On Mathematical Explanations of Empirical Phenomena

1 Introduction.- Part I: The Indispensability of Mathematics.- 2 The enhanced indispensability argument.- 3 Objections.- 4 Circularity and interpretability.- 5 Conclusion of Part I.- 6 Counterfactual explanation and mathematics.- 7 A number-theoretic counterpossible.- 8 De Re knowledge of numbers.- 9 Conclusion of Part II.- 10 Epilogue.- Bibliography.

Lars Arthur Tump is a research fellow at KU Leuven's Institute of Philosophy and a member of its Centre for Logic and Philosophy of Science. His areas of expertise include the philosophy of mathematics, logic, and science.