•  52
    The standard inferentialist approaches to modal logic tend to suffer from not being able to uniquely characterize the modal operators, require that introduction and elimination rules be interdefined, or rely on the introduction of possible-world like indexes into the object language itself. In this paper I introduce a hypersequent calculus that is flexible enough to capture many of the standard modal logics and does not suffer from the above problems. It is therefore an ideal candidate to underw…Read more
  •  44
    Sellars, Second-order Quantification, and Ontological Commitment
    History and Philosophy of Logic 40 (1): 81-97. 2018.
    Sellars [1960, ‘Grammar and existence: A preface to ontology’] argues that the truth of a second-order sentence does not incur commitment to there being any sort of abstract entity. This paper begins by exploring the arguments that Sellars offers for the above claim. It then develops those arguments by pointing out places where Sellars has been unclear or ought to have said more. In particular, Sellars's arguments rely on there being a means by which language users could come to understand sente…Read more
  •  44
    Second-Order Modal Logic
    Dissertation, University of Connecticut. 2017.
    This dissertation develops an inferentialist theory of meaning. It takes as a starting point that the sense of a sentence is determined by the rules governing its use. In particular, there are two features of the use of a sentence that jointly determine its sense, the conditions under which it is coherent to assert that sentence and the conditions under which it is coherent to deny that sentence. From this starting point the dissertation develops a theory of quantification as marking coherent wa…Read more
  •  26
    What’s in a Name
    Thought: A Journal of Philosophy 6 (4): 268-277. 2017.
    This paper offers a response to Ramsey's famous challenge to draw a logical, as opposed to merely syntactical, distinction between names and predicates. Three attempts to meet this challenge are considered, one from Dummett, one from Geach, and one from Brandom. It is shown that none of these adequately addresses Ramsey's challenge. The paper concludes with a response to Ramsey that avoids the pitfalls of the other three replies. The advantage of the view proposed is that there is nothing preven…Read more
  •  19
    Atomic ontology
    Synthese 197 (1): 355-379. 2020.
    The aim of this article is to offer a method for determining the ontological commitments of a formalized theory. The second section shows that determining the consequence relation of a language model-theoretically entails that the ontology of a theory is tied very closely to the variables that feature in that theory. The third section develops an alternative way of determining the ontological commitments of a theory given a proof-theoretic account of the consequence relation for the language tha…Read more
  •  16
    Second-Order Modal Logic
    Bulletin of Symbolic Logic 27 (4): 530-531. 2021.
    The dissertation introduces new sequent-calculi for free first- and second-order logic, and a hyper-sequent calculus for modal logics K, D, T, B, S4, and S5; to attain the calculi for the stronger modal logics, only external structural rules need to be added to the calculus for K, while operational and internal structural rules remain the same. Completeness and cut-elimination are proved for all calculi presented.Philosophically, the dissertation develops an inferentialist, or proof-theoretic, t…Read more