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26Review of J. W. Garson, Modal Logic for Philosophers (review)Notre Dame Philosophical Reviews 2007 (6). 2007.
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26Logical PluralismOxford 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.
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25Truth and paradox: a philosophical sketchIn Dale Jacquette (ed.), Philosophy of Logic, North Holland. pp. 187--272. 2006.
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25Review of Woods, John, Paradox and Paraconsistency: Conflict Resolution in the Abstract Sciences (review)Notre Dame Philosophical Reviews 2003 (6). 2003.
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25Liars 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
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24On Contradictory Christology: A Reply to Uckelman’s ‘Contradictions, Impossibility, and Triviality’Journal of Analytic Theology 7 (1): 560-577. 2019.ㅤ
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24The 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
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24Liars 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
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23Knowability and possible epistemic odditiesIn Joe Salerno (ed.), New Essays on the Knowability Paradox, Oxford University Press. pp. 105--125. 2009.
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22On Contradictory Christology: A Reply to Pawl’s ‘Explosive Theology’Journal of Analytic Theology 7 (1): 452-472. 2019.ㅤ
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21Adding to Relevant Restricted QuantificationAustralasian Journal of Logic 10 36-44. 2011.This paper presents, in a more general setting, a simple approach to ‘relevant restricted generalizations’ advanced in previous work. After reviewing some desiderata for restricted generalizations, I present the target route towards achieving the desiderata. An objection to the approach, due to David Ripley, is presented, followed by three brief replies, one from a dialetheic perspective and the others more general.
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19Deflation 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.
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18Dialetheism and the Probability of ContradictionsAustralasian Journal of Philosophy 79 (1): 114-118. 2001.
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17On Contradictory Christology: A Reply to McCall’s ‘Doctrinal Orthodoxy and Philosophical Heresy’Journal of Analytic Theology 7 (1): 488-507. 2019.ㅤ
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17In Defense of Extended Conciliar Christology: A Philosophical Essay, by Timothy Pawl. Oxford University Press, 2019. Pp. xii + 250. $90 (hardcover) (review)Faith and Philosophy 37 (1): 128-133. 2020.
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15Modelling the 'Ordinary View'In Patrick Greenough & Michael P. Lynch (eds.), Truth and Relativism, Clarendon Press. pp. 61--76. 2006.
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15Rapunzel Shaves Pinocchio’s BeardIn Elena Ficara (ed.), Contradictions: Logic, History, Actuality, De Gruyter. pp. 27-30. 2014.
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13A Dilemma in Pawline ChristologyJournal 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
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9Where the Paths Meet: Remarks on Truth and ParadoxIn Felicia Ackerman (ed.), Midwest Studies in Philosophy, Minneapolis: University of Minnesota Press. 1981.This chapter contains sections titled: Nature: Two Conceptions of Truth Background on Logic and Paradox Nature and Logic And Now Revenge References.
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9Logic: The BasicsRoutledge. 2010._Logic: The Basics_ is an accessible introduction to several core areas of logic. The first part of the book features a self-contained introduction to the standard topics in classical logic, such as: · mathematical preliminaries · propositional logic · quantified logic · English and standard ‘symbolic translations’ · tableau procedures. Alongside comprehensive coverage of the standard topics, this thoroughly revised second edition also introduces several philosophically important nonclassical lo…Read more
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7Book 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
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7Liars and Heaps: New Essays on the Semantics of 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
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3Lou Goble, ed., The Blackwell Guide to Philosophical Logic Reviewed byPhilosophy in Review 22 (6): 411-415. 2002.
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1Minimalism, epistemicism, and paradoxIn J. C. Beall & Bradley Armour-Garb (eds.), Deflationism and Paradox, Oxford University Press. 2005.
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