Gilles Deleuze was one of the most influential philosophers of the twentieth-century, and Smith is widely recognized to be one of his most penetrating interpreters, as well as an important philosophical voice in his own right. Combining his most important pieces over the last fifteen years along with two new essays, this book is Smith 's definitive treatise on Deleuze. The essays are divided into four sections, which cover Deleuze's use of the history of philosophy, an overview of his philosophical (...) system, an analysis of several Deleuzian concepts, as well as an assessment of his position within contemporary philosophy. (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)