•  6
    A Dilemma in Pawline Christology
    Journal of Philosophical Theological Research 25 (3): 55-62. 2023.
    A longstanding problem confronting Christian theology and its doctrine of incarnation is the apparent contradiction that it faces. For example, to be divine, in the relevant sense, is to have the limitlessness of God. To be human, in the relevant sense, is to have the limitations of humans. The incarnation (in the person of Jesus per Christian doctrine) is to be both divine and human. Many theologians and sympathetic philosophers have attempted to ‘consistentize’ (i.e., make consistent) incarnat…Read more
  •  35
    God, gluts and evil
    Analysis. forthcoming.
    Traditional monotheism appears to many to involve contradiction in basic 'omni' properties (e.g. omnipotence and too-heavy stones, etc.). A glut-theoretic account of such problems treats them as gluts (dual to familiar truth-value gaps): 'omnipotence' is both true of and false of God. Many philosophers, glut theorists and otherwise, acknowledge that such a glut-theoretic account of at least some traditional omni-god problems is natural, at least in the abstract. But what about the problem of evi…Read more
  •  6
    Where the Paths Meet: Remarks on Truth and Paradox
    In Peter A. French & Howard K. Wettstein (eds.), Midwest Studies in Philosophy, Blackwell. 2008.
    This chapter contains sections titled: Nature: Two Conceptions of Truth Background on Logic and Paradox Nature and Logic And Now Revenge References.
  •  7
    Book Reviews (review)
    Australasian Journal of Philosophy 81 (4): 609-611. 2003.
    Book Information Logical Properties: Identity, Existence, Predication, Necessity, Truth. Logical Properties: Identity, Existence, Predication, Necessity, Truth Colin McGinn, Oxford: Clarendon Press, 2000, pp. vi + 114, £25, £12.99. By Colin McGinn. Oxford: Clarendon Press. Pp. vi + 114. £25, £12.99
  •  75
    Hegelian Conjunction, Hegelian Contradiction
    History and Philosophy of Logic 44 (2): 119-131. 2023.
    1. In both Benedetto Croce's and Hegel's own terminology, dialectics can be understood as dottrina degli opposti (the doctrine of the opposites – Lehre der Gegensätze).1 In the dialectical process,...
  • Non-detachable validity and deflationism
    In Colin R. Caret & Ole T. Hjortland (eds.), Foundations of Logical Consequence, Oxford University Press. 2015.
  •  14
    Logical Pluralism
    Oxford University Press. 2005.
    Consequence is at the heart of logic, and an account of consequence offers a vital tool in the evaluation of arguments. This text presents what the authors term as 'logical pluralism' arguing that the notion of logical consequence doesn't pin down one deductive consequence relation; it allows for many of them.
  • This book argues that the standard (orthodox) doctrine of incarnation (of "God enfleshed") is best understood along glut-theoretic lines: the incarnate God is a contradictory being. Example: because God, the Christ figure is all-knowing; but because human, ignorant. And so on. Standard theological theory in the tradition recognizes the apparent contradiction in its core doctrines; Beall argues that the appearance should be accepted as veridical.
  •  190
    A very common twofold view in contemporary philosophy is that classical logic is the correct view of logical consequence and that possibility conforms to classical logic in the sense that ‘possible worlds’ — whatever else they may be — are closed under classical logic. These two views are assumed in this paper. My aim in this paper is to show that a very natural ‘paraconsistent’ consequence relation is involved in the given view of possible worlds and logical consequence.
  • Transparent disquotationalism
    In J. C. Beall & Bradley Armour-Garb (eds.), Deflationism and Paradox, Clarendon Press. 2005.
  • True and False - As If
    In Graham Priest, J. C. Beall & Bradley Armour-Garb (eds.), The Law of Non-Contradiction: New Philosophical Essays, Clarendon Press. 2006.
  • Modelling the 'Ordinary View'
    In Patrick Greenough & Michael P. Lynch (eds.), Truth and Realism, Clarendon Press. 2006.
  •  26
    On Contradictory Christology: Preliminary Remarks, Notation and Terminology
    Journal of Analytic Theology 7 (1): 434-439. 2019.
    The following are some preliminary remarks that will set the stage for my individual replies to Timothy Pawl, Thomas McCall, A. J. Cotnoir, and Sara L. Uckelman’s responses to my paper ‘Christ – A Contradiction’. In that paper I advance and defend a contradictory Christology which solves the fundamental ‘problem’ of Christology by holding that Christ is a contradictory being: it is true that Christ is mutable and it is false that Christ is mutable; it is true that Christ is immutable and it is f…Read more
  •  16
    Liars and Heaps: New Essays on Paradox (edited book)
    Oxford University Press UK. 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
  •  101
    Deflationary Truth (edited book)
    with Bradley P. Armour-Garb
    Open Court Press. 2005.
    This book is a collection of important writings on deflationism, with a detailed introduction and an exhaustive annotated bibliography. Among philosophers concerned with the theory of truth, deflationist positions have quickly gained ground and have become the most popular. Yet heretofore there has been no single book to which the readers can go for a detailed, overall view of the entire phenomenon of deflationism. This is the only available map of the whole terrain of deflationism. Deflationism…Read more
  •  1
    Minimalism, epistemicism, and paradox
    In J. C. Beall & Bradley Armour-Garb (eds.), Deflationism and Paradox, Oxford University Press. 2005.
  •  28
    A Neglected Response to the Grim Result
    Analysis 60 (1): 38-41. 2000.
  •  11
    Rapunzel Shaves Pinocchio’s Beard
    In Elena Ficara (ed.), Contradictions: Logic, History, Actuality, De Gruyter. pp. 27-30. 2014.
  •  1
    Possibilities and Paradox; An Introduction to Modal and Many-Valued Logic
    with Bas C. van Fraassen
    Studia Logica 79 (2): 310-313. 2005.
  •  13
    The Revenge of the Liar: New Essays on the Paradox (edited book)
    Oxford University Press UK. 2007.
    The Liar paradox raises foundational questions about logic, language, and truth. 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 that it is false.How, then, should we classify Liar sentences? Are they true or false? A natural sugge…Read more
  • The Law of Non-Contradiction: New Philosophical Essays
    with Graham Priest and Bradley Armour-Garb
    Bulletin of Symbolic Logic 12 (1): 131-135. 2006.
  • True and False - As If
    In Graham Priest, J. C. Beall & Bradley Armour-Garb (eds.), The Law of Non-Contradiction, Clarendon Press. 2004.
  •  23
    Knowability and possible epistemic oddities
    In Joe Salerno (ed.), New Essays on the Knowability Paradox, Oxford University Press. pp. 105--125. 2009.
  •  18
    Dialetheism and the Probability of Contradictions
    Australasian Journal of Philosophy 79 (1): 114-118. 2001.
  •  13
    Deflation and Paradox (edited book)
    Oxford University Press. 2005.
    In this volume of fourteen original essays, a distinguished team of contributors explore the extent to which, if at all, deflationism can accommodate paradox.
  •  25
    Truth and paradox: a philosophical sketch
    In Dale Jacquette (ed.), Philosophy of Logic, North Holland. pp. 187--272. 2006.
  •  15
    Modelling the 'Ordinary View'
    In Patrick Greenough & Michael P. Lynch (eds.), Truth and Relativism, Clarendon Press. pp. 61--76. 2006.