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Philosophy of Mathematics, an Introduction to the World of Proofs and PicturesBulletin of Symbolic Logic 9 (4): 504-506. 2003.
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96
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43Comments and RepliesCroatian Journal of Philosophy 7 (2): 249-268. 2007.I reply to a number of papers (published in Croatian Journal of Philosophy 7 [2007], 29-92 and in this issue) that stem from a conference in Rijeka on thought experinlents. These are papers by Ana Butković, Dave Davies, Boris Grozdanoff, Dunja Jutronić, Nenad Miščević, Ksenija Puškarić, and Irina Starikova. Their criticisms of my views are diverse, but one theme, perhaps inevitably, dominates the criticisms: the unworkability of my Platonism. I try to defend this and to adequately answer other c…Read more
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164Katerina Ierodiakonou and Sophie Roux, eds. Thought Experiments in Methodological and Historical Contexts. Leiden: Brill, 2011. Pp. vii+233. €99.00 (review)Hopos: The Journal of the International Society for the History of Philosophy of Science 3 (1): 154-157. 2013.
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73Intellectual tithingInternational Studies in the Philosophy of Science 12 (1). 1998.No abstract.
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193Grounding Concepts: an Empirical Basis for Arithmetical Knowledge – C.S. JenkinsPhilosophical Quarterly 61 (242): 208-211. 2011.
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38Roy Sorensen, Thought Experiments. Oxford and New York: Oxford University Press1992. Pp. xii + 318Canadian Journal of Philosophy 25 (1): 135-142. 1995.
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60The best philosophy of science during the last generation has been highly historical; and the best history of science, highly philosophical. No one has better exemplified this intimate relationship between history and philosophy than has Robert E. Butts in his work. Through out his numerous writings, science, its philosophy, and its history have been treated as a seamless web. The result has been a body of work that is sensitive in its conception, ambitious in its scope, and illuminat ing in its…Read more
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69Appearance in this list neither guarantees nor precludes a future review of the bookMind 117 (468): 468. 2008.
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107Foundations without Foundationalism: A Case for Second-Order LogicStewart Shapiro Oxford: Oxford University Press, 1991, xx + 277 pp (review)Dialogue 35 (3): 624-626. 1996.Book review.
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38Book reviews (review)International Studies in the Philosophy of Science 9 (2): 157-188. 1995.Science as Salvation: a Modern Myth and its Meaning, Mary Midgley, 1994. London, Routledge x +256pp., Hb 04 15062713, £35; Pb 04 15107733, £8.99 Philosophical Naturalism, David Papineau, 1993 Oxford, Basil Blackwell xii +219pp., Hb 0631189025, £40; Pb 0631189033, £14.99 F. H. Bradley, Writings on Logic and Metaphysics, James W. Allard & Guy Stock (Eds), 1994. Oxford, Clarendon Press xv+357pp, Hb 0–198–24445–2, £40.00; Pb 0–198–24438‐X, £14.95 Invariance and Heuristics: Essays in Honour of Heinz …Read more
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2513Thought Experiments: State of the ArtIn Michael T. Stuart, Yiftach Fehige & James Robert Brown (eds.), The Routledge Companion to Thought Experiments, Routledge. pp. 1-28. 2018.This is the introduction to the Routledge Companion to Thought Experiments
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64Another fine footnote to Plato: Sam Cowling: Abstract entities. Milton Park, UK and New York: Routledge, x+281pp, £31.99 PBMetascience 27 (3): 477-480. 2018.
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67A Sense of the Future: Essays in Natural Philosophy. By Jacob Bronowski. Cambridge, Mass: M.I.T. Press, 1977 xi + 286 pages. $12.50 (review)Dialogue 18 (2): 254-257. 1979.
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Philosophy of Mathematics: An Introduction to the World of Proofs and PicturesErkenntnis 54 (3): 404-407. 2001.
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46Mathematical NarrativesEuropean Journal of Analytic Philosophy 10 (2): 59-73. 2014.Philosophers and mathematicians have different ideas about the difference between pure and applied mathematics. This should not surprise us, since they have different aims and interests. For mathematicians, pure mathematics is the interesting stuff, even if it has lots of physics involved. This has the consequence that picturesque examples play a role in motivating and justifying mathematical results. Philosophers might find this upsetting, but we find a parallel to mathematician’s attitudes in …Read more
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148How Do Feynman Diagrams Work?Perspectives on Science 26 (4): 423-442. 2018.Feynman diagrams are now iconic. Like pictures of the Bohr atom, everyone knows they have something important to do with physics. Those who work in quantum field theory, string theory, and other esoteric fields of physics use them extensively. In spite of this, it is far from clear what they are or how they work. Are they mere calculating tools? Are they somehow pictures of physical reality? Are they models in any interesting sense? Or do they play some other kind of role?It is safe to say they …Read more
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98IntroductionPerspectives on Science 26 (4): 419-422. 2018.Feynman diagrams have fascinated physicists and philosophers since they were introduced to the world about 70 years ago. Clearly, they help in calculation; they have allowed nearly impossible problems to be solved with relative ease. This is agreed by all, but that is probably where the consensus ends. Are they pictures of physical processes? Are they just devices for keeping track of mathematical formulae, that do the real work? Are they some sort of mix of both?They are almost as famous as rep…Read more
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48Smoke and Mirrors: How Science Reflects RealityBritish Journal for the Philosophy of Science 45 (4): 1059-1062. 1994.
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184Philosophy of Mathematics: An Introduction to the World of Proofs and PicturesMind 113 (449): 154-157. 2004.
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144Scientific Rationality: The Sociological Turn. James Robert Brown (review)Philosophy of Science 57 (1): 170-172. 1990.
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42Book reviewsInternational 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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University of Toronto, St. George CampusDepartment of Philosophy
Institute for the History and Philosophy of ScienceRetired faculty
Toronto, Ontario, Canada
Areas of Specialization
| Science, Logic, and Mathematics |