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A Modal Account of Propositions

Dialectica 71 (4):463-488 (2017)

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  1. In defense of Countabilism.David Builes & Jessica M. Wilson - 2022 - Philosophical Studies 179 (7):2199-2236.
    Inspired by Cantor's Theorem (CT), orthodoxy takes infinities to come in different sizes. The orthodox view has had enormous influence in mathematics, philosophy, and science. We will defend the contrary view---Countablism---according to which, necessarily, every infinite collection (set or plurality) is countable. We first argue that the potentialist or modal strategy for treating Russell's Paradox, first proposed by Parsons (2000) and developed by Linnebo (2010, 2013) and Linnebo and Shapiro (2019), should also be applied to CT, in a way that (...)
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  • Russell–Myhill and grounding.Boris Kment - 2022 - Analysis 82 (1):49-60.
    The Russell-Myhill paradox puts pressure on the Russellian structured view of propositions by showing that it conflicts with certain prima facie attractive ontological and logical principles. I describe several versions of RMP and argue that structurists can appeal to natural assumptions about metaphysical grounding to provide independent reasons for rejecting the ontological principles used in these paradoxes. It remains a task for future work to extend this grounding-based approach to all variants of RMP.
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  • How to Build a Thought.Andrew M. Bailey & Joshua Rasmussen - 2020 - Thought: A Journal of Philosophy 9 (2):75-83.
    We uncover a surprising discovery about the basis of thoughts. We begin by giving some plausible axioms about thoughts and their grounds. We then deduce a theorem, which has dramatic ramifications for the basis of all thoughts. The theorem implies that thoughts cannot come deterministically from any purely “thoughtless” states. We expect this result to be too dramatic for many philosophers. Hence, we proceed to investigate the prospect of giving up the axioms. We show that each axiom’s negation itself has (...)
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  • Modal Expansionism.Alexander Roberts - 2019 - Journal of Philosophical Logic 48 (6):1145-1170.
    There are various well-known paradoxes of modal recombination. This paper offers a solution to a variety of such paradoxes in the form of a new conception of metaphysical modality. On the proposed conception, metaphysical modality exhibits a type of indefinite extensibility. Indeed, for any objective modality there will always be some further, broader objective modality; in other terms, modal space will always be open to expansion.
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