Truthmaker Semantics for Relevant Logic

Journal of Philosophical Logic 49 (4):681-702 (2020)
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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.

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Author's Profile

Mark Jago
Nottingham University

References found in this work

A World of States of Affairs.D. M. Armstrong - 1997 - New York: Cambridge University Press.
A World of States of Affairs.D. Armstrong - 1993 - Philosophical Perspectives 7:429-440.
Negation on the Australian Plan.Francesco Berto & Greg Restall - 2019 - Journal of Philosophical Logic 48 (6):1119-1144.
Relevant Logic: A Philosophical Interpretation.Edwin D. Mares - 2004 - New York: Cambridge University Press.

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