One of the difficulties facing the philosopher of science today is the divide between historical epistemology and analytic philosophy of science. For over half a century these two traditions have followed independent and divergent paths. Historical epistemology, which originated in France in the early twentieth century, has recently been reformulated by a number of scholars such as Lorraine Daston, Ian Hacking, and Hans-Jörg Rheinberger. Elaborating novel historical methods, they seek to provide answers to major questions in the field. In the (...) light of this situation, my article examines the cultural barrier that explains the uneasy relationship between the two traditions. This barrier hinges on a number of factors—institutional, political and social—that are bound up with the philosophical issues in question. By resorting both to historical study and logical analysis, the new historical epistemology incites us to move beyond a rather sterile antagonism. (shrink)

The collection Virtual Mathematics: the logic of difference brings together a range of new philosophical engagements with mathematics, using the work of French philosopher Gilles Deleuze as its focus. Deleuze’s engagements with mathematics rely upon the construction of alternative lineages in the history of mathematics in order to reconfigure particular philosophical problems and to develop new concepts. These alternative conceptual histories also challenge some of the self-imposed limits of the discipline of mathematics, and suggest the possibility of forging new connections (...) between philosophy and more recent developments in mathematics. This component of Deleuze’s work has, to date, been rather neglected by commentators working in the field of Deleuze studies. One of the aims of this collection is to address this critical deficit by providing a philosophical presentation of Deleuze’s relation to mathematics; one that is adequate to his project of constructing a philosophy of difference and to the exploration of some of its applications. This project developed as a result of encounters with an increasing number of researchers who have been working on the mathematical aspects of Deleuze’s work and the key role that these play in his philosophy. By bringing this work together for the first time, this collection makes an important contribution to the emerging body of work that endeavours to explore the broad range of Deleuze’s philosophy. (shrink)