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14Creation and Discovery in MathematicsIn John Polkinghorne (ed.), Meaning in mathematics, Oxford University Press. 2011.
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13Inseparable Bedfellows: Imagination and Mathematics in Economic ModelingPhilosophy of the Social Sciences 53 (4): 255-280. 2023.In this paper we explore the hypothesis that constrained uses of imagination are crucial to economic modeling. We propose a theoretical framework to develop this thesis through a number of specific hypotheses that we test and refine through six new, representative case studies. Our ultimate goal is to develop a philosophical account that is practice oriented and informed by empirical evidence. To do this, we deploy an abductive reasoning strategy. We start from a robust set of hypotheses and lea…Read more
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11Guest Editor’s IntroductionTheoria: Revista de Teoría, Historia y Fundamentos de la Ciencia 33 (2): 161-163. 2018.
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5Imre Lakatos and Paul Feyerabend, For and Against Method Reviewed byPhilosophy in Review 20 (2): 115-117. 2000.
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3Book reviews (review)International Studies in the Philosophy of Science 12 (2): 197-203. 1998.What is Mathematics, Really?. Reuben Hersh, 1997 New York, Oxford University Press xxiv+343, $CAN 51.95, $US 35.00, ISBN 0–19–511368–3 Philosophy of Mathematics: Structure and Ontology. Stewart Shapiro, 1997. Oxford, Oxford University Press x + 277, $CAN 73.95, ISBN 0–19–509452–2
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2Book reviews (review)International Studies in the Philosophy of Science 13 (2): 195-204. 1999.Naturalism in Mathematics PENELOPE MADDY, 1997 Oxford, Oxford University Press viii + 254 pp., $CAN91, ISBN 0–19–823573–9 Bohmian Mechanics and Quantum Theory: an Appraisal JAMES T. CUSHING, ARTHUR FINE & SHELDON GOLDSTEIN, 1996 Dordrecht, Kluwer viii + 403, pp., US$159.00, ISBN 0–7923–4028–0 Pragmatism as a Principle and Method of Right Thinking: the 1903 Harvard Lectures on Pragmatism CHARLES SANDERS PEIRCE, 1997 Edited and introduced, with a commentary, by PATRICIA ANN TURRISI Albany, State U…Read more
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Mathematical explanation doesn't require mathematical truthIn Shamik Dasgupta, Brad Weslake & Ravit Dotan (eds.), Current Controversies in Philosophy of Science, Routledge. 2020.
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Imre Lakatos and Paul Feyerabend, For and Against Method (review)Philosophy in Review 20 115-117. 2000.
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Proof, Practice, and ProgressDissertation, University of Toronto (Canada). 2002.This thesis presents an anti-realist account of mathematics as 'recreational', and argues that such a view can answer the central dilemma for the philosophy of mathematics as presented in Benacerraf's 'Mathematical Truth'. I argue that we should only be satisfied with a naturalistic solution to this dilemma, where I understand 'naturalism' minimally as requiring natural scientific explanations of our mathematical knowledge. In Chapter 2 I thus discuss several broadly naturalist attempts to under…Read more