School of Historical and Philosophical Studies - Research Publications

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    Conditionals: A Debate with Jackson
    Priest, G (Oxford University PressOxford, 2010-05-01)
    Abstract This chapter presents a number of concerns about Jackson's approach to conditionals. The first section discusses the view defended by Frank Jackson in his book Conditionals; it describes his account and notes some of its shortcomings. There are good reasons for doing this. Views of the kind defended there are, if not orthodox, still very common. And Jackson defends the view in, arguably, its most cogent form. The second section sketches a rather different account, which avoids these shortcomings. It proposes a general framework for an account of conditionals, one that leaves plenty of parameters to be adjusted for fine tuning.
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    A Paraconsistent Model of Vagueness
    Weber, Z (OXFORD UNIV PRESS, 2010-10-01)
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    Bridging the Modal Gap
    GOSWICK, D. ( 2010)
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    SECRECY IN CONSEQUENTIALISM: A DEFENCE OF ESOTERIC MORALITY
    de Lazari-Radek, K ; Singer, P (WILEY-BLACKWELL PUBLISHING, INC, 2010-03-01)
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    Extensionality and Restriction in Naive Set Theory
    Weber, Z (Springer Science and Business Media LLC, 2010-02)
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    TRANSFINITE NUMBERS IN PARACONSISTENT SET THEORY
    WEBER, Z (Cambridge University Press (CUP), 2010-03)
    This paper begins an axiomatic development of naive set theory—the consequences of a full comprehension principle—in a paraconsistent logic. Results divide into two sorts. There is classical recapture, where the main theorems of ordinal and Peano arithmetic are proved, showing that naive set theory can provide a foundation for standard mathematics. Then there are major extensions, including proofs of the famous paradoxes and the axiom of choice (in the form of the well-ordering principle). At the end I indicate how later developments of cardinal numbers will lead to Cantor’s theorem, the existence of large cardinals, and a counterexample to the continuum hypothesis.
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    Decorated Linear Order Types and the Theory of Concatenation
    RESTALL, G ; Cacic, ; Pudlak, ; Urquhart, ; Visser, (Cambridge University Press, 2010)
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    Proof Theory and Meaning: the context of deducibility
    RESTALL, G (Cambridge University Press, 2010)
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    Truth-makers, entailment and necessity
    Restall, G ; Lowe, EJ ; Rami, A (Acumen Publishing Limited, 2011-01-01)
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    Hopes Fade For Saving Truth
    Priest, G (CAMBRIDGE UNIV PRESS, 2010-01-01)