Why FDE might be too strong for Beall

Asian Journal of Philosophy 3 (1):1-16 (2024)
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In his “The simple argument for subclassical logic,” Jc Beall advances an argument that led him to take FDE as the one true logic (the latter point is explicitly made clear in his “FDE as the One True Logic”). The aim of this article is to point out that if we follow Beall’s line of reasoning for endorsing FDE, there are at least two additional reasons to consider that FDE is too strong for Beall’s purposes. In fact, we claim that Beall should consider another weaker subclassical logic as the logic adequate for his project. To this end, we first briefly present Beall’s argument for FDE. Then, we discuss two specific topics that seem to motivate us to weaken FDE. We then introduce a subsystem that will enjoy all the benefits of Beall’s suggestion.



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Author Profiles

Jonas R. B. Arenhart
Universidade Federal de Santa Catarina

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References found in this work

Negation on the Australian Plan.Francesco Berto & Greg Restall - 2019 - Journal of Philosophical Logic 48 (6):1119-1144.
Angellic Content.Kit Fine - 2016 - Journal of Philosophical Logic 45 (2):199-226.
A useful four-valued logic.N. D. Belnap - 1977 - In J. M. Dunn & G. Epstein (eds.), Modern Uses of Multiple-Valued Logic. D. Reidel.
Doubt Truth to Be a Liar.Graham Priest - 2007 - Bulletin of Symbolic Logic 13 (4):541-544.
A Modality Called ‘Negation’.Francesco Berto - 2015 - Mind 124 (495):761-793.

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