Philosophy of Mathematics papers

Philosophy of Mathematics papers

"Full-Blooded Platonism," Forthcoming in An Historical Introduction to the Philosophy of Mathematics, Bloomsbury Press

Mill and the Philosophy of Mathematics,” Mill’s A System of Logic: Critical Appraisals, A. Loizides (ed.), Routledge, 2014, pp. 83-100.

 “A Guide for the Perplexed: What Mathematicians Need to Know to Understand Philosophers of Mathematics,” Mathematical Intelligencer, vol. 36 (2014), pp. 3-8.

 “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. 

Fictionalism in the Philosophy of Mathematics,” in Oxford Bibliographies in Philosophy, 2012.

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.