Overview

Deleuze, Mathematics, Metaphysics provides new solutions to the central problems of the philosophy of mathematics by reconstructing Deleuze's metaphysics. It does so through direct engagement with analytic and continental philosophy, along with the formal and natural sciences. These new Deleuzian solutions reject equally other-worldly accounts of mathematics, such as Platonism, and accounts which treat mathematics as a useful fiction or an empty formalist game. Instead, Deleuze, Mathematics, Metaphysics argues that mathematical truth is grounded in the necessity of difference itself. Since difference is entirely this-worldly, the truth of mathematics does not require us to posit the reality of transcendent entities or possible worlds. Doing so not only provides a new metaphysics of mathematics; it also explains the usefulness of mathematics for science and why mathematical truth appear to have such otherworldly properties in the first place.

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9781399536349

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Reviews

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.--Corry Shores, Middle East Technical University, Turkey

Author Information

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.

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