Truthmaker Semantics for Relevant Logic


Authors
Mark Jago
Nottingham University
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 specific 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.
Keywords Truthmaking  truthmaker semantics  relevant logic  relevance  conditionality  contraposition  non-classical logic  semantics
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