•  125
    In applying Bayes’s theorem to the history of science, Bayesians sometimes assume – often without argument – that they can safely ignore very implausible theories. This assumption is false, both in that it can seriously distort the history of science as well as the mathematics and the applicability of Bayes’s theorem. There are intuitively very plausible counter-examples. In fact, one can ignore very implausible or unknown theories only if at least one of two conditions is satisfied: (i) one is …Read more
  •  4
    Small is Beautiful
    Thinking: The Journal of Philosophy for Children 9 (1): 38-41. 1990.
  •  76
    Philosophy Discussions With Less B.S
    Teaching Philosophy 18 (1): 15-30. 1995.
    The purpose of this paper is to explore various pedagogical tools that facilitate productive and effective classroom discussion in philosophy courses. Adequate preparation for classroom discussion is not merely a matter of doing the assigned reading, but requires students to take careful notes on the reading, to read the text systematically, and to compose questions. Instead of teaching students remedial reading skills, the author suggests a series of assignments (in and outside of class) that h…Read more
  •  138
    Could Lakatos, even with Zahar's criterion for novel fact, evaluate the copernican research programme?
    British Journal for the Philosophy of Science 43 (2): 161-200. 1992.
    Why did Copernicus's research programme supersede Ptolemy's?’, Lakatos and Zahar argued that, on Zahar's criterion for ‘novel fact’, Copernican theory was objectively scientifically superior to Ptolemaic theory. They are mistaken, Lakatos and Zahar applied Zahar's criterion to ‘a historical thought-experiment’—fictional rather than real history. Further, in their fictional history, they compared Copernicus to Eudoxus rather than Ptolemy, ignored Tycho Brahe, and did not consider facts that would…Read more
  •  34
    Sherlock Holmes, Galileo, and the Missing History of Science
    PSA: Proceedings of the Biennial Meeting of the Philosophy of Science Association 1994. 1994.
    There is a common (although not universal) claim among historians and philosophers that Copernican theory predicted the phases of Venus. This claim ignores a prominant feature of the writings of, among others, Copernicus, Galileo and Kepler-the possibility that Venus might be self illuminating or translucent. I propose that such over-simplifications of the history of science emerges from "psychological predictivism", the tendency to infer from "E is good evidence for H" to "H predicts E." If thi…Read more
  •  48
    Making Student Groups Work
    Teaching Philosophy 13 (2): 111-125. 1990.
  •  120
    The power of ARCHED hypotheses: Feyerabend's Galileo as a closet rationalist
    British Journal for the Philosophy of Science 45 (1): 255-264. 1994.
  •  24
    60% Proof Lakatos, Proof, and Paraconsistency
    Australasian Journal of Logic 5 89-100. 2007.
    Imre Lakatos’ Proofs and Refutations is a book well known to those who work in the philosophy of mathematics, though it is perhaps not widely referred to. Its general thrust is out of tenor with the foundationalist perspective that has dominated work in the philosophy of mathematics since the early years of the 20th century. It seems to us, though, that the book contains striking insights into the nature of proof, and the purpose of this paper is to explore and apply some of these.