•  98
    From Fine and Kamp in the 70’s—through Osherson and Smith in the 80’s, Williamson, Kamp and Partee in the 90’s and Keefe in the 00’s—up to Sauerland in the present decade, the objection continues to be run that fuzzy logic based theories of vagueness are incompatible with ordinary usage of compound propositions in the presence of borderline cases. These arguments against fuzzy theories have been rebutted several times but evidently not put to rest. I attempt to do so in this paper
  •  24
    Different formal tools are useful for different purposes. For example, when it comes to modelling degrees of belief, probability theory is a better tool than classical logic; when it comes to modelling the truth of mathematical claims, classical logic is a better tool than probability theory. In this paper I focus on a widely used formal tool and argue that it does not provide a good model of a phenomenon of which many think it does provide a good model: I shall argue that while supervaluationis…Read more
  •  48
    A common objection to theories of vagueness based on fuzzy logics centres on the idea that assigning a single numerical degree of truth -- a real number between 0 and 1 -- to each vague statement is excessively precise. A common objection to Bayesian epistemology centres on the idea that assigning a single numerical degree of belief -- a real number between 0 and 1 -- to each proposition is excessively precise. In this paper I explore possible parallels between these objections. In particular…Read more
  •  16
    Review of Dominic Hyde Vagueness, Logic and Ontology (Ashgate, 2008) (review)
    Bulletin of Symbolic Logic 16 (4): 531-533. 2010.
  •  4
    ‘What it Makes Sense to Say’: Wittgenstein, rule‐following and the nature of education
    Educational Philosophy and Theory 37 (3): 425-430. 2005.
    In his writings Jim Marshall has helpfully emphasized such Wittgensteinian themes as the multiplicity of language games, the deconstruction of ‘certainty,’ and the contexts of power that underlie discursive systems. Here we focus on another important legacy of Wittgenstein's thinking: his insistence that human activity is rule‐governed. This idea foregrounds looking carefully at the world of education and learning, as against the empirical search for new psychological or other facts. It reminds …Read more