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Some Multi-Conclusion Modal Paralogics

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Abstract.

I give a systematic presentation of a fairly large family of multiple-conclusion modal logics that are paraconsistent and/or paracomplete. After providing motivation for studying such systems, I present semantics and tableau-style proof theories for them. The proof theories are shown to be sound and complete with respect to the semantics. I then show how the “standard” systems of classical, single-conclusion modal logics fit into the framework constructed.

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  1. Department of Philosophy, University of Minnesota, Twin Cities, 831 Heller Hall 271 19th Avenue S, Minneapolis, MN, 55455-0310, USA

    Casey McGinnis

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  1. Casey McGinnis
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Correspondence to Casey McGinnis.

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McGinnis, C. Some Multi-Conclusion Modal Paralogics. Log. univers. 1, 335–353 (2007). https://doi.org/10.1007/s11787-007-0017-8

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  • DOI: https://doi.org/10.1007/s11787-007-0017-8

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