Deleuze, Mathematics, Metaphysics
Deleuze, Mathematics, Metaphysics provides new solutions to the central problems of the philosophy of mathematics by reconstructing Deleuze's metaphysics. It engages directly with both analytic and continental philosophy, as well as the formal and natural sciences.
These new Deleuzian solutions reject other-worldly accounts of mathematics, such as Platonism, and avoid treating mathematics as a mere 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. This approach not only provides a new metaphysics of mathematics but also explains the usefulness of mathematics for science and why mathematical truths appear to have otherworldly properties in the first place.
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Description
Deleuze, Mathematics, Metaphysics provides new solutions to the central problems of the philosophy of mathematics by reconstructing Deleuze's metaphysics. It engages directly with both analytic and continental philosophy, as well as the formal and natural sciences.
These new Deleuzian solutions reject other-worldly accounts of mathematics, such as Platonism, and avoid treating mathematics as a mere 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. This approach not only provides a new metaphysics of mathematics but also explains the usefulness of mathematics for science and why mathematical truths appear to have otherworldly properties in the first place.
