•  145
    Intrinsic Value and the Last Last Man
    Ratio 29 (4): 165-180. 2016.
    Even if you were the last person on Earth, you should not cut down all the trees—or so goes the Last Man thought experiment, which has been taken to show that nature has intrinsic value. But ‘Last Man’ is caught on a dilemma. If Last Man is too far inside the anthropocentric circle, so to speak, his actions cannot be indicative of intrinsic value. If Last Man is cast too far outside the anthropocentric circle, though, then value terms lose their cogency. The experiment must satisfy conditions in…Read more
  •  292
    A Paraconsistent Model of Vagueness
    Mind 119 (476): 1025-1045. 2010.
    Vague predicates, on a paraconsistent account, admit overdetermined borderline cases. I take up a new line on the paraconsistent approach, to show that there is a close structural relationship between the breakdown of soritical progressions, and contradiction. Accordingly, a formal picture drawn from an appropriate logic shows that any cut-off point of a vague predicate is unidentifiable, in a precise sense. A paraconsistent approach predicts and explains many of the most counterintuitive aspect…Read more
  •  810
    A Topological Sorites
    Journal of Philosophy 107 (6): 311-325. 2010.
    This paper considers a generalisation of the sorites paradox, in which only topological notions are employed. We argue that by increasing the level of abstraction in this way, we see the sorites paradox in a new, more revealing light—a light that forces attention on cut-off points of vague predicates. The generalised sorites paradox presented here also gives rise to a new, more tractable definition of vagueness.
  •  169
    Reply to Bjørdal
    Review of Symbolic Logic 4 (1): 109-113. 2011.
  •  66
    Notes on inconsistent set theory
    In Francesco Berto, Edwin Mares, Koji Tanaka & Francesco Paoli (eds.), Paraconsistency: Logic and Applications, Springer. pp. 315--328. 2012.