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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| Keywords | Truthmaking truthmaker semantics relevant logic relevance conditionality contraposition non-classical logic semantics |
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| DOI | 10.1007/s10992-019-09533-9 |
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References found in this work BETA
Truth-Maker Semantics for Intuitionistic Logic.Kit Fine - 2014 - Journal of Philosophical Logic 43 (2-3):549-577.
A Theory of Truthmaker Content II: Subject-Matter, Common Content, Remainder and Ground.Kit Fine - 2017 - Journal of Philosophical Logic 46 (6):675-702.
Negation on the Australian Plan.Francesco Berto & Greg Restall - 2019 - Journal of Philosophical Logic 48 (6):1119-1144.
View all 23 references / Add more references
Citations of this work BETA
Grounding Principles for (Relevant) Implication.Francesca Poggiolesi - 2020 - Synthese 198 (8):7351-7376.
Disjunctive Parts.Mark Jago - forthcoming - In Federico L. G. Faroldi & Frederik Van De Putte (eds.), Outstanding Contributions to Logic: Kit Fine. Springer.
No Normative Free Lunch: Relevance and the Autonomy of the Normative Domain.Singa Behrens - 2021 - Synthese 199 (5-6):13163-13186.
A Reinterpretation of the Semilattice Semantics with Applications.Yale Weiss - 2021 - Logica Universalis 15 (2):171-191.
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