Linked bibliography for the SEP article "Mathematical Explanation" by Paolo Mancosu, Francesca Poggiolesi and Christopher Pincock

This is an automatically generated and experimental page

If everything goes well, this page should display the bibliography of the aforementioned article as it appears in the Stanford Encyclopedia of Philosophy, but with links added to PhilPapers records and Google Scholar for your convenience. Some bibliographies are not going to be represented correctly or fully up to date. In general, bibliographies of recent works are going to be much better linked than bibliographies of primary literature and older works. Entries with PhilPapers records have links on their titles. A green link indicates that the item is available online at least partially.

This experiment has been authorized by the editors of the Stanford Encyclopedia of Philosophy. The original article and bibliography can be found here.

Andersen, H., 2020, “Complements, not competitors: causal and mathematical explanations”, The British Journal for the Philosophy of Science, 69: 485–508. (Scholar)
Arana, A. 2023, “Purity and Explanation: Essentially Linked?”, in Posy, C. and Ben-Menahem, Y. (eds.), Mathematical Knowledge, Objects and Applications: Essays in Memory of Mark Steiner, Cham: Springer International Publishing, pp. 25–39. (Scholar)
Arana, A., and Mancosu, P., 2012, “On the relationship between plane and solid geometry”, The Review of Symbolic Logic, 5(2): 294–353. (Scholar)
Aristotle [BWA], The Basic Works of Aristotle, R. McKeon (ed.), New York: Random House, 1941.
––– [CWA], The Complete Works of Aristotle, J. Barnes (ed.), Princeton: Princeton University Press, 1984.
Ashbaugh, M. S., Chicone, C. C. and Cushman, R. H., 1991, “The Twisting Tennis Racket”, Journal of Dynamics and Differential Equations, 3 (1): 67–85. (Scholar)
Atkinson, R. C., and Shiffrin, R. M., 1968, “Human memory: A proposed system and its control processes”, Psychology of Learning and Motivation, 2, 89–95. (Scholar)
Baker, A., 2005, “Are there Genuine Mathematical Explanations of Physical Phenomena?”, Mind, 114: 223– 238. (Scholar)
–––, 2009a, “Mathematical Explanation in Science”, The British Journal for the Philosophy of Science, 60: 611– 633. (Scholar)
–––, 2009b, “Mathematical Induction and Explanation”, Analysis, 70: 681–690. (Scholar)
–––, 2015a, “Mathematical Explanation in Biology”, in Braillard, P.-A. and Malaterre, C. (eds.), Explanation in Biology, Dordrecht: Springer, 229–247. (Scholar)
–––, 2015b, “Review of C. Pincock, Mathematics and Scientific Representation”, British Journal for the Philosophy of Science, 66: 695–699. (Scholar)
–––, 2016, “Non-Optional Projects: Mathematical and Ethical”, in Leibowitz, U. D. and Sinclair, N. (eds.), Explanation in Ethics and Mathematics, Oxford, UK: Oxford University Press, pp. 220–235. (Scholar)
–––, 2017, “Mathematics and Explanatory Generality”, Philosophia Mathematica, 25: 194–209. (Scholar)
–––, 2021a, “Circularity, Indispensability, and Mathematical Explanation in Science”, Studies in History and Philosophy of Science Part A, 88: 156–163. (Scholar)
–––, 2022, “The Mathematical Stance”, Synthese, 200(1): 53. (Scholar)
Baker, A., and Colyvan, M., 2011, “Indexing and Mathematical Explanation”, Philosophia Mathematica, 19 (3): 323–334. (Scholar)
Baldwin, J., 2016, “Foundations of Mathematics: Reliability AND Clarity: The Explanatory Role of Mathematical Induction”, in Väänänen, J. et al. (eds.), Logic, Language, Information, and Computation, Lecture Notes in Computer Science, Berlin/Heidelberg: Springer, pp. 68–82. (Scholar)
Bangu, S. I., 2008, “Inference to the Best Explanation and Mathematical Realism”, Synthese, 160: 13–20. (Scholar)
–––, 2012, The Applicability of Mathematics in Science: Indispensability and Ontology, London: Palgrave MacMillan. (Scholar)
Baron, S., 2019, “Mathematical Explanation by Law”, The British Journal for the Philosophy of Science, 70(3): 683–717. (Scholar)
–––, 2020, “Counterfactual Scheming”, Mind, 129(514): 535–562. (Scholar)
–––, 2021, “Mathematical Explanation: A Pythagorean Proposal”, The British Journal for the Philosophy of Science, 1–29. (Scholar)
Baron, S., Colyvan, M., and Ripley, D., 2017, “How Mathematics Can Make a Difference”, Philosophers’ Imprint, 17(3): 19. (Scholar)
–––, 2020, “A Counterfactual Approach to Explanation in Mathematics”, Philosophia Mathematica, 28(1): 1–34. (Scholar)
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)
–––, 2019, “Universality and RG Explanations”, Perspectives on Science, 27: 26–47. (Scholar)
–––, 2021, A Middle Way: A Non-Fundamental Approach to Many-Body Physics. Oxford University Press. (Scholar)
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 Transactions of the Royal Society B, 375(1796): 20190320. (Scholar)
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. (eds.), Quantum, Probability, Logic. Jerusalem Studies in Philosophy and History of Science. Springer, 125–164. (Scholar)
Betti, A., 2010, “Explanation in Metaphysics and Bolzano’s Theory of Ground and Consequence”, Logique et Analyse, 56 (211): 281–316. (Scholar)
Bokulich, A., 2008, “Can Classical Structures Explain Quantum Phenomena?”, British Journal for the Philosophy of Science, 59(2): 217–235. (Scholar)
–––, 2011, “How Scientific Models Can Explain”, Synthese, 180: 33–45. (Scholar)
Bouligand, G., 1932, Premières leçons sur la théorie générale des groupes, Paris: Vuibert. (Scholar)
Boyce, K., 2021, “Why Inference to the Best Explanation Doesn’t Secure Empirical Grounds for Mathematical Platonism”, Synthese, 198(1): 583–595. (Scholar)
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 Geometry, Cambridge: Cambridge University Press. (Scholar)
Bueno, O. and Colyvan, M., 2011, “An Inferential Conception of the Application of Mathematics”, Noûs, 45: 345–374. (Scholar)
Bueno, O., and French, S., 2018, Applying mathematics: Immersion, inference, interpretation. Oxford University Press. (Scholar)
Bueno, O. and Vivanco, M., 2019, “Resisting Non-Causal Explanations”, Analysis, 79: 550–559. (Scholar)
Busch, O., and Morrison, J., 2016, “Should Scientific Realists be Platonists?”, Synthese, 25 (4): 307–325. (Scholar)
Cartwright, N., 1983, How the Laws of Physics Lie, New York: Oxford University Press. (Scholar)
–––, 1989, Nature’s Capacities and Their Measurement, Oxford: Clarendon Press. (Scholar)
Castel, L., 1734, Vrai Système de Physique Générale de M. Isaac Newton, Paris. (Scholar)
Cellucci, C., 2008, “The Nature of Mathematical Explanation”, Studies in History and Philosophy of Science, 39: 202–210. (Scholar)
–––, 2014, “Mathematical Beauty, Understanding, Discovery”, Foundations of Science, 20: 339–355. (Scholar)
–––, 2017, Rethinking Knowledge, Cham: Springer. (Scholar)
Clark-Doane, J., 2020, Morality and Mathematics, New York: Oxford University Press. (Scholar)
Colyvan, M., 2001, The Indispensability of Mathematics, Oxford: Oxford University Press. (Scholar)
–––, 2002, “Mathematics and Aesthetic Considerations in Science”, Mind, 111(441): 69–74. (Scholar)
–––, 2010, “There is No Easy Road to Nominalism”, Mind, 119: 285–306. (Scholar)
Colyvan, M., Cusberg, J. and McQueen, K., 2018, “Two Flavors of Mathematical Explanation”, in Reutlinger, A. and Saatsi, J. (eds.), Explanation beyond Causation, Oxford: Oxford University Press, pp. 231–249. (Scholar)
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 Philosophique, in J.C. Pariente (ed.), Oeuvres Complètes, Volume II, Paris: Vrin, 1981. English translation by M. H. Moore in A. Cournot, An Essay on the Foundations of Our Knowledge, The Liberal Arts Press, New York, 1956. (Scholar)
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., Numbers, R. L. and Shank, M. H. (eds.), Wrestling with Nature, University of Chicago Press, pp. 149–172. (Scholar)
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.), Philosophy of Mathematics Education Today, Berlin: Springer, pp. 81–98. (Scholar)
Easwaran, K., Hájek, A., Mancosu, P. and Oppy, G., 2021, “Infinite Idealizations”, supplement to “Infinity”, The Stanford Encyclopedia of Philosophy (Winter 2021 Edition), E. N. Zalta (ed.), URL = <https://plato.stanford.edu/archives/win2021/entries/infinity/>. (Scholar)
Enoch, D., 2016, “Indispensability Arguments in Metaethics: Even Better than in Mathematics?”, in Leibowitz, U. D. and Sinclair, N. (eds.), Explanation in Ethics and Mathematics, Oxford, UK: Oxford University Press, pp. 236–254. (Scholar)
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: 47–66. (Scholar)
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 Mathematics, Berlin: Springer, pp. 215–250. (Scholar)
–––, 2008, “Beyond Unification”, in Mancosu, P. (ed.), The Philosophy of Mathematical Practice, Oxford University Press, pp. 151–178. (Scholar)
Harari, O., 2008, “Proclus’ Account of Explanatory Demonstrations in Mathematics and its Context”, Archiv für Geschichte der Philosophie, 90: 137–164. (Scholar)
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)
–––, 2018, “Diversifying the Picture of Explanations in Biological Sciences: Ways of Combining Topology with Mechanisms”, Synthese, 195(1): 115–146. (Scholar)
Hunt, J., 2022. Expressivism about Explanatory Relevance. Philosophical Studies. (Scholar)
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)
–––, 2018, “When are Structural Equation Models Apt? Causation versus Grounding”, in Reutlinger, A. and Saatsi, J. (eds.), Explanation Beyond Causation: Philosophical Perspectives on Non-Causal Explanations, Oxford University Press, pp. 250–266. (Scholar)
Jansson, L. and Saatsi, J., 2019, “Explanatory Abstractions”, The British Journal for the Philosophy of Science, 70: 817–844. (Scholar)
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)
–––, 2021b, “A New Role for Mathematics in Empirical Sciences”, Philosophy of Science, 88: 686–706. (Scholar)
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)
Kim, J., 1994, “Explanatory Knowledge and Metaphysical Dependence”, Philosophical Issues, 5: 51–69. (Scholar)
–––, 2005, Physicalism, Or Something Near Enough, Princeton University Press. (Scholar)
Kitcher, P., 1975, “Bolzano’s Ideal of Algebraic Analysis”, Studies in History and Philosophy of Science, 6: 229–269. (Scholar)
–––, 1976, “Explanation, Conjunction, and Unification”, The Journal of Philosophy, 73(8): 207–212. (Scholar)
–––, 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)
Kostic, D., 2020, “General Theory of Topological Explanations and Explanatory Asymmetry”, Philosophical Transactions of the Royal Society B, 375(1796): 20190321. (Scholar)
–––, 2023, “Topological Explanations, an Opinionated Appraisal”, in Lawler, I., Shech, E. and Khalifa, K. (eds): Scientific Understanding and Representation: Mathematical Modeling in the Life and Physical Sciences, Routledge, pp. 96–114. (Scholar)
Kostic, D. and Khalifa, K., 2021, “The Directionality of Topological Explanations”, Synthese, 1–33. (Scholar)
–––, 2023, “Decoupling Topological Explanations from Mechanisms”, Philosophy of Science, 90(2): 245–268. (Scholar)
Kuorikoski, J., 2021, “There are No Mathematical Explanations”, Philosophy of Science, 88(2): 189–212. (Scholar)
Ladyman, J. and Ross, D., 2007, Every Thing Must Go: Metaphysics Naturalized, Oxford University Press. (Scholar)
Lange, M., 2009, Laws and Lawmakers: Science, Metaphysics, and the Laws of Nature, Oxford University Press. (Scholar)
–––, 2010, “Why Proofs by Mathematical Induction are Generally not Explanatory”, Analysis, 69: 203–211. (Scholar)
–––, 2013, “What Makes a Scientific Explanation Distinctively Mathematical?”, The British Journal for the Philosophy of Science, 64(3): 485–511. (Scholar)
–––, 2015a, “On ‘Minimal Model Explanations’: A reply to Batterman and Rice”, Philosophy of Science, 82(2): 292–305. (Scholar)
–––, 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)
–––, 2016, “Explanatory Proofs and Beautiful Proofs”, Journal of Humanistic Mathematics, 6(1): 8–51. (Scholar)
–––, 2017, Because Without Cause: Non-causal Explanation in Science and Mathematics, Oxford University Press. (Scholar)
–––, 2018a, “A Reply to Craver and Povich on the Directionality of Distinctively Mathematical Explanations”, Studies in History and Philosophy of Science Part A, 67: 85–88. (Scholar)
–––, 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)
–––, 2021c, “Ground and Explanation In Mathematics”, Philosophers’ Imprint, 19: 1–18. (Scholar)
–––, 2022, “Challenges facing counterfactual accounts of explanation in mathematics”, Philosophia Mathematica, 1–27. (Scholar)
Lehet, E., 2019, “Induction and Explanatory Definitions in Mathematics”, Synthese, 198: 1161–1175. (Scholar)
–––, 2021, “Mathematical Explanation in Practice”, Axiomathes, 31(5): 553–574. (Scholar)
Leng, M., 2010, Mathematics and Reality, Oxford University Press. (Scholar)
–––, 2016, “Taking Morality Mathematically: Enoch’s Indispensability Argument”, in U. D. Leibowitz & N. Sinclair (eds), Explanation in Ethics and Mathematics, Oxford, UK: Oxford University Press, pp. 204–219. (Scholar)
–––, 2021, “Models, Structures, and the Explanatory Role of Mathematics in Empirical Science”, Synthese, 199: 10415–10440. (Scholar)
Lewis, D., 1973, Counterfactuals, Oxford: Blackwell. (Scholar)
–––, 2004, “Causation as Influence”, in J. Collins, N. Hall, & L. A. Paul, eds., Causation and Counterfactuals, MIT Press, pp. 75–106. (Scholar)
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)
Lyon, A., and M. Colyvan, 2008, “The Explanatory Power of Phase Spaces”, Philosophia Mathematica, 16: 1–17. (Scholar)
Machamer, P., Darden, L., and Craver, C. F., 2000, “Thinking about Mechanisms”, Philosophy of Science, 67: 1–25. (Scholar)
Mancosu, P., 1996, Philosophy of Mathematics and Mathematical Practice in the Seventeenth Century, Oxford: Oxford University Press. (Scholar)
–––, 1999, “Bolzano and Cournot on Mathematical Explanation”, Revue d’Histoire des Sciences, 52: 429– 455. (Scholar)
–––, 2000, “On Mathematical Explanation”, in E. Grosholz and H. Breger (eds.), The Growth of Mathematical Knowledge, Dordrecht: Kluwer, pp. 103–119. (Scholar)
–––, 2001, “Mathematical Explanation: Problems and Prospects”, Topoi, 20: 97–117. (Scholar)
–––, 2008, “Mathematical Explanation: Why it Matters”, in P. Mancosu (ed.), The Philosophy of Mathematical Practice, Oxford University Press, pp. 134–150. (Scholar)
–––, 2021, “Mathematical Style”, The Stanford Encyclopedia of Philosophy (Winter 2021 Edition), Edward N. Zalta (ed.), https://plato.stanford.edu/archives/win2021/entries/mathematical-style/. (Scholar)
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)
–––, 2022, “Structure and Applied Mathematics”, Synthese, 200(373): 1–31. (Scholar)
Marcus, R., 2013, “Intrinsic Explanation and Field’s Dispensabilist Strategy”, International Journal of Philosophical Studies, 21: 163–183. (Scholar)
Melia, J., 2000, “Weaseling Away the Indispensability Argument”, Mind, 109: 455–479. (Scholar)
–––, 2002, “Response to Colyvan”, Mind, 111: 75–79. (Scholar)
Molinini, D., 2011, “Towards a Pluralist Approach to Mathematical Explanation of Physical Phenomena”, Lille: Atelier National de Reproduction des Thèses. (Scholar)
–––, 2012, “Learning from Euler. From Mathematical Practice to Mathematical Explanation”, Philosophia Scientiae, 109: 105–127. (Scholar)
Morrison, M., 2000, Unifying Scientific Theories. Physical Concepts and Mathematical Structures, Cambridge: Cambridge University Press. (Scholar)
–––, 2015, Reconstructing Reality. Models, Mathematics and Simulations, Oxford: Oxford University Press. (Scholar)
–––, 2018, “The Non-Causal Character of Renormalization Group Explanations”, in A. Reutlinger and J. Saatsi (eds.), Explanation beyond Causation, Oxford: Oxford University Press, pp. 206–230. (Scholar)
Nolan, D., 2001, “Impossible Worlds: A Modest Approach”, Notre Dame Journal of Formal Logic, 38: 535–572. (Scholar)
Norton, J., 2012, “Approximation and Idealization: Why the Difference Matters”, Philosophy of Science, 79: 207–232. (Scholar)
Paseau, A., 2010, “Proofs of the Compactness Theorem”, History and Philosophy of Logic, 31: 73–98. (Scholar)
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)
Pincock, C., 2007, “A Role for Mathematics in the Physical Sciences”, Noûs, 41: 253–275. (Scholar)
–––, 2012, Mathematics and Scientific Representation, Oxford: Oxford University Press. (Scholar)
–––, 2015a, “Abstract Explanations in Science”, British Journal for the Philosophy of Science, 66: 857–882. (Scholar)
–––, 2015b, “The Unsolvability of the Quintic: A Case Study in Abstract Mathematical Explanation”, Philosophers’ Imprint, 15 (3). (Scholar)
–––, 2018, “Accommodating Explanatory Pluralism”, in A. Reutlinger and J. Saatsi (eds.), Explanation beyond Causation, Oxford: Oxford University Press, pp. 39–56. (Scholar)
–––, 2023, Mathematics and Explanation, Cambridge Elements in the Philosophy of Mathematics, Cambridge University Press. (Scholar)
Poggiolesi, F., forthcoming, “Mathematical Explanations: an Analysis via Formal Proofs and Conceptual Complexity”, Philosophia Mathematica.
Poggiolesi, F. and Genco, F., 2023, “Conceptual (and hence Mathematical) Explanation, Conceptual Grounding, and Proof”, Erkenntnis, 88: 1481–1507. (Scholar)
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)
–––, 2021, “The Narrow Ontic Counterfactual Account of Distinctively Mathematical Explanation” The British Journal for the Philosophy of Science, 72: 511–543. (Scholar)
–––, 2023, “A Scheme Foiled: A Critique of Baron’s Account of Extra-mathematical Explanation”, Mind, 132(526): 479–492. (Scholar)
Priest, G., 2002, Beyond the Limits of Thought, Oxford University Press. (Scholar)
Proclus, 1970, A Commentary on the First Book of Euclid’s Elements, G. R. Morrow (trans.), Princeton: Princeton University Press. (Scholar)
Putnam, H., 2010, Philosophy of Logic, Routledge. (Scholar)
Quine, W. V., 2004, Quintessence: Basic Readings from the Philosophy of W. V. Quine, R. Gibson (ed.), Harvard University Press. (Scholar)
Räz, T., 2017, “The Silent Hexagon: Explaining Comb Structures”, Synthese, 194: 1703–1724. (Scholar)
Resnik, M., and Kushner, D., 1987, “Explanation, Independence, and Realism in Mathematics”, British Journal for the Philosophy of Science, 38: 141–158. (Scholar)
Reutlinger, A., 2016, “Is There a Monist Theory of Causal and Noncausal Explanations? The Counterfactual Theory of Scientific Explanation”, Philosophy of Science, 83: 733–745. (Scholar)
–––, 2017a, “Does the Counterfactual Theory of Explanation Apply to Non-causal Explanations in Metaphysics?”, European Journal for Philosophy of Science, 7: 239–256. (Scholar)
–––, 2017b, “M. Lange, Because without Cause”, Notre Dame Philosophical Reviews, 2017.05.02. [Reutlinger 2017b available online] (Scholar)
–––, 2018, “Extending the Counterfactual Theory of Explanation”, in Reutlinger, A. and Saatsi, J. (eds.), Explanation beyond causation, Oxford University Press, pp. 74–95. (Scholar)
Reutlinger, A., Colyvan, M., and Krzyzanowska, K., 2022, “The Prospects for a Monist Theory of Non-causal Explanation in Science and Mathematics”, Erkenntnis, 87: 1773–1793. (Scholar)
Reutlinger, A., and Saatsi, J. (eds.), 2018, Explanation beyond Causation: Philosophical Perspectives on Non-causal Explanations, Oxford University Press. (Scholar)
Rice, C., 2015, “Moving beyond Causes: Optimality Models and Scientific Explanation”, Noûs, 49: 589–615. (Scholar)
–––, 2018, “Idealized Models, Holistic Distortions, and Universality”, Synthese, 195: 2795–2819. (Scholar)
–––, 2021, Leveraging Distortions: Explanation, Idealization, and Universality in Science, MIT Press. (Scholar)
Rice, C., and Rohwer, Y., 2021, “How to Reconcile a Unified Account of Explanation with Explanatory Diversity”, Foundations of Science, 26: 1025–1047. (Scholar)
Rizza, D., 2011, “Magicicada, Mathematical Explanation and Mathematical Realism”, Erkenntnis, 74: 101–114. (Scholar)
Rizza, D., 2013, “The Applicability of Mathematics: Beyond Mapping Accounts”, Philosophy of Science, 80: 398–412. (Scholar)
Rodriguez, Q., 2021, “Idealizations and analogies: Explaining critical phenomena”, Studies in History and Philosophy of Science Part A, 89: 235–247. (Scholar)
Roski, S., 2017, Bolzano’s Conception of Grounding, Frankfurt am Main: Vittorio Klostermann. (Scholar)
Ross, L. N., 2021, “Distinguishing Topological and Causal Explanation”, Synthese, 198: 9803–9820. (Scholar)
Ryan, P. J., 2021, “Szemerédi’s Theorem: An Exploration of Impurity, Explanation, and Content”, The Review of Symbolic Logic, 1–40. (Scholar)
Salmon, W., 1984, Scientific Explanation and the Causal Structure of the World, Princeton University Press. (Scholar)
–––, 1989, “Four Decades of Scientific Explanation”, in Kitcher, P. and Salmon, W. (eds.), Scientific Explanation, University of Minnesota Press, pp. 3–219. (Scholar)
Saatsi, J., 2007, “Living in Harmony: Nominalism and the Explanationist Argument for Realism”, International Studies in the Philosophy of Science, 21 (1): 19–33. (Scholar)
–––, 2011, “The Enhanced Indispensability Argument”, British Journal for the Philosophy of Science, 63 (1): 143–154. (Scholar)
–––, 2012, “Mathematics and program explanations”, Australasian Journal of Philosophy, 90: 579–584. (Scholar)
–––, 2016, “On the ‘Indispensable Explanatory Role’ of Mathematics”, Mind, 125 (500): 1045–1070. (Scholar)
–––, 2018, “A pluralist account of non-causal explanation in science and mathematics”, Metascience, 27: 3–9.
Saatsi, J., and Pexton, M., 2013, “Reassessing Woodward’s Account of Explanation: Regularities, Counterfactuals, and Non-Causal Explanations”, Philosophy of Science, 80: 613–624. (Scholar)
Salverda, J., 2017, “Characterizing Properties and Explanation in Mathematics”, Logique et Analyse, 60(237): 25–46. (Scholar)
Sandborg, D., 1997, Explanation and Mathematical Practice, Ph. D. Dissertation, University of Pittsburgh. (Scholar)
Sebestik, J., 1992, Logique et Mathématiques chez Bernard Bolzano, Paris: Vrin. (Scholar)
Shapiro, L. A. & Sober, E., 2007, “Epiphenomenalism — the do’s and the don’ts”, in Wolters, G. and Machamer, P. K. (eds.), Thinking About Causes: From Greek Philosophy to Modern Physics, University of Pittsburgh Press, pp. 235–264. (Scholar)
Sinclair, N. and Leibowitz, U. D., 2016, “Introduction: Explanation in Ethics and Mathematics”, in Leibowitz, U. D. and Sinclair, N. (eds.), Explanation in Ethics and Mathematics, Oxford, UK: Oxford University Press, pp. 1–20. (Scholar)
Skow, B., 2015, “Are There Genuine Physical Explanations of Mathematical Phenomena?”, British Journal for the Philosophy of Science, 66: 69–93. (Scholar)
Smithson, R., 2020, “Metaphysical and conceptual grounding,” Erkentnnis, 86: 1501–1525. (Scholar)
Stalnaker, R. C., 1968, “A Theory of Conditionals”, in Rescher, N. (ed.), Studies in Logical Theory, Oxford: Blackwell, pp. 98–112. (Scholar)
Steiner, M., 1978a, “Mathematical Explanation”, Philosophical Studies, 34: 135–151. (Scholar)
–––, 1978b, “Mathematics, Explanation, and Scientific Knowledge”, Noûs, 12: 17. (Scholar)
Street, S., 2006, “A Darwinian Dilemma for Realist Theories of Value”, Philosophical Studies, 127: 109–166. (Scholar)
Strevens, M., 2008, Depth: An Account of Scientific Explanation, Cambridge, MA: Harvard University Press. (Scholar)
–––, 2019, “The Structure of Asymptotic Idealization”, Synthese, 196: 1713–1731. (Scholar)
Suárez, M., 2010, “Scientific representation”, Philosophy Compass, 5.1: 91–101. (Scholar)
–––, 2015, “Representation in Science”, in P. Humpreys (ed.), Oxford Handbook of Philosophy of Science, Oxford, U.K.: Oxford University Press, pp. 440–459. (Scholar)
Sullivan, E., 2019, “Universality Caused: The Case of Renormalization Group Explanation”, European Journal for Philosophy of Science, 9(3): 36. (Scholar)
Tallant, J., 2013, “Optimus Prime: Paraphrasing Prime Number Talk”, Synthese, 190: 2065–2083. (Scholar)
Tegmark, M., 2014, Our Mathematical Universe: My Quest for the Ultimate Nature of Reality. Knopf. (Scholar)
Wakil, S., & Justus, J., 2017, “Mathematical Explanation and the Biological Optimality Fallacy”, Philosophy of Science, 84(5): 916–930. (Scholar)
Weber, E., and Verhoeven, L., 2002, “Explanatory Proofs in Mathematics”, Logique et Analyse, 45 (179–180): 299–307. (Scholar)
Weisberg, M., 2007, “Three Kinds of Idealization”, Journal of Philosophy, 104 (12): 639–659. (Scholar)
Wilhelm, I., 2021, “Comparing Mathematical Explanations”, British Journal for the Philosophy of Science, 1–32. (Scholar)
Wilkenfeld, D., A., 2014, “Functional Explaining: a New Approach to the Philosophy of Explanation”, Synthese, 191: 3367–3391. (Scholar)
Woodward, J., 2003, Making Things Happen: A Theory of Causal Explanation, Oxford University Press. (Scholar)
–––, 2018, “Some Varieties of Non-Causal Explanation”, in Reutlinger, A. and Saatsi, J. (eds.), Explanation beyond Causation, Oxford: Oxford University Press, pp. 117–140. (Scholar)
–––, 2021a, Causation with a Human Face. Oxford University Press. (Scholar)
–––, 2021b, “Explanatory Autonomy: the Role of Proportionality, Stability, and Conditional Irrelevance”, Synthese, 198: 237–265. (Scholar)
Yablo, S., 2012, “Explanation, Extrapolation, and Existence”, Mind, 121(484): 1007–1029. (Scholar)
–––, 2020, “Models and Reality”, in Levy, A. and Godfrey-Smith, P. (eds.), The Scientific Imagination, Oxford University Press, pp. 128–153. (Scholar)
Zelcer, M., 2013, “Against Mathematical Explanation”, Journal for General Philosophy of Science, 44(1): 173–192. (Scholar)

Generated Sun May 11 20:16:39 2025

Applied ethics	Epistemology	History of Western Philosophy	Meta-ethics	Metaphysics	Normative ethics
Philosophy of biology	Philosophy of language	Philosophy of mind	Philosophy of religion	Science Logic and Mathematics	More ...