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  1. Observations on the Trivial World.Zach Weber & Hitoshi Omori - 2019 - Erkenntnis 84 (5):975-994.
    A world is trivial if it makes every proposition true all at once. Such a world is impossible, an absurdity. Our world, we hope, is not an absurdity. It is important, nevertheless, for semantic and metaphysical theories that we be able to reason cogently about absurdities—if only to see that they are absurd. In this note we describe methods for ‘observing’ absurd objects like the trivial world without falling in to incoherence, using some basic techniques from modal logic. The goal (...)
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  • Atheism and Dialetheism; or, ‘Why I Am Not a (Paraconsistent) Christian’.Zach Weber - 2019 - Australasian Journal of Philosophy 97 (2):401-407.
    ABSTRACTIn ‘Theism and Dialetheism’, Cotnoir explores the idea that dialetheism can help with some puzzles about omnipotence in theology. In this note, I delineate another asp...
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  • Semantic closure, descriptions and non-triviality.Graham Priest - 1999 - Journal of Philosophical Logic 28 (6):549--558.
    It is known that a semantically closed theory with description may well be trivial if the principles concerning denotation and descriptions are formulated in certain ways, even if the underlying logic is paraconsistent. This paper establishes the nontriviality of a semantically closed theory with a natural, but non-extensional, description operator.
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  • Objects of thought.Graham Priest - 2000 - Australasian Journal of Philosophy 78 (4):494-502.
  • On a Paradox of Hilbert and Bernays.Priest Graham - 1997 - Journal of Philosophical Logic 26 (1):45-56.
    The paper is a discussion of a result of Hilbert and Bernays in their Grundlagen der Mathemnatik. Their interpretation of the result is similar to the standard intepretation of Tarski's Theorem. This and other interpretations are discussed and shown to be inadequate. Instead, it is argued, the result refutes certain versions of Meinongianism. In addition, it poses new problems for classical logic that are solved by dialetheism.
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