Linked bibliography for the SEP article "Mathematical Explanation" by Paolo Mancosu, Francesca Poggiolesi and Christopher Pincock
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- Baron, S., Colyvan, M., and Ripley, D., 2017, “How Mathematics Can Make a Difference”, Philosophers’ Imprint, 17(3): 19. (Scholar)
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- Barrantes, M., 2019, “Optimal Representation and the Enhanced Indispensability Argument”, Synthese, 196: 247–263. (Scholar)
- Batterman, R., 2010, “On the Explanatory Role of Mathematics in Empirical Science”, The British Journal for the Philosophy of Science, 61: 1–25. (Scholar)
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- Batterman, R., and Rice, C., 2014, “Minimal Model Explanations”, Philosophy of Science, 81: 349–376. (Scholar)
- Beebee, H., Hitchcock, C. and Menzies, P. (eds.), 2010, The Oxford Handbook of Causation. Oxford University Press. (Scholar)
- Bechtel, W., 2020, “Hierarchy and Levels: Analyzing Networks
to Study Mechanisms in Molecular Biology”, Philosophical
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- Bechtel, W. and Abrahamsen, A., 2010, “Dynamic Mechanistic Explanation: Computational Modeling of Circadian Rhythms as an Exemplar for Cognitive Science”, Studies in History and Philosophy of Science Part A, 41(3): 321–333. (Scholar)
- Belot, G., 2005, “Whose Devil? Which Details?”, Philosophy of Science, 72: 128–153. (Scholar)
- Berkovitz, J., 2020, “On the Mathematical Constitution and
Explanation of Physical Facts”, in Hemmo, M., & Shenker, O.
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- Betti, A., 2010, “Explanation in Metaphysics and
Bolzano’s Theory of Ground and Consequence”, Logique
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- Bokulich, A., 2008, “Can Classical Structures Explain Quantum Phenomena?”, British Journal for the Philosophy of Science, 59(2): 217–235. (Scholar)
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- Boyce, K., 2021, “Why Inference to the Best Explanation
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- Brigandt, I., 2013, “Systems Biology and the Integration of Mechanistic Explanation and Mathematical Explanation”, Studies in History and Philosophy of Biological and Biomedical Sciences, 44 (4): 477– 492. (Scholar)
- Brown, J. R., 1997, “Proofs and pictures”, The British Journal for the Philosophy of Science, 48: 161–80. (Scholar)
- Brumfiel, G., 1979, Partially Ordered Rings and Semi-algebraic
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- Busch, O., and Morrison, J., 2016, “Should Scientific
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- Cellucci, C., 2008, “The Nature of Mathematical Explanation”, Studies in History and Philosophy of Science, 39: 202–210. (Scholar)
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- Colyvan, M., 2001, The Indispensability of Mathematics, Oxford: Oxford University Press. (Scholar)
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- Colyvan, M., Cusberg, J. and McQueen, K., 2018, “Two Flavors
of Mathematical Explanation”, in Reutlinger, A. and Saatsi, J.
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- Correia, F., and Schnieder, B. (eds.), 2012, Metaphysical Grounding: Understanding the Structure of Reality, Cambridge: Cambridge University Press. (Scholar)
- Cournot, A., 1851, Essai sur les Fondements de Nos
Connaissances Philosophiques et sur le Caractère de la Critique
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translation by M. H. Moore in A. Cournot, An Essay on the
Foundations of Our Knowledge, The Liberal Arts Press, New York,
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- Craver, C., 2014, “The ontic account of scientific explanation”, in Kaiser, M. and Scholz, O. (eds.), Explanation in the special sciences, Springer, pp. 27–52. (Scholar)
- Craver, C. & Povich, M., 2017, “The Directionality of Distinctively Mathematical Explanations”, Studies in History and Philosophy of Science Part A, 63: 31–38. (Scholar)
- D’Alessandro, W., 2020, “Mathematical explanation beyond explanatory proof”, British Journal for the Philosophy of Science, 71: 581–603. (Scholar)
- –––, 2021, “Proving Quadratic Reciprocity: Explanation, Disagreement, Transparency and Depth”, Synthese, 198(9): 8621–8664. (Scholar)
- Daly, C., and Langford, S., 2009, “Mathematical Explanation and Indispensability Arguments”, The Philosophical Quarterly, 59: 641–658. (Scholar)
- Dear, P., 2011, “Mixed Mathematics”, in Harrison, P.,
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- Delarivière, S., Frans, J. and van Kerkhove, B., 2017, “Mathematical Explanation: A Contextual Approach”, Journal of the Indian Council for Philosophical Research, 34: 309–329. (Scholar)
- Detlefsen, M., 1988, “Fregean Hierarchies and Mathematical Explanation”, International Studies in the Philosophy of Science, 3: 97–116. (Scholar)
- Detlefsen, M., and Arana, A., 2011, “Purity of Methods”, Philosophers’ Imprint, 11(2): 1–20, published online: http://hdl.handle.net/2027/spo.3521354.0011.002 (Scholar)
- Dorato, M., 2017, “Dynamical versus Structural Explanations in Scientific Revolutions”, Synthese, 194(7): 2307–2327. (Scholar)
- Dougherty, J., 2017, “What Inductive Explanations Could Not Be”, Synthese, 195: 5473–5483. (Scholar)
- Dutilh Novaes, C., 2018, “A Dialogical Conception of
Explanation in Mathematical Proofs”, in P. Ernest (ed.),
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- Easwaran, K., Hájek, A., Mancosu, P. and Oppy, G., 2021,
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- Enoch, D., 2016, “Indispensability Arguments in Metaethics:
Even Better than in Mathematics?”, in Leibowitz, U. D. and
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- Field, H., 1980, Science without Numbers: A Defence of Nominalism, Oxford: Blackwell; second edition, 2016. (Scholar)
- Franklin, J., 2008, “Aristotelian Realism”, in A. D. Irvine (ed.), Handbook of the Philosophy of Science. Philosophy of Mathematics, pp. 103–155. (Scholar)
- Franklin, A., 2018, “On the Renormalization Group Explanation of Universality”, Philosophy of Science, 85: 225–248. (Scholar)
- Frans, J., 2021, “Unificatory Understanding and Explanatory Proofs”, Foundations of Science, 26: 1105–1127. (Scholar)
- Frans, J. and Weber, E., 2014, “Mechanistic Explanation and Explanatory Proof in Mathematics”, Philosophia Mathematica, 22: 231–248. (Scholar)
- French, S., 2014, The Structure of the World: Metaphysics and Representation. Oxford University Press. (Scholar)
- Friedman, M., 1974, “Explanation and Scientific Understanding”, Journal of Philosophy, 71: 5–19. (Scholar)
- Frigg, R., and Nguyen, J. 2020, Modelling Nature: An Opinionated Introduction to Scientific Representation, Cham: Springer. (Scholar)
- Giaquinto, M., 2016, “Mathematical Proofs: The Beautiful and the Explanatory”, Journal of Humanistic Mathematics, 6 (1): 56–72. (Scholar)
- Gijsbers, V., 2017, “A Quasi-Interventionist Theory of
Mathematical Explanation”, Logique et Analyse, 60:
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- Gingras, Y., 2001, “What did Mathematics do to Physics?”, History of Science, 39: 383–416. (Scholar)
- Green, S., Şerban, M., Scholl, R., Jones, N., Brigandt, I. and Bechtel, W., 2018, “Network Analyses in Systems Biology: New Strategies for Dealing with Biological Complexity”, Synthese, 195: 1751–1777. (Scholar)
- Hafner, J. and Mancosu, P., 2005, “The Varieties of
Mathematical Explanation”, in Mancosu, P. et al. (eds.),
Visualization, Explanation and Reasoning Styles in
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- Harari, O., 2008, “Proclus’ Account of Explanatory
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- Harman, G., 1977, The Nature of Morality, Oxford University Press. (Scholar)
- Hempel, C., 1965, Aspects of Scientific Explanation and Other Essays in the Philosophy of Science, Free Press. (Scholar)
- Hoeltje, M., Schnieder, B. and Steinberg, A., 2013, “Explanation by Induction?”, Synthese, 190: 509–524. (Scholar)
- Huneman, P., 2010, “Topological Explanations and Robustness in Biological Sciences”, Synthese, 177: 213– 245. (Scholar)
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- Inglis, M. and Mejía-Ramos, J. P., 2019, “Functional Explanation in Mathematics”, Synthese, 25: 1–24. (Scholar)
- Jackson, F., & Pettit, P., 1990, “Program Explanation: A General Perspective”, Analysis, 50: 107–117. (Scholar)
- Jansson, L., 2017, “Explanatory Asymmetries, Ground, and Ontological Dependence”, Erkenntnis, 82: 157–198. (Scholar)
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- Jha, A., Campbell, D., Montelle, C. et al., 2022, “Not so Distinctively Mathematical Explanations: Topology and Dynamical systems”, Synthese, 200: 193. (Scholar)
- Kasirzadeh, A., 2021a, “Counter Countermathematical Explanations”, Erkenntnis, 88: 2537–2560. (Scholar)
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- Kelp, C., 2016, “Towards a Knowledge-Based Account of Understanding”, in S. R. Grimm, C. Baumberger, & S. Ammon (eds.), Explaining Understanding: New Perspectives from Epistemology and Philosophy of Science, London: Routledge, pp. 251–271. (Scholar)
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- Kitcher, P., 1975, “Bolzano’s Ideal of Algebraic
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- –––, 1981, “Explanatory Unification”, Philosophy of Science, 48: 507–531. (Scholar)
- –––, 1989, “Explanatory Unification and the Causal Structure of the World”, in Kitcher, P. and Salmon, W. (eds.), Scientific Explanation, (Minnesota Studies in the Philosophy of Science, Volume XIII), Minneapolis: University of Minnesota Press, pp. 410–505. (Scholar)
- Knowles, R., 2021a, “Platonic Relations and Mathematical Explanations”, Philosophical Quarterly, 71: 623–44. (Scholar)
- –––, 2021b, “Unification and Mathematical Explanations”, Philosophical Studies, 178: 3923–3943. (Scholar)
- Knowles, R. and Saatsi, J., 2021, “Mathematics and Explanatory Generality: Nothing But Cognitive Salience”, Erkenntnis, 86: 1119–37. (Scholar)
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- –––, 2015b, “Explanation, Existence, and Natural Properties in Mathematics. A Case Study: Desargues’ Theorem”, Dialectica, 69: 435–472. (Scholar)
- –––, 2015c, “Depth and Explanation in Mathematics”, Philosophia Mathematica, 23(2): 196–214. (Scholar)
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- –––, 2018b, “Mathematical Explanations that are not Proofs”, Erkenntnis, 83(6): 1285–1302. (Scholar)
- –––, 2021a, “Asymmetry as a Challenge to Counterfactual Accounts of Non-causal Explanation”, Synthese, 198(4): 3893–3918. (Scholar)
- –––, 2021b, “What Could Mathematics be for it to Function in Distinctively Mathematical Scientific Explanations?”, Studies in History and Philosophy of Science A, 87: 44–53. (Scholar)
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- Lehet, E., 2019, “Induction and Explanatory Definitions in
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- Liggins, D., 2016, “Grounding and the Indispensability Argument”, Synthese, 193: 531–548. (Scholar)
- Lipton, P., 2004, “What Good is an Explanation”, in J. Cornwell (ed.), Explanations. Styles of Explanation in Science, Oxford: Oxford University Press, pp. 1–21. (Scholar)
- Lyon, A., 2012, “Mathematical Explanations of Empirical Facts, and Mathematical Realism”, Australasian Journal of Philosophy, 90(3): 559–578. (Scholar)
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- Mancosu, P. and Mugnai, M. 2023, Syllogistic Logic and Mathematical Proof, Oxford University Press. (Scholar)
- McCullough-Benner, C., 2022, “The Metarepresentational Role of Mathematics in Scientific Explanations,” Philosophy of Science, 89: 742—760. (Scholar)
- McKenna, T., 2021, “Lange on Minimal Model Explanations: A Defense of Batterman and Rice”, Philosophy of Science, 88: 731–741. (Scholar)
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- Marcus, R., 2013, “Intrinsic Explanation and Field’s
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- Norton, J., 2012, “Approximation and Idealization: Why the Difference Matters”, Philosophy of Science, 79: 207–232. (Scholar)
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- Panza, M., and A. Sereni, 2016, “The Variety of Indispensability Arguments”, Synthese, 193 (2): 469–516. (Scholar)
- Pearl, J, 2000, Causality: Models, Reasoning, and Inference, Cambridge University Press. (Scholar)
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- Potochnik, A., 2007, “Optimality Modeling and Explanatory Generality”, Philosophy of Science, 74: 680–691. (Scholar)
- Povich, M., 2020, “Modality and Constitution in Distinctively Mathematical Explanations”, European Journal for Philosophy of Science, 10. (Scholar)
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