| Philosophy of Mathematics papers |
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"Why Mathematical Fictionalism Isn't Psychologistic," The Journal of Consciousness Studies, vol. 24 (2017), pp. 103-11. |
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"Mathematical Pluralism and Platonism," The Journal of the Indian Council of Philosophical Research, vol. 34 (2017), pp. 379-398. |
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"Full-Blooded Platonism," An Historical Introduction to the Philosophy of Mathematics, R. Marcus and M. McEvoy (eds.), Bloomsbury Press, 2016, pp. 719-732. |
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"Mill and the Philosophy of Mathematics," Mill's A System of Logic: Critical Appraisals, A. Loizides (ed.), Routledge, 2014, pp. 83-100. |
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"A Guide for the Perplexed: What Mathematicians Need to Know to Understand Philosophers of Mathematics," Mathematical Intelligencer, vol. 36 (2014), pp. 3-8. |
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“Structures, fictions, and the explanatory epistemology of mathematics in science,” (with Elaine Landry, Sorin Bangu, and Christopher Pincock), Metascience, vol. 22 (2013), pp. 247-73. |
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“Fictionalism in the Philosophy of Mathematics,” in Oxford Bibliographies in Philosophy, 2012. |
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“Reply to Armour-Garb,” Philosophia Mathematica, vol. 19 (2011), pp. 34-48. |
| "Fictionalism, Mathematical Facts, and Logical/Modal Facts," Fictions and Models, J. Woods (ed.), Philosophia Verlag, 2010, pp. 149-189. |
| "Fictionalism, Theft, and the Story of Mathematics," Philosophia Mathematica, vol. 17 (2009), pp. 131-162. |
| "Realism and Anti-Realism in Mathematics," in Philosophy of Mathematics (Handbook of the Philosophy of Science), A. D. Irvine (ed.), Amsterdam: Elsevier/North-Holland, 2009, pp. 35-101. |
| "Mathematical Platonism," in Proof and Other Dilemmas: Mathematics and Philosophy, B. Gold and R. A. Simons (eds.), Mathematical Association of America Publications, 2008, pp. 179-204. |
| "A Theory of Mathematical Correctness and Mathematical Truth," Pacific Philosophical Quarterly, vol. 82 (June 2001), pp. 87-114. |
| "Reply to Dieterle," Philosophia Mathematica, vol. 8 (October 2000), pp. 310-315. |
| "Non-Uniqueness as a Non-Problem," Philosophia Mathematica, vol. 6 (1998), pp. 63-84. |
| "Towards a Nominalization of Quantum Mechanics," Mind, vol. 105 (1996), pp. 209-26. |
| "A Fictionalist Account of the Indispensable Applications of Mathematics," Philosophical Studies, vol. 83 (1996), pp. 291-314. |
| "A Platonist Epistemology," Synthese, vol. 103 (1995), pp. 303-25. |
| "Patlonismo Pleno," Analisis Filosofico, vol. 14 (1994), pp. 131-48. (Note: this journal is published in Argentina, at the University of Buenos Aires.) |
| "Against (Maddian) Naturalized Platonism," Philosophia Mathematica, vol. 2 (1994), pp. 97-108. |
| "Why Mathematical Fictionalism Isn't Psychologistic," Journal of Consciousness Studies, vol. 24 (2017), pp. 103-11. |