Deleuze, Mathematics, Metaphysics - (Intersections in Continental and Analytic Philosophy) by Michael J Ardoline (Hardcover)

About the Book

Provides new solutions to the central problems of the philosophy of mathematics by reconstructing Deleuze's metaphysics

Book Synopsis

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.

From the Back Cover

Provides new solutions to the central problems of the philosophy of mathematics by reconstructing Deleuze's metaphysics Michael Ardoline argues that mathematical truth is grounded in the necessity of difference itself. Mathematical truth then does not require us to posit the reality of transcendent entities or possible worlds because difference is entirely this-worldly. In doing so, Ardoline not only builds a new metaphysics of mathematics, but also explains mathematics' usefulness for science and why mathematical truth appears to have such otherworldly properties in the first place. Michael J. Ardoline is the Post-Doctoral Researcher for the LSU Ethics Institute's 'Embedded Ethics in STEM @LSU' project.

Review Quotes

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

About the Author

Michael J. Ardoline is the Post-Doctoral Researcher for the LSU Ethics Institute's 'Embedded Ethics in STEM @LSU' project.