Actual Issues for Relevant Logics

Shawn Standefer · Ergo an Open Access Journal of Philosophy · 2020

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.See Dunn and Restall (2002) or Bimbó (2006) for reader-friendly overviews of relevant logics. 1.2. How to understand the connection at issue is a delicate matter.Anderson and Belnap (1975) suggest a kind of connection based on use.An alternative conception is the sufficiency view of Routley (1977: 895ff.).A different approach to relevance is offered by Tennant (2017).

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