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(2018) Multiplicity and ontology in Deleuze and Badiou, Basingstoke, Palgrave Macmillan.
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 its operational accompaniments inform Deleuze's work, which I show in his account of the virtual Idea in Difference and Repetition and to the account of smooth and striated spaces in Plateau "1440: the Smooth and the Striated" in class="EmphasisTypeItalic ">A Thousand Plateaus. Georg Cantor's distinction of inconsistent from consistent multiples are at the foundation of Badiou's ontology; Zermelo's axiom of separation solves a problem (crystallized in Russell's Paradox) about any possible relation between inconsistent and consistent multiples. Badiou's work in Being and Event and a short description of inconsistent multiplicity in Briefings on Existence are the texts under investigation here.
Publication details
DOI: 10.1007/978-3-319-76837-3_3
Full citation:
Vartabedian, (2018). Structure: multiplicity and multiple in Deleuze and Badiou, in Multiplicity and ontology in Deleuze and Badiou, Basingstoke, Palgrave Macmillan, pp. 55-91.
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