Actual Issues for Relevant Logics

Ergo: An Open Access Journal of Philosophy 7 (2020)
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Abstract

In this paper, I motivate the addition of an actuality operator to relevant logics. Straightforward ways of doing this are in tension with standard motivations for relevant logics, but I show how to add the operator in a way that permits one to maintain the intuitions behind relevant logics. I close by exploring some of the philosophical consequences of the addition.

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Shawn Standefer
National Taiwan University

Citations of this work

Logic talk.Alexander W. Kocurek - 2021 - Synthese 199 (5-6):13661-13688.
The Logic of Hyperlogic. Part A: Foundations.Alexander W. Kocurek - forthcoming - Review of Symbolic Logic:1-27.
What is a Relevant Connective?Shawn Standefer - 2022 - Journal of Philosophical Logic 51 (4):919-950.
Varieties of Relevant S5.Shawn Standefer - 2023 - Logic and Logical Philosophy 32 (1):53–80.
The Logic of Sequence Frames.Fabio Lampert - 2022 - Review of Symbolic Logic 15 (1):101-132.

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References found in this work

On the Plurality of Worlds.David K. Lewis - 1986 - Malden, Mass.: Wiley-Blackwell.
Theories of actuality.Robert Merrihew Adams - 1974 - Noûs 8 (3):211-231.
Anselm and actuality.David K. Lewis - 1970 - Noûs 4 (2):175-188.
Actuality and the a priori.Fabio Lampert - 2018 - Philosophical Studies 175 (3):809-830.

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