School of Historical and Philosophical Studies - Research Publications

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End date: 2019 × Type: Journal Article × Author: Priest, Graham ×

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    PARADOXICAL PROPOSITIONS
    Priest, G (WILEY, 2018-10)
    Abstract This paper concerns two paradoxes involving propositions. The first is Russell's paradox from Appendix B of The Principles of Mathematics, a version of which was later given by Myhill. The second is a paradox in the framework of possible worlds, given by Kaplan. This paper shows a number of things about these paradoxes. First, we will see that, though the Russell/Myhill paradox and the Kaplan paradox might appear somewhat different, they are really just variants of the same phenomenon. Though they do this in different ways, the core of each paradox is to use the notion of a proposition to construct a function, f, from the power set of some set into the set itself. Next we will see how this paradox fits into the Inclosure Schema. Finally, I will provide a model of the paradox in question, showing its results to be non‐trivial, though inconsistent.
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    Chunk and permeate III: the Dirac delta function
    Benham, R ; Mortensen, C ; Priest, G (SPRINGER, 2014-09-01)
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    Indefinite Extensibility-Dialetheic Style
    Priest, G (SPRINGER, 2013-12)
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    Nagarjuna's Mulamadhyakamakarika
    Priest, G (SPRINGER, 2013-04)
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    Thinking the impossible
    Priest, G (SPRINGER, 2016-10)
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    Williamson on Counterpossibles
    Berto, F ; French, R ; Priest, G ; Ripley, D (SPRINGER, 2018-08)
    A counterpossible conditional is a counterfactual with an impossible antecedent. Common sense delivers the view that some such conditionals are true, and some are false. In recent publications, Timothy Williamson has defended the view that all are true. In this paper we defend the common sense view against Williamson's objections.
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    Hopes Fade For Saving Truth
    Priest, G (CAMBRIDGE UNIV PRESS, 2010-01)
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    Inclosures, Vagueness, and Self-Reference
    Priest, G (University of Notre Dame, 2010-01-01)
    In this paper, I start by showing that sorites paradoxes are inclosure paradoxes. That is, they fit the Inclosure Scheme which characterizes the paradoxes of self-reference. Given that sorites and self-referential paradoxes are of the same kind, they should have the same kind of solution. The rest of the paper investigates what a dialetheic solution to sorites paradoxes is like, connections with a dialetheic solution to the self-referential paradoxes, and related issues— especially so called “higher order” vagueness.
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    NEIGHBORHOOD SEMANTICS FOR INTENTIONAL OPERATORS
    Priest, G (CAMBRIDGE UNIV PRESS, 2009-06)