Fragmenting Modal Logic

Inquiry: An Interdisciplinary Journal of Philosophy (forthcoming)
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Abstract

Fragmentalism allows incompatible facts to constitute reality in an absolute manner, provided that they fail to obtain together. In recent years, the view has been extensively discussed, with a focus on its formalisation in model-theoretic terms. This paper focuses on three formalisations: Lipman’s approach, the subvaluationist interpretation, and a novel view that has been so far overlooked. The aim of the paper is to explore the application of these formalisations to the alethic modal case. This logical exploration will allow us to study (i) cases of metaphysical incompatibility between modal facts and (ii) cases of modal dialetheias. In turn, this will enrich our understanding of the role of impossibility in the fragmentalist framework.

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Author Profiles

Samuele Iaquinto
University of Eastern Piedmont
Ciro De Florio
Università Cattolica di Milano

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References found in this work

Tense and reality.Kit Fine - 2005 - In Modality and Tense: Philosophical Papers. Oxford, England: Oxford University Press. pp. 261--320.
Is the World a Heap of Quantum Fragments?Samuele Iaquinto & Claudio Calosi - 2021 - Philosophical Studies 178:2009-2019.
Dialetheism.Francesco Berto, Graham Priest & Zach Weber - 2008 - Stanford Encyclopedia of Philosophy 2018 (2018).
Relativity, the Open Future, and the Passage of Time.Oliver Pooley - 2013 - Proceedings of the Aristotelian Society 113 (3pt3):321-363.

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