Linked bibliography for the SEP article "Explanation in Mathematics" by Paolo Mancosu |
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- Aristotle, [BWA], 1941, The Basic Works of Aristotle, ed. by R. McKeon, New York: Random House. (Scholar)
- –––, [CWA], 1984, The Complete Works of Aristotle, ed. by J. Barnes, Princeton: Princeton University Press. (Scholar)
- Asbaugh, M. S., C. C. Chicone, and R. H. Cushman, 1991, “The Twisting Tennis Racket”, Journal of Dynamics and Differential Equations, 3 (1): 67–85. (Scholar)
- Baker, A., 2005, “Are there Genuine Mathematical Explanations of Physical Phenomena?”, Mind, 114: 223–238. (Scholar)
- –––, 2009a, “Mathematical Explanation in Science”, British Journal for the Philosophy of Science, 60: 611–633. (Scholar)
- –––, 2009b, “Mathematical Induction and Explanation”, Analysis, 70: 681–690. (Scholar)
- –––, 2009c, “Mathematical Accidents and the End of Explanation”, in O. Bueno and Ø. Linnebo, New Waves in Philosophy of Mathematics, London: Palmgrave, MacMillan, 137–159. (Scholar)
- –––, 2011, “Science-Driven Mathematical Explanation”, Mind, forthcoming. (Scholar)
- Baker, A., and M. Colyvan, 2011, “Indexing and Mathematical Explanation”, Philosophia Mathematica, 19 (3): 323–334. (Scholar)
- Bangu, S. I., 2008, “Inference to the Best Explanation and Mathematical Realism”, Synthese, 160: 13–20. (Scholar)
- Batterman, R., 2002, The Devil in the Details. Asymptotic Reasoning in Explanation, Reduction, and Emergence, Oxford: Oxford University Press. (Scholar)
- –––, 2010, “On the Explanatory Role of Mathematics in Empirical Science”, British Journal for the Philosophy of Science, 61: 1–25. (Scholar)
- Betti, A., 2010, “Explanation in Metaphysics and Bolzano's Theory of Ground and Consequence”, Logique et Analyse, 56 (211): 281–316. (Scholar)
- Bueno, O. and M. Colyvan, 2011, “An inferential conception of the application of mathematics”, Noûs, forthcoming. (Scholar)
- Brumfiel, G., 1979, Partially Ordered Rings and Semi-algebraic Geometry, Cambridge: Cambridge University 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)
- Colyvan, M., 2001, The Indispensability of Mathematics, Oxford: Oxford University Press. (Scholar)
- –––, 2002, “Mathematics and Aesthetic Considerations in Science”, Mind, 11: 69–78. (Scholar)
- Cournot, A., 1851, Essai sur les fondements de nos connaissances philosophiques et sur le caractère de la critique philosophique, in Oeuvres complètes, Volume II, J.C. Pariente (ed.), 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)
- Daly, C., and S. Langford, 2009, “Mathematical Explanation and Indispensability Arguments”, The Philosophical Quarterly, 59: 641–658. (Scholar)
- De Regt, H., 2009, “The Epistemic Value of Understanding ”, Philosophy of Science, 76: 585–597. (Scholar)
- Field, H., 1980, Science without Numbers: A defence of Nominalism, Oxford: Blackwell. (Scholar)
- –––, 1989, Realism, Mathematics, and Modality, Oxford: Blackwell. (Scholar)
- Friedman, M., 1974, “Explanation and Scientific Understanding”, The Journal of Philosophy, 71: 5–19. (Scholar)
- Gingras, Y., 2001, “What did Mathematics do to Physics?”, History of Science, 39: 383–416. (Scholar)
- Hafner, J. and P. Mancosu, 2005, “The Varieties of Mathematical Explanation”, in P. Mancosu et al. (eds.), Visualization, Explanation and Reasoning Styles in Mathematics, Berlin: Springer, 215–250. (Scholar)
- –––, 2008, “Beyond Unification”, in P. Mancosu (ed.), The Philosophy of Mathematical Practice, Oxford: Oxford University Press, 151–178. (Scholar)
- Hales, T., 2000, “Cannonballs and Honeycombs”, Notices of the American Mathematical Society, 47: 440–449. (Scholar)
- –––, 2001, “The Honeycomb Conjecture”, Discrete and Computational Geometry, 25: 1–22. (Scholar)
- Hanna, G., H. N. Jahnke, and H. Pulte, eds., 2010, Explanation and Proof in Mathematics. Philosophical and Educational Perspectives, New York: Springer. (Scholar)
- Harari, O., 2008, “Proclus' Account of Explanatory Demonstrations in Mathematics and its Context”, Archiv für Geschichte der Philosophie, 90: 137–164. (Scholar)
- Kim, J., 1994, “Explanatory Knowledge and Metaphysical Dependence”, Philosophical Issues, 5: 51–69. (Scholar)
- Kitcher, P., 1975, “Bolzano's Ideal of Algebraic Analysis”, Studies in History and Philosophy of Science, 6: 229–269. (Scholar)
- –––, 1981, “Explanatory Unification”, Philosophy of Science, 48: 507–531. (Scholar)
- –––, 1984, The Nature of Mathematical Knowledge, OxfordL Oxford University Press. (Scholar)
- –––, 1989, “Explanatory Unification and the Causal Structure of the World”, in P. Kitcher & W. Salmon, eds., Scientific Explanation, (Minnesota Studies in the Philosophy of Science, Volume XIII), Minneapolis: University of Minnesota Press, 410–505. (Scholar)
- Lange, M., 2009, “Dimensional Explanations”, Noûs, 43: 742–775. (Scholar)
- –––, 2010a, “Why Proofs by Mathematical Induction are Generally not Explanatory”, Analysis, 69: 203–211. (Scholar)
- –––, 2010b, “What Are Mathematical Coincidences (and Why does it Matter)?”, Mind, 119: 307–340. (Scholar)
- Leng, M., 2005, “Mathematical Explanation”, in C. Cellucci and D. Gillies, eds., Mathematical Reasoning and Heuristics, London: King's College Publications, 167–189. (Scholar)
- –––, 2010. Mathematics and Reality, Oxford: Oxford University Press. (Scholar)
- Lipton, P., 2004, “What Good is an Explanation”, in J. Cornwell, ed., Explanations. Styles of Explanation in Science, Oxford: Oxford University Press, 1–21. (Scholar)
- Lyon, A., and M. Colyvan, 2008, “The Explanatory Power of Phase Spaces”, Philosophia Mathematica, 16: 1–17 (Scholar)
- Malament, D., 1982, “Review of Field's Science without Numbers”, Journal of Philosophy, 79: 523–534. (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, 103–119 (Scholar)
- –––, 2001, “Mathematical Explanation: Problems and Prospects”, Topoi, 20: 97–117. (Scholar)
- –––, 2008a, ed., The Philosophy of Mathematical Practice, Oxford: Oxford University Press.
- –––, 2008b, “Mathematical Explanation: Why it matters”, in P. Mancosu, ed., The Philosophy of Mathematical Practice, Oxford: Oxford University Press, 134–150. (Scholar)
- Mancosu, P., K. Jørgensen and S. Pedersen, eds., 2005, Visualization, Explanation and Reasoning Styles in Mathematics, Berlin: Springer. (Scholar)
- Melia, J., 2000, “Weaseling Away the Indispensability Argument”, Mind, 109: 455–479. (Scholar)
- –––, 2002, “Response to Colyvan”, Mind, 111: 75–79. (Scholar)
- Minio, R., 1984, “An Interview with Michael Atiyah”, The Mathematical Intelligencer, 6: 9–19. (Scholar)
- Molinini, D., 2011, “Learning from Euler. From Mathematical Practice to Mathematical Explanation”, Philosophia Scientiae, forthcoming (Scholar)
- Morrison, M., 2000, Unifying Scientific Theories. Physical Concepts and Mathematical Structures, Cambridge: Cambridge University Press. (Scholar)
- Owens, D., 1992, Causes and Coincidences, Cambridge: Cambridge University Press. (Scholar)
- Paseau, A., 2010, “Proofs of the Compactness Theorem”, History and Philosophy of Logic, 31: 73–98. (Scholar)
- Pincock, C., 2011a, “On Batterman's ‘On the Explanatory Role of Mathematics in Empirical Science’”, British Journal for the Philosophy of Science, 62: 211–217. (Scholar)
- Pincock, C., 2011b, “Mathematical Explanations of the Rainbow”, Studies in History and Philosophy of Modern Physics, forthcoming. (Scholar)
- –––, 2011c, Mathematics and Scientific Repesentation, Oxford: Oxford University Press, forthcoming. (Scholar)
- Proclus, A Commentary on the First Book of Euclid's Elements, translated by G. R. Morrow, Princeton: Princeton University Press, 1970.
- Rizza, D., 2011, “Magicicada, Mathematical Explanation and Mathematical Realism”, Erkenntnis, 74: 101–114. (Scholar)
- Robinson, J. A., 2000, “Proof = Guarantee + Explanation”, in S. Hölldobler (ed.), Intellectics and Computational Logic, Dordrecht: Kluwer, 277–294. (Scholar)
- Resnik, M., and D. Kushner, 1987, “Explanation, Independence, and Realism in Mathematics”, British Journal for the Philosophy of Science, 38: 141–158. (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)
- –––, 2010, “The Enhanced Indispensability Argument”, British Journal for the Philosophy of Science, forthcoming. (Scholar)
- Sandborg, D., 1997, Explanation and Mathematical Practice, Ph. D. Dissertation, University of Pittsburgh. (Scholar)
- –––, 1998, “Mathematical Explanation and the Theory of Why-Questions”, British Journal for the Philosophy of Science, 49: 603–624. (Scholar)
- Shapiro, S., 2000, Thinking About Mathematics, Oxford: Oxford University Press. (Scholar)
- Steiner, M., 1978a, “Mathematical Explanation”, Philosophical Studies, 34: 135–151. (Scholar)
- –––, 1978b, “Mathematics, Explanation, and Scientific Knowledge”, Noûs, 12: 17–28. (Scholar)
- –––, 1998, The Applicability of Mathematics as a Philosophical Problem, Cambridge, MA: Harvard University Press. (Scholar)
- –––, 2005, “Mathematics—Applications and Applicability”, in S. Shapiro (ed.), The Oxford Handbook of Philosophy of Mathematics and Logic, Oxford: Oxford University Press, 625–650. (Scholar)
- Tappenden, J., 2005, “Proof Style and Understanding in Mathematics I: Visualization, Unification and Axiom Choice”, in P. Mancosu, K. Jørgensen and S. Pedersen (eds.), Visualization, Explanation and Reasoning Styles in Mathematics, Berlin: Springer, 147–214. (Scholar)
- Weber, E., and L. Verhoeven, 2002, “Explanatory Proofs in Mathematics”, Logique et Analyse, VOLUME: 179–180, 2002 [appeared 2004], 299–307. (Scholar)
- Wigner, E., 1967, “The Unreasonable Effectiveness of Mathematics in the Natural Sciences”, in Symmetries and Reflections, Bloomington: Indiana University Press, 222–237. (Scholar)
- Woodward, J., 2003, Making Things Happen: A Theory of Causal Explanation, Oxford: Oxford University Press. (Scholar)
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