Truthmaker Semantics for Relevant Logic

Jago, Mark

Abstract

I develop and defend a truthmaker semantics for the relevant logic R. The approach begins with a simple philosophical idea and develops it in various directions, so as to build a technically adequate relevant semantics. The central philosophical idea is that truths are true in virtue of speciic states. Developing the idea formally results in a semantics on which truthmakers are relevant to what they make true. A very natural notion of conditionality is added, giving us relevant implication. I then investigate ways to add conjunction, disjunction, and negation; and I discuss how to justify contraposition and excluded middle within a truthmaker semantics.

Citation

Jago, M. (2020). Truthmaker Semantics for Relevant Logic. Journal of Philosophical Logic, 49, 681-702. https://doi.org/10.1007/s10992-019-09533-9

• Journal Article Type: Article
• Acceptance Date: Oct 3, 2019
• Online Publication Date: Jan 7, 2020
• Publication Date: 2020-08
• Deposit Date: Nov 6, 2019
• Publicly Available Date: Jan 7, 2020
• Journal: Journal of Philosophical Logic
• Print ISSN: 0022-3611
• Electronic ISSN: 1573-0433
• Publisher: Springer Verlag
• Peer Reviewed: Peer Reviewed
• Volume: 49
• Pages: 681-702
• DOI: https://doi.org/10.1007/s10992-019-09533-9
• Keywords: Philosophy
• Public URL: https://nottingham-repository.worktribe.com/output/3069195
• Publisher URL: https://link.springer.com/article/10.1007/s10992-019-09533-9
• Additional Information: Received: 5 February 2019; Accepted: 24 October 2019; First Online: 7 January 2020
• Contract Date: Nov 6, 2019