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33What Philosophy of Mathematical Practice Can Teach Argumentation Theory About Diagrams and PicturesIn Andrew Aberdein & Ian J. Dove (eds.), The Argument of Mathematics, Springer. pp. 239--253. 2013.
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47Paolo Mancosu, ed. The Philosophy of Mathematical Practice. Oxford: Oxford University Press, 2008. ISBN 978-0-19-929645-3. Pp. xi + 447: Critical Studies/Book Reviews (review)Philosophia Mathematica 18 (3): 350-360. 2010.(No abstract is available for this citation)
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90What can the Philosophy of Mathematics Learn from the History of Mathematics?Erkenntnis 68 (3): 393-407. 2008.This article canvasses five senses in which one might introduce an historical element into the philosophy of mathematics: 1. The temporal dimension of logic; 2. Explanatory Appeal to Context rather than to General Principles; 3. Heraclitean Flux; 4. All history is the History of Thought; and 5. History is Non-Judgmental. It concludes by adapting Bernard Williams’ distinction between ‘history of philosophy’ and ‘history of ideas’ to argue that the philosophy of mathematics is unavoidably historic…Read more
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339Two CulturesCogito 12 (1): 13-16. 1998.The schism between analytic and continental philosophy resists repair because it is not confined to philosophers. It is a local manifestation of a far more profound and pervasive division. In 1959 C.P. Snow lamented the partition of intellectual life in to `two cultures': that of the scientist and that of the literary intellectual. If we follow the practice of most universities and bundle historical and literary studies together in the faculty of humanities on the one hand, and count pure mathem…Read more
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129Moral particularism and scientific practiceMetaphilosophy 39 (4-5): 492-507. 2008.Abstract: Particularism is usually understood as a position in moral philosophy. In fact, it is a view about all reasons, not only moral reasons. Here, I show that particularism is a familiar and controversial position in the philosophy of science and mathematics. I then argue for particularism with respect to scientific and mathematical reasoning. This has a bearing on moral particularism, because if particularism about moral reasons is true, then particularism must be true with respect to reas…Read more
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123Imre Lakatos and Paul Feyerabend for and against method: Including Lakatos's lectures on scientific method and the Lakatos–Feyerabend correspondence (review)British Journal for the Philosophy of Science 51 (4): 919-922. 2000.
Areas of Specialization
Philosophy of Mathematics |
Areas of Interest
Logic and Philosophy of Logic |
Philosophy of Mathematics |