Preprint

Avigad, Jeremy (2023) The design of mathematical language. [Preprint]

Barrantes, Manuel (2017) Optimal Representations and the Enhanced Indispensability Argument. [Preprint]

Barton, Neil (2017) Independence and Ignorance: How agnotology informs set-theoretic pluralism. [Preprint]

Batterman, Robert (2008) On the Explanatory Role of Mathematics in Empirical Science. [Preprint]

Berkovitz, Joseph (2019) On the Mathematical Constitution and Explanation of Physical Facts. [Preprint]

Buijsman, Stefan (2024) Machine Learning models as Mathematics: interpreting explainable AI in non-causal terms. [Preprint]

Chen, Eddy Keming (2018) The Intrinsic Structure of Quantum Mechanics. [Preprint]

Deulofeu, Roger and Suárez, Javier and Pérez-Cervera, Alberto (2019) Explaining the behaviour of random ecological networks. The stability of the microbiome as a case of integrative pluralism. [Preprint]

Donhauser, Justin (2023) Five lessons from teleology-neutrality and metaphor in ecology: Bottom-up and top-down all at once. [Preprint]

Díez, José and Suárez, Javier (2023) How do networks explain? A neo-Hempelian approach to network explanations of the ecology of the microbiome. [Preprint]

Gao, Shan (2025) Comment on "Hilbert's Sixth Problem: Derivation of Fluid Equations via Boltzmann's Kinetic Theory" by Deng, Hani, and Ma. [Preprint]

Gomes, Henrique (2024) Gauge theory without principal fiber bundles. [Preprint]

Heartspring, William (2019) A tautological interpretation of Godel's ontological proof. [Preprint]

Himelright, Jack (2025) Reassessing the Explanatory Indispensability Argument: A Bayesian Defence of Nominalism. [Preprint]

Kenneth, Boyce (2018) Why Inference to the Best Explanation Doesn’t Secure Empirical Grounds for Mathematical Platonism. [Preprint]

Kostic, Daniel (2023) On the Role of Erotetic Constraints in Non-causal Explanations. [Preprint]

Lange, Marc (2021) Challenges Facing Counterfactual Accounts of Explanation in Mathematics. [Preprint]

Lehet, Ellen (2019) Induction and Explanatory Definitions in Mathematics. [Preprint]

Martin, James V. (2021) Indeterminacy, Coincidence, and "Sourcing Newness" in Mathematical Research. [Preprint]

Mazurek, Leszek (2020) Division by zero. [Preprint]

McCullough-Benner, Colin (2021) The Metarepresentational Role of Mathematics in Scientific Explanations. [Preprint]

Mizrahi, Moti (2020) Proof, Explanation, and Justification in Mathematical Practice. [Preprint]

Perry, Stephen (2021) What is "Applied Mathematics" Anyway? How the History of Fluid Mechanics Demonstrates the Role of Concepts in Applied Mathematics. [Preprint]

Reutlinger, Alexander and Colyvan, Mark and Krzyzanowska, Karolina (2020) The Prospects for a Monist Theory of Non-Causal Explanation in Science and Mathematics. [Preprint]

Ross, Lauren N. (2020) Distinguishing topological and causal explanation. [Preprint]

Ross, Lauren N. (2024) Explanation in Biology. [Preprint]

Räz, Tim (2020) Understanding Deep Learning With Statistical Relevance. [Preprint]

Shech, Elay (2018) Infinitesimal Idealization, Easy Road Nominalism, and Fractional Quantum Statistics. [Preprint]

Vorobyev, Oleg Yu (2016) Postulating the theory of experience and chance as a theory of co~events (co~beings). [Preprint]

Weinstein, Galina (2023) Was Einstein a Lone Genius? [Preprint]

Whittle, Bruno (2021) Mathematical Anti-Realism and Explanatory Structure. [Preprint]

Zerilli, John (2020) Explaining machine learning decisions. [Preprint]

Conference or Workshop Item

D'Alessandro, William and Lehet, Ellen (2022) Mathematical Explanation and Understanding: A Noetic Account. In: UNSPECIFIED.

Published Article or Volume

Aydinonat, N. Emrah (2018) The diversity of models as a means to better explanations in economics. Journal of Economic Methodology, 25 (3). pp. 237-251.

Bangu, Sorin (2018) Indispensability, causation and explanation. THEORIA. An International Journal for Theory, History and Foundations of Science, 33 (2). pp. 219-232. ISSN 2171-679X

Baron, Sam (2017) Mathematical Explanation by Law. The British Journal for the Philosophy of Science.

Bentzen, Bruno (2020) What types should not be. Philosophia Mathematica, 28 (1). pp. 60-76. ISSN 0031-8019

Bueno, Otávio (2018) Putnam’s indispensability argument revisited, reassessed, revived. THEORIA. An International Journal for Theory, History and Foundations of Science, 33 (2). pp. 201-218. ISSN 2171-679X

Chen, Eddy Keming (2017) ​​Our Fundamental Physical Space: An Essay on the Metaphysics of the Wave Function. The Journal of Philosophy, 114 (7). pp. 333-365. ISSN 0022-362X

Clarke-Doane, Justin (2022) Mathemtics and Metaphilosophy. Cambridge Elements.

Climenhaga, Nevin (2020) Evidence and Inductive Inference. The Routledge Handbook of the Philosophy of Evidence, edited by Maria Lasonen-Aarnio & Clayton Littlejohn.

D'Alessandro, William (2017) Mathematical Explanation Beyond Explanatory Proof. The British Journal for the Philosophy of Science.

D'Alessandro, William (2020) Proving Quadratic Reciprocity: Explanation, Disagreement, Transparency and Depth. Synthese. ISSN 1573-0964

Dougherty, John (2017) What inductive explanations could not be. Synthese. ISSN 1573-0964

Heylen, Jan (2014) The Epistemic Significance of Numerals. Synthese. pp. 1-27.

Ketland, Jeffrey (2020) Computation and Indispensability. Logic and Logical Philosophy, 30.

Legg, Catherine and Franklin, James (2017) Perceiving Necessity. Pacific Philosophical Quarterly, 98. pp. 320-343. ISSN 1468-0114

Morris, Rebecca (2019) Do mathematical explanations have instrumental value? Synthese. ISSN 1573-0964

Plebani, Matteo (2018) The indispensability argument and the nature of mathematical objects. THEORIA. An International Journal for Theory, History and Foundations of Science, 33 (2). pp. 249-263. ISSN 2171-679X

Povich, Mark (2019) The Narrow Ontic Counterfactual Account of Distinctively Mathematical Explanation. The British Journal for the Philosophy of Science. ISSN 1464-3537

Räz, Tim (2024) ML interpretability: Simple isn't easy. Studies in History and Philosophy of Science. ISSN 00393681

Räz, Tim (2017) The Silent Hexagon: Explaining Comb Structures. Synthese, 194. pp. 1703-1724. ISSN 1573-0964

Tȃrziu, Gabriel (2018) Can we have mathematical understanding of physical phenomena? THEORIA. An International Journal for Theory, History and Foundations of Science, 33 (1). pp. 91-109. ISSN 2171-679X

Vineberg, Susan (2018) Mathematical explanation and indispensability. THEORIA. An International Journal for Theory, History and Foundations of Science, 33 (2). pp. 233-247. ISSN 2171-679X