•  755
    Philosophy in Singapore until 1980
    Asian Journal of Philosophy 4. 2025.
    Since at least the nineteenth century, Singapore has hosted a multicultural society, and so inherited several philosophical traditions. Philosophical activity in the late nineteenth and early twentieth centuries included discussions of the Straits Philosophical Society and in the Straits Chinese Magazine. Academic philosophy began with the founding of the University of Malaya in 1949, where the department of philosophy was established in 1952, under the influence of the school of ordinary langua…Read more
  •  639
    The Cognitive Life of Maps (review)
    Notre Dame Philosophical Reviews. 2025.
  •  426
    Resemblance and Representation
    Dissertation, Australian National University. 2007.
  •  911
    The Impossible Arises: Oscar Reutersvärd and his Contemporaries (review)
    Australasian Journal of Philosophy 103 (1): 277-282. 2025.
    The Impossible Arises is an art history and philosophy of impossible pictures, focused especially on the contributions of Oscar Reutersvärd. The book draws on an archive of Reutersvärd’s letters an...
  •  85
    Depiction
    Oxford Bibliographies Online. 2024.
  •  1076
    Love and Fission
    Dialectica. forthcoming.
    According to a traditional conception, romantic love is both constant - if someone loves another, they continue to love them - and exclusive - if someone loves another, they love only the other. In this paper, we argue that the essentiality of constancy and exclusivity is incompatible with the possibilities of fission - roughly speaking, of one person becoming two - and fusion - roughly speaking, of two people becoming one. Moreover, if fission or fusion are possible, then constancy and exclusiv…Read more
  •  946
    Dialetheism and distributed sorites
    Synthese 202 (4): 1-18. 2023.
    Noniterative approaches to the sorites paradox accept single steps of soritical reasoning, but deny that these can be combined into valid chains of soritical reasoning. The distributed sorites is a puzzle designed to undermine noniterative approaches to the sorites paradox, by deriving an inconsistent conclusion using only single steps, but not chains, of soritical reasoning. This paper shows how a dialetheist version of the noniterative approach, the strict-tolerant approach, also solves the di…Read more
  •  1243
    Dialetheism and the Problem of Evil
    In Soraj Hongladarom, Jeremiah Joven Joaquin & Frank J. Hoffman (eds.), Philosophies of Appropriated Religions: Perspectives from Southeast Asia, Springer Nature Singapore. pp. 69-79. 2023.
    According to dialetheism, some contradictions are true. In a recent paper, Aaron Cotnoir has suggested that theists who are also dialetheists can resolve the paradox of the stone by accepting a contradiction, and arguing that God both can and can't make the stone. However, Zach Weber has replied that dialetheism is no help for avoiding one of the most serious problems for theism, namely the problem of evil. In this paper, I argue the situation is even worse than this for dialetheist theists, sin…Read more
  •  1168
    Does everything resemble everything else to the same degree?
    Asian Journal of Philosophy 1 (1): 1-21. 2022.
    According to Satosi Watanabe's "theorem of the ugly duckling", the number of predicates satisfied by any two different particulars is a constant, which does not depend on the choice of the two particulars. If the number of predicates satisfied by two particulars is their number of properties in common, and the degree of resemblance between two particulars is a function of their number of properties in common, then it follows that the degree of resemblance between any two different particulars is…Read more
  •  973
    Dialetheism and Modus Tollens
    The Reasoner 15 (4): 30. 2021.
    Suppose that some contradictions are true – for example, that as I walk through the door, I’m inside and I’m not inside. Then we argue 'if I'm walking through the door, I'm inside; I'm not inside; therefore, I'm not walking through the door' is an invalid instance of modus tollens.
  •  1440
    Extension and Self-Connection
    with Manikaran Singh
    Logic and Logical Philosophy 30 (3): 435-59. 2021.
    If two self-connected individuals are connected, it follows in classical extensional mereotopology that the sum of those individuals is self-connected too. Since mainland Europe and mainland Asia, for example, are both self-connected and connected to each other, mainland Eurasia is also self-connected. In contrast, in non-extensional mereotopologies, two individuals may have more than one sum, in which case it does not follow from their being self-connected and connected that the sum of those in…Read more
  •  873
    Mereology
    Archive of Formal Proofs. 2021.
    The interactive theorem prover Isabelle/HOL is used to verify elementary theorems of classical extensional mereology.
  •  1784
    Relevance and Verification
    Philosophical Quarterly 71 (3): 457-480. 2021.
    A. J. Ayer’s empiricist criterion of meaning was supposed to have sorted all statements into nonsense on the one hand, and tautologies or genuinely factual statements on the other. Unfortunately for Ayer, it follows from classical logic that his criterion is trivial—it classifies all statements as either tautologies or genuinely factual, but none as nonsense. However, in this paper, I argue that Ayer’s criterion of meaning can be defended from classical proofs of its triviality by the adoption o…Read more
  •  522
    The Number of Bricks in a Ziggurat
    with Jarinah Jabbar
    Mathematics Magazine 93 (3): 226-227. 2020.
    The number of bricks in a ziggurat is a sum of consecutive squares.
  •  1004
    Whitehead’s principle
    with Manikaran Singh
    Thought: A Journal of Philosophy 9 (2): 115-27. 2020.
    According to Whitehead’s rectified principle, two individuals are connected just in case there is something self-connected which overlaps both of them, and every part of which overlaps one of them. Roberto Casati and Achille Varzi have offered a counterexample to the principle, consisting of an individual which has no self-connected parts. But since atoms are self-connected, Casati and Varzi’s counterexample presupposes the possibility of gunk or, in other words, things which have no atoms as pa…Read more
  •  1986
    This is an introduction to the Isabelle proof assistant aimed at philosophers and their students.
  •  1150
    Anselm's God in Isabelle/HOL
    Archive of Formal Proofs 9. 2017.
    Paul Oppenheimer and Edward Zalta's formalisation of Anselm's ontological argument for the existence of God is automated by embedding a free logic for definite descriptions within Isabelle/HOL.
  •  1389
    Story Size
    Philosophical Papers 44 (2): 121-137. 2015.
    The shortest stories are zero words long. There is no maximum length.
  •  1177
    Images, intentionality and inexistence
    Philosophy and Phenomenological Research 79 (3): 522-538. 2009.
    The possibilities of depicting non-existents, depicting non-particulars and depictive misrepresentation are frequently cited as grounds for denying the platitude that depiction is mediated by resemblance. I first argue that these problems are really a manifestation of the more general problem of intentionality. I then show how there is a plausible solution to the general problem of intentionality which is consonant with the platitude.
  •  764
    A Syncretistic Theory of Depiction
    British Journal of Aesthetics 56 (4): 427-429. 2016.
    Review of A Syncretistic Theory of Depiction by Alberto Voltolini.
  •  1755
    Distance and Dissimilarity
    Philosophical Papers 48 (2): 211-239. 2018.
    This paper considers whether an analogy between distance and dissimilarlity supports the thesis that degree of dissimilarity is distance in a metric space. A straightforward way to justify the thesis would be to define degree of dissimilarity as a function of number of properties in common and not in common. But, infamously, this approach has problems with infinity. An alternative approach would be to prove representation and uniqueness theorems, according to which if comparative dissimilarity m…Read more
  •  1195
    Pictures, perspective and possibility
    Philosophical Studies 149 (2): 135-151. 2010.
    This paper argues for a possible worlds theory of the content of pictures, with three complications: depictive content is centred, two-dimensional and structured. The paper argues that this theory supports a strong analogy between depictive and other kinds of representation and the platitude that depiction is mediated by resemblance.
  •  101
  •  2203
    Two Conceptions of Similarity
    Philosophical Quarterly 68 (270): 21-37. 2018.
    There are at least two traditional conceptions of numerical degree of similarity. According to the first, the degree of dissimilarity between two particulars is their distance apart in a metric space. According to the second, the degree of similarity between two particulars is a function of the number of (sparse) properties they have in common and not in common. This paper argues that these two conceptions are logically independent, but philosophically inconsonant.
  •  843
    Maps and Meaning
    Journal of Philosophical Research 35 123-128. 2010.
    It's possible to understand an infinite number of novel maps. I argue that Roberto Casati and Achille Varzi's compositional semantics of maps cannot explain this possibility, because it requires an infinite number of semantic primitives. So the semantics of maps is puzzlingly different from the semantics of language.
  •  1615
    Depiction and convention
    Dialectica 62 (3): 335-348. 2008.
    By defining both depictive and linguistic representation as kinds of symbol system, Nelson Goodman attempts to undermine the platitude that, whereas linguistic representation is mediated by convention, depiction is mediated by resemblance. I argue that Goodman is right to draw a strong analogy between the two kinds of representation, but wrong to draw the counterintuitive conclusion that depiction is not mediated by resemblance.
  •  1371
    Fact, Fiction, and Fantasy
    Midwest Studies in Philosophy 39 (1): 46-57. 2015.
    This paper argues: (1) All knowledge from fiction is from imagination (2) All knowledge from imagination is modal knowledge (3) So, all knowledge from fiction is modal knowledge Moreover, some knowledge is from fiction, so (1)-(3) are non-vacuously true.
  •  945
    Philosophical Perspectives on Depiction (review)
    Australasian Journal of Philosophy 90 (1): 187-189. 2012.