•  113
  •  151
    Logical Consequence
    with Greg Restall and Gil Sagi
    Stanford Encyclopedia of Philosophy -. 2019.
    A good argument is one whose conclusions follow from its premises; its conclusions are consequences of its premises. But in what sense do conclusions follow from premises? What is it for a conclusion to be a consequence of premises? Those questions, in many respects, are at the heart of logic (as a philosophical discipline). Consider the following argument: 1. If we charge high fees for university, only the rich will enroll. We charge high fees for university. Therefore, only the rich will enrol…Read more
  •  108
    Revenge of the Liar: New Essays on the Paradox (edited book)
    Oxford University Press. 2007.
    The Liar paradox raises foundational questions about logic, language, and truth (and semantic notions in general). A simple Liar sentence like 'This sentence is false' appears to be both true and false if it is either true or false. For if the sentence is true, then what it says is the case; but what it says is that it is false, hence it must be false. On the other hand, if the statement is false, then it is true, since it says (only) that it is false. How, then, should we classify Liar senten…Read more
  •  158
    On truthmakers for negative truths
    Australasian Journal of Philosophy 78 (2). 2000.
    This Article does not have an abstract
  •  36
    Understanding truth
    Australasian Journal of Philosophy 79 (2). 2001.
    Book Information Understanding Truth. By Soames Scott. Oxford University Press. New York. 1999. Pp. ix + 268. Cloth
  •  4
    Liars and Heaps: New Essays on Paradox (edited book)
    Oxford University Press. 2003.
    Semantic and soritical paradoxes challenge entrenched, fundamental principles about language - principles about truth, denotation, quantification, and, among others, 'tolerance'. Study of the paradoxes helps us determine which logical principles are correct. So it is that they serve not only as a topic of philosophical inquiry but also as a constraint on such inquiry: they often dictate the semantic and logical limits of discourse in general. Sixteen specially written essays by leading figures i…Read more
  •  27
    Australasian Journal of Philosophy 79 (2). 2001.
    Book Information Truth. Truth Enrique Villanueva Atascadero, CA Ridgeview Publishing Company 1997 i + 446 Edited by Enrique Villanueva . Ridgeview Publishing Company. Atascadero, CA. Pp. i + 446.
  •  78
    A neglected response to the Grim result
    Analysis 60 (1). 2000.
  •  37
    Is the observable world consistent?
    Australasian Journal of Philosophy 78 (1). 2000.
    This Article does not have an abstract
  •  11
    Extensively classroom-tested, Possibilities and Paradox provides an accessible and carefully structured introduction to modal and many-valued logic. The authors cover the basic formal frameworks, enlivening the discussion of these different systems of logic by considering their philosophical motivations and implications. Easily accessible to students with no background in the subject, the text features innovative learning aids in each chapter, including exercises that provide hands-on experience…Read more
  •  37
    Mancosu (ed.), The Philosophy of Mathematical Practice (review)
    Australasian Journal of Philosophy 88 (2): 376-376. 2010.
    This Article does not have an abstract
  •  66
    The new theory of reference: Kripke, Marcus, and its origins (review)
    Australasian Journal of Philosophy 79 (2). 2001.
    Book Information The New Theory of Reference: Kripke, Marcus, and Its Origins. Edited by Paul Humphreys and James Fetzer. Kluwer Academic Publishers. Boston. Pp. xiii + 290. Hardback, US$105
  •  35
    This paper challenges defenders/advocates of the semantic-completeness route towards gluts to explain, in simple and plausible terms, why the ‘trivializer paradox’, framed in terms of closure relatives on theories, fails to undermine their argument.
  •  1
    Vague Intensions: A Modest Marriage Proposal
    In Richard Dietz & Sebastiano Moruzzi (eds.), Cuts and Clouds: Vaguenesss, its Nature and its Logic, Oxford University Press. 2010.
  •  1
  • Lou Goble, ed., The Blackwell Guide to Philosophical Logic (review)
    Philosophy in Review 22 411-415. 2002.
  •  50
    Review of Paradox and Paraconsistency (review)
    with David Ripley
    Notre Dame Philosophical Reviews. 2003.
    When physicists disagree as to whose theory is right, they can (if we radically idealize) form an experiment whose results will settle the difference. When logicians disagree, there seems to be no possibility of resolution in this manner. In Paradox and Paraconsistency John Woods presents a picture of disagreement among logicians, mathematicians, and other “abstract scientists” and points to some methods for resolving such disagreement. Our review begins with (very) short sketches of the chapter…Read more
  •  89
    Traditional monotheism has long faced logical puzzles. We argue that such puzzles rest on the assumed logical truth of the Law of Excluded Middle, which we suggest there is little theological reason to accept. By way of illustration we focus on God's alleged stone problem, and present a simple but plausible ‘gappy’ framework for addressing this puzzle. We assume familiarity with the proposed logic but an appendix is offered as a brief review.
  •  14
    This paper advances and defends a new solution to the so-called fundamental problem in christology (the problem being the apparent contradiction entailed by the christian doctrine of divine incarnation).
  •  27
    A Note on FDE “All the Way Up”
    with Caleb Camrud
    Notre Dame Journal of Formal Logic 61 (2): 283-296. 2020.
    A very natural and philosophically important subclassical logic is FDE. This account of logical consequence can be seen as going beyond the standard two-valued account to a four-valued account. A natural question arises: What account of logical consequence arises from considering further combinations of such values? A partial answer was given by Priest in 2014; Shramko and Wansing had also given a partial result some years earlier, although in a different context. In this note we generalize Prie…Read more
  •  38
    Truth and Paradox: Solving the Riddles
    Philosophical Review 116 (3): 478-481. 2007.
  •  36
    On Williamson's new Quinean argument against nonclassical logic
    Australasian Journal of Logic 16 (7): 202. 2019.
    In "Semantic paradoxes and abductive methodology", Williamson presents a new Quinean argument based on central ingredients of common pragmatism about theory choice. What makes it new is that, in addition to avoiding Quine's unfortunate charge of mere terminological squabble, Williamson's argument explicitly rejects at least for purposes of the argument Quine's key conservatism premise. In this paper I do two things. First, I argue that Williamson's new Quinean argument implicitly relies on Quine…Read more
  •  51
    Complete Symposium on Jc Beall's Christ – A Contradiction: A Defense of Contradictory Christology
    with Timothy Pawl, Thomas McCall, A. J. Cotnoir, and Sara L. Uckelman
    Journal of Analytic Theology 7 (1): 400-577. 2019.
    The fundamental problem of Christology is the apparent contradiction of Christ as recorded at Chalcedon. Christ is human and Christ is divine. Being divine entails being immutable. Being human entails being mutable. Were Christ two different persons there’d be no apparent contradiction. But Chalcedon rules as much out. Were Christ only partly human or only partly divine there’d be no apparent contradiction. But Chalcedon rules as much out. Were the very meaning of ‘mutable’ and/or ‘immutable’ ot…Read more