inevitable, but had to be carefully managed by early modern mathematical practitioners. The case of Fernel indicates that perhaps he was not the only would-be mathematical practitioner to abandon mathematics in favour of a calling that was more appreciated by contemporaries. (shrink)

I argue that the imagination was a crucial concept for the understanding of marvellous phenomena, divination and magic in general. Exploring a debate on prophecy at the turn of the seventeenth century, I show that four explanatory categories were consistently evoked and I elucidate the role of the imagination in each of them. I introduce the term ‘floating concept’ to conceptualise the different ways in which the imagination and the related ‘animal spirits’ were understood in diverse discourses. My argument is (...) underpinned with a general discussion of the imagination, after which I focus on a unorthodox tradition which attributed special powers to this internal faculty. Many physicians had explained psychosomatic phenomena by referring to the influence of the imagination on the human body; but some philosophers held that the imagination could also exert power over external objects. During the renaissance these theories acquired negative associations and became linked with illicit magic. Furthermore, I show that the relation between both animal spirits and imagination, and the power of the latter over external bodies, points to the importance of a ‘history of vapours’; and this suggests an adjustment to Keith Hutchison’s argument on occult qualities in mechanical philosophy. The accompanying paper gives more evidence of these claims and elaborates on the relation between the natural and the moral. (shrink)