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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Mark Jago
Nottingham University

Citations of this work

The Laws of Thought and the Laws of Truth as Two Sides of One Coin.Ulf Hlobil - forthcoming - Journal of Philosophical Logic:1-31.
Conjunctive paraconsistency.Franca D’Agostini - 2021 - Synthese 199 (3-4):6845-6874.
Disjunctive Parts.Mark Jago - forthcoming - In Federico L. G. Faroldi & Frederik Van De Putte (eds.), Outstanding Contributions to Logic: Kit Fine. Springer.
Proof Systems for Exact Entailment.Johannes Korbmacher - forthcoming - Review of Symbolic Logic:1-37.

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References found in this work

A World of States of Affairs.D. M. Armstrong - 1997 - Cambridge University Press.
A World of States of Affairs.D. Armstrong - 1993 - Philosophical Perspectives 7:429-440.
Truth-Maker Semantics for Intuitionistic Logic.Kit Fine - 2014 - Journal of Philosophical Logic 43 (2-3):549-577.

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