New York, USA: Palgrave Macmillan (2018)

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Abstract
This book approaches work by Gilles Deleuze and Alain Badiou through their shared commitment to multiplicity, a novel approach to addressing one of the oldest philosophical questions: is being one or many? Becky Vartabedian examines major statements of multiplicity by Deleuze and Badiou to assess the structure of multiplicity as ontological ground or foundation, and the mathematical procedures these accounts prescribe for understanding one in relation to multiplicity. Written in a clear, engaging style, Vartabedian introduces readers to Deleuze and Badiou's key ontological commitments, including the mathematical resources underpinning their accounts of multiplicity and one, and situates these as a conversation unfolding amid political and intellectual transformations.
Keywords Alain Badiou  Gilles Deleuze  Ontology  Multiplicity  Set Theory
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Reprint years 2018
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ISBN(s) 978-3-319-76836-6   978-3-319-76837-3   3030083047   9783319768366   3319768360
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Chapters BETA
Conclusion: Multiplicity, Ontology, Deleuze, Badiou

This chapter recovers the work of the preceding several chapters to demonstrate my attention to structure and procedure as key components of both Badiou’s and Deleuze’s ontological multiplicity. I discuss the prospects for ‘other lineages’ in which to take up this investigation, including the discus... see more

Re-engagements

This chapter begins by developing an account of subtraction in Badiou’s ontological work parallel to the n-1 procedure operative in Deleuze and Guattari’s work; unlike the “special” subtraction associated with truth procedures , Badiou’s account also harbors a ‘general’ subtraction, largely continuo... see more

Procedures: One, Multiple, Subtraction

This chapter attends to the prescribed procedures for relating one to multiple and multiplicity in Badiou’s and Deleuze’s work. I begin with the work of constructing consistent multiples in Badiou’s work, a procedure requiring attention to the void set and its mark Ø, their background in Zermelo and... see more

Structure: Multiplicity and Multiple in Deleuze and Badiou

This Chapter attends to multiplicity as structure in Deleuze’s and Badiou’s works, structures that are not articulated according to traditional philosophical conceptions of ‘the many,’ but are rather associated with mathematical paradigms. Bernhard Riemann’s continuous manifoldness and certain of it... see more

Engagements, 1976–1997: History of a Misunderstanding

This chapter initiates a conversation between Deleuze and Badiou concerning multiplicity in three periods. The first is political, seating multiplicity in a revised doctrine of materialism; it is initiated with Deleuze and Guattari’s “Rhizome—Introduction” and addresses Badiou’s “The Fascism of the ... see more

Introduction: Lower Layers

This chapter orients the reader to the ideas of multiplicity in Badiou’s and Deleuze’s work, and to the ontological paradigms these ideas support. I acknowledge a conceptual debt both programs owe to precedent uses of Mannigfaltigkeit , particularly in Kant’s discussion of the manifold in the Critiq... see more

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