Gilles Deleuze's engagements with mathematics, replete in his work, rely upon the construction of alternative lineages in the history of mathematics, which challenge some of the self imposed limits that regulate the canonical concepts of the discipline. For Deleuze, these challenges provide an opportunity to reconfigure particular philosophical problems - for example, the problem of individuation - and to develop new concepts in response to them. The highly original research presented in this book explores the mathematical construction of Deleuze's philosophy, as well as addressing the undervalued and often neglected question of the mathematical thinkers who influenced his work. In the wake of Alain Badiou's recent and seemingly devastating attack on the way the relation between mathematics and philosophy is configured in Deleuze's work, Simon B.Duffy offers a robust defence of the structure of Deleuze's philosophy and, in particular, the adequacy of the mathematical problems used in its construction. By reconciling Badiou and Deleuze's seemingly incompatible engagements with mathematics, Duffy succeeds in presenting a solid foundation for Deleuze's philosophy, rebuffing the recent challenges against it.

The philosophy of Gilles Deleuze is increasingly gaining the prestige that its astonishing inventiveness calls for in the Anglo-American theoretical context. His wide-ranging works on the history of philosophy, cinema, painting, literature and politics are being taken up and put to work across disciplinary divides and in interesting and surprising ways. However, the backbone of Deleuze's philosophy - the many and varied sources from which he draws the material for his conceptual innovation - has until now remained relatively obscure and unexplored. This book takes as its goal the examination of this rich theoretical background. Presenting essays by a range of the world's foremost Deleuze scholars, and a number of up and coming theorists of his work, the book is composed of in-depth analyses of the key figures in Deleuze's lineage whose significance - as a result of either their obscurity or the complexity of their place in the Deleuzean text - has not previously been well understood. This work will prove indispensable to students and scholars seeking to understand the context from which Deleuze's ideas emerge.Included are essays on Deleuze's relationship to figures as varied as Marx, Simondon, Wronski, Hegel, Hume, Maimon, Ruyer, Kant, Heidegger, Husserl, Reimann, Leibniz, Bergson and Freud.

Leading thinkers in mathematics, philosophy and education offer new insights into the fundamental question: what is a mathematical concept?

The first critical appraisal of Deleuze and Serre's 'joint' conception of time and history.

This book posits that a singular paradigm in social theory can be discovered by reconstructing the conceptual grammar of Gabriel Tarde’s micro-sociology and by understanding the ways in which Gilles Deleuze’s micro-politics and Michel Foucault’s micro-physics have engaged with it. This is articulated in the infinite social multiplicity-invention-imitation-opposition-open system. Guided by infinitist ontology and an epistemology of infinitesimal difference, this paradigm offers a micro-socio-logic capable of producing new ways of understanding social life and its vicissitudes. In the field of social theory, this can be called the infinitesimal revolution.

Engaging with the challenging and controversial reading of Spinoza presented by Gilles Deleuze in Expressionism in Philosophy (1968), this book focuses on Deleuze's redeployment of Spinozist concepts within the context of his own philosophical project of constructing a philosophy of difference as an alternative to the Hegelian dialectical philosophy. Duffy demonstrates that a thorough understanding of Deleuze's Spinozism is necessary in order to fully engage with Deleuze's philosophy of difference.

This book explicates some of the fundamental philosophical tenets underpinning key theoretical frameworks, and demonstrates how these tenets inform particular kinds of research practice in mathematics education research. We believe that a deep understanding of significant theories from the humanities and social sciences is crucial for doing high-quality research in education. For that reason, this book focuses on six key theoretical sources, unpacking their relevance and application to specific research examples. We situate these key theorists within a larger framework pertaining to the history of thought more generally, and discuss how competing theories of teaching and learning differ in terms of their philosophical assumptions. In so doing, we offer context and motivation for particular research methods, with the agenda of helping researchers reflect on why particular approaches and not others might work for them.

These 13 essays address the broad territory of educational theory and philosophy of education. Moving from the formal to post-formal mode of education, the contributors explore education as an experimental and experiential process of becoming grounded in life that represents the becoming-Other of Deleuze's thought.

Featuring contributions by leading academics this collection is a companion to one of the most intricate of Deleuze's philosophical texts, articulating Leibnizian thought within the context of Baroque expressionism, characterized by its interdisciplinary approach to philosophy. This reader offers an incisive critical overview of its key themes