•  42
    Economics and Rationality
    Philosophy Now 15 13-16. 1996.
  •  307
    What is dialectical philosophy of mathematics?
    Philosophia Mathematica 9 (2): 212-229. 2001.
    The late Imre Lakatos once hoped to found a school of dialectical philosophy of mathematics. The aim of this paper is to ask what that might possibly mean. But Lakatos's philosophy has serious shortcomings. The paper elaborates a conception of dialectical philosophy of mathematics that repairs these defects and considers the work of three philosophers who in some measure fit the description: Yehuda Rav, Mary Leng and David Corfield.
  •  989
    Two Cultures
    Cogito 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
  •  209
    Moral particularism and scientific practice
    Metaphilosophy 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
  • Proceedings of the Symposium on Mathematical Practice and Cognition Ii: A Symposium at the Aisb/Iacap World Congress 2012 (edited book)
    Society for the Study of Artificial Intelligence and the Simulation of Behaviour. 2012.
  • The Philosophy of Mathematics of Imre Lakatos
    Dissertation, Oxford University. 1995.
    DPhil dissertation, University of Oxford.
  •  50
    Peevish Popperian Philosophy of Science
    Metascience 17 (1): 127-130. 2008.
  • Michael Detlefsen, ed., "Proof and Knowledge in Mathematics" (review)
    International Journal of Philosophical Studies 2 (1): 149. 1994.
  •  277
  •  885
    Williams on Dawkins – response
    Think 9 (26): 21-27. 2010.
    Peter Williams complains that Richard Dawkins wraps his naturalism in ‘a fake finery of counterfeit meaning and purpose’. For his part, Williams has wrapped his complaint in an unoriginal and inapt analogy. The weavers in Hans Christian Andersen's fable announce that the Emperor's clothes are invisible to stupid people; almost the whole population pretends to see them for fear of being thought stupid . Fear of being thought stupid does not seem to trouble Richard Dawkins. Moreover, Williams offe…Read more