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Semantics for relevance logic with identity

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Abstract

Models are constructed for a variety of systems of quantified relevance logic with identity. Models are given for systems with different principles governing the transitivity of identity and substitution, and the relative merits of these principles are discussed. The models in this paper are all extensions of the semantics of Fine's “Semantics for Quantified Relevance Logic” (Journal of Philosophical Logic 17 (1988)).

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References

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Authors and Affiliations

  1. Philosophy Department, Dalhousie University, B3H 4H6, Halifax, NS, Canada

    Edwin D. Mares

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  1. Edwin D. Mares
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Additional information

I am indebted to J. M. Dunn for reading earlier versions of this paper. I am also grateful to Nuel D. Belnap, Jr., Robert K. Meyer, Timothy Day, and Adriano Palma for discussing the topic with me and to Kit Fine for helpful correspondence. Moreover, I am grateful to an anonymous referee for many useful suggestions. A slightly different version presented in a seminar in the philosophy department of the Research School for Social Sciences at The Australian National University. While working on this paper I was funded by postdoctoral fellowship 456-89-0128 from the Social Sciences and Humanities Research Council of Canada.

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Mares, E.D. Semantics for relevance logic with identity. Studia Logica 51, 1–20 (1992). https://doi.org/10.1007/BF00370329

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  • DOI: https://doi.org/10.1007/BF00370329

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