- School of Historical and Philosophical Studies - Research Publications
School of Historical and Philosophical Studies - Research Publications
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ItemSimilarity relations and the preservation of solidityHAZEN, AP ; HUMBERSTONE, L ( 2004)
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ItemRELEVANT AND SUBSTRUCTURAL LOGICSRestall, G ; Gabbay, DM ; Woods, J (ELSEVIER SCIENCE BV, 2006)
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ItemDoubt Truth to be a LiarPriest, G (Oxford University PressOxford, 2006-05-01)Abstract The Law of Non-Contradiction has been high orthodoxy in Western philosophy since Aristotle. The so-called Law has been the subject of radical challenge in recent years by dialetheism, the view that some contradictions are indeed true. Many philosophers have taken the Law to be central to many of our most important philosophical concepts. This book mounts the case against this view. Starting with an analysis of Aristotle on the Law, it discusses the nature of truth, rationality, negation, and logic itself, and argues that the Law is inessential to all of these things. The book develops Priest’s earlier ideas in In Contradiction.
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ItemLogical PluralismBeall, JC ; Restall, G (Oxford University PressOxford, 2005-11-24)Abstract Consequence is at the heart of logic; an account of consequence, of what follows from what, offers a vital tool in the evaluation of arguments. Since philosophy itself proceeds by way of argument and inference, a clear view of what logical consequence amounts to is of central importance to the whole discipline of philosophy. This book presents and defends what it calls logical pluralism, arguing that the notion of logical consequence does not pin down one deductive consequence relation; it allows for many of them. In particular, the book argues that broadly classical, intuitionistic, and relevant accounts of deductive logic are genuine logical consequence relations; we should not search for one true logic, since there are many. The book's conclusions have profound implications for many linguists as well as for philosophers.
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ItemNagarjuna and the limits of thoughtPRIEST, GG ; GARFIELD, J ; GARFIELD, J (Oxford University Press, 2002)
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ItemLogicians setting together contradictories: A perspective on relevance, paraconsistency, and dialetheismPriest, G ; JACQUETTE, D (Wiley, 2007-11-26)
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ItemParaconsistent LogicPriest, G ; GABBAY, D ; GUENTHNER, F (Springer Netherlands, 2002)
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ItemA "constructive" proper extension of ramified type theory (the logic of Principia Mathematica, second edition, Appendix B)HAZEN, ALLEN PATTERSON (Walter de Gruyter, 2004)
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ItemNo Preview AvailableOne way to face factsRestall, G (BLACKWELL PUBL LTD, 2004-07)
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ItemNo Preview AvailableChunk and Permeate, a paraconsistent inference strategy, part 1, the infinitesimal calculusBrown, B ; Priest, G (KLUWER ACADEMIC PUBL, 2004-08)