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225Boghossian on externalism and privileged accessAnalysis 59 (1): 52-59. 1999.Boghossian has argued that Putnam's externalism is incompatible with privileged access, i.e., the claim that a subject can have nonempirical knowledge of her thought contents ('What the externalist can know a priori', PAS 1997). Boghossian's argument assumes that Oscar can know a priori that (1) 'water' aims to name a natural kind; and (2) 'water' expresses an atomic concept. However, I show that if Burge's externalism is correct, then these assumptions may well be false. This leaves Boghossian …Read more
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Philosophy of science: the key thinkers (edited book)Bloomsbury Academic. 2021.From the 19th century the philosophy of science has been shaped by a group of influential figures. Who were they? Why do they matter? This introduction brings to life the most influential thinkers in the philosophy of science, uncovering how the field has developed over the last 200 years. Taking up the subject from the time when some philosophers began to think of themselves not just as philosophers but as philosophers of science, a team of leading contemporary philosophers explain, criticize a…Read more
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11Miščević: Mental Models and MoreCroatian Journal of Philosophy 24 (71): 147-153. 2024.This is a review discussion of Nenad Miščević’s stimulating new book, Thought Experiments (2022). His mental models account is of great importance in the various current debates about the nature of thought experiments. I discuss some of the pros and cons of his account.
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Praise for the first edition: "Cogent, lively, enthusiastic...A wonderfully stimulating book, highly recommended"---Choice --
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19Legitimate Mathematical MethodsCroatian Journal of Philosophy 20 (1): 1-6. 2020.A thought experiment involving an omniscient being and quantum mechanics is used to justify non-deductive methods in mathematics. The twin prime conjecture is used to illustrate what can be achieved.
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207Can the dimples on a golf ball be evenly spaced?Analysis 84 (3): 457-464. 2024.Surprisingly, the dimples on a golf ball (typically around 300-400) cannot be spaced evenly on the surface. I will explain how this is connected to the Platonic solids. The example is interesting, because it illustrates a difference between efficient and formal causation and explanation. I will discuss a few interesting consequences.
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15Thought ExperimentsIn W. Newton-Smith (ed.), A companion to the philosophy of science, Blackwell. 2000.We need only list a few of the well‐known thought experiments to be reminded of their enormous influence and importance in the sciences: Newton's bucket, Maxwell's demon, Einstein's elevator, Heisenberg's gamma‐ray microscope, Schrödinger's cat. The seventeenth century saw some of its most brilliant practitioners in Galileo, Descartes, Newton, and Leibniz. And in our own time, the creation of quantum mechanics and relativity are almost unthinkable without the crucial role played by thought exper…Read more
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7Mathematics, Role in ScienceIn W. Newton-Smith (ed.), A companion to the philosophy of science, Blackwell. 2000.We count apples and divide a cake so that each guest gets an equal piece; we weigh galaxies and use Hilbert spaces to make amazingly accurate predictions about spectral lines. It would seem that we have no difficulty in applying mathematics to the world; yet the role of mathematics in its various applications is surprisingly elusive. Eugene Wigner has gone so far as to say that “the enormous usefulness of mathematics in the natural sciences is something bordering on the mysterious and that there…Read more
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5Social Factors in ScienceIn W. Newton-Smith (ed.), A companion to the philosophy of science, Blackwell. 2000.Although there has long been an interest in how social factors play a role in science, recent years have seen a remarkable growth of attention to the issue. There are quite different ways in which social influences might function, some of which are more controversial than others.
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24Ethics and the Continuum HypothesisIn Nicolas Fillion, Robert M. Corless & Ilias S. Kotsireas (eds.), Algorithms and Complexity in Mathematics, Epistemology, and Science: Proceedings of 2015 and 2016 Acmes Conferences, Springer New York. pp. 1-16. 2019.Mathematics and ethics are surprisingly similar. To some extent this is obvious, since neither looks to laboratory experiments nor sensory experience of any kind as a source of evidence. Both are based on reason and something commonly call “intuition.” This is not all. Interestingly, mathematics and ethics both possess similar distinctions between pure and applied. I explore some of the similarities and draw methodological lessons from them. We can use these lessons to explore how and why Freili…Read more
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27Über das Leben im Labor des GeistesDeutsche Zeitschrift für Philosophie 59 (1): 65-73. 2011.Thought experiments have a long and illustrious history. But in spite of their acknowledged importance, there has until recently been remarkably little said about them. How do they work? Why do they work? What are the different ways in which they work? And above all: How is it possible that just by thinking we can learn something new about the world? This paper surveys some of the recent approaches, including my own , and discusses their various prospects. Chief among the alternatives is John No…Read more
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49William H. Newton-Smith (1943–2023)International Studies in the Philosophy of Science 35 (2): 205-208. 2023.William (Bill) Newton-Smith was a renowned Canadian philosopher of science who spent his career largely in Oxford and then at the Central European University in Hungary.Newton-Smith was born in Ori...
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14Learning from the PastIn James Robert Brown & Jürgen Mittelstrass (eds.), An Intimate Relation: Studies in the History and Philosophy of Science Presented to Robert E. Butts on His 60th Birthday (Boston Studies in the Philosophy of Science), Springer. pp. 343-367. 1989.Here is a big fact: Scientists are good at doing science. It seems a platitude, yet there are those, such as David Bloor, who would deny it.1 On the other hand, most people, including most philosophers, would agree that scientists are good at doing science; nevertheless, these same philosophers don’t seem to think this fact is in any way interesting or important. But it is. There are few facts in philosophy; let’s not let this one slip through our fingers.KeywordsRational ExplanationMatthew Effe…Read more
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40Rigour and Thought Experiments: Burgess and NortonAxiomathes 32 (1): 7-28. 2022.This article discusses the important and influential views of John Burgess on the nature of mathematical rigour and John Norton on the nature of thought experiments. Their accounts turn out to be surprisingly similar in spite of different subject matters. Among other things both require a reconstruction of the initial proof or thought experiment in order to officially evaluate them, even though we almost never do this in practice. The views of each are plausible and seem to solve interesting pro…Read more
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70Otavio Bueno and Steven French. Applying Mathematics: Immersion, Inference, Interpretation (review)Philosophy of Science 87 (1): 207-211. 2020.
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52Keith Parsons , The Science Wars: Debating Scientific Knowledge and Technology. Amherst, NY: Prometheus Books , 300 pp., $21 (review)Philosophy of Science 72 (3): 523-525. 2005.
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77Thought Experiments and Inertial Motion: A Golden Thread in the Development of MechanicsRivista di Estetica 42 71-96. 2009.The history of mechanics has been extensively investigated in a number of historical works. The full story from the Greeks and medievals through the Scientific Revolution to the modern era is long and complex. But it is also incomplete. Studies to date have been admirably thorough in putting empirical discoveries into proper perspective and in making clear the great importance of mathematical innovations. But there has been surprisingly little regard for the role of thought experiments in the de…Read more
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54James Robert Brown. Philosophy of mathematics, an introduction to the world of proofs and pictures. Routledge, 1999, vii + 215 pp (review)Bulletin of Symbolic Logic 9 (4): 504-506. 2003.
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1Reviel Netz, the shaping of deduction in greek mathematics (review)Philosophia Mathematica 9 (2): 248-251. 2001.
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56Postmodernism and Science Education: An AppraisalIn Michael R. Matthews (ed.), International Handbook of Research in History, Philosophy and Science Teaching, Springer. pp. 1057-1086. 2014.Over the past 50 years, postmodernism has been a progressively growing and influential intellectual movement inside and outside the academy. Postmodernism is characterised by rejection of parts or the whole of the Enlightenment project that had its roots in the birth and embrace of early modern science. While Enlightenment and ‘modernist’ ideas of universalism, of intellectual and cultural progress, of the possibility of finding truths about the natural and social world and of rejection of absol…Read more
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34Constructivism and science: essays in recent German philosophy (edited book)Kluwer Academic Publishers. 1989.The idea to produce the current volume was conceived by Jiirgen Mittelstrass and Robert E. Butts in 1978. Idealist philosophers are wrong about one thing: the temporal gap separating idea and reality can be very long indeed - even ten or so years! Problems of timing were joined by personal problems and by the pressure of other professional commitments. Fortunately, James Brown agreed to cooperate in the editing of the volume; the infusion of his usual energy, good judgement and good-natured prom…Read more
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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 |