Deleuze, Mathematics, Metaphysics

Michael J. Ardoline is Assistant Professor of Philosophy at Louisiana State University. He completed his PhD at the University of Memphis in 2021. He has published articles in journals such as Deleuze and Guattari Studies, Philosophies, and Open Philosophy.

• AcknowledgementsIntroduction: Necessity, Eternity, and Infinity in a Dying CosmosMathematical Addendum: Griss’s Negationless MathematicsChapter 1 Nothing is Possible: Truthmakers, Difference, and Dispositionalist Grounds for NecessityLogical Addendum: Schrödinger LogicsChapter 2 Modalities of Difference: Deleuze’s Ontology of the Actual, Intensive, and VirtualChapter 3 Individuation and Becoming-Continuous: The Production of the New Against Quine and MarcusChapter 4 Inscription and Eternity: Aion, Chronos, and the Asymmetry Between Temporality and ModalityChapter 5 Essence and Excess: The Production of Multiplicities and Symmetry through Powers, History and RepetitionChapter 6 Transfinite Truths Without the Infinite: Cantor’s Theorem, Skolem’s Paradox, and the Objective Grounds of Set TheoryConclusion: Expression and Formalization: The Production of Mathematical Objects within FormalismsReferences

By proposing a creative, clever, and novel reconstruction of Deleuze's modal metaphysics of difference, Michael J. Ardoline's Deleuze, Mathematics, Metaphysics: Difference and Necessity invents a compelling new foundation for grounding mathematics in the finite, temporary, changing, and chaotic world portrayed in contemporary sciences. Groundbreaking, original, and cutting-edge, Ardoline's book serves as the perfect model for a new generation interested in conducting a fruitful and unbiased analytic/continental hybrid mode of thinking.