Journal of Philosophical Logic 51 (4):919-950 (2022)

Shawn Standefer
National Taiwan University
There appears to be few, if any, limits on what sorts of logical connectives can be added to a given logic. One source of potential limitations is the motivating ideology associated with a logic. While extraneous to the logic, the motivating ideology is often important for the development of formal and philosophical work on that logic, as is the case with intuitionistic logic. One family of logics for which the philosophical ideology is important is the family of relevant logics. In this paper, I explore the limits of what a relevant connective is, showing how some basic criteria motivated by the ideology of relevant logicians provide robust limits on potential connectives. These criteria provide some plausible necessary conditions on being a relevant connective.
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DOI 10.1007/s10992-022-09655-7
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References found in this work BETA

Saving Truth From Paradox.Hartry Field - 2008 - Oxford, England: Oxford University Press.
Varieties of Logic.Stewart Shapiro - 2014 - Oxford and New York: Oxford University Press.
The Logic of Paradox.Graham Priest - 1979 - Journal of Philosophical Logic 8 (1):219 - 241.

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Citations of this work BETA

Varieties of Relevant S5.Shawn Standefer - forthcoming - Logic and Logical Philosophy:1-28.
Neighbourhood Semantics for Modal Relevant Logics.Nicholas Ferenz & Andrew Tedder - forthcoming - Journal of Philosophical Logic:1-37.

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