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  1. The Problem of Future Contingents: Scoping Out a Solution.Patrick Todd - forthcoming - Synthese:1-22.
    Various philosophers have long since been attracted to the doctrine that future contingent propositions systematically fail to be true - what is sometimes called the doctrine of the open future. However, open futurists have always struggled to articulate how their view interacts with standard principles of classical logic - most notably, with the Law of Excluded Middle (LEM). For consider the following two claims: (a) Trump will be impeached tomorrow; (b) Trump will not be impeached tomorrow. According to the kind (...)
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  • Aristotelian Diagrams in the Debate on Future Contingents: A Methodological Reflection on Hess's Open Future Square of Opposition.Lorenz Demey - 2019 - Sophia 58 (3):321-329.
    In the recent debate on future contingents and the nature of the future, authors such as G. A. Boyd, W. L. Craig, and E. Hess have made use of various logical notions, such as the Aristotelian relations of contradiction and contrariety, and the ‘open future square of opposition.’ My aim in this paper is not to enter into this philosophical debate itself, but rather to highlight, at a more abstract methodological level, the important role that Aristotelian diagrams can play in (...)
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  • Aristotelian Diagrams for Semantic and Syntactic Consequence.Lorenz Demey - forthcoming - Synthese:1-21.
    Several authors have recently studied Aristotelian diagrams for various metatheoretical notions from logic, such as tautology, satisfiability, and the Aristotelian relations themselves. However, all these metalogical Aristotelian diagrams focus on the semantic perspective on logical consequence, thus ignoring the complementary, and equally important, syntactic perspective. In this paper, I propose an explanation for this discrepancy, by arguing that the metalogical square of opposition for semantic consequence exhibits a natural analogy to the well-known square of opposition for the categorical statements from (...)
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  • A Hexagon of Opposition for the Theism/Atheism Debate.Lorenz Demey - 2019 - Philosophia 47 (2):387-394.
    Burgess-Jackson has recently suggested that the debate between theism and atheism can be represented by means of a classical square of opposition. However, in light of the important role that the position of agnosticism plays in Burgess-Jackson’s analysis, it is quite surprising that this position is not represented in the proposed square of opposition. I therefore argue that the square of opposition should be extended to a slightly larger, more complex Aristotelian diagram, viz., a hexagon of opposition. Since this hexagon (...)
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